diff --git "a/data/dm_maths/full_data_2/10912_11255.jsonl" "b/data/dm_maths/full_data_2/10912_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10912_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the greatest common divisor of 56 and 1688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**2 + 9*d - 4*d + 4 + 9*d - 5*d**2. Let y be g(-7). Let o(j) = -j**3 + 3*j**2 + j - 3. Let q be o(y). Which is bigger: -11 or q?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*f - 9. Suppose -5*q - 19 = 4*m, -4*q = -4*m - 3*q - f. What is the units digit of 48*(m\/(-4))\/(1\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/120 - 13*w**5\/60 - 5*w**4\/8 + 7*w**3\/3 + 9*w**2. Let v be i(14). Which is the biggest value? (a) v (b) 0.9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(36\/(-32)) + 12 + -6. Put 57, j, 5 in descending order.\nAnswer: 57, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-3 - 3) - (16 + 16 + -40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183512.53 + 182779. Round p to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 5*w. Let t be g(4). Let s be (200\/80)\/((-5)\/(-24)). What is the greatest common factor of t and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12467698 divided by 12467698\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-21) + 2\/(14\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 8 = -4*u. Let r(b) = 5*b**3 - 5*b**2 + 4*b. What is the tens digit of r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let s(p) be the first derivative of -3*p**2\/2 - 3*p + 6. Let q(y) = 1. Let d(i) = 3*q(i) + s(i). What is z(d(a))?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*i + 5*j, -8 - 17 = -5*i + 2*j. Suppose 0 = -5*x + i*p + 415, 2*p - 61 = 3*x - 308. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2\/a*a**(-2\/5)*(a\/a**(2\/7))**40*(((a*a**(5\/3))\/a)\/a**(1\/2))**(14\/9) assuming a is positive.\nAnswer: a**(29282\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2. Let p(v) = -15*v**2 - 73*v - 3. Let o(x) = 44*x**2 + 207*x + 9. Let b(c) = 6*o(c) + 17*p(c). Calculate -b(l) - 6*u(l).\nAnswer: -3*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Suppose -2*t + 5*b = m*b - 51, 2*b - 150 = -5*t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/5 - 7\/35. Let q be 2*2 + -2 + 2. Solve 0 = -q*m - 0*y + y - 17, -5*m - 4*y - 16 = c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/8690 and 27\/23147000?\nAnswer: 254617000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173.00158 + -173. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1625*s**2 + 55*s - 29. Let o be c(4). Round o to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -10. Let v(o) = -o**3 + 8*o**2 - 6*o. Let u be v(h). Let z be (2\/4)\/(u\/56). Solve 0*x - z*x - 5*w = -25, 0 = -3*x + 4*w - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6, -3*w = w - 3*o - 37. Let t = 26 - 24. Suppose -m - t*m = -81. Solve 4*p - w + m = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4989)\/(-12) + -10)*8\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 1620*u**2 - 5*u - 1620 = 0.\nAnswer: -324, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 32. Let b(o) = -3*o + 16. Let p(v) = 11*b(v) - 6*f(v). Let j be p(-5). Let x be (0\/(-1))\/(j + -1). Put -2\/3, x, -0.5 in ascending order.\nAnswer: -2\/3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560635, 560724, 560811, 560896, 560979, 561060, 561139?\nAnswer: 561216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53487 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**2 + 0*v**4 + 0*v**3 + 0 + 1\/240*v**5 + 1\/480*v**6 + 0*v. Factor o(r).\nAnswer: r**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16020, -63584, -142676, -253284, -395396?\nAnswer: -569000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(10680\/5325 + (0 - 2)). Let y = v + 184\/497. Put -5, -1\/4, y, -3\/14 in descending order.\nAnswer: y, -3\/14, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -560, -999, -1560, -2243?\nAnswer: -3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n)**(-37)\/(((n\/n**(-1))\/n*n)\/n)**(12\/5) assuming n is positive.\nAnswer: n**(-406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/238)\/((-2)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 12*o**2 + o + 1. Let k be l(-6). Sort 4, k, 2, 1 in ascending order.\nAnswer: k, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1648651, 1648649, 1648647, 1648645, 1648643?\nAnswer: 1648641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428 + 6931*v**5 + 3*v**2 - 428 - 4*v**2 + 6*v**2 + 118*v wrt v.\nAnswer: 415860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.168 - -0.048. What is the second smallest value in -4, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ccb (base 15) to base 14\nAnswer: 10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y**4 - 115*y**3 + 5*y**2 - 14*y. Let m(s) = 2*s**4 - s**3 + s**2. Let c(g) = -l(g) + 5*m(g). What is the second derivative of c(u) wrt u?\nAnswer: -36*u**2 + 660*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -176*n - 153. Let s(t) be the third derivative of -117*t**4\/8 - 307*t**3\/6 - 192*t**2. Let g(x) = -2*s(x) + 5*w(x). Differentiate g(h) wrt h.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2705*w - 11483*w - 11092*w - 12257*w + 2706*w to i + y*w and give y.\nAnswer: -29421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4644188.\nAnswer: 2, 1161047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46, 1\/2, -0.3, -4, -8, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 799*g**2 - 200995*g + 4998. Calculate z(-1000).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(6776) - sqrt(6776)) + sqrt(6776) - sqrt(56) - sqrt(56))\/sqrt(2))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-26) + 2 + 24\/(-13). Suppose f - i = 17, -4*f - 5*i + 2*i + 82 = a. Solve -5*p = -f - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15522 - -338.15522. Which is the fourth smallest value? (a) -3 (b) -1 (c) -2\/9 (d) -2 (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -572, -597, -626, -659, -696, -737?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4\/4 - 6970*x**3 + 97259323*x**2\/2 - 679679606*x + 6406240137\/4 = 0?\nAnswer: 3, 11, 13933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 2 = 2*r, -6 = 3*g + 3*r. Solve 2*k + g = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*6 + (0 + sqrt(68))*-5 - (5 + -2*sqrt(68) + -4 + (1*sqrt(68) + sqrt(68) - sqrt(68))))**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let f(u) = u. Let o be f(2). What is the third derivative of -3*l**6 + 2 - 3*l**2 - o + s wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 3*r**2 + 7*r - 6. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 17*q**2 + 8*q - 371. Give l(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 3 + -7 - -3. Suppose y + 0*n = 2*n + 91, 4*y - 339 = u*n. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b2 (base 14) to base 16\nAnswer: 6bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1572159?\nAnswer: -1\/1572159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 36817210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 9) in base 3?\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + 11 + -6 - 16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in 0.1, 7\/16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*y + 4, -4*j = 4*y + y - 17. Suppose -40 = -m - j*w, 5*m = -w - w + 161. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u. Let g be c(3). Suppose -81 = -2*w + 4*k + 7, g = -2*k - 4. Is (-39)\/(-2)*w\/12 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9369\/8420 + -6082633\/4437340. Let i = m + 42\/17. Suppose 0 = 1986*j - 2004*j + 18. Is j bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 53585*o**2 - 9015100*o - 18244580 = 0. What is o?\nAnswer: -2, 173, 10546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 206, 805, 1804, 3203, 5002?\n\"Answer: 200*t**2 - t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/23, 4, 5, 23, -5\/4, 2\/19 in ascending order.\nAnswer: -5\/4, 1\/23, 2\/19, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - p**2 - p - 1. What is the units digit of o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 - -8.3. Which is the smallest value? (a) -3\/2 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*c*k**3*v - 150839*c*k**3 - c*k**2*v + 384*c*k**2 - 2*c*k*v + 2*k**2*v - 283*k**2 wrt k?\nAnswer: -426*c*v - 905034*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -5638508\nAnswer: 112770.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473215952 to the power of 1\/2, to the nearest integer?\nAnswer: 21754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - 5*f - 4. Let k = 236 + -241. What is n(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than or equal to 0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 + -0.0178390316?\nAnswer: -363.0178390316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 2, 1 in decreasing order.\nAnswer: 2, 1, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -114.4. Let m = 13 + -5. Let b = -1.4 + 1.7. Sort m, b, g.\nAnswer: b, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 3 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 43. Let t = -0.05 - -0.25. What is the nearest to t in 2\/11, c, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, n: 11, b: 2}. What is prob of sequence bb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)*v\/(((v**10*v)\/v)\/v*v))\/(v\/(((v*v\/(v*v*v*v\/(v*v*v**20*v))*v*v)\/v)\/v))**(5\/8) assuming v is positive.\nAnswer: v**(81\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1982, 1980, 1978?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 130 = -h. Calculate the highest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(5*sqrt(112)).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7489 less than -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*w - 2, -z - 2*w - 10 = -2*z. Suppose 10*p = 2*p + 24. What is the derivative of -4 + z - 2 + p*f**4 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3360 and 5378240.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 = 4. Put k, -4, 0, -3 in descending order.\nAnswer: 0, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173231 and 4009?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - sqrt(272)*-3)**2*-1 + sqrt(272) + (sqrt(272)*2)**2 + 3 - ((2 + sqrt(272)*-2 + sqrt(272))*4*2)**2)*3.\nAnswer: -62775 + 3084*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2753989 and 469651?\nAnswer: 2779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + (-6 - 11) + 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + 445?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 287977877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 506\/(4\/(-2)) - 1. Let b = d + 465. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 219364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 2612*v + 10384.\nAnswer: 4*(v - 649)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 5. Let b be (3\/(-4))\/(2\/8). Is 7 a factor of (q\/(-6))\/(b\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5\/7 - 636*b**4\/7 + 1336*b**3\/7 + 7568*b**2\/7 - 25632*b\/7 + 2944 = 0. Calculate b.\nAnswer: -161, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35729 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*b + 1840 = 0, -3*b = -4*u + 1346 + 153. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233707 (base 9) to base 3.\nAnswer: 21010210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 + 5*l - 7. Let b be d(3). Solve -b*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 291.33 and 20?\nAnswer: 5826.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnwetnkneennwnkte?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1666*c**4*r**2 - 2*c**3*r**2 + 5*c**2*r**2 + 2*c*r - 8*r**2 wrt c?\nAnswer: 39984*c*r**2 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66122 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39902986961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328623200 = 160*a + 4*a. Round a to the nearest 10000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-3)*9\/(-2). Solve u*c - 3*c + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 21, 80, 193, 378, 653, 1036?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 31.93. Let w = j + -33.4. What is w rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 18*z**2 + 11421*z - 33966.\nAnswer: -(z - 3)*(z + 51)*(5*z - 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-5*(-12)\/15. Suppose k*q = 4 - 0. Let i(x) = x**3 + 3*x**2 - 2. Let y be i(-2). Do q and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 5394590*k**3 - 1455085457985*k**2 + 2910154732220*k - 1455074668820.\nAnswer: -5*(k - 539458)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.5539 millennia to months.\nAnswer: 9462646.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 f when three letters picked without replacement from {y: 5, f: 5, h: 3, v: 1, g: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/12 - h**3\/3 - 3*h**2\/2 - 2*h. Let q be j(-2). Is 75 - (0 - (q + 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887955 is divided by 471986.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9128 and 3912?\nAnswer: 27384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.4, -2\/137, 0.072, -4, 0.3.\nAnswer: -4, -2\/137, 0.072, 0.3, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d + 14. Let o be a(3). Put 1, 3, o in increasing order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0. Let n = 0.42 - 0.52. Let y = 3 + -6. What is the closest to -0.3 in y, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -11*q**8\/336 - q**5\/15 - 4*q**2. Find the third derivative of a(u) wrt u.\nAnswer: -660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*v + 84, 4*v - 366 = 5*w + 2*v. Let h = w + 130. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -2\/3, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p + 237 = w, 3*p - 474 = -2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 124, 274, 488, 772, 1132, 1574, 2104?\nAnswer: 2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + 9\/(-3 + 0). Suppose -u + 5*t = -h, -4*u - 7*t = -2*t - 6. Let v = -665 - -675. Calculate the highest common factor of u and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjxjvvjxvjjvvvxxj. Give prob of sequence ddx.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 2, m: 2}. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 322?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 6*a - 10*a + 12, 0 = 4*u + 2*a - 6. Suppose u = 18*t - 12*t - 12. Solve 3*p = -v - t, 4*p - v + 12 + 0 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/3280205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -514*k - 262*k + 2310. Let a be (-1 - 14 - -2)*1. Sort a, -3, k in increasing order.\nAnswer: a, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from -0.0150351.\nAnswer: -0.1850351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/81, -2, -0.3, 9, -1\/4 in decreasing order.\nAnswer: 9, 1\/81, -1\/4, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95090.99 millennia to years.\nAnswer: 95090990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 4*y - y)*(-5 + 9*y**3 + 2 - 6*y**3) in the form f*y**4 + b + p*y + v*y**2 + g*y**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71431, -142846, -214257, -285664, -357067?\n\"Answer: 2*l**2 - 71421*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and (-2)\/9 - ((-56650)\/99 + 10)?\nAnswer: 5620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26402 + 97634 = -0*q + 28*q. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let j be 2 + g\/(-1) + 2. Solve 0 = -3*p - 1 - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 9*s + 29 = 2*w, -3*s - 5 = 5*w. Let x(r) be the first derivative of 1\/3*r**3 + 5 + 5\/2*r**2 - w*r. Give x(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let c be 9\/(-12)*(0 + 4). Let n(w) = 2*w**2. Let m(d) = 4*d**2. Let g(z) = c*m(z) + 5*n(z). Calculate q(g(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -4 (c) 4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 - l - 5. Let q be n(3). Differentiate q + 19 + 9*p**3 - 11*p**3 - 5 wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 2 + 20*q + 350*q. Let j be c(1). What is the highest common factor of 45 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 47*b**4 - 8*b**4 + 0*b**3 + 0*b**3 + b + 56*b**4 - 3*b**2 in the form x*b**3 + f + w*b**4 + l*b + h*b**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/81)\/((-4)\/6). What is the nearest to m in -0.4, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1096\/1969 + -2\/179. Sort 0.1, k, -4, 1\/9.\nAnswer: -4, 0.1, 1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/8 - (610\/(-272) - -2). Which is the nearest to -2? (a) s (b) -0.2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -11.8. Let g = -26.8 - -26. Let i = j + g. What is the smallest value in -0.4, 0.03, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-2)*(-812)\/609?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 2084.\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.92 - 0.2. Let t = 0.82 - s. Which is the nearest to t? (a) -1\/6 (b) -6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 963015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + 38\/8. Let n = -2 + u. Let b(d) = d**3 + 7*d**2 + d + 9. Let x be b(-7). Solve n*v = -s + 4 - 2, x*s = 2*v - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18222 - 18227. Let v = -4 - -41. Which is the third biggest value? (a) 1\/5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836937 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -7, -3, -1824, 5 in increasing order.\nAnswer: -1824, -7, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**5*i)*(i\/i**(-3\/10))\/i*i)\/(i\/((i**(3\/4)*i)\/i)*i**(-14\/9)) assuming i is positive.\nAnswer: i**(-431\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.16978 millilitres in litres?\nAnswer: 0.08816978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-20)\/48. Let f = 20\/21 + l. What is the closest to 2 in f, -2, 0.04?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52843347 - -0.304\nAnswer: -52843346.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1133914 divided by 6\nAnswer: -566957\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**2\/9 - 19912*b\/9 - 402276 = 0?\nAnswer: -4789, -189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111000101011100 + 1000001100?\nAnswer: -11100110111101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2637019074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/20 + 11*g**4\/12 - 3*g**3\/2 - 9*g**2\/2 + 4*g. Let i be d(10). Let o = 7 - i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 110 = -100 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(7) + 1)*1 - sqrt(7) - (sqrt(112) + -1)) + -5)**2.\nAnswer: 40*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 8, -2\/33, -2\/7, -0.06 in descending order.\nAnswer: 8, 4\/7, -0.06, -2\/33, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/42 and 19\/36142638?\nAnswer: 36142638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 884 = 3*h. Suppose 5*x - 177 = 3*v + 100, -4*x = -3*v - h. Suppose 0*s - s + x = 0. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 127896\/720 - 3\/(-30)*-8. Let v = -355\/2 + s. Which is the nearest to v? (a) -0.3 (b) -1\/5 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*n - 26, 4*h - 141 = -5*n - 54. Solve 39 - h = 8*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225*-0.028.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966775 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/384 and -13\/288.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*y - 15 = x, 5*x = -4*y + 25. Suppose 3*z + 0 + 40 = -n, 36 = -2*n + x*z. Find the common denominator of -69\/20 and 220\/42*(0 - n\/96).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5837.745 rounded to the nearest 100?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 + 76*u - 211 - 11*u**3 + 75*u - 147*u.\nAnswer: -11*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2774.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {h: 3, b: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 724 and 144?\nAnswer: 26064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101000010 - 0?\nAnswer: 101101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 917770*a - 917770*a - 4640*a**2 + (0 - 2 + 1)*(-2 + 2 - 2*a**2) + a**2 + 5*a**2 - 4*a**2 - 6*a**2 + 3*a**2 + 5*a**2.\nAnswer: -4634*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 4*f)*(4 + 14 + 27) + (-f + 4*f - 5*f)*(1 - 2 - 1).\nAnswer: 139*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w + 58. Let z(d) = -30*d - 174. Let s(v) = -10*m(v) - 3*z(v). Is 22 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 13*j**9\/504 + 37*j**5\/60 - 32*j**2. What is the third derivative of r(v) wrt v?\nAnswer: 1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/336 and -17\/35?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**5 + j**5 - j**5 + (-j**3 - 2*j**3 + 0*j**3)*(-2 + 2 - j**2) + j - j - 2*j**5.\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22418800 and 410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -2*v. Find f, given that 4*f**2 + v*f**3 + 125*f**4 - f**2 - 5*f**2 - 126*f**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from {b: 6, t: 6, e: 3, i: 2, s: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnnbnbbnfndqbb. Give prob of picking 1 q and 2 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**2*v*w**2 - 3*g**2*v*w + 1261*g**2*w + 4*g*w**2 - 2*g - 7*w**2 wrt w.\nAnswer: -20*g**2*v + 8*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237227 (base 8) to base 9.\nAnswer: -133781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(((-4288)\/(-2784))\/67)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**8\/4200 + s**6\/900 + 40*s**3\/3 + 67*s**2. Let c(g) be the first derivative of x(g). Factor c(n).\nAnswer: -2*n**2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 51 - 26 = 4*s, 3*s - 10 = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2665*y**2 + 1170*y - 3504. What is the thousands digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 579660*u**3 + u**2 + 8444 + 13*u - 579660*u**3 - 41*u**4 with respect to u.\nAnswer: -164*u**3 + 2*u + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414473364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.004, -0.13, 3 in ascending order.\nAnswer: -0.13, 0.004, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7833684207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/6 + 20*z + 2. Let j(q) = 17 - 6 - 27 - 2*q. Calculate l(j(g)).\nAnswer: -8*g**2 - 128*g - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:09 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(sqrt(637) + -2*sqrt(637) + -5).\nAnswer: -84*sqrt(13) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.24 - -20.6. Let b = 6.63999543 + l. Round b to seven decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.67124 to 3 decimal places.\nAnswer: 3.671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-340)\/153)\/((-18)\/81)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z + 4. Let l be 2*-3*1 - 0. Let i(w) be the first derivative of 17*w**2\/2 + 7*w + 19. Calculate l*i(c) + 11*g(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6429*d - 6237*d - 965 = 1147 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, l: 9, v: 3, r: 3}. Give prob of sequence llll.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506, -497, -474, -431, -362?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Which is bigger: -1\/66 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 - 294*b**4 - 6756*b**3 + 14136*b**2 + 1072512*b - 2142720 = 0?\nAnswer: -62, -24, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.51 to one dp.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1792 - 1790.156. Round f to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 562, 1342, 2434, 3838?\nAnswer: 5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 211676961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7526919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-17)\/34)\/(2\/(-20)). Let o(j) = j + 1. Let z(w) = 6*w + 7. What is y*o(f) - z(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(1 - 3)\/2. Let x = 4 + -3. What is the nearest to -2 in x, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 118*f**2 + f. Let x be u(-1). Let c be 15\/(-12) + x\/36. Solve v + 4 = c*t, 0*t = -v - t + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 + 20*l + 3. Suppose -3*j = -3*z - 11 - 1, 0 = -j - 4*z + 19. What is the remainder when a(j) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c*m - 57286*c + 1029562*m wrt c?\nAnswer: -6*m - 57286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 5 = 12*k + 5*p, 0 = k - 2*p - 11. Suppose -f - 14 = -k*c, -3*f + 5*c - 20 = 2*f. List the prime factors of 18*(-4 + 3)*(-13)\/f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 7}. Give prob of sequence uuu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9*(-7 - (-85)\/10). Solve -l*n**3 + n - 2\/3*n**2 + 0 = 0 for n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 4*k - 16, 5*f = -20. Solve -k = 5*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 37. Let p(c) = -36*c**2 - 21*c + 21. Let f(b) = 7*b**2 + 4*b - 4. Let s(t) = y*f(t) - 4*p(t). Let q(h) = 6*h. What is q(s(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - o - 20 - 10 - 27 to the form c + k*o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*v = 18 - 28, v = -o + 4. Sort -4, 2, o, 0, 5.\nAnswer: -4, 0, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + (-12138)\/(-189). Suppose -5*w - 256 = -4*t, 4*t - 3*t = 2*w + j. Let s be (-1 - -2)*47 - -1. Calculate the highest common divisor of s and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/542952 and -52\/135.\nAnswer: 8144280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -40 - 24 - 3*b + 108 - b - 33. Determine l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 17*p + 39. Sort p, 2, 4 in increasing order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(8)\/sqrt(4))**2 + sqrt(2) + -3 - (sqrt(96)\/sqrt(6))\/sqrt(2)) + -3.\nAnswer: -6 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16712 + 5477. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*k - 1. Let a be k\/(-2) - (-4)\/(-8). Are 1.1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5068 (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5459553*s**3 + 4367472?\nAnswer: 16378659*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104400 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*s + 173*s - 16114 = 0. Let j = -488 - s. Does 51 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + (-165)\/15 + 1*-4. Solve z = 3*x + t*z + 1, -3 = -3*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -942 (base 13) to base 14\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 0, -5, 1 in increasing order.\nAnswer: -5, 0, 1, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -70, -109, -148, -181, -202, -205, -184?\n\"Answer: c**3 - 9*c**2 - 13*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5288*m**3*n**2 - 2*m**2*n - 78*m*n**2 + 4*m + 2*n wrt m?\nAnswer: -31728*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-21 + 15) - -29?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0 + 0*s + s**2 + 0*s**3 - 1\/12*s**4. Let f(b) = -b + 0*b + 3*b - 3*b. What is i(f(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjjqqq. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*((-4)\/5 - 0). Let i = -52 - -53. Let n be j - i - 6\/(-2). Solve -a = -3*a - n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 10 = o. Let k(m) = -30*m + 1. Let z be k(o). Let b = 100 - z. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490904 is divided by 496964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - 6) + 4 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/10 + 28\/20. Suppose 0 = -h + 8 + c. Suppose -3*q + 4*q - 15 = -4*v, 3*v + 5*q = -h. Solve -12 = 2*d - v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*a - a. Let h be (-98)\/(-34) + a\/102. Solve 4*j - h + 23 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.3. Let p = 30 + -43. Let t = 8 + p. Which is the biggest value? (a) 1\/3 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x. Let q(n) = -n + 29*n - 27*n**2 - 26*n - 2*n. Determine d(q(j)).\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000251773491 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25057 - -25288. Is f at least as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*q**2 + 9*a**3 - 4*a**2*q**2 + 2*a**2*q - 77*a*q**5 - 38*q wrt q.\nAnswer: -2*a**3 - 8*a**2 - 1540*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 54 = 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 3\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 1757901*b\/10 - 35158.\nAnswer: -(b + 351580)*(5*b + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4429*w**2 + 258*w. Let p(i) be the second derivative of 43*i**4\/6 + 5*i**3\/6 + 6540*i. Calculate -5*c(a) + 258*p(a).\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - 0. Let d be (-30)\/40 + (-38)\/f. Suppose -o - 4*l = -55, -o + l = -d*l - 10. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 13. Does 12 divide 6\/v*3*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 828399, 1656797, 2485195?\nAnswer: 3313593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/9 - 8\/63. Suppose 4*u + 270 = -u. Let n be (6\/u)\/((-2)\/12). Which is the biggest value? (a) -2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1041473680 to the nearest integer?\nAnswer: 32272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*3) + 4 - sqrt(10)\/(sqrt(5) - (sqrt(20)\/sqrt(4) - sqrt(5)))*4.\nAnswer: -11*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 13 = -33. Suppose -d*q + 21 = 2*q. Suppose -q*j + j = -6. Solve 24 = -3*z - j*l, 3*z - 5*l = 1 + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-7 - (-5 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -404640, -404650, -404670, -404706, -404764, -404850, -404970, -405130?\n\"Answer: -n**3 + n**2 - 6*n - 404634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 - 19*f**3 - f**2 - 11*f**3 + (-3*f**2 + 3 - 3)*(1 + 33*f - 38*f + 41*f).\nAnswer: -142*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, k: 1}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*h - 4*i, 1641 - 832 = 5*h + 3*i + 865 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4458319507 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 5. Let r(j) = 3*j - 4. Let f(l) = 5*r(l) + 4*z(l). Let t(a) = -2*a - 10. Let b(c) = 1. Let i(s) = -40*b(s) - 4*t(s). What is i(f(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-1 - -3)*2. Let o be 182\/(-3 + 1)*j. Is (o + -7)*(-1)\/(-2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012080969.\nAnswer: 3, 9419, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8255 is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92.43 - 92.42991349. Round a to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20339\/12 + 1694. Find the common denominator of (-63)\/(-102) - (-4)\/(-34) - 44 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g - 158. Calculate i(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 11:54 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 2 + 2*d**4 + 2*d**4 + 0*d + 0 as c + t*d**4 + s*d + l*d**3 + g*d**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -72, -12, 4, 5, -5 in descending order.\nAnswer: 5, 4, -1, -5, -12, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -46*a - 4. Let x(g) = -92*g - 9. Give -5*n(p) + 2*x(p).\nAnswer: 46*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2721 = 4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -426, 4, 6, 5 in ascending order.\nAnswer: -426, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127.5 - -127. Which is the second smallest value? (a) -5\/6 (b) -0.1 (c) k (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26665 > 26664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 - -206. Which is the nearest to -0.2? (a) 1\/6 (b) -3\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -25. Suppose v + 13 + i = 0. Find the common denominator of 186\/v*25\/(-10) and -51\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 3:18 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-9 + 5 + 4 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/18768160 and 107\/40?\nAnswer: 18768160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1 + 2 + 5 + s. Let g(h) = -53 - 533*h + 532*h + 48. Suppose a + 2 + 3 = 0. Calculate a*t(z) - 6*g(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 827045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6218 - 3?\nAnswer: -6222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12087 + 40387 = 1628*n - 14274 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1*12\/(-4))*28\/35. Sort 5, 1, -9, -2, i.\nAnswer: -9, -2, 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12621847 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-27624)\/15)\/4)\/((-1)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -86*s**3 - 15*s**2 - 8*s - 25. Is w(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21854097*u + 17624413 wrt u.\nAnswer: -21854097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.4, 0, -208\/59, -4698?\nAnswer: -4698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 3512966.\nAnswer: 21\/1756483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1060 or -1059?\nAnswer: -1059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*j + 2020 = 2025, j = -2*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from {n: 3, p: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1596 - 1439. Let m(v) = v**3 - 7*v**2 + 3. Let x be m(4). Let f = w + x. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/a**(2\/11))\/(a**11\/(a*(a**7\/a)\/a*a)) assuming a is positive.\nAnswer: a**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:21 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16648682971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/7)\/((-3)\/(-21)) - 924498. What is p rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (4 - 0) - (3 + (-378)\/27). Let j = 0.02 - 0.32. Which is the closest to j? (a) 3\/8 (b) p (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(4*b - 2*b - 3*b) + b - b - 2*b + 5 - 5 + 8*b + 10 - 10 + 8*b.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -229*a + 229*a - 18*a**2 + (-a - 3*a + 2*a)*(-2*a - 2*a + 5*a) + 0*a**2 - 15*a**2 + 4*a**2.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11381416 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 7*u**2 - 6*u + 4. Let a be h(-6). Solve 8*k = a*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21182 is divided by 5237?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*a = -a + 3, a = 3*q - 1. Is 3\/125 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + r - 14 = 0, -5*l + 5*r + 28 = -22. What is the remainder when 33 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5 + 9790*s**4 - 4801975*s**3 + 9555050*s**2 + 4801980*s - 9564840 = 0. Calculate s.\nAnswer: -1, 1, 2, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q**2 - 8*q - 9. Let x be h(5). Determine u, given that 420*u - 100*u**2 - x - 98*u**2 - 4 - 47*u**2 = 0.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572150 is divided by 667?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*k - 6 = 0, -3*z - 3*k = k - 10. Suppose 0 = -c - 4*s - 11, -2*c - 2*s = 22. Let n be 4\/(-1) - (7 + c). Solve -z*l + 2 - 8 = n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17356 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, k: 4, m: 5, d: 2, g: 1}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -187, -414, -681, -988?\n\"Answer: -20*q**2 - 167*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = o + 65949988, 146*t = -5*o + 141*t - 329750020. What is o rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:27 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1637, 2651, 4401, 6887?\n\"Answer: 368*f**2 - 90*f + 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0)\/(-1)*1. Suppose 0 = -n + 4*n + 4*i - 20, 2*n - 2*i + 10 = x. Is 1 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*m - 102, 4*m - m + 78 = 5*a. Let i = 26 - m. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 2\/3 (c) -0.8 (d) -7 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 330 = 0. Let b = 24 - p. What is the remainder when b is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 128?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 25 - 9 + 2*r)*(3 - 3 + 3*r)*(-3*r + 4*r + r).\nAnswer: -6*r**3 - 204*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7807510 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2410 + 2488 + r**2 + 0*r**2 - 4898.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16918 + -16914. Sort j, -3, -2, 0, 2.\nAnswer: -3, -2, 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3\/3 + y**2\/2 + 153. Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175479\/5 - 35096. Which is the nearest to -0.1? (a) -5 (b) m (c) 3\/4 (d) 1075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(20) + sqrt(5) - sqrt(5))*-4)**2 - sqrt(25)\/((sqrt(45) - (sqrt(45) - sqrt(90)\/sqrt(2)))\/sqrt(9)).\nAnswer: 255*sqrt(5) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4744)\/(-10) - 9\/(-15). Suppose 4*t - 31 - j = y, 2*t - 246 = 4*y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-11) - ((-4)\/(-22) + 0). Suppose 37 - 17 = m*v. Which is the biggest value? (a) v (b) -2\/17 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*q**2 + 208*q**2 - 9*q + 7*q + 2*q.\nAnswer: 272*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37912 divided by 9478?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s*s**(-2\/7))**(-1\/39)*((((s**(2\/13)\/s)\/s)\/s)**(-23))**(-49) assuming s is positive.\nAnswer: s**(-875726\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 - (-34)\/(-2) - (-1 + 9) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*p = 4538*p + 82688 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.732568t to milligrams.\nAnswer: 732568000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 818 + -225. Let h = 133 + k. Let y = h - 726.0307. What is y rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = 5*r + 1, 0 = -2*r - 2*s + 20. What is the nearest to -0.1 in -4, -19\/4, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtq when three letters picked without replacement from {m: 4, q: 2, t: 6, p: 3}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 3, a: 3, z: 3}. What is prob of picking 1 z and 1 k?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 2. Let j(q) = q**2 - 5*q - 1. What is -3*j(o) - 2*u(o)?\nAnswer: -3*o**2 + 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369 + 31.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5344.72575 rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/4? (a) 4 (b) 0.1 (c) 1176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(252))*6 + -3)**2 - -4*(sqrt(63) + -1 - (2 + sqrt(7) + 0)).\nAnswer: -208*sqrt(7) + 9066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-140)\/(-3) + 10\/30. Let p = -38 + j. Solve 5*w - 4 = 2*k - 13, -5*k + p = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 + 6*m + 6. Let q(g) = 13*g**2 - 11*g - 11. Let s be 3\/6 - 22\/(-4). Let k(o) = s*q(o) + 11*j(o). Let w(l) = -16*l**2. What is k(w(h))?\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359116, -718344, -1077572, -1436800, -1796028, -2155256?\nAnswer: -2514484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/10*(-920)\/12. Let a = 46 + -56. Let n = a + i. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 12) to base 14.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*h - 2*h = -3*j - 46, 296 = -4*j - 12*h - 8*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-65)*(-41)\/2)\/((-74)\/4995*27)?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*q - 10, q + 21 = 3*l + 2*l. Suppose -l*n = 13 - 5. Calculate the remainder when (99\/3 - 1) + n is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l + 3528 + 861 = 139*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.9 + 23.7. Let i = 1.1 - 0.5. Let y = -1 + i. Which is the second biggest value? (a) y (b) d (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -106, -159, -212, -265?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 20 = 0. Factor l - 10*l**3 - 5*l - 3 + 12*l**2 - 2*l + n + 3*l**4.\nAnswer: (l - 1)**3*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 11, n: 7}. Give prob of sequence zjj.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 316409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -62033746\nAnswer: -248134984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-14))\/((-9)\/12). Suppose 5*y - 7 = 8, -3*y + 4 = -5*h. Let j be 6\/9 + h\/3. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (492\/(-18) + 0 + (-50)\/30)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9661 - 9669. Let m = 6 + -11. What is the closest to 0.1 in m, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25707535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259715212 by -3.\nAnswer: -259715212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2673 and 1215?\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + 95 + 1 + (2 - (3 - -3)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - k**2 + 1 + (6*k - k + 3*k)*(-4*k + 4*k + k)*(2 - 1 - 3) in the form c + f*k + z*k**2 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u. Let d be o(-2). Let a(l) = -1 + 0*l - 2*l**2 - 3*l**2 + d*l + 7*l**2. What is a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h + 95. Let v be s(-18). Solve 18 = 2*r - v*o, o + 2 = -r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*1*10\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7324800 divided by -240\nAnswer: -30520","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 367*h**3\/6 + 347*h**2 + 6*h + 2. Find the first derivative of c(m) wrt m.\nAnswer: 367","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1881810)\/3969)\/(-103) - 2\/63.\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/12 + f**3\/3 + 95*f**2. Let z be 21\/12 + (-1)\/(-4). What is the remainder when i(z) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:33 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -27. Let c = 2 + 7. Let p = c + -6. Solve -l*w = -2*y + w + 16, 15 = 3*y - p*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b**3 + 254370*b**2 - 1357600*b + 1810560 = 0 for b.\nAnswer: -5658, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a83a (base 12) to base 6.\nAnswer: 221314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 3720 = -42*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s**2 + 21*s**2 + 7 - 9*s + 20*s**2 - 64*s**2. What is w(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (0 + sqrt(112))*-1)*1)**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*o + 325 = 0, 2*o = -5*v - o + 547. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q - 2*h = 82*q - 68, 2*h - 8 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + -4 + sqrt(18) + 3 - sqrt(18)) + 1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:25 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-732)\/(-26) + ((-276)\/299)\/6. Solve -6*q - 52 = -y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -2*t**3\/3 + 12*t**2 - 28*t. What is the smallest common multiple of 5 and j(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110531?\nAnswer: 107, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, f: 1}. What is prob of sequence qq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -2*z - 4*t + 48, 8 = -4*t. What is the lowest common multiple of 164 and z?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*(-407)\/4884.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1445*n - 2889. Calculate j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in 0, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/((-5)\/1825). Let y = l + 1696. Suppose -r + 5*r - y = 3*h, 323 = r - 4*h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -179*w**5\/60 - 64*w**2. Let x(n) be the second derivative of n**4\/12 + 3*n. What is x(r(y))?\nAnswer: 32041*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 5\/3, 20\/3, 11444?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 55.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -153)\/(-62)*2\/140?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -199570652*-0.4\nAnswer: 79828260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29266 + -29266. Solve i = 17*g - 13*g - 3*h + 20, -g + 2*h = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30*1)\/((-890)\/(-35600)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*s + 22, -4*s - 2*k - 14 = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k + 4. Let t be v(0). Suppose -4*l - 2*j = -86, -2 - 15 = -l + t*j. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.242366, -26, -1 in increasing order.\nAnswer: -26, -1, 7.242366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26731 in 4\/5, -0.015, 5\/3, 3?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, w: 9, j: 1}. Give prob of picking 2 w and 1 j.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6253 is divided by 231?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002160886 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 112?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 40*v**2 + 65*v. Let n(h) = 2342 - 2342 + 20*h**2 + 33*h. Let r(x) = 4*a(x) - 9*n(x). What is the second derivative of r(m) wrt m?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.8 (b) 0.5 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/5 + 148*w**4\/5 - 254*w**3\/5 + 52*w**2\/5 + 51*w\/5 = 0. Calculate w.\nAnswer: -51, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-2*j + 2 - 2) - 63460*j + 31730*j + 43 + 31735*j to the form c*j + u and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 12 = 4*v, -5*v = f - 4*f + 15. Suppose 12 = 4*s - f*s. Let p = -8 - -8. Solve -3*t + 1 = -r - p, -s*t - 3 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-1)\/((-10)\/6*112\/(-1120))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 7. Suppose 0 = 2*s + 2 - 10. Suppose -s*b - 36 = -7*b. Suppose 0 = -5*g - b + 37. Let c(w) = 3*w + 3. Give g*c(d) + 2*z(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*h**5 - 108*h**5 + 46*h**5 - h**5 + 3*h**5 - 3*h**5 + (-1 - 5 + 4)*(-4 + 2*h**5 + 4) - 2*h**5 - h**5 + 4*h**5.\nAnswer: -81*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**6\/14 - 9*u**5\/35 - 9*u**4\/28 - u**3\/7 - 8. Find h such that m(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 148 = -10*v + 6*v, 0 = -g + 5*v + 74. What is the remainder when 369 is divided by g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.604 + -48.004. Put -1\/13, 3, z in increasing order.\nAnswer: z, -1\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:23 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 8. Let n be m(6). Solve 2*c = 5*x - 20, -5*x - n = -x + 2*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d + 3*v - 11, 4*v + 2 = 3*d. Let s(h) = -h**3 + 2*h**2 + 3*h + 4. Let o be s(3). Suppose -o*q + 38 = -d. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let l be (-76)\/12 + x\/(-3). Let t = l - -11. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1959 = -5*c - 1949 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8914549, -8914542, -8914535, -8914528, -8914521, -8914514?\n\"Answer: 7*x - 8914556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(-1*sqrt(99) + sqrt(99)))\/((sqrt(9) - -5*sqrt(81))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1851*g + 1853*g - 30 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -26*b**2 + 10*b - 4. Let j(z) = 25*z**2 - 8*z + 3. Let a = -88 + 92. Let y(p) = a*h(p) + 5*j(p). Let w(f) = -2*f. What is w(y(k))?\nAnswer: -42*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 7978 = 59*v + 1354. What is the greatest common divisor of v and 2336?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 2, -296, -22 in descending order.\nAnswer: 12, 2, -1, -22, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/(-2 + -4). Let r = 10955 - 10954. What is the nearest to r in f, 4, -5\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 4*y - 1. Let g be m(-3). Suppose g*q + 0*s = s + 217, -3*q + s = -323. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:59 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 835 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 64 = -6*q. Calculate the highest common factor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*s - 260*s**5 - 5*s**2 + 99*s**5 + 302*s + 5*s**2 - 2*s**4 wrt s.\nAnswer: -3220*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -21. Suppose -4*k = k - x*c - 28, -3*c + 22 = 5*k. Let u(q) = -3*q + k + 2*q + 2*q. Calculate u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 234427*b**2 - 234429*b**2 + 13*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 432637585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (3 + (sqrt(126)\/sqrt(3))\/sqrt(6))**2)*-4.\nAnswer: 120*sqrt(7) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -506 - 558. Let o = -242 - d. Solve m - 16 = -3*l, -3*m - l = 2*l - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 10*t**2 + 2*t + 8. Let u = 141 - 134. What is the tens digit of r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935 + 13123 = 217*p + 3208 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1392 = 726*d - 732*d. What is the first derivative of -d + 14*m - 169*m + 137 + 145 wrt m?\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*n - 14 = n - 6*n + 4*g, 107*n + 4*g + 329 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*f + 4, -4*f + 1 = 3*d - 9. Suppose f*r - 11 = 9. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5387918 and 278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 4*u - u - 8*u**2 - 2*u as l*u**2 + d + q*u and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 17. Let k be z + -1 + 2 - (-9 + 12). Let c = 64 - k. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 32*u + 1. Is o(-7) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*t - 21 = 0, -2340*r + 4*t = -2345*r - 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12635 and 819.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 45*z + 589. Determine x(-11).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*n + 274, -3*n - 546 + 705 = 3*h. Suppose 0*o + 8 = 4*o. Suppose 0 = o*r - h - 112. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.6 + -6. Let m = p - 0.1. Let w = -0.6 - m. Sort 0.1, w, 4 in descending order.\nAnswer: 4, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-325)\/32 - (-10)\/40) + (-740)\/(-74)\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 18. Let n be x(6). Suppose g - 3*v - 8 - 4 = n, 0 = -5*g - 5*v + 20. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 + 4 + -8 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let x be (-6)\/6*(1 - 2). Let u(r) = -x + r**2 - 7*r**2 + 1. Determine u(m(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-231)\/(-14)*(-4)\/(-3). Suppose u = h + 5. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3*s**5\/20 + s**4\/4 + s**3 - 9*s. Factor a(h).\nAnswer: -3*h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 - (2 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 25?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 35*j - 263. Give s(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 20. Let l(k) = -k + 0 - 3 - 5*k - 4 + 5*k. Determine 7*l(y) - 2*s(y).\nAnswer: y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2817 and 132712?\nAnswer: 1194408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8505548 kilometers to centimeters.\nAnswer: 85055.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 17 - 23 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19*r**2 - 1263*r + 1974. Calculate q(-68).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuiyyliibnuiybbbi. Give prob of sequence lbi.\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*k - i - 64, 77*k + 668 = 39*k + 96*i - 92*i for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:28 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c**2 + 45*c - 3*c**3 + 3*c**3 + c**3.\nAnswer: c**3 - 43*c**2 + 45*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 233\/3. Suppose -5 = 3*i + 4*p, 2*p + 6 = 4*i + p. Let o be (-4)\/10 - 8\/5. What is the nearest to i in u, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727082 divided by -5?\nAnswer: -1727082\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1275 and -163\/39929550.\nAnswer: 678802350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 93\/(-5)) + -23. Which is the nearest to 4.8? (a) 1 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1132645 - 3?\nAnswer: -1132650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11937373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 10. Let l be (u - (-4)\/(-1)) + 2. Is 19 a factor of 40\/(l*(-2)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(-2\/3)*p)\/p*p))**(2\/79)\/(p**(1\/11)*p**(-1\/2)\/p) assuming p is positive.\nAnswer: p**(7435\/5214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.018, -4, 2\/339, -2, 5, -1, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 5. Suppose 0 = -3*b - l + 7. Suppose -3*y = -3*s + 15, -y + s - 13 = b*s. Is y at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 8*c + 5. Calculate b(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3040 and 80?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 3. Let r(o) = o + 1. Let s(q) = 2*p(q) - 6*r(q). Let b(t) = t. Determine 12*b(d) - s(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52787 is divided by 459.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545 divided by 309?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-957)\/(-87))\/(1\/(-1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + sqrt(13)*1 + 0))**2.\nAnswer: 250*sqrt(13) + 950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -21 - 6*o + 3*o**2 - 4*o**2 + 17. Let b be s(-2). Put 1, -5, 0.4, b in ascending order.\nAnswer: -5, 0.4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohho when four letters picked without replacement from hohqhqhqoheoeqeheo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4852*u**4 + u**2 + 2*u + 277 wrt u?\nAnswer: 116448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.410061 + 1922.6\nAnswer: 1922.189939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + x + 18. Let m be i(-4). Let l = m - 77. What is the nearest to -83 in 0, l, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/13)*i)\/i)**(-2\/93)*(i**(-25)*i)\/(i*i**(-9)\/i*i) assuming i is positive.\nAnswer: i**(-19342\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 5}. What is prob of picking 1 v and 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -8*n**4\/11 + 13074*n**3\/11 - 197980*n**2\/11 + 748086*n\/11 - 174852\/11 = 0.\nAnswer: 1\/4, 6, 9, 1619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from {l: 9, m: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(549\/(-378))\/61*28?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 0.1, 5, -169?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 2)*(2*l + 4 - 4) + 4*l + 2*l - 3*l)*(62*l - 13*l - 4*l).\nAnswer: 225*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2. Let b(f) be the first derivative of -26*f**3\/3 + 9. Calculate u(b(w)).\nAnswer: -2028*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/52 - 72\/(-936).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*n + 5*n, -5*o + 7*n = -6 + 71 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 349*q**5\/20 + 56*q**2 - 290*q. What is the first derivative of u(c) wrt c?\nAnswer: 1047*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9570279 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 6 + 1 + 0. Solve -3*t - 4*d - 19 = h, -3 = t - 0*d - 2*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(18\/5)*m\/(m\/m**(-1\/2))*(m**(-4))**(-2\/101) assuming m is positive.\nAnswer: m**(3211\/1010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440013.\nAnswer: 3, 7, 23, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -1\/2 (b) -11\/5 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((0 - 2) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9882 - -611?\nAnswer: -9271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25474)\/(-14905)*(-275)\/50.\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(441\/9)*42\/6*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, 3, 80, 2, -66 in decreasing order.\nAnswer: 80, 22, 3, 2, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13503 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 6*n**2 + 56*n + 18. Determine d(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 + -3 + (17 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -3\/4*r**3 + 7*r + 3\/2*r**4 + 0 - 21\/40*r**5 - 3\/2*r**2. Let m(k) = 0. Calculate k.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*x**2 - 296*x**2 + 949*x**2 + 477*x**2 + 804*x**2.\nAnswer: 1687*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 114051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:33 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -279 + 2?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 1. Let g = -10565 - -10548. Which is the closest to g? (a) i (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119\/4 in -0.1, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 522033 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: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ggigniigg.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2919 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-14) - 33\/21. Let b be -1 + -6*3\/f. Suppose -o - b = -41. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:17 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 824606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 2771363.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2125440 divided by -17712.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 342 - 340. Let g be 2*(7\/(-3) + 2). Which is the closest to w? (a) g (b) -1\/10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 2, n: 3, p: 3, r: 1}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 174973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, 1 o, and 1 s when four letters picked without replacement from {s: 2, f: 1, o: 1, w: 4, a: 3, q: 1}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 608810, 2435220, 5479230, 9740840, 15220050?\n\"Answer: 608800*j**2 + 10*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10030006 = 95*c + 3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 - -152. Are -21 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - (14 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975 = -5*o + 7650. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/20 + 5*m**4\/12 + m**3\/3 + 3*m**2 - m. Suppose -4*x + 229 = -171. Suppose -12*r = 8*r + x. What is b(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 253, -32, 110 in ascending order.\nAnswer: -32, -4, -1, 110, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 42, 65, 90, 117?\n\"Answer: y**2 + 18*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**3 + 31*f**3 - 15*f**3 - 25*f + 3 - 5 to p*f**2 + n + a*f + s*f**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 122 + 140 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 570250 divided by 285125\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, f: 7}. What is prob of sequence xf?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 0.049756.\nAnswer: -0.00547316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*s + 272 = 0, 2*m + 7*s - 273 = 4*s. Suppose -u = 3*w - 61, 3*u = 5*w - 2*u - m. What is the remainder when 64 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-1\/2)*w)\/w))**(-24)*(w*w**(-2\/7))\/w**(-6) assuming w is positive.\nAnswer: w**(-205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**11\/(r**(-5)*r)*(r\/(r\/(r**(-1\/2)\/r)))\/(r*r**(2\/9)\/r*r) assuming r is positive.\nAnswer: r**(221\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 275667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - v**3 + v**3)*(0 + 0 + 2*v**2) - 160494 + 29*v**5 + 11*v**4 + 160494.\nAnswer: 27*v**5 + 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5557 - 5259. Is l > 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*(-2)\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3195 and 17\/380900.\nAnswer: 243395100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 770396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -124\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 + 26 = 0. Let s(g) = -g**2 + 8*g + 10. Determine s(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 28. Suppose 4*q - 5*g - p = 76, 2*g = -q + 17. Suppose -3*n + q = -9. Solve 0 = -3*f + f + n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 8889*y**4\/8 - y**3\/3 - 4*y**2. Let k be r(6). What is k rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*g = -11, -30*t + 6 = -33*t - 3*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4749*s + 9124*s - 4788*s)*(0 - 2 - 2 + 1).\nAnswer: 1239*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 44*t - 254. Calculate w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1563*5\nAnswer: 7815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46411 is divided by 532?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*-2*24\/(-64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142128 = -158*q + 139126 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:24 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 2016?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18962 > 4432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 35*o - 40*o. Let p = o + -5. Suppose 10*s - 555 = -3*g + p*s, -g = 5*s - 175. Is g a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 20*h + i = -4*i - 36, -31*h = 4*i + 129 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:34 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 73375?\nAnswer: -73386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106609 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1769 + 5056. Let p(d) = d**3 - 47*d**2 - 42*d + 194. Let v be p(47). Let h = v + b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -25. Let w = -8 + f. What is the units digit of 16\/7 - 2\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 6*n. Let j be m(5). Suppose j*f - 935 = -0*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 319 = 344, -2*m = 5*u + 25. Let o**3 + 0*o + m*o**2 - 1\/2*o**4 + 0 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5525 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336963?\nAnswer: 3, 11, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 397*i - 394*i - 141 = 0, 51 = -3*m + 3*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**4 + 27*t**3 + 1843*t - 1843883?\nAnswer: 8*t**3 + 81*t**2 + 1843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiinnnii. Give prob of picking 3 i and 1 n.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 1\/4, -1\/3, -5\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684811 is divided by 526?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1746, 7042, 15896, 28320, 44326, 63926?\nAnswer: 87132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-66)\/(-4) + -15 - (-254)\/4?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-36)*28*9\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374697500 rounded to the nearest 100000?\nAnswer: 374700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60114, 124047, 187990, 251949, 315930, 379939, 443982?\nAnswer: 508065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, -0.4, 4, -3\/49, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120 is divided by 687?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3799 + -3799. Let o(r) be the second derivative of -10*r + 0*r**3 + 0 + 1\/120*r**6 - 1\/24*r**4 + 1\/8*r**2 + a*r**5. Solve o(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:44 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + 213. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16141640 and 29480?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:46 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 2*w - 4*q - 24, -4*w - 2*q + 38 = 0. What is the common denominator of 40\/7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 2*c = -10*z + 58, 2*z - 3*c = -39. Let n(l) = 2*l + 27. What is n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and -1 - ((-18)\/(-27) + (-154)\/6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*w - 18, -5*b - 5*w = -82 + 97 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (5 - 0) + -4 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 141903, 141915, 141927?\n\"Answer: 12*b + 141891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 11*l - 84. Give j(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6654420 (base 7) to base 10.\nAnswer: -820323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.90522 rounded to 1 dp?\nAnswer: 690.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*j**3 - 58*j + 57*j - 46*j**2 - 551*j**3.\nAnswer: -17*j**3 - 46*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16.24, -0.4, -1, 2\/3, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**3 - 22*g**3 - 271*g**3.\nAnswer: -242*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v - 22. Let a be h(-5). Suppose a*m - 351 = 3*s, m + 3*s + 2*s = 135. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-37)\/n)\/((n*(n**(2\/17)*n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-665\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20702176 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/11 + (-258)\/33. Let o(x) = x**3 + 7*x**2 + 4*x - 5. Let v be o(-4). Let z = a + v. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**5 + 2*i**3 - 3*i**2 - 5\/2*i + 0 + 3*i**4.\nAnswer: i*(i - 1)*(i + 1)**2*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354041744, 354041745, 354041746?\nAnswer: 354041747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338*b**2*g*w**2 - 6*b**2*w**2 + 254*b**2 + 2*g*w + 2*g - w**2 - w wrt w?\nAnswer: -676*b**2*g - 12*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*w**2 + 4)*(61 - 47 - 30).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpeeeepfefppee. What is prob of sequence fe?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhaa. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42a (base 14) to base 2.\nAnswer: -1100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-1)\/3*(0 + -3)). Suppose 0 = -8*w + k*w. Suppose -9 = -3*f - 3*p, 1 = -4*f + 4*p + 5. What is the fourth smallest value in f, 3, 3\/4, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51779 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s**3 - 19800*s**2 + 19800*s**2.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.133 and 5206566?\nAnswer: 5206565.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6*2\/3 - 1110\/108 and -125\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 88004.043 microseconds?\nAnswer: 0.0000010185653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, k: 3, e: 4}. Give prob of picking 3 e.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25916 is divided by 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5*(1 + -6). Let c be (-4)\/2 + (0 - 4\/2). What is the units digit of (10 + c)\/((-2)\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 2) + 18 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879754.7 decades to centuries.\nAnswer: 87975.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2532848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94 - 101?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -214 (base 6) to base 16\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -8. Solve k - m = w, 6*k - 3*k - 22 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(33) + sqrt(2673)) - sqrt(33)) + sqrt(33))\/sqrt(3) + -5*sqrt(396)*-2.\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {q: 8, o: 2, p: 3, x: 1, h: 1, w: 5}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2485060, -4970145, -7455228, -9940309?\n\"Answer: m**2 - 2485088*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b - 5. Let y(d) = -3*d - 4. Let f(t) = 4*g(t) - 5*y(t). Let q(o) = 5*o. Determine q(f(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**5)\/v)\/(v*v**(-8)))**(-41) assuming v is positive.\nAnswer: v**(-492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147651?\nAnswer: 3, 7, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y + 7. Let n(x) = 3*x - 22. Let k be n(12). Suppose 0 = 6*v - v. Suppose v*r + 10 = -r - 2*g, 4*r - 5*g + k = 0. Give i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 + 2318*h**2 - 18576*h + 111520\/3.\nAnswer: 2*(h - 4)**2*(h + 3485)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 69.98. Let f = -0.012 - t. Let o = 4.008 - f. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.2 * 10\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(144) - sqrt(68)\/sqrt(4)*3.\nAnswer: -17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124196 and 12216?\nAnswer: 745176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 - 130. What is the highest common divisor of m and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 621*m**2 + m**5 - 621*m**2 - 3*m**4 - 7*m**3 + (4*m + m**4 - 4*m)*(-5 + 5 + 2*m) + (4 + 2*m - 4)*(-m**4 + 5 - 5) + 2*m**5 - 3*m + 3*m.\nAnswer: 3*m**5 - 3*m**4 - 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15. Let n = -2 + m. Suppose 0*k = 3*k. Which is the nearest to k? (a) -4 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -106, -1, -4\/5, -97, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2085229320.\nAnswer: 2, 3, 5, 1889, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/360 + g**5\/60 - g**4\/24 + g**3\/6 + 2*g**2. Let b(t) be the first derivative of y(t). Find j such that b(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1111998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -88324 times -2399?\nAnswer: 211889276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*h = -275. Suppose 0 = -2*z + 4, -3*p = -0*z - z - h. Let g = 44 - p. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -21322?\nAnswer: 21323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:07 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*m + 70*m + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 83*y + 1927. Is 9 a factor of a(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3.4. What is the closest to -0.1 in a, 5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 40*g**3 - 75*g**2 - 20*g + 100.\nAnswer: -5*(g - 5)*(g - 2)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 + 64*c**3 + 39*c**2 - 1476*c + 2268 = 0. Calculate c.\nAnswer: -63, -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*h**2*i**3 - 13*d*h - 20*d*i**3 + d + 3*h*i**3 + 1 with respect to h.\nAnswer: 2*d*h*i**3 - 13*d + 3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 - (-4 + (-6)\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*c - y, -6*y + 12 = 3*c - 3*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 10224 (b) 2 (c) -1\/8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 211987 + -908?\nAnswer: 211079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 + 4*o + 7*o**2 - 6*o**2 - 2*o - o. Let p be m(-2). Suppose -p*b = -b + 3*s - 197, b = -3*s + 47. Calculate the highest common factor of 75 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425158 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 22*w - 5128 = -5394 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 - 1624*z**4 + 73968*z**3 + 100590760*z**2 + 11171842900*z + 119737542000 = 0. Calculate z.\nAnswer: -215, -12, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:07 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 34. Let q be u(-18). Let l be q*(-15)\/10 + 5. Solve -4*g = -l*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/175 and -99\/250.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 6777988?\nAnswer: 13555976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/9 + 755500*j + 642127781250 = 0. Calculate j.\nAnswer: -1699875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**3 + 2*h - 3. Let l(w) = -5*w**3 + w - 2. Let j(d) = 3*l(d) - 2*t(d). Let o be j(-1). Solve 2*f = 0, -5*p + 0*p + o*f = -5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 14535.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 708 or 709?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 46*u**2 + 1414*u - 116. Calculate w(21).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635424961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3997 is divided by 559.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 + c**2 + 4*c + 11. Let u(q) = 2*q**3 + q**2 + 3*q + 11. Determine -3*k(h) + 4*u(h).\nAnswer: -h**3 + h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 34. Solve 3*n + 0 + 2 = 2*j, a*n + 10 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*y + 3*i, 17 + 7 = 3*y + 3*i. Let t be 2\/(-6) + 1\/y. What is the second derivative of 3*a**3 + 6*a + t*a**3 - 3*a wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3 - -12228) + -2. Let g = p - 171233\/14. Find the common denominator of 59\/18 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 + -162. Solve 0 = -4*d + j + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let a(q) be the first derivative of 0*q**2 - 16\/3*q**3 + 0*q + 4. Give a(m(w)).\nAnswer: -64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -24 - -2*1\/(-2). Let t(q) = -q**2 + 20*q + 41. Let h be t(o). Suppose 24*s = 25*s - h. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2229796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255525 is divided by 401?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3107028969?\nAnswer: 3, 11, 389, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, u: 3, t: 1, k: 4, o: 2, d: 4}. What is prob of picking 1 t, 1 o, 1 u, and 1 k?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y + n, 4*y - 24 = 4*n - 2*n. Let b be (-1)\/y - 45\/(-20). Suppose -4*i - 426 = -3*m - i, -2*i - b = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164522045.\nAnswer: 5, 19, 911, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.41072 less than 34?\nAnswer: -404.41072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4371 + -59.7.\nAnswer: -4430.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 28. Let z be (-1 + o + 2)\/(3 - 2). Solve -20 = -z*c - 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 107078.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022 (base 4) in base 3?\nAnswer: -21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -8. Let s(h) = -8*h**2 + 3*h - 3. Let p(f) = f - 1. Let d(r) = a*s(r) - 3*p(r). Is 21 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 4. Let b be s(2). Suppose -b*x - 7 = 53. Let a be ((-36)\/x)\/(18\/60). Solve 2*r + 1 = 5*j + 17, -2*r + a = -4*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 16*m - 9. Let r = -22 - -31. What is the remainder when r is divided by w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 13*f**2 + 13*f + 15. Let k be p(-12). Let q be 10 + -5 + (2*-3)\/(-2). Let t = -6 - -11. Solve -k*x = -q*x + t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 14 = -g, 0 = -4*g - 3*z + 84 - 86 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11044297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3094 and 46227454.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525956 to the power of 1\/2, to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, u: 1, n: 9, j: 1, r: 1}. What is prob of sequence wu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -444*m + 89. What is the hundreds digit of y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882366182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(38\/380)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01888 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*t + 161*t - 61*t to the form u + s*t and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 15) to base 2\nAnswer: 1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 605556 and 2245292?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*t + 85 = -6, -3*t + 34 = i. Suppose -5*s + 56 = -324. Calculate the highest common divisor of s and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -22*h**3 - 6*h**2 + h. Let r be v(4). What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59430 and 420?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 85, 19, 5, -1.\nAnswer: -135, -1, 5, 19, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(12)\/sqrt(6) - (-1 + sqrt(2)*-2)) + 0)**2 + -1 + sqrt(2) + 1 + sqrt(2) + sqrt(2) + 4 + sqrt(2) + (-1*sqrt(384))\/sqrt(3).\nAnswer: 10*sqrt(2) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 20*u**2\/3 + 256*u\/3 - 192.\nAnswer: -2*(u - 4)**2*(u + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.098 - -0.21. What is m rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let k be m(-5). Suppose k*o = 9*o. Sort 2, o, 4 in descending order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*o + 5642 + 10583. What is the greatest common divisor of 385 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39456057 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 5*y - 5)*(-12*y + y + 79*y).\nAnswer: 340*y**2 - 68*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3314*y + 480544. Determine r(-145).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*c = 725*c + 8 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26820 is divided by 2681?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103354 - 1099497 = -203*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*2\/120)\/(15*(-8)\/(-1440)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 6*d - 2. Let w(i) = -i**2. Let b be 45\/21 - 2 - (116\/28 - 5). Determine b*a(g) + 3*w(g).\nAnswer: -g**2 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 13 + 46 = t, 2*g - t = 21. Solve 1 - g = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/((-40)\/4)*-1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/9 - 1\/(-3). Let v be (0*3\/j)\/2. What is the first derivative of 2 - k - 3 + v*k wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 145?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328394221.\nAnswer: 7, 11, 521, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190188?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766401 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 2*m**2 - m + 2. Let l be h(2). Let z be 1*4*(-12 - -9). Let u be 8\/z + (-4)\/3. Which is the third biggest value? (a) l (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*z + 31 - 23 = 0, s - z - 4 = 0. Calculate the common denominator of -52\/47 and ((-6)\/s)\/(561\/(-119))*-12.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 752, 630, 380, -34, -648?\n\"Answer: -6*m**3 - 28*m**2 + 4*m + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134318 is divided by 15849.\nAnswer: 7526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45762, 91525, 137288, 183051, 228814, 274577?\n\"Answer: 45763*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 48*m + 49. Let d be n(23). Suppose 3*t - 3*a - 530 = -8*a, 4*a = -d*t + 526. What are the prime factors of t?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 17. What is l(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, w: 11, x: 4}. Give prob of picking 1 k and 2 x.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -655*l**2 - 2 - 4 + 660*l**2 to m + d*l + k*l**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:55 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 13*h**2 + 10*h**2 + 67.\nAnswer: -3*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 63 = -72*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 1385918700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779296134?\nAnswer: 2, 3, 19, 6835931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.6 - -54. Let c = -0.2 - 0. Put 1, c, s in descending order.\nAnswer: 1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/2489 + -102027\/27379. Calculate the common denominator of 58\/51 and o.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732333 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:25 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.7 - 4. Round t to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:12 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 12*a - 3. Let l be u(8). Let s(c) be the second derivative of -6*c**3 - 3*c + 21*c**2 + 6*c**3 - l*c**2 + c**4. Differentiate s(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267 + -4276 - (0 + 0 + 37)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {r: 5, n: 13, q: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwjjww. What is prob of sequence wjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*j = 8*j + 35, -5*b + 2*j + 35 = 0. Let c = 27 - b. Let m(a) = -a**3 + 4*a**2 + 7*a + 2. Calculate the smallest common multiple of c and m(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1486 + 20279. What are the prime factors of g?\nAnswer: 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*s - 88 = -0*p, p = -4*s - 53. Let x = 123 + p. Let z be (x\/39 - (-10)\/30) + -3. Is z at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -10203.\nAnswer: -7142.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158146?\nAnswer: 2, 107, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (332\/6)\/(20\/750)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1\/9 (c) 2 (d) 3\/11 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108508.\nAnswer: 2, 13, 59779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, l: 4, z: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48.67 + 50.67. Let a = 0.3 + -0.1. What is the nearest to -1\/3 in f, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 3*k**2 - 6*k + 22. What is the remainder when j(8) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14080526\/17 smaller than 828267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.95 - 6. Let p = c - 0.25. Let d = 0 + -0.1. What is the nearest to 0 in d, p, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155\/4 - -39. Let u be 2\/(1*22\/6*1). Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**4 + 6936*o**3 - 981459*o**2 + 23369556*o - 153955452 = 0.\nAnswer: -2447, 14, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 22*f**2 + 8*f + 9. Let h be v(-2). Let q = -109 + 61. Let l = q + h. What is the remainder when 96 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 58, -4, -2, -1 in ascending order.\nAnswer: -5, -4, -2, -1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v - 7 = -i, -5*i = -25. Is 105\/(-63) - (12593\/(-3) - v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 13*y**6\/60 + 7*y**5\/60 + 2*y**3\/3 - 75*y**2. What is the third derivative of s(t) wrt t?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 335 - 21. Suppose 4*b - 111 - h = 0. Calculate the greatest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 - (12 - 2)*(-168)\/(-160). Solve 1\/2*l**3 + 7*l - 4 - b*l**2 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*185*252\/6216.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 2, g: 3, i: 8, c: 3}. Give prob of picking 2 g, 1 e, and 1 z.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 4*y**2 - 2*y**2 + 28*y**3 + 57*y**3.\nAnswer: 85*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2360 and -3704 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b + 437 - 2362. Suppose 0 = -4*p + b + 473. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2067 and 320193\/155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*w = -16, v = -2*w + 2 - 10. Suppose -4*g + 100 = -v*g. Let p(j) = 4*j + 1. What is the remainder when g is divided by p(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001000010100001001 (base 2) to base 6.\nAnswer: 44453453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789538095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + 21 + 6*u - 4*u + 13 + 0 to c*u + i and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/((-15)\/(-4)))\/((-132)\/(-330)). Let c be (12000\/(-1250))\/((-3)\/(-20)*b). Factor c + 1\/2*o**2 - 8*o.\nAnswer: (o - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/(-24) - 6\/8. Suppose z + 25 = b, 3*b + j*b = 4*z + 105. Is 8 a factor of z\/(-3)*(-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.40001 plus 0.34?\nAnswer: 34.74001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**3 - 30*k**2 + k + 81. Let r(q) = -q**3 - 4*q**2 + 11. Let c(a) = 2*g(a) - 15*r(a). Give c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -22*g**4 - 14896*g**3 - 31054*g**2 - 2700*g = 0.\nAnswer: -675, -2, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401621170 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -47. What is the second smallest value in -1\/6, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*c - 3 = 9*c, -2*g + 5*c = 9. Suppose 0*w + 5*w = 75. Solve 0*v = 3*z - 5*v - w, 0 = g*z + 5*v + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18669, 36223, 53781, 71343, 88909, 106479, 124053?\nAnswer: 141631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 4*b**2 + 4*b + 7. Let c be -5 + (-1 - -7)*(-1)\/(-6). Give t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4945.53405 - -4945. Let f = m - -0.2034. Let s = -0.33 - f. Round s to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 3*r)*((-r - r + 8*r)*(1 - 2 + 2) + 0 + 0 - 2*r + 8 - 16*r - 8).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 15*t - 22. What is the least common multiple of 66 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20764 by 716.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752 and 42206?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 373 + 6?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*t + 3326*t - 1258*t.\nAnswer: 1233*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 713623423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.01, -2\/7, 2, -25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 - 5*b - 9. Let i be q(7). Suppose 25 = -5*n + 5*r, -5*r = -3 - 7. Let w = -3 - n. Solve w = m - 0*m + i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 3*n = -65, m - 13 = 5*n. What is the remainder when 808 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3*n - 2*l**3 - 52417*l**2*n - 15*l**2 + 4686*l*n + 156*l wrt l?\nAnswer: 18*l*n - 12*l - 104834*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five eighths of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13420 - -992. What are the prime factors of p?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158875 and 114235?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -762*q + 758*q - 28. Let m(s) = -s**3 - 8*s**2 - 5*s + 4. Give m(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**7\/5040 - 2*u**5\/15 + u**2. Let l(k) be the third derivative of y(k). Let f(a) = 6*a. Give l(f(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*q**3 + 21 + q**2 + 55*q**3 + 55*q**3 - 158*q**3 in the form l*q + n*q**3 + t*q**2 + r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(1075\/175)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 11 = 3*v. Let t = 19 + v. What is the remainder when 561\/21 - (-32)\/112 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4127018 - -7463983. Let h = o - 3336965.04900054. Let i = h + 0.049. What is i rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138701 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxyyxxyxxxyy.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782.163 decades in millennia?\nAnswer: 17.82163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 9*d**3\/4 + 18*d**2 - d - 8 = 0?\nAnswer: -8, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and ((-2)\/2)\/((-4)\/152) - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -3, 1, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18143 - 6?\nAnswer: -18149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 2398*h**2\/3 - 38176*h\/3 + 50816.\nAnswer: -(h - 2382)*(h - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -70*z**3 + 6990*z**2 + 981*z + 1893. Determine n(100).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320441 is divided by 31641.\nAnswer: 4031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 10*r + 3. Let t be i(-10). Let c(p) = 2 - 4 - p**3 + 0*p**2 + t*p**2 - 2*p. Calculate c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118898.8ml to litres.\nAnswer: 118.8988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340 = -4*w - 4*g + 8348, -5*w + 8784 = -g. List the prime factors of w.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 1)*(-7*y**3 - 12*y**3 + 7*y**3) + 4*y**3 + 22 - 22.\nAnswer: -56*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/140)\/((-6)\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3*b + 28 + 23 - 90, -24*y + 37 = -23*y - 4*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 9. Let r be p(-6). Suppose -3*c + 3*q + 27 = r, -34 = -4*c - q. Let f be 6\/17 + 198\/306. Solve -f = k - t, 0*t - 4*t + c = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j + v = -57, -3*v + 9 = 0. Let u be ((-15)\/9)\/5*j*-3. Solve -u = n - 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0079053361 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 196*c + 1842. Calculate the remainder when k(-6) is divided by 663.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2954, 2956, 2952, 2942?\n\"Answer: -3*b**2 + 11*b + 2946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, v: 1, m: 1, n: 1, k: 1, q: 2}. What is prob of picking 1 v, 1 m, 1 j, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 201780\/263 <= 767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/14526 and 25\/36.\nAnswer: 29052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 = 26*y - 558 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 614*j\/7 - 88.\nAnswer: 2*(j - 1)*(j + 308)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71728?\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12197*x**5 - x - 3819.\nAnswer: -243940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1198485 or -1198486?\nAnswer: -1198485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:44 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32098 - -9?\nAnswer: 32107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5680 and 5770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d + 3. Suppose 3*f + b + 6 = 2*f, 4*b + 8 = 0. Let j(p) = p**2 - 2*p + 3. Let u(n) = f*y(n) + 5*j(n). Calculate u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:52 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 31 = 5*w. Let r be ((33\/(-18))\/w)\/(-1). Suppose 15 = -3*i - 4*q + 7*q, -4*i + 2*q = 16. Which is the nearest to 1? (a) r (b) i (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 7 + 16*w + 19 - 10. Let m be c(16). Suppose 3*o + m - 17 = 0. Solve 2*v + o = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1487, 3685, 6593, 10211, 14539, 19577?\n\"Answer: 355*c**2 + 1133*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 5*c**2 + 0*c**2 + 920231 - 920231.\nAnswer: -5*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(74\/(-40) - -2). Let v = z - 35. Let c(m) = -16*m - 4*m**2 + 8*m + 5*m**2 - v + 2. Determine c(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -18. Solve -3*s - 4*o - 10 = 0, -3*s + y*s + 2 = o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*k + 256*g**3 - 22*g**2*k*w**3 - 14206*g*k*w**3 + g*w**2 wrt g?\nAnswer: 6*g*k + 1536*g - 44*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, 3, -25, -1, -0.3, 0.02?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**2\/2 - 3*l - 5. What is the remainder when 6 is divided by p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/16656 and -49\/13701.\nAnswer: 76067952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -739, -788, -837, -886, -935, -984?\n\"Answer: -49*k - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 39. Let k = -5.97 - -6. Sort o, k, 0.2 in increasing order.\nAnswer: o, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*i + 30 = 0, 2*l - 10 = -4*i + 2. Let j be (-16)\/6*18\/(-8). What is the third derivative of -o**l + 0*o**2 - 3*o**2 + 0*o**j wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3780341 take away 1?\nAnswer: -3780342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w = -216*w - 195*w - 5715 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2 (c) 0.1 (d) 108 (e) -5\/7 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900*i**2 - 743*i**2 + 1642*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 223337412.1 to the nearest 1000000.\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2160 - 2122. Let b be 0\/(-1) + 189 + 1. What is the highest common divisor of b and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11 (b) -1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**4 - 11*w - 78 wrt w.\nAnswer: 16*w**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 3. Let v be j(-2). Let h(k) = -6*k**2 + k + 1. Let n be h(-1). Is 44 - v*n\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/20 - t**4\/3 + t**3\/2 - t**2 + 8*t. Let w be j(4). What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 5*u**3 + 15*u**3 - 7*u**3 - 16 wrt u.\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)\/n**7)\/(n**6\/n*n**(-7\/4)))\/(n\/n**(2\/19)*n*n\/(n*n**(-2\/5))*n*n\/((n\/n**(5\/3))\/n)*n**(-4\/7)*n) assuming n is positive.\nAnswer: n**(-188647\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + s - 26 + 98, 2*x = 2*s + 48. Suppose -3 = -h + 2. What is the second derivative of -60*o + 18*o + 19*o + x*o**h wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2291*b**3 - 2904.\nAnswer: 6873*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*d - 855, 2*d = m - 2*d + 191. Let j be m\/15 - (-2)\/3. Let t(r) = r + 30. What is the remainder when t(j) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*t - 23 = 0, u - 130*t = -134*t - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1502?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 18*c + 1. Let l be f(-18). Suppose -u = -l + 10. Let h = u - -13. Calculate the smallest common multiple of 11 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 64. Determine k(-36).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 232 - 235. Let z = s - -3.00000004. What is z rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:51 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 31*k - 20 = 0. Which is the nearest to -0.1? (a) -5 (b) 9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 26*q. Let o(k) = 11*k**2 - 29*k + 9. Let x(i) = 48*i**2 - 117*i + 39. Let d(f) = -26*o(f) + 6*x(f). Determine d(n(r)).\nAnswer: 1352*r**2 + 1352*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33985165?\nAnswer: 5, 6797033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8257 is divided by 233.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -88. Let n = t - -79. What is the highest common factor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510709 is divided by 302065.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 + 3. What is z rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4938 + 7909*u - 4938.\nAnswer: 7909*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(1\/2*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1508928*b**4*c**3 + b**2*c**3 - b**2*c - c**3 + 42855*c**2 - 7*c wrt b.\nAnswer: -36214272*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 1952*k**2\/9 - 1958*k\/3.\nAnswer: 2*k*(k - 979)*(k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560626411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163181352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -1*sqrt(187))\/sqrt(11) - (4 + sqrt(17)*-1).\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 3*c - 2. Suppose 0 = -q + 83*p - 78*p - 23, -4*q + 8 = 5*p. Let u(d) = 7*d**2 + 5*d - 4. Give q*u(r) + 5*k(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 + 2)) + 5 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 p when four letters picked without replacement from {s: 4, j: 3, p: 11}?\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.98 - -0.02. Let g(f) = f**2 - 43*f + 215. Let u be g(37). Let l be 5 - (12 - (-14)\/u). Which is the smallest value? (a) l (b) 0 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/(-36)*(-6)\/(-4). Let o be (-5)\/t*70\/25. Is o less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 14187472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2106 + -1899. Calculate the greatest common divisor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 34*z**2 + z + 20. Let a be f(-17). Let h = -23 + 43. Let n = a + h. Calculate the remainder when n is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-14) + (-65)\/(-35). Suppose 0 = -4*h - 4, -h + 3 = m*c + 4*h. Solve 3*b - 3*o = -2*b - 10, 0 = -4*b + c*o - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from {b: 13, f: 3, n: 1, s: 2}?\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1408)\/(-6)*1206\/268. Calculate the greatest common factor of 1716 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from lwll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 2\/7, 5, 304?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o + 35 + 262 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1814874, 1814867, 1814856, 1814841, 1814822, 1814799, 1814772?\n\"Answer: -2*z**2 - z + 1814877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let n(v) = -5*v - 44. Let s be n(-10). Let k(l) = 2*l - 8. Let f(c) = 3*c - 7. Let d(p) = s*f(p) - 5*k(p). Determine d(r(y)).\nAnswer: -16*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -37 - -13) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a98 (base 13) to base 4.\nAnswer: -1201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/18834 and -25\/1716?\nAnswer: 5386524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 25. Suppose -2 = b + 2*v, p*b - 6*v = -3*v + 16. Suppose 262 = 5*x - d, -x + 2*d = b*x - 153. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + sqrt(10)\/sqrt(2)*6 - (2*2*sqrt(245))**2.\nAnswer: -3924 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35678, 42, 0.1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20059481 divided by 2?\nAnswer: -20059481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4506.14800136 - 4505.776. Let y = v - 0.372. Round y to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 53*g + 43. List the prime factors of h(8).\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.98167545 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -3*o**4\/4 - 43*o**3\/6 + 48*o. Find the second derivative of d(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3, 2\/6934101, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 2*i - r - 707, -1028 = -3*i - r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 6*n - 2*n - 16, 29 = 2*v - n. Let z be -1936*((-2258)\/v + (-4)\/(-6)). What is z rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 8*z + 8*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/((-2)\/9). Suppose 0 = -2*a + 3 + 3. Suppose -5*w = 2*p + 2*p - 38, -a*w + 28 = 5*p. Calculate the greatest common factor of n and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2079.1510119 and -1?\nAnswer: 2078.1510119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.2 - -0.2. Let y = d - -12.7. Let l = -2 + 5. What is the smallest value in 1\/4, l, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) + 10895\/20. Let y be (m\/(-60))\/(6\/(-20)). Let w = 30 - y. Which is the nearest to -2\/11? (a) w (b) -3\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -16, -70, -160, -292, -472, -706?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 + 28311*n**4 + 2883573*n**3 - 5908731*n**2 - 2883576*n + 5880420 = 0.\nAnswer: -9334, -105, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) 0.1 (c) -1\/4 (d) 2 (e) 26\/15 (f) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*s. Solve 0 = -3*c - s - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16037, -32073, -48109, -64145, -80181, -96217?\n\"Answer: -16036*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -105*m - 40. Let a(u) = 37*u + 14. Let k(z) = -17*a(z) - 6*r(z). Suppose -3*i - 5 = 5*c, -4 = -4*i - 2*c - 6. Calculate k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50436359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/14*700\/30. Let b = -100 + o. Factor -2\/9*d**3 + 2\/3*d**2 + b*d - 8\/9.\nAnswer: -2*(d - 2)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -r + 3, 4*r - 686 = -690 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 167 = 1078. Solve 21*r - 78 + q = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i*t*x + 2*i*x + 2*t*x**3 - 1292*t + 14227*x**3 wrt t.\nAnswer: 7*i*x + 2*x**3 - 1292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - 0 - 2) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = 5*y, 4*k - 4*y - 26 + 2 = 0. Suppose k*u = -3 + 15. Suppose 0 = -2*c - n + 891, 0*n - u*n = 5*c - 2226. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1363*a - 5098 = 3080 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-7) + (-9)\/((-315)\/2960). Let c = 244 - k. List the prime factors of c.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + x - 5*x + 28.\nAnswer: -4*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 1, 266939 in descending order.\nAnswer: 266939, 12, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672\/60 + 4\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -38 - 50. Let n = o + 33. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677023501 to the power of 1\/3, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 8:29 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 38\/14)\/(21\/49). Which is the closest to 0.2? (a) v (b) 13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 2 - (-6 + 8).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {s: 2, h: 1, t: 1, i: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 1 - 2*-6. Let a = p - 7. What is the lowest common multiple of a and 1*(5 - 1\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3 - 1) + 11 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3591 and 17766.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 1 z when three letters picked without replacement from {t: 1, z: 1, x: 1, e: 8, r: 1, u: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 2 = 4*r - 28*g, r + g = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 + 287*w + 349*w - 596*w + (0 + 0 + 2*w)*(4 - 4 + 1) - w + 4*w - w to f*w + u and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -2651\nAnswer: 26.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1312124 + 3?\nAnswer: -1312121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05157 or -1\/7?\nAnswer: -0.05157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.3 times 2.024407\nAnswer: 12.7537641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429\/(-33) - 9626\/(-2) is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 7 (c) 0 (d) 1\/7 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7121 - 7055. Calculate the greatest common divisor of 582 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 444065, 444111, 444157, 444203?\n\"Answer: 46*o + 444019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -51441*s**3 - 2*s**2 - s + 3. Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -3*s + 456. Suppose 5*f - s = -0*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 4389*f + 95106.\nAnswer: 3*(f + 22)*(f + 1441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1278770455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.055 - -11. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22264655 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2. Let u be v(0). Let r = 99.21 - 97. Let w = r + -0.21. What is the nearest to u in -5, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 22746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 3 - 3*a**3 - 4 + 2*a. Let m(s) be the first derivative of s**4\/4 + s + 1. Determine -2*m(d) - 2*p(d).\nAnswer: 4*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**4*a*a**0*a**(-5)\/(a*a\/(a\/(a**(2\/5)\/a*a))*a*a*a))**(3\/5) assuming a is positive.\nAnswer: a**(-171\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 90 + (45 - 17) + -14 + (-23 - 2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 24*x - 146. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4665, 1, 16 in decreasing order.\nAnswer: 4665, 16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/348364 and -27\/119.\nAnswer: 2438548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.15, -21, 4\/7, 1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10483985.\nAnswer: 5, 17, 123341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 1 + 7078*q - 7975*q as r + w*q and give w.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 1874 + 95463 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -52, -118, -212, -334?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + 9) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56.587935+-465\nAnswer: -408.412065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/6 - 1\/6. Suppose 2*y = 5*y + 9, -y = -j. Let a = 8 - 3. Sort r, a, j in ascending order.\nAnswer: j, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 1, 0 in ascending order.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 6138.\nAnswer: 6137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62856249 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*u = 4*u + 1795, -h - 4*u + 335 = 0. Suppose 0 = -w + 2*v - 3*v + 90, -4*w + h = 5*v. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.22 in 0.2, 0.3, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*25.3087.\nAnswer: 80.98784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-260)\/(-28) - 4\/14. Suppose 4*d + 2*b - 26 = 0, d - 5*d = -5*b + k. Suppose 5*p = d*p + 2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200910 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 26 = -6*s - 68, -5*s = 3*c + 51 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 2*d + 16, 0*d + 3*d - 19 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(-2\/13))))\/g**(-1\/19) assuming g is positive.\nAnswer: g**(298\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 107 = 4*c. Suppose 52 = -6*m - c. Is -12 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeggzegzezgg. Give prob of picking 2 z and 1 g.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 94 + 2*f - 185)*((-4 + 1 + 1)*(4 - 6 + 0) + 1 - 2 - 1).\nAnswer: 4*f - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 26 = -0*v - 4*v, -1742*v + 1745*v - 6*x - 30 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*1*54\/(-24). Let c(z) be the first derivative of 4*z**2 + 7*z + 65 + 1\/3*z**3. Calculate c(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(14\/6) - -11. Suppose b = -m - 1. Which is greater: m or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2098, -8177, -18278, -32401?\n\"Answer: -2011*p**2 - 46*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1336 and -0.081?\nAnswer: 1336.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**3 + 5*t**3 - t**3)*(-1 - 2 + 2) + (-2 - 2*t**3 + 2)*(11 + 0 + 1) to d*t + m*t**3 + r + p*t**2 and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 74. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 + 443094*j\/5 - 1329417.\nAnswer: 3*(j - 15)*(j + 147713)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 77 = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/5 (b) -97 (c) -1.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4704, 4692, 4680?\n\"Answer: -12*s + 4716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 1 - 3*t - 4*t)*(0 + 2 + 6) + 185 - 185 - 66*t.\nAnswer: -82*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Let i(p) = -7*p**2 + 6*p**2 - 2*p**d. Let w(q) = 2*q**2. Determine i(w(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116\/165 - 2\/55. What is the nearest to i in 0, 0.3, 4\/5, -0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 17 = 1. Is ((-4)\/(-6))\/(c\/(-948)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 626 - -942. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.8*-0.1.\nAnswer: -2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0 - 6*k**2 + 0*k**3 + 0*k**5 + 0*k**4 - 20*k - 19\/30*k**6. What is the derivative of c(t) wrt t?\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976*o**2 + 7621*o**2 + 2931*o**2 + 136.\nAnswer: 9576*o**2 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 28*c - 163. Let v be k(33). Let r be -9 - (v + 1692\/(-117)). Does 3 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10160.09 + -10210. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*r = 12, -4*h = -2*r + 9 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -5 + 1 + -12 - -23\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 57, 5, -1, 12160 in decreasing order.\nAnswer: 12160, 57, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 111946*f - 111885*f + 223831*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 + 56*h**3 + h**2 + 706?\nAnswer: -48*h + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 3*h**2\/2 + 11*h - 576. Give d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:44 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -202, 4, -23, 14 in decreasing order.\nAnswer: 14, 4, 1, 0, -23, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 300 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 96, 71, 36, -9, -64?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 + 2*w - 15. Let q be f(0). Let o(m) = -m**2 - 15*m + 7. Let k be o(q). Suppose k = 5*x - 148. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/9*222\/4.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:48 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672474621?\nAnswer: 3623, 461627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x*y**6 + x*y**3 + 8*x*y**2 + 2*x + 2080*y**4 + 5*y**2 + 586 wrt y.\nAnswer: 360*x*y**3 + 6*x + 49920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-9) + -4*4\/24. Let o(w) = 7*w**2 - 3*w + 8. What is the remainder when o(x) is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from urffufuuyujurj?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2241, 0.3, -2, 0, -4, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/4))\/(l*l**(1\/8)*l)*(l**(1\/3))**(-33) assuming l is positive.\nAnswer: l**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 21*g - 959. Give s(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15308.\nAnswer: 2, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 46*d - 288. Let q(r) = 2*r**2 + 45*r + 288. Let n(y) = 6*a(y) + 4*q(y). Factor n(h).\nAnswer: -4*(h + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60512 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3265 is divided by 165?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -4. Suppose -4*c = -x - 18, 2*x + 21 = 7*c - j*c. Factor -y + 1\/2 + 1\/2*y**x.\nAnswer: (y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 + 5*y - 5. Let d be i(6). What is the closest to -1 in -5\/3, -0.3, d?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -2.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.07 - -0.07. Let g = w + 12.00018. What is g rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 64560.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32300?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872332?\nAnswer: 2, 218083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 3.255 (b) -5 (c) 3\/7 (d) 1\/113 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**15)**(-19)*((d**4*d*d)\/d*d)**(-31))**(-2\/11) assuming d is positive.\nAnswer: d**(942\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-60)*18)\/(15\/(-10)). Which is the second smallest value? (a) -2 (b) u (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:56 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -s + 21. Let y be s\/14 - (-110)\/35. Suppose 3*t - 75 = 3*q, -5*t + 48 = y*q - 45. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -338 and -223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 10. Let l be (83\/415)\/(2\/1490). Let k = 156 - l. Calculate v(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s + 4. Let u be t(6). Suppose -3*c - u*j = -77, 5*c - 3*c + 4*j = 58. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + (5*(sqrt(102) - 2*sqrt(102)) - sqrt(102)) + sqrt(102)))\/sqrt(6))**2 + 4 + -2 + sqrt(425).\nAnswer: 5*sqrt(17) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1315 + -1314.51. What is v rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21304099067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.4 + 35.4. Let h be 1\/36 - (-3)\/(-12). What is the closest to 2\/5 in l, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f. Let c be 1 + -1 + (-8 - (-2 + -5)). Let l(b) = -12*b**2 - b + 5. Let g(o) = c*l(o) - 5*w(o). List the prime factors of g(4).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 0.4, 42, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.639 and -2?\nAnswer: 5.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.97 - -0.03. Which is greater: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44852915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 772708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105.37 - 94.37. Let p = -3 - -2. Which is the biggest value? (a) i (b) 4 (c) p (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 37 = -215. Let p(i) = 2*i - 9. Calculate the remainder when 199 is divided by p(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1134*j**4 + 370*j**4 + 2*j + 3*j - 5*j)*(-3*j - 9*j - 2*j - j - 3 + 3 + 6*j - 4*j + 0*j - 4*j + j + 2*j + (0 - 4 + 3)*(1 + 2*j - 1) + 1 - 2*j - 1).\nAnswer: 13752*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 101053 (base 6) to base 5\nAnswer: 224100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:09 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22925 = 27*g - 22273. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -13, 5 in descending order.\nAnswer: 5, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4145 + 4162. Let p(u) = -u - 10. Let t(w) = 3*w + 40. Let z(d) = 9*p(d) + 2*t(d). Let v be z(-9). What is the greatest common divisor of m and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7428638 micrograms to milligrams.\nAnswer: 0.0007428638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/3 - 50*w**3\/3 - 48*w**2 - 142*w\/3 - 47\/3 = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.23, -89\/7, -9, 4, -2\/7 in increasing order.\nAnswer: -89\/7, -9, -2\/7, 2.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15180 and 575.\nAnswer: 75900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 74.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/7 + 15128*m**3\/7 - 286772*m**2\/7 + 467688*m\/7 + 769590\/7 = 0. What is m?\nAnswer: -1, 3, 17, 7545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 29*m**2 - 143*m - 2. Determine g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034539853 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44533011 (base 6) to base 9.\nAnswer: 2476507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-30)*1*-6*1.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*u = -51525, -40*u + 35*u - 85945 = -5*v. What is the highest common divisor of 284 and v?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296463.7ml to litres.\nAnswer: 296.4637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 15. Let d(v) = 2*v**2 - 4*v - 61. Let n be d(7). Give g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 3*x - 4. Suppose 5*h - d + 83 = -101, -4*h - 152 = 4*d. Let o = h + 45. Suppose -o = -5*v + 7. What is u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/2 + 51*z\/2 = 0.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/96 and 11\/3264?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**3 - 5*p**2 + 4*p + 1. Let r be f(2). Let u = 37 - r. Solve 4*o - 5 - 11 = u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 20055 = 5*f + 20074, 4*f = -2*s - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7823.05062 rounded to the nearest integer?\nAnswer: -7823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -212. Which is smaller: 40 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/11))\/(p\/(p**13*p)) assuming p is positive.\nAnswer: p**(151\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20146 - 24.59\nAnswer: -20170.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 1070 + 60502 = -2*f. List the prime factors of f.\nAnswer: 2, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/12 + -1)*6. Let v(d) be the first derivative of 20*d**2 - 9. Let u(p) = 10*p. Let q(i) = c*v(i) - 15*u(i). Let y(m) = -2*m**2. Give y(q(l)).\nAnswer: -200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 14*q**4 + 2333*q**3 + 25196*q**2 - 10803*q - 16740 = 0?\nAnswer: -155, -12, -9\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -1489559.\nAnswer: -1489558.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -16*k**3\/7 - 9585844*k**2\/7 - 79082156*k\/7 - 19171424\/7 = 0.\nAnswer: -599107, -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -349786*g + 2448500. Calculate u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.09 + 23.12. Let l = 4.8 - 5. What is the biggest value in l, -2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -770\/719, -0.5, 0 in decreasing order.\nAnswer: 0, -0.5, -770\/719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1079020.\nAnswer: 4316080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 14\/25, 1\/9, -5, -11.\nAnswer: -142, -11, -5, 1\/9, 14\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 137868, 278600, 419342, 560100, 700880, 841688?\n\"Answer: h**3 - h**2 + 140728*h - 2860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:29 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100112022 + 2100?\nAnswer: 100121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/9*h**5 - 6*h**4 - 2\/3*h - 44\/9*h**2 - 76\/9*h**3 + 2\/9.\nAnswer: -2*(h + 1)**4*(7*h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -6, -39005, -2\/17 in increasing order.\nAnswer: -39005, -6, -2\/17, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 5986872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 172565.4us?\nAnswer: 172565400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2961 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 4211855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 24851*x - 11*x**3 - 24851*x + 5*x**3 + 6 to d*x**2 + p*x + c*x**3 + f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15*g + 138. Let x = -770 - -776. Let r be a(x). Solve r*z - 16 = 44*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -1 + -2582 + 2589?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 673 divided by -71284\nAnswer: -673\/71284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1189\/26 - -49\/13. Let x = -1\/1808 - -44301\/9040. Find the common denominator of t and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3328517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41987451 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 29*r + 210.\nAnswer: -(r - 35)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -125, -163, -237, -359, -541, -795, -1133?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 8. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/60*-6*(-9)\/30?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357546\/1049 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -302986 - -909929. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 216 = 2*a + 227, a + 4*b + 18 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1735064 centuries in millennia?\nAnswer: 0.01735064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2 - 2*l - 3. What is b(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 - 197. Let s = 15 - 10. What is the remainder when b is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8003*a**2*h**2*k - a**2*h*k**2 - 2*a*h**2 - 2607*h**2*k**2 - h*k**2 wrt a?\nAnswer: -16006*h**2*k - 2*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/(6\/32). What is the second derivative of -68*h**3 - q*h**4 + 75 + 85*h**3 - 4*h + 3*h wrt h?\nAnswer: -48*h**2 + 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 31 = c, -192961*c = r - 192964*c + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1887*w**4 + 108096*w**3 + 1185569323*w**2?\nAnswer: -45288*w + 648576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -42.00000085. What is l rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 514512 - 4a?\nAnswer: 5144a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (1 - (0 - 1)). Let n = 10 + -4. Let d = 7 - n. Sort 5, d, p in descending order.\nAnswer: 5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4554001 (base 7) to base 15\nAnswer: -b3474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10*q - 13*q = -1180, -5*q = -2*c - 453. Let n = 329 + c. What is the lowest common multiple of 30 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2384725806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i - 6. Let r(n) be the first derivative of -7*n**2\/2 - 1791. Give j(r(c)).\nAnswer: -49*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18572999 rounded to four decimal places?\nAnswer: -0.1857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120102 (base 3) in base 14?\nAnswer: -5bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(-2)\/(f\/(f**(6\/13)*f*f)*f\/f**9) assuming f is positive.\nAnswer: f**(136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5469*5\nAnswer: -2.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1084, -1744, -3494, -6880, -12448, -20744, -32314?\n\"Answer: -91*q**3 + q**2 - 26*q - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3311 - 1966*i + 3309 - 350*i.\nAnswer: -2316*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v = -12. Suppose 40 + 8 = 4*r + 4*i, 28 = 5*r - v*i. What is the greatest common factor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d. Let a(v) = 182317*v. Determine u(a(p)).\nAnswer: -546951*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23407, 23773, 24391, 25267, 26407, 27817?\nAnswer: 29503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 6. Let g = -34.97 + 30.97. Which is the closest to u? (a) g (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6893.8376 - -6891. Let n = 0.0524 - k. What is n rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 plus 45.49?\nAnswer: 45.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000039139 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3*f - 85. Let s = f - 14. What are the prime factors of s\/(-9) + 37\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 2)\/(-3 - -4). Suppose 6 + c = 3*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.40711ng to tonnes.\nAnswer: 0.00000000000007040711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 3. Let p(c) = 2*c - 3. Let f = -6 + -4. Let g(l) = -l + 2. Let u(b) = f*g(b) - 6*p(b). Determine 2*d(y) + 3*u(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 5*x + 6. Let m be j(8). Let d = m - 58. Let i(g) = 6*g - 45. Let f be i(9). Calculate the highest common divisor of f and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 47 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y + 4. Determine f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) -1.6 (d) -12\/5 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338*k + 7448 = -30016 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7947 divided by 3?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 7. Let a(u) = -u**3 - 8*u**2 - 16*u - 20. Let y be a(-6). Solve 3*h = 3*s - r + 11, 0 = -y*h + 5*s - 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h - 19*h = 21*h + 4*b - 36, -259*h + 50 = -262*h + 4*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5 - 27. Let y(p) = -p + 8. Let g be y(i). Let u(d) = -d**2 - d + 8. What is the units digit of u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + 32\/(-5). Let c be 1\/5 + 11\/(-5). What is the units digit of (-3)\/s - 1\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 11*u = 0. Suppose -2*d + 4*d - 38 = u. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000868937 rounded to six decimal places?\nAnswer: 0.000869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53711, -102415, -151119, -199823, -248527?\n\"Answer: -48704*x - 5007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 287661.1ug?\nAnswer: 287661100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 16 = 0. Let i be (g\/(-6))\/(1\/3). What is the third derivative of -16*v**5 + 7*v**2 - i*v**2 + 13*v**5 wrt v?\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31634 by 31634.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 + 1528*d**2 + 3415*d wrt d?\nAnswer: -20*d**3 + 3056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxxaaxaiaaxxxxiaxi. What is prob of picking 1 x and 1 a?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (590 + 874 - 319)*(-1 - 2 + 1 + 2*j).\nAnswer: 2290*j - 2290","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -953*w + 4201. What is the thousands digit of p(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4699?\nAnswer: 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -12628 less than 835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) 12 (c) -3\/2 (d) 0.4 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.7\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.43999941 - -1.44. What is x rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1878 and -17\/7.\nAnswer: 13146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i - 96. Let p(c) = 15*c + 103. Determine 4*p(j) + 5*s(j).\nAnswer: -10*j - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1182*z**4 - 2*z**3 + 3343 wrt z?\nAnswer: 4728*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 957794?\nAnswer: 2\/478897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-10)*((-64)\/4 + 618951) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20810 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -305\/26697?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d - 40*d - 2*d + 57*d - 3*d. Let b(k) be the third derivative of 41*k**4\/8 - k**2. What is b(p(g))?\nAnswer: 123*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3681312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2986972, -5973942, -8960912, -11947882, -14934852, -17921822?\n\"Answer: -2986970*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 - 102*s**4 - 185*s**3 + 552*s**2 - 116*s - 144 = 0. What is s?\nAnswer: -18, -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1975 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -183, -89, 5, 99?\n\"Answer: 94*y - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31199 and -1?\nAnswer: -31199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5254750246.\nAnswer: 2, 23, 3307, 34543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 q, and 2 a when four letters picked without replacement from qiaqkqkkaq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -110003?\nAnswer: -110003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/y)**(2\/99)*y**(-15)*y**(-3\/4) assuming y is positive.\nAnswer: y**(-6277\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*1\/2*1. Let g be (4 + h - -7) + -2. Suppose 2*t - 2540 = -g*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + 7. Let i be 0*((-5)\/z - -3). Sort -2, -3, i in ascending order.\nAnswer: -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 210975127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7301 and 0.0919.\nAnswer: 670.9619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8127 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*c - 12*c - 50. Sort -27, -2, c, -1 in decreasing order.\nAnswer: c, -1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13208767 = 366*j + 324293 - 8391472. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908919360?\nAnswer: 2, 5, 19, 61, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 88 = -39*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(114) - sqrt(114))*-4)\/(sqrt(294) - (sqrt(294) - -4*-2*sqrt(294))).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188216 and 14210308.\nAnswer: 28420616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.32559 plus -2326.1126?\nAnswer: -2316.78701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(-132)\/55?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (408\/17)\/((-1)\/(-3)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 2*r**4 - 2*r**3 - 2*r - r**4 + 4*r.\nAnswer: (r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (398 - 233 - 236)*(137*m**4 + 27*m**4 + 61*m**4) in the form v*m**4 + p*m + j + b*m**3 + x*m**2 and give v.\nAnswer: -15975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1683, -1572, -1405, -1200, -975, -748?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*2\/(-4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-2)*2\/(-40). Which is the biggest value? (a) j (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 - 2*d + 2. Let p(q) = 1. Let k(f) = -4*f**2 + f - 6. Let u(g) = -k(g) - 5*p(g). What is -3*a(s) + 5*u(s)?\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -76 + -2?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525518281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 341*t + 2930. Determine p(105).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 43 (c) 87\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1121 + -2014?\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**5\/30 + y**4\/6 + y**3\/3 - y**2 + 4*y. Let z(d) be the first derivative of j(d). Suppose z(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 139*s**3\/6 + 3*s**2\/2 - 14*s. Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m - 5*m + 3*m)*(840 + 153 - 86) in the form w*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73553688 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4\/7 + 606*p**3\/7 - 2451*p**2 - 26297956*p\/7 + 52659708\/7 = 0.\nAnswer: -174, 2, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -1. Suppose -4*f = -5*r - 23 + 9, 4*f = -5*r + 34. Solve 2*o + f = -5*v + k*v, v = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234*o**5 - o**4 + 126*o**3 - 243*o**3 + 12*o + 117*o**3 - 66 - 11*o wrt o.\nAnswer: 4680*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 70. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - w**3 - w - 13*w + 5*w - 5*w**2. Let o be g(-9). Solve 3*k + n = -o*k + 12, -5*n + 6 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 less than 223787?\nAnswer: 223787.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (2 + sqrt(243)))**2 - (1 + sqrt(363))**2)*-5 - ((sqrt(6) + sqrt(384) + -1*sqrt(384))\/(sqrt(14)\/(sqrt(7) - (1*sqrt(7) + sqrt(7)))))**2.\nAnswer: 110*sqrt(3) + 1797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14793575 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -257*f + 258*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 + 3*q - 8. Give w(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:29 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*p + 4, 2*p - 1 = 3*z + 1. Differentiate -4*g**z + 3 + 1 + 2 - 3 wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*c + 4972 + 1971 = -9931 + 3510 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2234 - 2253 = -4*k, 1 = 5*g - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3375.4413 times 0.6\nAnswer: 2025.26478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 43*j**2 + 34*j - 362. Calculate i(-42).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 - 12.2?\nAnswer: 1672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13449 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 932, 932, 934, 938, 944?\n\"Answer: l**2 - 3*l + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*f - 4*i - i - 250 = 345*f, -7*f = -3*f - 3*i + 179 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 150447500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 189 - 1718604\nAnswer: -1718415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3706604, -14826411, -33359420, -59305631, -92665044?\n\"Answer: -3706601*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 12. Let n be 3\/((-10)\/(-6) - 2). Let w be s(n). Let g be 99\/w + 4\/14. Solve 19 + 1 = -g*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3208 and -1532?\nAnswer: 491.4656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3\/14 (c) 7 (d) 3 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -136*t + 2. Let r be x(-1). Let p(v) = -3*v**2 + 4*v + 24. Let d be p(8). Let n = r + d. Solve -w + n*s = 4*s + 5, 2*w - 3*s = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13308 divided by -3.\nAnswer: -4436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/5, 5, 2\/15 in descending order.\nAnswer: 5, 0.4, 2\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -d - d, 0 = 2*m - 2. Suppose l = d*u + 3 - 4, -4*l = 5*u + 4. Are l and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((5*sqrt(72))**2 + sqrt(72))*2 + -2 + sqrt(200) + 3).\nAnswer: -21606 - 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((14 - (13 + 8)) + 7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1491 - 1490.8. Let m = 16 + -15. What is the closest to m in -0.3, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -136, -256, -364, -454, -520, -556, -556?\n\"Answer: l**3 - 127*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 19718*h - 5 - 9865*h - 9861*h + 2. Let w(i) = i - 5. What is v(w(t))?\nAnswer: -8*t + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 9)*(2*d**5 + d**5 - 2*d**5).\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -3)\/(8\/4). Solve -5*u**4 - 3*u**3 + 17*u**4 + 3*u - 12*u**2 + x*u = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/3 (b) 0.2 (c) 10 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*w + 5, 3*w + 54*c - 51*c - 12 = 0. Suppose 20*a + w = 19*a + 5*u, 5*a + u = 11. Solve 2*x - a*q = 14, -4 = -2*x + 3*q + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-12) - 5)*0 - 90\/9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 498953379.05000101 + -498953377. Let m = -2.05 + k. Round m to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134557 divided by -1?\nAnswer: -134557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 - 94*b\/13 + 92\/13.\nAnswer: 2*(b - 46)*(b - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c + 27*d = 39*d + 396, 0 = -c + d + 19 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42042 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 471369*a + 15. Let z(o) = 471368*o + 16. Let m(t) = -3*l(t) + 2*z(t). Let g be m(-6). Let x = g + -1128213. Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 48 = -12*p. Let u be 100\/80 - p\/(-4). Solve -2*j - 2*r = -j - 2, j = -4*r + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - i - 11, 0 = -5*t + 5*i + 25. Let p = 98 - t. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 329?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 192 = -4*h + 5*z, 0 = 2*h - z - 93. Suppose -15 = -5*j + h. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 3. Let n = -36 + 32. Let v be t(n). Suppose v*i - 3791 = 1454. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 57\/5, 3291 in descending order.\nAnswer: 3291, 57\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376344430.\nAnswer: 2, 5, 43, 3200801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844000701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4540 + 1?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 - (5 - 3)). Let h(k) = k + 52. What is the tens digit of h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 25, 21, 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -40*s - 666. Calculate v(9).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13983, -33556, -53129, -72702?\n\"Answer: -19573*f + 5590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533269628.\nAnswer: 2, 23, 523, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 111471413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(27) + -4)*-4.\nAnswer: -24*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 442532 (base 9) to base 10\nAnswer: 264332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*i - 2926 = 0, i = -3*i. Let h = z - 3009\/2. Find the common denominator of 113\/14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3452145, 3452115, 3452065, 3451995, 3451905?\n\"Answer: -10*t**2 + 3452155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let s = -32 + -7. Let v(t) = 19*t**2 + 13*t + 13. Let b(p) = 3*p**2 + 2*p + 2. Let n(d) = s*b(d) + 6*v(d). Give m(n(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose -u = 3*t - 8, -6*u = -2*u + o*t - 68. Let n = 2022 - 1945. What is the remainder when n is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1248)\/144 - 12\/9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 71?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13225448 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: Calculate the least common multiple of 258 and 386136.\nAnswer: 16603848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 plus -7807933067?\nAnswer: -7807933274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-104))\/(20*1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323 or -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -1226596?\nAnswer: -1226596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 5}. Give prob of picking 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/50*(-5)\/(-25)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3\/4, -0.5, 0.4, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/27345 and -81\/860456?\nAnswer: 12906840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 2*d**2 + 5*d - 5. Let w(p) = -p**3 - p**2 + 2*p - 2. Let u(i) = -5*w(i) + 2*z(i). Let k be u(0). Let s(t) = t + 35. Is s(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)*(1 - 3). Let z = 7 + h. What is the units digit of z\/1*16\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 3)*4 - (-4*sqrt(76)\/sqrt(4) + sqrt(171) + -3).\nAnswer: 15 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -16 + (-55 - -46) + 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 36 = 6*t. Suppose t*n = -0*n. Suppose -3*y + 0*a + a + 99 = n, -3*y - 5*a + 99 = 0. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) 3.3 (c) 2.1801 (d) -1\/4 (e) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5759, 3\/55, -2\/5, 4?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/160)\/((-6)\/(-24)))\/(1\/(-26))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 252301 - 5b?\nAnswer: 252295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -28*c - 7. Let g(x) = -47*x - 13. Let b(j) = 3*g(j) - 5*i(j). What is b(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/18*(-328)\/6314)\/(15\/(-45))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*o = -2418, -o = 238 - 236. Calculate the remainder when q is divided by 404.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72550.14 meters?\nAnswer: 7255014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 75 - 200*v**2 + 20\/3*v**3 + 8000\/3*v - 1\/12*v**4. What is l in b(l) = 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 + -4.11. Which is the second biggest value? (a) q (b) 3 (c) 6\/7 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58992 divided by 1?\nAnswer: -58992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9.83. Let q = -0.37 + p. Which is the nearest to -1? (a) q (b) 0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 13984810?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(9)*-1) - sqrt(28)\/(sqrt(2) + sqrt(6)\/sqrt(3)))\/(sqrt(336)\/sqrt(3) + sqrt(7) + sqrt(7) + sqrt(28)*3).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/13 less than or equal to 2773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 - 288365*w - 129312550 = 0. Calculate w.\nAnswer: -445, 58118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**4 - 272*s**3 + 4*s**2 + 272*s = 0.\nAnswer: -68, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*n = 56, 7*s - 12*s - 3*n = -45 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -7253\/49. Let f = x + -109\/539. What is the fourth biggest value in 0.4, f, 1\/4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1226*f**2 - 1746*f**2 + 4263*f**2 - 1292*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -1)\/((-60)\/32*-2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 561? (a) 2\/7 (b) 0.1 (c) -0.3 (d) 1055 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) 0.022 (c) -2\/9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b (base 16) to base 12.\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*t - 1070*t - 134316 = 188*t for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkfkwwwhfhhfqf. Give prob of picking 1 w and 1 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - d)*(-47 + 88 - 29 - 30*d**3).\nAnswer: 30*d**4 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3474.267 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 + -333. Let i(s) be the first derivative of 0*s**2 + 4\/21*s**3 - 1\/14*s**4 + 0*s + o. Factor i(c).\nAnswer: -2*c**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7853 + 7633. What is the smallest value in 0.7, x, 2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24641*i**2 - 48673*i**2 + 24045*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*o - 24 = 0, -657*n + 658*n + 19 = -4*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218*o**5 + 9*o**2 + 2*o.\nAnswer: 13080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose -m = y*m - 280. Let t = 41 + m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/28 + (-22)\/(-56). Let v = -271 - -433. Let n = 167 - v. Which is the third biggest value? (a) -11 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 3*p**3 - 20*p**3 + 0*p**2.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 67*m = -62*m - 21, -q + 2*m - 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 v(n) be the second derivative of -n**4\/132 - 71*n**3\/33 - 5041*n**2\/22 - 226*n. Factor v(d).\nAnswer: -(d + 71)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.6. Let x = -0.31353 + -2.68647. What is the nearest to 2 in -6, -0.3, f, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3\/2 + 19*m**2\/2 - 5*m. Let z be u(6). Solve 0 = -3*k + 3*j - 3, k + 5*j = -0 - z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055267029 rounded to six decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-25)\/(-40)*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 5*t - 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -18*b**2 + 2001 - 2001. Let n(i) = -2*i**2. Calculate n(l(t)).\nAnswer: -648*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 311, 460, 605, 746, 883, 1016?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) -1\/2 (b) -0.08 (c) 109 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-240)\/280)\/(3\/(-14)))\/(-1). Sort 152, v, 1, 4 in ascending order.\nAnswer: v, 1, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242810 is divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 48, 171, 406, 789?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124509433.\nAnswer: 124509433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 106*g + 4. Let p(w) = w**2 - w - 7. Let r be p(4). Let x be c(r). Let z = -181 + x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/40)\/((-644)\/230))\/((-81)\/(-7)).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*f**2 + 10517833 - 10517833 as l + j*f + k*f**2 and give k.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*f - 9320 = -37*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422927520 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:30 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -234963.\nAnswer: -234966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6463 and 10.\nAnswer: 64630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 111068*x**3 + 8969928*x**2 - 9303152*x - 18162016 = 0 for x.\nAnswer: -27686, -82, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1003, -3995, -8983, -15967, -24947, -35923?\nAnswer: -48895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3575697l?\nAnswer: 357.5697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. What is the remainder when 9 - v*(7 + -4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -77. Suppose 4*f - f + 2*p - 27734 = c, -5*p = -2*f + 18464. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*c - 20 - 7, 2*k = 2*c - 36. Solve r - 4*b = -c, -5*r - 3*b - 1 = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -33*c - 4. Let b = 7 + -1. Let r be t(b). Calculate the common denominator of r\/24 + 2\/(-3) and -61\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1806528, -1806273, -1805848, -1805253, -1804488, -1803553, -1802448?\nAnswer: -1801173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 - 5*j - 3446. Let q(w) = 2*w**3 + 6*w**2 - 8*w - 5171. What is -5*q(g) + 8*z(g)?\nAnswer: -2*g**3 + 2*g**2 - 1713","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*a - 3*a + 2*o, 15 = -3*o. Suppose -3*t - a = -2*t. What is the third biggest value in 0.1, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74476857.\nAnswer: 3, 7, 13, 272809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02046444395 - 0.2.\nAnswer: -0.22046444395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.489 - 48.389. What is the nearest to -0.36 in 4\/7, v, -7\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -0.5. Which is the closest to v? (a) -0.1 (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(4)\/(2*sqrt(2) - sqrt(2)) - (-4 + 1 + sqrt(2))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 + 4*y - 2. What is the lowest common multiple of u(-5) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*k - 74*k - 196*k - 83*k - 1.\nAnswer: -25*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 14. Let v = b - 84. Sort v, -1, 5, -3 in decreasing order.\nAnswer: 5, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 29.00165. Round c to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -14.6. Let j = 13 + q. Let k = 1.5 - j. Which is the second biggest value? (a) k (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-3)*m**(2\/13)\/m**(-2\/11)*(m**(2\/11)\/(((m\/m**5)\/m)\/m))\/(m**(-1\/5)*m*m*m*m*(m*m**3)\/m) assuming m is positive.\nAnswer: m**(4088\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -55*a - 156. Let q(z) = 110*z + 318. Let h(d) = -5*c(d) - 3*q(d). Differentiate h(i) wrt i.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*p - 24 + 9 = 0, 0 = -2*n - 4*p - 20. Let w(d) be the first derivative of 23 + n*d**2 + 0*d + 5\/3*d**3. Let k(x) = -7*x. What is k(w(a))?\nAnswer: -35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 9*t**2\/2 + 58*t + 28. Let j be x(-6). Solve -2*z - 46 = j*u - 16, -5*z - 45 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let h(y) = y**3 + 8*y**2 - 3*y - 23. Let c be h(-8). Let n(q) = -29*q + 2*q + 8*q + c. Give a(n(k)).\nAnswer: -361*k**2 + 38*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - q + (q - q - 2*q)*(-6 + 2 - 8).\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (0 - 1) + 4. Suppose 0 = c*x - 5*r - 99, 0 = -x + 4*x - r - 129. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 b when four letters picked without replacement from nnmbbbbnbnbbb?\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 143*c**2. Let k(p) = -4411*p. What is k(m(d))?\nAnswer: -630773*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.5. Let g = 1192 - 1197. What is the second smallest value in v, 1, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1524? (a) 0.08 (b) 0.2 (c) 1 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/15 + 3\/9*3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p - 8*p - 3*p. Let u be o(-4). Calculate the remainder when 23 is divided by 2*u\/8*-13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 36 = 8*a. Suppose 8 = 3*x + 56. Let t = x - -4. Are t and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 4. Let l be i(-3). Let d be 302\/(-5) - (-4)\/l. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204*d**3 + 31*d**4 - 254*d**4 + 126 - 204*d**3 with respect to d.\nAnswer: -892*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 2. Let j(m) = -m + 3. Let t(q) = -2*h(q) + j(q). Let o be t(29). Solve -3*i = 5*l + o, 0*l + 27 = -5*l - 2*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/3 - 128*f**3\/3 + 3254*f**2\/3 + 77660*f\/3 - 150800 = 0. Calculate f.\nAnswer: -78, -20, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 54. Suppose 2*p + 3*p = -o, d + 4*p - 236 = 0. Does 58 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 4:03 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 + 1 + -5 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from nnyn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 + 56*s**5 + 24 - s - s**4 - 135*s**5 wrt s.\nAnswer: -1580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let y(f) = 8 - 6*f + f**2 + 0*f**2 - f. Let d be y(6). Let j(q) = q - d + 2. Give j(t(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 - 6*v**3 - 3*v**2 + 2*v**3 - 14 + 12 as i*v**3 + a*v + b + x*v**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(320) + 0) + -3 + 4)**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*l**3 + 2921*d**2*l - 9*d*l**3 + 9*l**2 wrt l?\nAnswer: -12*d**2*l - 54*d*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 204187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**1)**(-37)\/(u**(-1)*(u\/(u*u\/((u**(-4\/9)\/u)\/u)))\/u))\/(u*u\/u**(3\/2)*u*u**(1\/5))**(28\/3) assuming u is positive.\nAnswer: u**(-5464\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnewnw. What is prob of sequence wenw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-554)\/1662*(48 + 0)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158709*z = -158450*z - 13468 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 - 2*p**2 - 2*p - 7. Suppose -5997*u = -6006*u - 18. Let k(t) = -5*t**3 - 2*t**2 - 3*t - 8. Give u*k(f) + 3*j(f).\nAnswer: -2*f**3 - 2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13354*g + 1094*g - 1462700 = 2367*g for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 24 + 10 + 25 - v - 8 to y*v + u and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1. Let m be d(0). Suppose -4*o + 4*l = -40, 0 = -4*o - 4*l - m + 49. Solve -3*u + 4 + o = 0, -45 = 5*n - 4*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.545 + 0.145. Which is the closest to s? (a) -2\/11 (b) 0.7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -9. Let c = 21 - 19. Suppose 5*r - 5*z - 9 = 2*r, -5*r + 5*z + 15 = 0. Solve c = u*o - r*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36367 + 2738 = -3*o. Let l = -23412 + 46547. Let g = o + l. Round g to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049699048 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000363187 to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*y = 1257*y + 720*y + 44160 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41260722*u*y**2 + u - 1752*y**2 + 30*y + 218 wrt u.\nAnswer: -41260722*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-2 - 1) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d + 11. Calculate t(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.00199*16.42\nAnswer: 0.0326758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12872 = -96*j + 24280. Is j at most 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 3*g - 1. Let q be (2 - 0)\/(2\/(-1)). Let j(b) = 1. Let x(p) = q*l(p) - 3*j(p). Determine x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - -18. Suppose -9*d = 4*u - 4*d - f, -5*d = 3*u - 73. What is the lowest common multiple of u and 62?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.24 and 5025.\nAnswer: 5025.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 109*b**2 - 8*b - 87. What is the hundreds digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*q**3 - 2 + 4 - 2.\nAnswer: -212*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -527*q**2 - 119*q - 119. Let p(j) = -22*j**2 - 5*j - 5. Let h = 7430 - 7311. Determine h*p(t) - 5*d(t).\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18304 = -63032*h + 62824*h for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.43759029 from -0.2.\nAnswer: -0.63759029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(225) + -2*sqrt(225))*6 + (sqrt(225) - 2*(sqrt(225) + 1*sqrt(225) + sqrt(225))))\/(sqrt(500) - (sqrt(500) + (-3*sqrt(500) + sqrt(500))*-2)).\nAnswer: -1 + 33*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 3, g: 3}. What is prob of sequence mimg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/2 - 9*r**5\/5 + 3*r**4\/2 + 12*r**3 + 12*r**2 - 48. Solve z(p) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2 - 34*p + 78*p - 41*p. Let w(u) = -u. Give q(w(b)).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 - (-2 - 1)). Suppose -4*d + 20 = -y*d. What is the highest common divisor of 8 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 16743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 192?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 + 4*d + d**3 - 3 + 9 - 6 - 2. Calculate the common denominator of -63\/5 and i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 2*s**2 - s + 11. Calculate j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 4*x**3 + 3*x**3)*(5 + 1 - 31665*x + 31917*x).\nAnswer: 252*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7980 - -3?\nAnswer: -797c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 5*v + 7. Suppose -11*y = -9*y - 8. Suppose d + 6 = -4*q, y*d - 5*q = d + 33. Give a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 6*d**2 - 8*d - 2. Let b(v) = v**2 - v + 1. Let j(p) = -b(p) + o(p). Let c be j(-6). Does 11 divide (1 + c)*11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -701837.456\nAnswer: 701837.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 136453481.\nAnswer: 5\/136453481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3479117 and 3.826?\nAnswer: 2.4780883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three thirds of a minute?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 72*l + 200. Determine i(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 11*r + 43 = f + 18, 49 + 51 = 4*f + 6*r for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**5 - 136*h**3 + 188*h**2. Let j(v) = -3*v**5 + 45*v**3 - 63*v**2. Let a(i) = 11*j(i) + 4*k(i). What is the third derivative of a(x) wrt x?\nAnswer: -60*x**2 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (-1 + sqrt(125))) + 0 + 4 - (4 + sqrt(125) + 3 + -5).\nAnswer: -5*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h + 47. Let l be b(4). Let d be (-1)\/1 + (91\/l - -11). Solve c - 4*c - 10 = 2*a, d*c = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)\/(1\/43). Let d = h - 25. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 - 6*f - 5. Let a be g(-3). What is the first derivative of 5*b**a - 4*b**4 + 42*b**4 - 38 wrt b?\nAnswer: 172*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 56*q**2 - 2*q + 2. Suppose -13 = -6*t - 7. Let u be g(t). Let f = u + -42. Calculate the highest common factor of 154 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249622752 by -7243.\nAnswer: -34464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Let i be 1*(-1)\/k*2. Let v be (-6)\/324*39 - 2\/(-4). What is the third biggest value in 4, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121446 and 105703?\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643 - -919. What are the prime factors of y?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-462) + 822\/(-22) + -1. Let i = h + 38. Put i, 45, 3, -2 in descending order.\nAnswer: 45, 3, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 1216?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18ae (base 16) in base 2?\nAnswer: -1100010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -41.9. Which is the closest to -1\/3? (a) -2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4))**(10\/13) assuming k is positive.\nAnswer: k**(15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let q(b) = -3*b - 289. Calculate q(x(j)).\nAnswer: 6*j - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 993 or 2981\/3?\nAnswer: 2981\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-170)\/30)*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17903.52 kilometers to meters.\nAnswer: 17903520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 31*b + 8. Let y(k) = 21*k + 5. Let x(j) = -5*t(j) + 8*y(j). What is the remainder when 51 is divided by x(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:57 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 3*j**2 + 8 + j**2 - 9. Suppose -4*g + 5*g = -5. Let t(w) = 4*w**2 + 3*w + 1. Calculate g*q(k) - 3*t(k).\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (0 + -3)) + 1. Suppose -q*h - h = -8. Suppose h*s = -s + 39. Calculate the greatest common factor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 33. Let q(j) = j**2 + 2*j + 1. Let f be q(-2). Put -2, f, t in decreasing order.\nAnswer: t, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 1 e when three letters picked without replacement from qjejajjjaqaaqsjqs?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/4 + 128*h**4 - 89589*h**3\/4 - 236648*h**2 + 22397*h + 236520 = 0.\nAnswer: -648, -10, -1, 1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3)*-3 + 3).\nAnswer: -9*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 1070*m**3 - 30488*m**2 + 280320*m - 843264.\nAnswer: (m - 12)*(m - 8)**2*(m + 1098)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -183*o**2 - 212*o - 6. Give n(-3).\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d - 1. Let r(w) be the first derivative of -3*w**4\/4 - 5*w**2\/2 + 6*w - 1. Suppose n - 7*n + 42 = 0. Let y = -6 + n. What is y*r(v) + 4*z(v)?\nAnswer: v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.048255\nAnswer: -0.009651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f50 - 2812?\nAnswer: 473e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4440162604 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 22*o = 4*j - 67, 4*j = -3*o + 55. Solve 3*w = 5*t + 1 + 9, -3*w = t - j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - 0.33. Let d = -1.05 + s. Round d to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-46)\/207)\/(10\/(-45)). Let f(q) = 4*q**3 + q**2 - 1. Give f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2143035.\nAnswer: 3, 5, 47623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.08*0.3.\nAnswer: -2.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 915982, 3664378, 8245038, 14657962, 22903150, 32980602?\n\"Answer: 916132*d**2 - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/15, 30, 0.5?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 459 = 147. What is the remainder when 181 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 408426818402\/2585 - 157998766. Let l = r + -4\/517. What is the common denominator of l and 12\/(-16)*50\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 8)*(-2*f + 4 - 4)*(0*f + 0*f + 2*f**2).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -118*g - 518. Calculate the lowest common multiple of p(-11) and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.321830672 and 1.0511.\nAnswer: 1.372930672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + 16\/6. Let c = f + -5. Let w = c + 10. Solve -3 - w = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 4*a - 144. Suppose 2*t = -t + a. Solve -t = -s - 2*x, 5*s - 16 = 2*s - x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023869669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:56 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 340*j**3 + 596*j**2 + 378036*j - 1129968 = 0. What is j?\nAnswer: -59, -57, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3\/7 (b) -1\/9 (c) 0.2 (d) -0.1 (e) -1\/72614\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(729) + (sqrt(729) - (sqrt(729) + 1*sqrt(729)) - sqrt(729) - sqrt(729))) + -4.\nAnswer: -4 - sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 268? (a) 0.4 (b) -145 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/6 + 17*f**2\/2 - 8*f - 50\/3.\nAnswer: -(f - 50)*(f - 2)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 - 2*f - 1. Let b be v(-1). Suppose 43 = 4*z - 41. Suppose w - 15 = -4*k, 5*w + 0*w - z = -2*k. Solve 4*d - 20 = w*u - b, u + 7 = 4*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5. Let w be -14*b\/2*1. Suppose 4*x + 3 - 2 = -y, -x = -2*y + w. Solve y*d + 0 = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9961 + 9972 - 19933 - 10*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1370845458 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 - q + 7. Let j be o(-7). Suppose -x + 71 + 76 = 4*s, 5*x + s = 735. Let c = x + -35. What is the highest common divisor of j and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(5)*-2 + sqrt(55)\/(sqrt(66)\/sqrt(150) - sqrt(11)))**2.\nAnswer: 91*sqrt(5)\/2 + 1629\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/33 and 79\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 990557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 5*k - 45, 1343*d + 1346*d - 18 = 2686*d - 2*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 - 0.73. Let x = 0.04 - -8.96. Let o = 11 - x. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + -3 + sqrt(475) + 1 + 3 + -2)*-6)**2.\nAnswer: -2100*sqrt(19) + 18325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.798 - 0.658. Let v = -21 + c. Let a = v + -0.14. Is a >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f + 21 = -31*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Let w(k) = -k**2 + k. Let v(x) be the first derivative of 2*x**3 - 5*x**2\/2 - 12. Let b(t) = -3*v(t) - 15*w(t). Give r(b(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844563?\nAnswer: 3, 43, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - d**2 + 11*d**2 - 2*d**2 - 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 740, 1364, 1988?\n\"Answer: 624*k + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 566622 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 24 + 24 = 0. Solve 3*x + 2 = s - i, 5*s = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194788 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 69*r**2 + r**3 + r**3 - 49*r + 3600 + 754*r - 23*r**2 - r**3 = 0.\nAnswer: -16, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.7 + 68.3. Let i = v + -90.906. Round i to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/14)\/(1\/(-91)). Suppose 4*q - 7*q = -p. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864*x + 61*x + 1303*x.\nAnswer: 3228*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/((-1839753)\/(-2260))*1\/(-20)\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d8 - -3b?\nAnswer: -79c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -30*n - 83. Let r be m(-12). Let c = 1046 - r. List the prime factors of c.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/19)*d**(-13)\/d*d)\/(d**2)**(11\/6))**(-1\/39) assuming d is positive.\nAnswer: d**(956\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**7\/10 + l**5\/15 - 5*l**2\/2 + 20*l. Let r(k) be the first derivative of q(k). Find the third derivative of r(j) wrt j.\nAnswer: 504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 144.1876.\nAnswer: -28.83752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3894540094 to the nearest integer?\nAnswer: 62406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*j + 623*j + 96*j + 312*j + 276*j)*(4*j + j**2 - 4*j).\nAnswer: 1136*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 5, -4.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 - 7*j - 8. What is v(-5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + 19. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 55, 5, -5 in descending order.\nAnswer: 55, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/851796 and -169\/6600.\nAnswer: 42589800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -276.6 + 198. Let i = b - -101. What is i rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15807.\nAnswer: 3, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**7*u*u*u**3*(u**0)**39)\/((u*u\/((u*u\/(u**(-7)*u)*u)\/u*u)*u*u*(u*(u*u*u**6*u*u)\/u)\/u*u)\/(u**(-2\/13)\/(u*u**(4\/9)))) assuming u is positive.\nAnswer: u**(-889\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 51, 30, 9 in descending order.\nAnswer: 51, 30, 9, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.8 + 8.79999755. What is r rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Let z = 0.4 + -0.8. Let q = 37\/116 - 2\/29. What is the closest to q in -2, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 + 91 + -193 + (-1 - (0 - -2)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(735))\/(-3*sqrt(35)\/sqrt(7)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n. Let w(m) = -8*m - 4 - 6*m - 8. Let b be (0 + 2 + -1)*-12. Let c(j) = -j - 1. Let a(y) = b*c(y) + w(y). What is a(d(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y**2. Let a(m) = 14*m**2. Determine a(j(s)).\nAnswer: 3584*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 551075 and 4221.\nAnswer: 4959675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7 + 47 = 0. Let c(w) = 7*w + 2. What are the prime factors of c(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3203 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-4*t + 6*t + t) + 4*t - 4*t - 2*t - t + 2*t - 3*t + (t + 2*t - 5*t)*(5 - 2 - 2) + 3*t - 2*t - 3*t + 6 + 2*t - 6.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -1 - 3. Factor 3*n**3 + 4*n**4 + 0*n**4 - p*n**3 + 0*n**3.\nAnswer: n**3*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 53. Calculate i(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 32 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*j - 282, -3*n + 138*j = 134*j - 836. What is the lowest common multiple of n and 36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8643898 micrometers to nanometers.\nAnswer: 864.3898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2040562 + 29\nAnswer: 2040591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/((-78)\/195)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8194.\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2459 - 642696.\nAnswer: -640237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4497 - -4886. Which is greater: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2606*h - 2595*h - 594 = 0. Let s(x) = 4*x**2 - x + 2. Let p be s(-2). Let v = h + p. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292\/7 - 42. Suppose 18*y - 17 = y. Which is the second smallest value? (a) -0.2 (b) -2 (c) y (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15776?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w - 5. Let l be p(-1). Put -2, l, 2 in decreasing order.\nAnswer: l, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35717*d - 34894*d + 2*d**2 + 293*d**5 - 2*d**2 wrt d.\nAnswer: 5860*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33183731 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(44)\/sqrt(4)))**2 + -1 - (-6*(sqrt(228) - -1*sqrt(228)) - sqrt(228))\/sqrt(12).\nAnswer: 18 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*c**3 + 1 + c**3)*(-23*c + 52*c - 26*c)*(0*c - 2*c + 0*c)*(4 + 2 - 1).\nAnswer: -90*c**5 - 120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/5*3040\/912\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:50 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1 + 1 + 2 - 2*g + 0*g**2 + g**2. Let q be t(2). Suppose 2*x + q*x = 306. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32431 + 73954. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - 0.46. Let n = l - 0.02. Which is the closest to 0.1? (a) n (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/12 + y**3\/6 + y**2\/2 + 11*y. Let u(v) = -v**3 - v**2 - v - 1. Determine f(x) + u(x).\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -2135342?\nAnswer: -2135402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 4*m + 1210 = 1332, 8*m - 3*m - 5 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + 2 - 2)*(2*l + 4 - 4) + 18*l**3 - 6094*l**2 + 6094*l**2 in the form c*l + d*l**3 + b*l**2 + f and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let v be -18 - (-4 - 2)\/(-2). Let w be -3 + v\/(-3) - 1. Let r(z) = -5*z**2 + z + w*z**2 - z. What is r(q(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -6255641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)*(1 + 2). Suppose -1 - h = -2*m. Let y(o) = 7*o + 1. Let q(n) = 3*n. Determine m*y(f) - 5*q(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 399363*d + 1014426*d.\nAnswer: 1413789*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liologgobbozgob. What is prob of picking 2 g, 1 z, and 1 b?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17460510?\nAnswer: 2, 3, 5, 582017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 * 71.4709.\nAnswer: -47.170794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 125*c + 197. Let p be x(-64). Put 4, -21, -7, p in descending order.\nAnswer: p, 4, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(136) - sqrt(136))*3 + sqrt(136))\/sqrt(8) + -1.\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wddc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in -4\/249, -0.2, 0, -1\/3, 2\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 9*v**2 - 9*v + 12. Let u be a(10). Let m = u - 20. Find the second derivative of 30 - 2*s**m - 3*s - 30 wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1481 - 1344. What is the nearest to -1 in -0.3, -2\/9, v, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 24*s**2 + 1916*s + 1639. Calculate g(-79).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/27 - -2*(-215)\/(-90). Suppose -4*n - h = -8866, -g*h + h = 3*n - 6643. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -31. Suppose -4*j + 119 - 107 = c. Solve -3*v - 4*n - 3 + 1 = 0, -j*n - 2 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -680 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-4 + 17 - 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6173186.39 to the nearest 100.\nAnswer: 6173200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542850 = 7235*b + 82156 - 277276 for b.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t. Let p(h) be the first derivative of -8*h**3\/3 - 953. Give a(p(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*b. Suppose 0 = 4*c + b*i - 50, -3*c + 21 = -2*i - 6. Let r(d) = -51*d - 1470. Calculate the smallest common multiple of c and r(-29).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.029 - -15.971. What is the nearest to 3 in q, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122666 is divided by 697?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9231*d**4 - 10533.\nAnswer: -36924*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {n: 6, t: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5355*m + 2*m**2 + 5355*m + 4)*(-4*m + 5*m - 2*m).\nAnswer: -2*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*b - 2, 1 = -2*b + 5*y + 24. What is the remainder when 50 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 219 and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 218 = -56. Let q be 2943\/v*(-28)\/(-3). Let i = -649 - q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 3*x**2 - 2*x**2 + (958 + 1118 - 4605)*(3*x**2 - 2*x**2 - 5*x**2))*(4 - 3 + 0) to the form i*x**2 + h*x + l and give i.\nAnswer: 10115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 4*m**2 + 4*m. Let q be 2*3\/(-24)*-4*5. Give c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785, 1568, 2351, 3134, 3917?\nAnswer: 4700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30276370 = 14*k - 183923630. What is k rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/22 - 26520\/2145.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 + 133*f**2 - 9*f**3 - 129*f**2 - 4*f**4 + 4*f + 0*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10)*2)\/((-266)\/(-3325))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*s - 10*s. Suppose 2*v = 9 - s. Let r = 9 - 8.7. Which is the third smallest value? (a) -3 (b) -0.1 (c) r (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7777 = 359*t - 1039*t + 579*t for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4029 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/38))**(-25) assuming p is positive.\nAnswer: p**(-25\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 6\/2)*-3. Suppose q = k + 2*u - 10, 0 = 5*k - 4*u - 135. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/1579315963?\nAnswer: 2\/1579315963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143995 is divided by 2318.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.847 to 1 decimal place.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.5. Sort 1\/6, 2, y in descending order.\nAnswer: 2, y, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*n + 3*r, -10*r = 4*n - 13*r - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-55))\/(5*(-6)\/(-225))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p + 14. Let j(k) = -k**2 - 9*k - 5. Let l be j(-9). Let f be u(l). Which is the third smallest value? (a) -2\/7 (b) -1\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*v, -3*v = -3*g - v + 23. Solve -g = 4*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q - 29 = -3*b, -3*q = 2*b - 21. Suppose -q*h + 41448 = v, -v - 2*v + 124292 = 2*h. Let f = v - 5428. Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284092 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 19*v - 6. Calculate d(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/126 and -9\/98?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -113000 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + 51. Let w = -0.280107 + 0.080107. What is the nearest to 2\/3 in -1\/2, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/3 - 10913675*b\/3 + 3637892 = 0.\nAnswer: -10913676, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.07 (b) 2 (c) -1\/28 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2\/10 + (-333)\/(-360)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*42\/(-63)*20\/1. Suppose -5*u + 2 = -8. Factor 4 + 0*r**2 + r**u + 205*r - t*r.\nAnswer: (r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x + 2, -3 = -n - x. Suppose -3*g + g = -n. Factor -g*w**3 + 2*w - w + w**3.\nAnswer: -w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13207 and 46060?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, c: 3}. Give prob of picking 1 o and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4272 and -127\/6408?\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724614207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165 * 0.0235.\nAnswer: 3.8775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 28 = 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-5))\/((-2)\/20). Let p be 0 + -1*1 + 4. Let i(w) = 4*w**2. Let q be i(1). Solve -p*f - m = -q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 35*s + 35*s + 8*s + 24*s**2)*(7*s**2 - s**2 + s**2 + (4*s - 2*s - s)*(2*s - s + 0*s) - 3*s**2 + s**2 + 0*s**2 + 0 + 0 + 2*s**2).\nAnswer: 192*s**4 + 64*s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58273278 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3115 = y, -3*q - 2*q = -y - 3125. Is 48 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*l - 3 = 0, 132*l - 66*l - 4 = -2*x + 67*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - 3*a + 7*a + (-2*a + a - 7*a)*(1 + 3 - 1) + (a - 4*a + a)*(1 + 3 + 6))*(2 + 2 - 3) as u*a + d and give u.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = 5*x, -n = -2*x + 4*x + 2. Suppose n = 4*z - 9*z + 4*b - 35, -2*z = 5*b - 19. Calculate the lowest common multiple of 5 + z - (-3 + -3) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/24 - 2*f**3\/3 - 3*f**2. Give t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -6, 4 = r - 2*d - 0*d. Let z(i) = r*i - 3 - i - 6*i**2 + 3*i + 4*i**3 - 3*i**3. Calculate z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052136?\nAnswer: 2, 3, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*h + 62*h = 174*h - 418. Suppose 0 = -3*o - 9, -3*s + s - 2*o = -12. Let n = h + s. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -252? (a) 0.4 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5164 or -5521?\nAnswer: -5164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*10.051.\nAnswer: 1.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 6*t - 465. Let h = t + 2. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 4425282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, v: 6, p: 4}. Give prob of sequence gvv.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/728 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 44, 85, 1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 8*j + 36)*(-j + j - j**4) - 4*j**5 - 11*j**3 + 11*j**3 + (-j**2 - j**3 + j**2)*(4*j - 4*j + j**2) - 9*j**5 - 14*j**5 + 35*j**5.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1075*s**3 - 6*s**2 + 12*s - 6. Let d(r) = -45149*r**3 + 253*r**2 - 506*r + 253. Determine 6*d(y) + 253*m(y).\nAnswer: 1081*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 0 = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1713851.61 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(-19))\/m)\/m**(-2\/37))\/(m**(-32)*m**(-24)) assuming m is positive.\nAnswer: m**(2814\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47134065?\nAnswer: 3, 5, 11, 285661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.57 - 0.43. Let i = 47\/42 - 9\/7. Which is the smallest value? (a) -0.2 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 87. What is n(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3513 - -863. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goy when three letters picked without replacement from yzzoogoyzzo?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - f + 2*f + 4*f - 4*f + f - 4*f + 4*f - f + (-3 - 2 + 4)*(3*f + 3*f + 0*f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) 7\/4 (c) 5 (d) -7 (e) 19\/158\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 + -5.293. Let v = y - -0.022. Let m = v - -49.971. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 33*d**3 + 1114*d**2 + 1080*d.\nAnswer: -d*(d - 54)*(d + 1)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53 - (-2 + 0 + -2). Suppose -196 = -4*k - 5*j, -5*k = -2*j - 302 + t. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 148 = -f, 0 = 4*f + 2*s - 164 - 318. List the prime factors of f.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 76*h + 240 = 0. Calculate h.\nAnswer: 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6\/7)\/(l\/(l*l\/(l\/(l\/l**7)))*l)*((l*l**(1\/3)*l)\/l)**(-6\/13) assuming l is positive.\nAnswer: l**(-771\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(343) - (sqrt(343) - -1*sqrt(343)))*-5*5 + (0 + ((0 + sqrt(343))*-6 - sqrt(343)))*-6 + 4)**2.\nAnswer: -6048*sqrt(7) + 4000768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -820, -9, -195.\nAnswer: -820, -195, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-37 - 10) + 37\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (0 - 0))\/(3\/(-15)). Solve -t - 4*l + 1 = -3, 10 = g*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*-3*sqrt(45))\/(sqrt(144) + (sqrt(144) - -5*sqrt(144)) + sqrt(144)).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let t be (3\/(-12))\/((-15)\/20). Which is the nearest to o? (a) 2 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2721498 and 149\/591630?\nAnswer: 13607490","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 - 5*u - 3 + u**3 - 4*u + 4*u - u. Suppose -o = 2*z - 18, 2*o + 0 + 27 = 5*z. What is i(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18*a**2 + 2*a - 1. Let c be q(1). Let k = c + -16. Suppose -k*g + g + 3*s = 6, 0 = -4*g + 2*s - 4. Round g to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 28. Let w be x(-17). What is the smallest common multiple of 7 and (-63)\/14*(-68)\/w?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/(-2))\/(((-45)\/(-54))\/((-60)\/36)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 22814434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {f: 3, x: 2, c: 4, u: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*t + 120 = 0, 4*k + 253525 - 253340 = -3*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116058*t**2 + 39003*t wrt t?\nAnswer: 232116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17996034 is divided by 327.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbybebbyeybeeb. Give prob of sequence eb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 7*s + 19. Let z(v) = v**2 + 3*v + 10. Let c(b) = 4*k(b) - 7*z(b). Let f be c(3). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 6. Let o be j(3). Suppose o*s - s + 1887 = n, -5*n + 9495 = 5*s. Suppose 0 = 4*q + 12, -2*l - 3*q - n = -4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from ooososrsswoslsslols?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13574.9 + -13576.9. Let y be 1 + ((-25)\/4)\/5. Let a = -3.2 - 0.8. Sort a, -5, b, y in descending order.\nAnswer: y, b, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (195\/40)\/(-13) + 15798\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jlj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*z + 101 - 164, -5*y - 5 = 0. Calculate the remainder when 33 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -179, -164, -143?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1659*b**3 + 29*b**2 + 30*b**2 - 2*b**2 - 57*b**2.\nAnswer: -1659*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 6)*(-2*x + x + 2*x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*y = -30, -r - 5*y + 23 + 7 = 0. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*x - x. What is the common denominator of -1*(x + (-119)\/18) and 1\/(-10)*(-830)\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2800, -5763, -8726, -11689, -14652?\n\"Answer: -2963*o + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 - 460*u**3 + 616425*u**2 + 104927960*u - 105543920 = 0.\nAnswer: -236, 1, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3647 - -3687. Calculate the smallest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -10772\nAnswer: -1077.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149117*i**4 - 64*i**3 + 3*i**2 + 616144*i - 2 wrt i?\nAnswer: -3578808*i - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10\/7)\/o**(3\/8))**(-10\/11) assuming o is positive.\nAnswer: o**(505\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11213022 (base 5) to base 16\nAnswer: 18a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - z + 1563. Let y(w) = -2*w**2. Calculate g(y(t)).\nAnswer: 24*t**4 + 2*t**2 + 1563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 21. Let s be v(4). Suppose -s*q = -2 - 7, 0 = 2*u - 4*q - 4. What is the smallest common multiple of u and 15\/20 - (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 1\/8, -8\/31, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, 1 c, and 1 d when four letters picked without replacement from yvjvyvyejyyyyceyyd?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20*8062.89\nAnswer: -161257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqx when three letters picked without replacement from {c: 1, q: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12995519279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*sqrt(143)*-1 - 6*2*sqrt(143))\/(-6*(sqrt(11) - (sqrt(396)*1 + sqrt(396) - sqrt(11)))*6).\nAnswer: 17*sqrt(13)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -19179?\nAnswer: -19179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2016*s**2 - 3*s - 3. Let m be j(-2). Let l be (m - (0 + 0))*(-4 + -1). Suppose 14300 - l = -7*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 2512 = -1576. Solve 9*v - 1 = i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-9)\/2)*2. Suppose 21 + 34 = l*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610453 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 v be (-9)\/(36\/(-8)) - 0. Suppose -5*j - 41 + 216 = -v*r, 0 = 4*r. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 699*v**2 - 7276*v + 10824. Differentiate x(t) wrt t.\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101077 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 - 36715*m**3 - 2938568*m**2 + 782833*m + 3684690 = 0. Calculate m.\nAnswer: -9098, -81, -1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408847488 and 224.\nAnswer: 408847488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 850\/7. Let q = 10.36 - 12.36. Put q, -1\/8, h in ascending order.\nAnswer: q, h, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -20, -24, -30?\n\"Answer: -m**2 + m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213465804.\nAnswer: 2, 3, 17, 61553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.37, 10, -5, 0.6.\nAnswer: -5, -4, -1.37, 0.6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3 - 2*a**2 - 183*a - 180 = 0.\nAnswer: -12, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Let w = 73 + -40. What is the remainder when w is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.83 + 28.83. Let q = w - 28.0000152. Round q to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (63 - (-35 + -13)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2, -10, 0 in decreasing order.\nAnswer: 4, 1, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 0, 0.1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33.544623352 from 7.28.\nAnswer: -26.264623352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 31*a**2 + a - 20. Suppose -4*m + 279 = 5*m. Give y(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 375 - 372. Solve -4*i + 3*d + 10 = -0*d, g*i - 2 = 5*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m - 911 + 328 = 369 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68a19 (base 12) to base 14\nAnswer: 38ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/277000219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 35 = -3*v - 33, 3*v + 64 = -r. Let y be v\/30 - 8\/(-21). What is the closest to y in 4\/5, 2\/9, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/16 + (-10209)\/(-664). Solve -5*d + q = 5*r, 4*d - 2*r + 6 = 3*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3\/8, 215 in increasing order.\nAnswer: -3\/8, 11, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 68449.61 centimeters?\nAnswer: 684496.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12183517 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 66.9. Let s = d - -21. What is the closest to s in 3, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 2\/3 + 228\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 164*x - 1. Let p(r) = -10*r**2 - 495*r - 4. Give 2*p(w) - 7*s(w).\nAnswer: w**2 + 158*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*f + 35 = 2*m, -4*f = 2*m + 18. Let p = -7 - m. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 7 - (-145 + -2972).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 2*b - 4. Suppose -8 = -2*x - 3*w + 5*w, -5*w = 0. Let i(s) = -s**2 + s. Suppose 51*p + 86 - 46 - 91 = 0. Determine p*y(z) + x*i(z).\nAnswer: 2*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326628?\nAnswer: 2, 3, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -735 + 735 + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 44. Suppose t*x = 4*v - 6806, x + 1703 = 4*v - 3*v. Round v to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*s - 1067*s + 364*s - 59 + 417*s.\nAnswer: 139*s - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 236*t**2 + 249*t - 494. What is g(119)?\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -329701*t*y**3 + 6*t*y**2 + t*y + 724*y**2 wrt y.\nAnswer: -1978206*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 23*m - d + 20 = 0, -3*m = 7*d - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 9*a**2 + a + 13. Suppose 0*k - 10 = -2*b - 3*k, 2 = -b + 2*k. Let s = 10 + b. Calculate the remainder when i(9) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*v + 31*v + 86*v)*((-3 + 3 - 4)*(2*v + 2 - 2) - 3*v + 4*v - 5*v) as t*v**2 + k*v + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - -135. Let j = -0.0144 - -0.1144. Which is the second smallest value? (a) 0.5 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-11)\/(-11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 12 = 2*y. Suppose w = -5*u + 38, 0 = w - y*u - 20 - 18. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*g**4 + 651460*g**3 - 7*g**2 + 3*g + 135813 wrt g?\nAnswer: -1512*g + 3908760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 4*s - 8*s + 3 - 2176*s**2 - 6*s.\nAnswer: -2176*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -502.9384 - 0.2616. What is x rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.0312918 hours?\nAnswer: 0.001303825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4128161.\nAnswer: 17, 139, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -41?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 10 + 25 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 9*o**2 + 22*o + 27. Let n(x) = -3*x**3 + 19*x**2 + 43*x + 53. Let t(q) = 3*n(q) - 5*y(q). Let j be t(-10). Solve -2*f + 36 - j = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8983 - -8396.8. What is a rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*u - 12, 0 = s + 3*u - 12 - 0. Suppose f - 984 - 143 = s. Let o = -12437\/11 + f. Calculate the common denominator of o and -1\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*d - 60, 0 = -q - d + 5*d - 15. Let z be (-10)\/3*q\/10. Suppose -z*p + 108 = -247. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6559 - 6559. Solve 9 = 2*w - 5*p, a = 2*w + 10*p - 5*p + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2329191 divided by 57?\nAnswer: -40863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 31*r + 407. Let q(n) = n**2 - 99*n. Calculate q(h(t)).\nAnswer: 961*t**2 + 22165*t + 125356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1404*k**2 + 463 - 463.\nAnswer: -1404*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 3*n + 44. Let s(p) = 3*p**2 + 93*p + 163. Let u be s(-29). Is u <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 21*r = -4. Suppose 2*j + 2 = -5*b, 0 = 3*j + 4 - 1. Suppose -r*x + 2193 - 409 = b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -535022 and -0.3?\nAnswer: 160506.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 183 = -153*a. Suppose -4*w = 4*d - 56, -5 = -d + 4*w + 24. Solve 3*x + 19 = a*x - 4*j, 2*x = 3*j + d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 8, -6, -36, -88, -168?\n\"Answer: -p**3 + p**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 - 4*y - 49. Is z(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*p + 110*p = -7299009. What are the prime factors of p?\nAnswer: 3, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*b - 77*b = -112 - 80 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.2, 0.4, 2\/263 in decreasing order.\nAnswer: 0.4, 0.2, 2\/263, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190295, -190312, -190329, -190346, -190363, -190380?\nAnswer: -190397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-735)\/6*(-4)\/60*97\/(5044\/312)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -553841\/12 - -46141. Calculate the common denominator of 77\/5156 and z.\nAnswer: 15468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**3 + k + 3. Let t(o) = 17*o**3 + 2*o + 8. Let v(i) = -i**3 - 5*i**2 + 3*i - 10. Let l be v(-6). Give l*w(m) - 3*t(m).\nAnswer: -3*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000175127591 to 6 decimal places.\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3423 + 223 = -10*y. Calculate the greatest common divisor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 4.76?\nAnswer: 133.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 34*n**2 + 7*n - 237. Give b(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 2*q**2 + 3*q**2 - 6*q - 63 + 70. List the prime factors of g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 15*r + 11. Let q(z) = 3*z**2 + 15*z - 11. Let o(s) = 3*a(s) + 4*q(s). Is o(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 1530*q - 1531*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514.7 minus -0.190417?\nAnswer: -1514.509583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*q**2 + 6*q - 82 wrt q.\nAnswer: -140*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 404*d + 6090. Give u(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 771679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 116866575*q - 116866570.\nAnswer: -5*(q + 1)*(q + 23373314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85446 by 909.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 38 - 4 - (9 + (-18 - -7) - -8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*m - 17684 + 2780 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -18. Let t be x\/((-6)\/((-6)\/(-2))). What is the units digit of t - ((-41)\/1 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/34 and -5\/32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7046382 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**6\/72 - 17*x**5\/24 + 10*x**4\/3 + 14*x**3\/3 - 2*x - 214. Let q(s) be the third derivative of f(s). Factor q(v).\nAnswer: 5*(v - 16)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99339981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -3112, -9890, -22728, -43558, -74312, -116922, -173320?\nAnswer: -245438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(-5 + sqrt(320)*-1)**2*3.\nAnswer: -1038 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 24 + -29 + 13 + 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8\/3)\/(k\/k**14) assuming k is positive.\nAnswer: k**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34766 = -2*m - 487136. Let u = 476185 + m. Round u to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(4\/14*7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/8*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 3.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**6\/30 - 19*d**5\/10 - 27*d**4 - d**2\/2 + 292*d. What is the third derivative of p(h) wrt h?\nAnswer: -24*h - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6 = 4*b, 4*b = 4*d + 9 - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = 3*y. Let p(r) = r**2 - r. Calculate the remainder when p(2) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 4)*(-3 - 4 + 4) + (4 - 9 - 2)*(3 + 0 + 0))*(-d + 4*d + 2*d)*(-4 + 2 - 15).\nAnswer: 2550*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -414 (c) -0.1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*298001.\nAnswer: -506601.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 + -1)*1)\/(-3). Which is the nearest to d? (a) -0.1 (b) -2\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 5\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -t + 108, -5*t - 46 - 44 = z. Let k be (-12)\/7*z\/60*12. Which is smaller: 71\/2 or k?\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 10*a - 11. Let y(s) = -7*s**2 - 1. Let p be y(1). Let v be b(p). Suppose 4*u - 3 - v = 0. Solve 5 = 5*j - 5*c, -j + 4*j - u*c = 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.3 and 0.045?\nAnswer: 4.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(-2)\/(-4)*(-8)\/(-8). Suppose 0 = 2*t + 3*t + 4*w + 16, 2*w = 5*t - 8. Suppose 10 = -t*m + 2*m. Solve f*r = m*d - 4 - 6, -3*r = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -50, 76, 4 in descending order.\nAnswer: 76, 4, 3, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*v + 2643, 3*o + 5*v - 7*v = 3967. What is the greatest common divisor of o and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2*v**3 - 13*v + 1 + 2*v**2 + v**4 + 24*v in the form t*v + a*v**2 + f*v**3 + o*v**4 + b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.076 (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9258, -18499, -27738, -36975, -46210, -55443, -64674?\n\"Answer: w**2 - 9244*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + p + 52 = 0, 7 = 2*p + 3. Let d = -102 + 167. Calculate the remainder when d is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c. Let s(w) be the third derivative of -37*w**4\/24 + 14*w**2 + 2*w. Calculate m(s(h)).\nAnswer: 148*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69902920 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:34 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -645400.999925 - -645394. Let z = h + 7. What is z rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/(33\/(-264)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))**(-2\/91)\/(o*o*o\/(o**0*o))**34 assuming o is positive.\nAnswer: o**(-6192\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110609959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + x**2 - 1. Let t be a(-1). Let o be (0 - 1)*(-4 - (-24)\/8). Let c be 2*o*(7 + -2 + t). Solve -3*b + 24 = c*f - 0*b, -5*f = -2*b - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*w + 2)*(-2*w**3 + 3*w**3 + w**3) + 2*w**4 + 0*w**4 - 6*w**4.\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 0 - -2) + (-11 - -17) + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52592892 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18492\/9 - 54\/81?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 + 3*i - 2. Let v be h(0). What is the third biggest value in 1, v, -494, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 - 9 = 0. Suppose 0 = 2*t + 3*t. Suppose 3 = 5*l - 2. Sort t, a, l in ascending order.\nAnswer: a, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1370, -2766, -6558, -13946, -26130, -44310, -69686?\nAnswer: -103458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11917 = -753*f - 2725 - 20749 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.003009 + 0.062429.\nAnswer: 0.05942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/29 (b) 1\/2 (c) -0.2 (d) 109\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2482 divide 6675640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 39, 88, 157, 246, 355?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k. Let u(y) = y - 1. Let i(o) = o + 1. Let d(t) = i(t) + u(t). What is j(d(r))?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 + -58 - (26 + -2)) + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 - 135*n - 1190 = 0. What is n?\nAnswer: -7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38294.\nAnswer: 2, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 938 = -1850. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 5*s**3 + 0*s**3)*(-3*s + 0*s + 5*s + 3*s - 3*s - s + (4 - 2 - 4)*(0 + 0 - s) + 4 - 4 + s + 0 - s + 0 + 5*s + 2*s - s).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.8 + -450.2. Let g = u + 464. Which is the third smallest value? (a) 4 (b) 0.26 (c) -2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3028730209722.000028 - 3028715817529. Let o = 14392225 - l. Let m = o + -32. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28104813.\nAnswer: 3, 11, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 60769*x + 364646. Give j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = 2*m + 5*a - 128, -5*a - 1670 = -4*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 - q - 6. Let s be v(-5). Let o be s\/(-2 - (-10)\/6). Let d = 48 + -33. What is the greatest common divisor of d and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-328)\/(-12)*6 - -4. Calculate the highest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45861 and 4818.\nAnswer: 73652766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 5*g**2 - 4*g + 5. Suppose -3*q - 1 = 3*h - 7, -22 = -5*q + h. Let v = 4 + 1. Let p(a) = -a**3 + 4*a**2 + 3*a - 4. What is q*j(x) + v*p(x)?\nAnswer: -x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1022*m**5 - m**4*o - 2*m**3 + 2*m*o - 2*m + 3*o + 881 wrt m?\nAnswer: 20440*m**3 - 12*m**2*o - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(11) - (-1 + sqrt(11)))*-5)**2 + -5.\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -55*o + 22. Is m(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l**2 - 10*l**2 + 2 + 10*l**3 - 3*l - 10*l**2 + 36*l**2 to the form a + g*l**2 + u*l + o*l**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 117?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 3, -39, -99?\n\"Answer: -9*w**2 + 3*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1*((-77)\/7)\/1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + -1 + 0.\nAnswer: -1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980.3591 micrometers to centimeters.\nAnswer: 0.09803591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 16 + 779066*p**2 - 779066*p**2 - 7*p**3 in the form u*p**2 + x*p**4 + m + s*p**3 + i*p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*k**5 - 2717*k**4 + 407*k**3 + 3319*k**2 - 1261*k - 602 = 0.\nAnswer: -1, -2\/7, 1, 301\/122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 9. Find the common denominator of -61\/20 and -2 - (c\/16 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*g**3\/9 + 968*g**2 - 17528*g\/9.\nAnswer: 2*g*(g - 2)*(13*g + 4382)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13705997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104469, -105166, -105879, -106614, -107377, -108174?\nAnswer: -109011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r - 1\/12*r**4 + 0 + 8*r**2 + 0*r**3. Let n(u) = -u. Give j(n(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001120 (base 3) in base 9?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/11, -4\/5, 8, -1\/2, 0.3, -1\/3?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31\/5 + 2\/15. Calculate the common denominator of v and 2\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9564659.2 - 9564661.49999835. Let a = c - -2.3. What is a rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -20*v**2 + 6*v + 12. Let j(t) = -43*t**2 + 13*t + 26. Let i(w) = -6*j(w) + 13*m(w). Let h(z) = 53*z**2. Determine i(h(q)).\nAnswer: -5618*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(2016) - sqrt(2016) - (sqrt(1134) + sqrt(1134)*-1))\/(6*(sqrt(242) + -4*((sqrt(242) - (sqrt(242) + 2*sqrt(242))) + sqrt(242)))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 9*j**2 - 5 + 3*j.\nAnswer: -3*j*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15175 (base 9) to base 3.\nAnswer: 112012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20869*q*v**4 + 57*q*v**3 - 3*q*v + 7643*q - 7*v wrt v?\nAnswer: 250428*q*v**2 + 342*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3308, -3308, -3324, -3368, -3452, -3588, -3788, -4064?\n\"Answer: -2*v**3 + 4*v**2 + 2*v - 3312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f**14*f)\/f)\/(f\/f**20)*(((f*f*f**(-2\/9)*f*f*f)\/f)\/f)\/(f**(-11\/3)\/f*f*f))**(-2\/13) assuming f is positive.\nAnswer: f**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - s**2 + 1. Let d be (27\/(-12))\/((-12)\/16). Let y be (-53 - -50)*1\/d. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028364 to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*k - d - 24, -d = -5*k + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 37*w + 18*w + 115*w. Let d be z(32). Let c be (4\/(-18))\/(40\/(-12)). Is c <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 63. Let r be a(-10). What is the third derivative of 31 - 26*w**4 - 4*w**4 + r*w**4 - 32 - 67*w**2 - 20*w**4 wrt w?\nAnswer: -888*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d + 2*v, 2*d + v - 1 = -0*d. Suppose d*w + 0*w = 8. Suppose -s + 25 = w*m - 9*m, 2*m = -8. Let n(g) = g**2 - 7*g - 2. Give n(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 0 - (-1 - 4). Suppose 6*s - k*s - h = 1494, -1484 = -2*s - 4*h. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k + 2*k**2 + 27*k - 21*k.\nAnswer: 2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -16 - 1 - (-2 - (-18 - -12)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2515.60262 to the nearest integer.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {r: 4, j: 6, l: 4}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.98 - -9. Let q = c - 6.02. Is -2\/5 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 29 = -3*m, 4 = -2*m - 2*g - 0*g. Suppose -28*w - 523 = -4*y - 23*w, 3*y = -m*w + 399. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - (4485\/312)\/((-665)\/(-84)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {l: 5, b: 5, r: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*-1 + 62\/7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/3*n**4 + 4*n + 4\/3*n**2 - 4*n**3 = 0 for n.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(sqrt(143)\/(sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(3)))) - sqrt(416)\/sqrt(2)))**2.\nAnswer: 84*sqrt(13) + 5797\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*r - 9, -3*r - z = 12 - 1. Let g be r*(-3 - 6\/(-9)). Solve -9 - 1 = 2*n + 2*y, 3*y + g = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -2\/135 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33472, -33465, -33444, -33403, -33336?\n\"Answer: o**3 + o**2 - 3*o - 33471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26722?\nAnswer: 2, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 2:20 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39412, -39561, -39710?\nAnswer: -39859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0995 + -0.07653. Round p to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 1, d: 3, z: 4}. What is prob of sequence zzdd?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooycygoyddcyyddyy. Give prob of picking 1 d and 1 g.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let x = 54 - 30. Let k be -4*3*(-4)\/x. Let i(f) = 2*f**2 - 2*f**k - f**2. Give i(n(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 = -4*v, -3*v - 68 = -83185*l + 83178*l - 8 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.3561496 rounded to 3 decimal places?\nAnswer: 92.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 83679287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 317994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000000111 - 10?\nAnswer: 111000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - (6*(sqrt(128) - (sqrt(128) - (3*sqrt(128) - sqrt(128))**2)) - sqrt(128)) - (4*sqrt(128))**2*2.\nAnswer: -7168 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 15 = 3*d. Let i be ((-16)\/32)\/(3\/(-18)). Solve 3*w + i = -2*y - y, 0 = -2*w + y - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 4*i**3 - 3*i**3 + (3*i**3 + 3*i**3 - 4*i**3)*(3 - 3 + 2) - 2*i**3 + 2*i**3 - i**3 - 4 + 4 + 16*i**3)*(-5 + 1 - 3)*(0*i + 5*i - 3*i).\nAnswer: -252*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1997 + 2001. Let p(i) = i**2 + 6*i - 3. Let j be p(-6). Sort j, -23, h, -5.\nAnswer: -23, -5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 95854, 95857, 95860, 95863, 95866, 95869?\n\"Answer: 3*q + 95851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -13 + 17 + 119 + -84?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7192, -15468, -23744, -32020?\nAnswer: -40296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12996 to the nearest 100.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-320)\/2*(-48)\/(-40). Let k be (d\/30)\/(2\/(-65)). What is k rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42481339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486492, 1945925, 4378312, 7783653?\nAnswer: 12161948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 2*x + 4. Let l(z) = 3*z**2 + z - 5. Let w(m) = 4*h(m) + 3*l(m). Let u be w(4). Let r = u - -5. Solve -r*y = i, -i - 2 = -3*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/492755 and 13\/14595.\nAnswer: 10347855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.19 + -0.29. Let f = l + -19. What is f rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 119 = 11. Let x be (25\/5 - -2) + 1. Let w(k) = -k**3 + 11*k**2 - 11*k - 3. Calculate the remainder when w(x) is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 28358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-5*sqrt(216)*1*3)\/(-4*-3*sqrt(60)\/(sqrt(15)\/sqrt(3))))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = -14. Suppose 2*f = -5*c + 25, a*c + 2*f = -2*f + 29. Suppose 8*v - 4*v - 164 = -4*t, 181 = 5*t - c*v. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*t - 19 = -3, 2*t = -f - 6. Let p(m) = -2*m**2 + 1 + 168*m - 502*m + m**2 + 167*m + 169*m. Determine p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -299*(16\/(-1040))\/((-4)\/(-60)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjzjjzjjjz. Give prob of picking 3 j.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(242) - (sqrt(242) + -2*sqrt(242))) + sqrt(242) - sqrt(242)).\nAnswer: sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9 = 3*n + 35, -18 = -4*o + n. Suppose -d = -o + 2. Solve 4*w + 12 = -d*v, 2*w - 3*w - 2*v = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 1. Let r(z) = 163*z - 17. Give 8*h(m) + r(m).\nAnswer: 139*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**3\/2 - 3*k**2\/2 + 4*k. Let m(b) = 7*b + 4. Let o be m(-3). Let r(f) = -f + 1. Determine o*r(t) - 6*i(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/75 and 68\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 55*m - 6786. Let i be u(124). Suppose 5*l + h + 46 - 192 = 0, -l = 5*h - 34. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113665.\nAnswer: 5, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 87, 3, -0.8, -5, -414\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -4*j - 5*r, j + 0*j - 23 = r. Suppose j*x = -16*x + 1200. Let i(d) = -d**3 + 9*d**2 - 5*d - 4. Calculate the remainder when i(7) is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 e when four letters picked without replacement from eooowewwwwowo?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68873 rounded to 2 decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 31*n - 48 = 5*c, -4*c - 5*c - 20 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -1729*u**5\/5 + 2887*u + 3368. Differentiate n(f) wrt f.\nAnswer: -6916*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67636 - 0?\nAnswer: -67636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -36838 and -36838 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r + 4*l, r - 4*l = 0. Suppose r = -4*o - 20, -q + o + 8 = -0. Let v = 3 + 3. Solve -q*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12 - 11 - 4*a**2 + 3*a**2. Let s(q) = -258*q - 78. Let d(c) = 119*c + 36. Let y(z) = 13*d(z) + 6*s(z). Give y(n(j)).\nAnswer: j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + u + 9. Let f(m) = -m**3 + 11*m**2 + m - 15. Let r be f(11). Let z(w) = 2*w**2 + 2*w + 8. Let d(g) = r*c(g) + 5*z(g). Solve d(l) = 0 for l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuuuhhuhuhh. Give prob of picking 1 u and 2 h.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/12 - 15*z\/4 + 175\/6 = 0.\nAnswer: 10, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -122. Which is the closest to 0.4? (a) -0.2 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -6) + -6 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-15)*2*40\/48.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o**2)*(-29*o + 8*o - 4*o) - 4*o**3 - 2*o**3 - o**3.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-69))\/((-70)\/(-24) - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - u + 34 = 0, -4*z + 9*u = 5*u + 40 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -572, 52 in descending order.\nAnswer: 52, 5, 4, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (-139)\/(-3) + 65\/4485*-161.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 3. Let i(r) = -2*r. Let o be i(k). Suppose o = -5*s + 21. Solve 6*w + 15 = s*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8326663 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -35*r**2 + 3*r + 1. Let k be i(-1). Let o = -19 - k. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 9, 6, 3, 0, -3?\n\"Answer: -3*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f619a (base 16) to base 10.\nAnswer: -3105178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04765 + 60.93585. Let u = -61 + w. Round u to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*i - 2*i - 21 = 0, -4*b + 56 = 4*i. Suppose 0*z = -4*z - 5*f - 34, 5*f + 4 = z. Let k = b + z. Calculate the highest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -6, 9, 5, -4 in ascending order.\nAnswer: -28, -6, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, d: 7, t: 5}. What is prob of sequence bd?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*n + 20. Suppose -4*i = 27 - n. Let m be 12\/8*4\/i. Let j(c) = -c**3 + 1. Let l(w) = -8*w**3 + w + 5. Determine m*l(v) + 6*j(v).\nAnswer: 2*v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 129*b**3 - 51*b**3 + 27 - 54*b**3.\nAnswer: 24*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.789996452 - 29.79. What is u rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-224*w**4 - 219*w**4 + 75*w**3 + 6 + 441*w**4)*(2 + 3 + 1) in the form f*w**4 + l + t*w**3 + m*w + a*w**2 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -13. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) -571 (c) -310\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, e: 2, c: 4, t: 2, m: 1, a: 4}. What is prob of sequence tc?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (5 + 4) - 1 - (-4 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:21 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114744 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 19194343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/177666 and -74\/633.\nAnswer: 37487526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 28. Let s(c) = -4*c**3 - 4*c**2 - 6*c - 9. Let w(l) = -7*l**3 - 9*l**2 - 12*l - 18. Let y(t) = -5*s(t) + 3*w(t). Is y(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315501 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 346494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73417550?\nAnswer: 2, 5, 71, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/15 + 7802*l**2\/3 + 1407878*l\/5.\nAnswer: 2*l*(l + 9643)*(2*l + 219)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10 - (-66 + 81)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddiddidd. What is prob of picking 2 d and 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4569884909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23385 = -5*m - 0*m + 5*q, -2*q + 4686 = m. 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: Which is the closest to 30? (a) 5 (b) -19 (c) 0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o + 34. Let r = 75 + -21. Let q = -50 + r. Does 9 divide m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568420.7g to tonnes.\nAnswer: 0.5684207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 27, -14, -125, -330, -653?\n\"Answer: -4*w**3 + w**2 + 30*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 476?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15749717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 256444 (base 7) in base 9?\nAnswer: 72637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Suppose 0 = -2*g + 323 - 311. Suppose -o = -4*u + 7, g*u - u = 3*o. Determine j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + (1 - -1) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/13, 3\/79, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-1625*q + 3160*q - 1214*q).\nAnswer: -321*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 676, 1642, 3206, 5668, 9328, 14486, 21442, 30496?\n\"Answer: 50*r**3 - r**2 + 619*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/36962 and -65\/1194.\nAnswer: 22066314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x - 8*x + 4 + 0*x. Let v be f(2). Let k = v - -31. What is the closest to 4 in k, -5\/4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6310907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54969203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*c - 72 = -628*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1954 + -46889\/24. Find the common denominator of b and -151\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.802 + -9.80200039181. What is h rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2110976 and 768.\nAnswer: 6332928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12598 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 154\/37?\nAnswer: 154\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 41. Calculate the remainder when l is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/53 or 0.071523?\nAnswer: 0.071523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)*r**(-3\/2)*(r*r**7*r)**12 assuming r is positive.\nAnswer: r**(177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f - 38*f**4 - 14*f + 7*f + (-16*f**2 - 23*f**2 + 16*f**2)*(-f**2 + 5 - 5).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o - 4*o**2 + 0 + 0*o**3 + 1\/8*o**4. Let h(t) = 2*t. Calculate v(h(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*w = 13, 19 = 3*n - 27*w + 28*w. Let x(q) = -13*q**3 - 4*q**2. Let y(r) = -6*r**3 - 2*r**2. What is n*y(u) - 3*x(u)?\nAnswer: -3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1161*p**3*q**2 - p**3*q + p**2*q - 4807*q**2 - 1 wrt p?\nAnswer: 6966*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 135, 179, 237, 315, 419, 555, 729?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(88)*-3)\/sqrt(8))**2 + (3*sqrt(176))**2 + sqrt(176) + sqrt(11).\nAnswer: 5*sqrt(11) + 1685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.9 + -0.1. Let b = 18.02 + i. Let g = b + -2.62. What is g rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -244403565?\nAnswer: -244403563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.978 - -16.068. Let j = -14.7 + -0.3. Let o = j + t. Round o to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/10*(-50)\/(-60)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083975, 4167874, 6251773, 8335672, 10419571, 12503470?\nAnswer: 14587369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.01 and -0.5.\nAnswer: -0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55330 + -55329. Let f(w) = -4*w**3 - 2*w**2 - 5*w + 5. Let i(v) be the second derivative of -v**5\/20 - v**3\/6 + v**2\/2 - 2*v. Determine s*f(a) - 5*i(a).\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/15 and -1\/1041.\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -18.6. Let c = 1.59999928 - j. Round c to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmannmamrnmmmmra. Give prob of sequence mram.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16e996e + 4a?\nAnswer: 16e99b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/54 and -5\/33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387929 is divided by 34860?\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - f**2 + (1 + 3 - 5)*(f**2 - f**2 + 6*f**2) + 3*f + f**2 - 3*f + 1 in the form q*f + o*f**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 492063.4 millimeters?\nAnswer: 492063400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 4, z: 2, c: 3, d: 1}. Give prob of sequence accj.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4.92. Let n = -0.132 - j. Round n to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2382.306ug to nanograms.\nAnswer: 2382306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnnn when four letters picked without replacement from {v: 1, n: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -470727 less than or equal to -470726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*o**4 + 7*h**3*o - 115*h*o**2 - 7*o**4 - 43*o**3 - 69 wrt o.\nAnswer: -48*h**3*o - 168*o - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 436.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 510*j**3 - 14375*j**2.\nAnswer: 5*j**2*(j - 125)*(j + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/5 - 202*j**3\/15 - 746*j**2\/5 - 2834*j\/5 - 4732\/15 = 0.\nAnswer: -13, -7, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-168)\/15)\/4 - -3)*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673 is divided by 1521.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*l = -39, -4*o + 77*l = 78*l - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1311531\/5 + 262308. Factor 8\/5 + x*b + 1\/5*b**2.\nAnswer: (b + 1)*(b + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-4) - 7)\/1. Let v(l) = 7*l + 1. Let y(d) = -6*d - 1. What is b*y(g) - 4*v(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-20)\/(-12) + (-10)\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211205 to the power of 1\/2, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*t**4 + 0 - 2\/5*t**3 - 12\/5*t**2 + 0*t.\nAnswer: 2*t**2*(t - 3)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004213528 rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + -110110?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15328477.5838 - 15350140.2. Let s = -21678.61619888 - q. Let d = s - -16. Round d to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -4.2. What is the closest to -2\/5 in w, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojmqubom. What is prob of picking 1 q and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*h - 19 + 52, 5*h + 4*r - 40 = 0. Find the second derivative of -47*z + 770*z**4 + 880*z**h - 1723*z**4 wrt z.\nAnswer: -876*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*((q*(q\/q**(1\/27)*q)\/q*q)\/q)\/q*q)\/q**8)\/(q\/(q\/q**(1\/10)))**(-15))**(-32) assuming q is positive.\nAnswer: q**(3056\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -4\/9, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l + 12. Let m be (7 + l)\/1 + 25. Which is greater: 29 or m?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649273 = 13129*s - 72822 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*k - 4*j, 186*k - 188*k + j - 10 = 0. Suppose 3*l - 6 = 2*l. Solve -d + k = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 17*r - 55. Suppose z = 4*u - 1396 - 3419, -u + 1191 = r*z. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = 3*q - 6*o, 2757 - 2596 = -q - 0*q + 3*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -27*b**3 - 5*b**2 - 3*b + 5. Let s be h(4). Let y = 2966 + s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - j = 3*w - 25, w - j + 1 = 0. Solve -10*m = -12*m + w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2879 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*v - 4 - 3*v + 6*v.\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.96 + 30. Let q = -0.109 + y. Let w = -0.068941 - q. Round w to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/11 or -1\/98?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -18.868. Let b = w + -1.362. Round b to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/69 and ((-29)\/6)\/1*2.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*g - 14, 2*p + 5*g = g. Let x be p - -2 - (4 - 2). Let m = 7 + x. Solve -m*v = -v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 4 + 3*h - 1\/2*h**2. Calculate m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 22 + 11\/42*j**7 - j + 0*j**4 + 0*j**5 + 0*j**2 + 0*j**6 - 7\/3*j**3. Find the second derivative of k(i) wrt i.\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164011 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4048 greater than -4049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547 = 19*p + 3516 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1536 and 128.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37 - (-2 + -1)*1. Let c = w - 20. What is the least common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -270 + 309. What is the lowest common multiple of 30 and l?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 7*w - 5*o + 385, -800 = -2*w + 5*o. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/((-18)\/(-162810)*-27)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1422 = 21*x - 19893. Calculate the greatest common factor of x and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2015 + 2032. Which is the closest to i? (a) 3 (b) 2\/7 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -321 + (8 + -5)*2\/3. Let c = h - -619. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.1?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:33 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/885)\/((-2)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**4 + b + 2*b**3 + 3 - 3*b**4 + 0*b**4 to the form j*b**4 + n + w*b + i*b**2 + m*b**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/38 - (1864\/(-16) + (-6)\/2). Calculate the highest common divisor of 396 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 5\/2)\/(2\/24). Let c(x) = -x**4 - x**3 - x + 1. Let r(v) = -9*v**4 + 6*v**3 - 15*v**2 - 36*v + 18. Let i(o) = z*c(o) + r(o). Factor i(p).\nAnswer: 3*p*(p - 1)*(p + 3)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -958 + 1a37?\nAnswer: 10bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - m + 1)*(-13 - 8 - 12)*(2 - 2 + m + m - 2*m - m + (-1 - m + 1)*(1 - 1 + 2) + m - m + m) to z*m + q*m**2 + a and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x - 3*x**3 + 0*x**3)*(-163*x**2 - 65*x**2 + 14*x**2 + 413*x**2).\nAnswer: -597*x**5 + 597*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - 25 - (1 + 56) - 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7445.7396 rounded to the nearest 10?\nAnswer: -7450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 44, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-108)\/10)\/((84\/30)\/(-7)). Let k be (0 - -6)\/(4\/6). Calculate the highest common divisor of k and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-21 - (-3658)\/174).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 15) to base 8.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/147? (a) -4\/7 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 99\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Let l be 6\/1 + (p - 2). Suppose 0 = -l*f - 3*u + 188, 3*f = 5*f + u - 76. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1653? (a) 0.4 (b) -12 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.06 + -18.94. Which is the closest to 1? (a) 0.3 (b) 6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18594, 37199, 55806, 74415?\n\"Answer: a**2 + 18602*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -4 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.026 and 17.\nAnswer: -0.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from pkkwppppppkwwpww?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/15 + 7*l**4\/24 - l**3\/3 + 2. Let o(r) be the third derivative of k(r). Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - 2*(sqrt(228)\/sqrt(6) - sqrt(38)))\/(5*sqrt(50)))**2.\nAnswer: 19\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-1 - (sqrt(45) + (sqrt(45) + 0)**2)) + -6*(sqrt(320) + (sqrt(320) - (sqrt(320) + 1))**2).\nAnswer: -56*sqrt(5) - 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.0156, 3\/5, 591 in increasing order.\nAnswer: -0.3, -0.0156, 3\/5, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -655a634 (base 11) in base 15?\nAnswer: -1028d69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + c**3 + c**3)*(3 + 43 - 12 + (0 - 5 + 3)*(4 - 4 - 2)).\nAnswer: -76*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8395011*j**3 - 64713*j**2 - 35*j wrt j?\nAnswer: -50370066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = 0, 24 = -4*w - 2*i + 2. What is the units digit of 5\/(5\/39) + w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4, 0*d + 48 = 4*d - 4*q. Suppose -t - 3*t = 44. Let k be (-2)\/d + (-2)\/t. Solve m + 2 = -k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/752793 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93005 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606 greater than or equal to 1610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/54*(-12)\/(-16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27672 or -27710?\nAnswer: -27672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s**5 + 1344098*s**4\/3 - 72080902*s**3\/3 + 323727130*s**2 - 1533384*s - 16592040 = 0. What is s?\nAnswer: -2\/9, 3\/13, 27, 5690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 2*z + 1. Let t be a(1). Let c = -231 - -237. Solve -24 = -v - 2*v - 3*f, 3*v - t*f = -c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 - 438*a**4 + 12822*a**3 - 10236*a**2 - 60705*a - 37206 = 0. Calculate a.\nAnswer: -1, 3, 39, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3895597.\nAnswer: 3895597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*f + 813 = -1014 + 261 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4 = 7*r, -4*k = -2*r - 162. Suppose 5*l - 2*h - h = 42, -4*h = -5*l + k. Calculate the smallest common multiple of 7 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*6\/(-570) - 1*78\/(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 18*a + 17. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + 10 + -7 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t. What is z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*q + 1402 - 1402)*(-3 + 6 - 1).\nAnswer: -240*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-23) - (-18)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*o + 7*o**3 + 40*o)*(2 + 0 - 3) + o**3 + 0*o**3 - 3*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*b - 527*b - 10*b**2 + 271*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 3:51 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 40070139, -1\/10, 2 in descending order.\nAnswer: 40070139, 2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -43 and 3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + -5)**2*6 - (-5 + sqrt(315)\/sqrt(252)).\nAnswer: -1297*sqrt(5)\/2 + 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 32 = y, -7*y + 3*q - 120 = -224 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -32432 smaller than -32432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960503?\nAnswer: 3, 653501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51415402 to the power of 1\/2, to the nearest integer?\nAnswer: 7170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from sbbbsbbsbbb.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428551539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 469*z**2 - 65. Let m(h) = 626*h**2 - 86. Determine 13*c(w) - 10*m(w).\nAnswer: -163*w**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let t(h) = -4*h + 3. Let n(z) = -2*o(z) + t(z). Let q be -5 + 12 - 2\/1. What is n(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1 - 6*t + 2*t - 23. Let u be (-6)\/(-24) + ((-41)\/4)\/1. What is the units digit of l(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.09006 (c) -1\/15 (d) -10\/9 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -151985776, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 49)*(-3 + 1)*-1?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137085819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4023 + 14120.\nAnswer: 18143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 1\/30*n**5 + 5\/24*n**4 - 1\/120*n**6 - 1\/3*n**3 + 0*n - n**2 + 0. Let p = -1470 - -1474. Calculate l(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + 14*f**3\/3 - 31*f**2\/2 + 313*f - 7. What is l(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9265ba (base 13) to base 5\nAnswer: 1333203224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126822 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 32*s - 30. Let q be v(15). Solve 3 = 2*h + 2*t - t, q = -4*h + t + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose -m = -c - 0*h - h, c - h = 2. Let r = c - 0. Solve -7*x + r*x = -20, -v - 3*x + 7 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/646092 and 32\/8905.\nAnswer: 41995980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-12)*(1 - 21). Suppose -17 = 4*h + i - 3, -h + 3*i + 3 = 0. Sort h, y, -1 in descending order.\nAnswer: y, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2. Let x(m) be the first derivative of 69*m**2 - 3151. Give x(d(i)).\nAnswer: -690*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/3095 and -101\/560.\nAnswer: 346640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 206870 divided by -31?\nAnswer: -206870\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 958774237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 + 2 + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2692 - -11292. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805757531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2089 = -3*n + 3*l, 0 = -3*l - 15. List the prime factors of n.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n*p**3 + 1015*n*p**2 + 30*n + 11 wrt p?\nAnswer: 3*n*p**2 + 2030*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Let q(t) = 11*t**3 + 3*t**2 - 1 + 3*t - 4*t**2 - w*t**2. Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95196.\nAnswer: 2, 3, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -172, -278, -674, -1504, -2912, -5042, -8038?\nAnswer: -12044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j = 37*j + 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4) - (33229\/(-28) - 4). Suppose 0*s + 5*s - c = -5*t, -3*t + 2*s + 689 = 0. What are the prime factors of t?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 3*o - 72, -1601*o + 1602*o = -13*j - 11 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydlmyydyddpddphlhpy. Give prob of sequence md.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2163*y**3 - 189*y**2 + 189*y - 189. Let n(d) be the first derivative of 23*d**4\/4 - 2*d**3\/3 + d**2 - 2*d - 5458. What is -4*i(h) + 378*n(h)?\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/5940*-36*10\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 32931.1 days?\nAnswer: 2845247040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 13*a. Let z(s) = 2*s**2 + s. Let q be z(-1). Determine h(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-29)\/q)\/(q\/(q\/((q*(q**(-21)*q)\/q)\/q)))*q*q\/(q**(-19)*q*q)*q**(-1\/4) assuming q is positive.\nAnswer: q**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 19*n - 26*n = 2900 + 4944 for n.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 4*m + 2. Let b be c(-3). Suppose 0*j + 5*j - 8735 = 5*z, b*j - 1763 = z. What are the prime factors of (2\/(-3))\/(14\/z)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*c - 589*c - 21451 + 21451.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-40986)\/810 - (-116)\/(-290)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100743239 and 788.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g + 4*d - 11, 0 = 5*g + 4*d - 29. Suppose 3*x - g = -2*w + 15, 3*w - 5*x = -2. What is the second smallest value in -5, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2\/5 + 8*j + 64\/5 = 0. What is j?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034015.\nAnswer: 5, 206803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 + 187. Calculate the greatest common divisor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.331262, -1\/17, 5\/6 in descending order.\nAnswer: 5\/6, 0.331262, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 + -1.5. Suppose -m - 4*h = 3, -m + 0*m + h = 3. What is the third biggest value in m, 9, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 3, -15, -0.09, 25 in descending order.\nAnswer: 25, 3, 0, -0.09, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248346803*g**3 + 61711627*g**2?\nAnswer: -1490080818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1514, -1311, -1130, -983, -882, -839, -866?\n\"Answer: -2*z**3 + z**2 + 214*z - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1 - -5)*1. Find the second derivative of -r + l*r - 2*r**4 + 0*r - 2*r wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (5 + -4))\/((-2)\/(-11)). Solve 3*i = 19 - b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163 - -2156?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170.4 + -169.5. Put l, -1.5, 0.4, 3 in decreasing order.\nAnswer: 3, l, 0.4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13734375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k + 2711*k - 8666 = 133*k + 160741 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-15) - -2)*(52 - 58)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 9. Let z(o) = 11*o - 19. Let d be (-5)\/20 + 34\/8. Let v(b) = d*z(b) + 9*n(b). Is 6 a factor of v(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 20 - 2 = 0. Let f be (-90)\/(-4) + (-1 - 5\/x). Suppose -3*g = -2*y + f, 2*g = 2*y - 13 - 11. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j + 60. Let i be s(-14). Suppose 2*k + 7 = -3, 0 = -i*u - 5*k + 1863. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*h + 3*b, 35*h - 33*h + 4*b = 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -2\/13 (b) -19\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -90*z + 688. Calculate h(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 513311.9 rounded to the nearest one thousand?\nAnswer: 513000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 42. Let i be 14\/56*(-4)\/o. Factor 2\/5 + i*t**5 + 6\/5*t**4 + 9\/5*t + 14\/5*t**3 + 16\/5*t**2.\nAnswer: (t + 1)**4*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -1.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide -2 - -7 - (-550 - 0\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2. Let w(x) = 9*x + 4. Let b(i) = 10*i + 6. Let d(n) = 2*b(n) - 3*w(n). What is d(r(u))?\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -862.\nAnswer: -862, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 13) to base 4.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 2*i**3 - 2*i)*(1669*i + 1714*i - 771*i - 105*i) in the form b*i + o*i**2 + g*i**3 + u*i**4 + a and give u.\nAnswer: 5014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -9433e?\nAnswer: 94350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 + 8 - -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.3 (c) 2\/175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/3 + 12142*l**2 - 115994824*l\/3 + 38652800 = 0. What is l?\nAnswer: 1, 4112, 14100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 45*q - 163. Calculate d(41).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27746.855 * -11.\nAnswer: 305215.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2 of a meter in millimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -402573582.185.\nAnswer: -402573576.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 1.91 (c) 2.688\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(1 - 2)\/2. Suppose r = 5*j - 4*q - 45, -4*j + q - 2*q = -15. Which is the second smallest value? (a) 2\/7 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -12.06?\nAnswer: -12.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/8)\/(10\/(-40)). Let z be (-12)\/k + 14\/(-7). Put 2, -0.5, z in increasing order.\nAnswer: -0.5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -0.037, -4, -0.3.\nAnswer: -4, -0.3, -0.037, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14112 (base 7) to base 11.\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21377764 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.241*-0.92946\nAnswer: 0.22399986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 525*b + 2*b**2 - 938*b + 413*b. Let p(l) = 7810*l**2. Determine p(o(s)).\nAnswer: 31240*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + g + 20 = 0, 107*s = 98*s - 3*g + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 11*j - 13. Let o be z(-6). Suppose q - o = -1. Suppose -u + 3*c = -1, -5*u = -3*u + c - q. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*v + 0 = -7, -5*v - 14 = -2*h. Let k = h - 4. What is the closest to -1\/2 in -2, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = 2*l. Calculate the remainder when 88 is divided by (-5 - -8)\/(l\/40).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.57 - 0.27. What is the third smallest value in 2\/39, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -16, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - -2.41. Let j = 23\/3 - 8. Is j at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -28*z + 106. Let j be p(5). Which is the nearest to 0.2? (a) -4 (b) 1 (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d**3 + 2*d - d**3 + 2*d**3 + 5*d**3 + (-4*d**2 + 4*d**2 - d**2)*(2*d - 2 + 2) + 3*d**3 - 2*d**3 - 2*d**3 - 2*d**3 - 4*d**3 - 2*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(2\/220). Let o = 123 + z. Suppose 4*j + 3*a = o, a + 38 = 4*j - 30. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 32*n = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-9)*-120*(-47)\/(-752).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 505 + 141 = 0. Let p(k) = -45 + 2*k + 95 + 4*k - o. Let g(i) = i. Determine 4*g(y) - p(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/120 - o**5\/20 + o**4\/8 - o**3\/6 - 2*o**2 - 210*o. What is i(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 5*j + 2*j)*(0 - 7 - 15).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/6 - a**3\/3 - 11*a**2\/2 + 4*a. Is d(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -898 + 818 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.046 - 25.954. Let d = 24.9 + h. Let r = 0.6 + d. Which is the third smallest value? (a) -0.4 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/259 and 7\/164 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 = -v, -6*g = 2*v - g - 46. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 3\/652 (b) -3 (c) -1 (d) -0.3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 1, a: 4, c: 4}. What is prob of picking 2 y and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 38 - l + 21 - 12*l**2 in the form m*l + o + n*l**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 294817 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4 - 7*z**3 - z**2 + 7*z = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j + 28 + 5*j + 8*j - 22*j. Calculate the remainder when 103 is divided by f(24).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, -2 in increasing order.\nAnswer: -26, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5502500 (base 6) in base 11?\nAnswer: -176a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384953786160*r**2 - 384953786172*r**2 - 2 + 2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*c**2 - 204*c**2 + 26*c**2 in the form m*c + r + d*c**2 and give d.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 427074, -7 in descending order.\nAnswer: 427074, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-60)\/56 + 3\/21. Let z be 4\/g + (3 - -13). Suppose u = z + 26. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 12. Suppose f = 4*d + 3*h, -3*d = -h - 38 + 10. What is the greatest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -506541 or -506543?\nAnswer: -506543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1522 by -2.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/375)\/(1\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**5\/20 - o**4\/2 + 2*o**3\/3 + 7*o**2\/2 + o. Let p = -5 - -10. What is q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(-2*sqrt(405))**2 + sqrt(405) + sqrt(405)) + 1 + -4.\nAnswer: -18*sqrt(5) + 3237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 + 3*v + 1. Let z be f(-2). Let p = z - -3. Solve 0 = 4*l - 0*o + 3*o + 9, 0 = -5*l - 2*o - p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17161.8489 minutes to weeks.\nAnswer: 1.702564375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-2\/23)*(u\/(u**(-1\/4)*u))**(2\/7)*(u**(-1)\/u)**(-23)\/(u**5\/(((((u\/u**3)\/u)\/u*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(34873\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b - b + 3*b - 6*b - 38*b + 6*b + (4 - 11 - 4)*(0*b - 3*b + 5*b) + (0*b + 4*b - 3*b)*(-3 + 1 + 3).\nAnswer: -61*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -1411, -5130, -12531, -24880, -43443?\nAnswer: -69486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9846 + 1.2846. Let z = -3 - -7. What is the nearest to -1 in n, z, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 6*34\/17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - 4187906?\nAnswer: -4187862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*5\/300)\/((-120)\/(-192))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -19 + 14 + 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 2911*o - 26043. Calculate q(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*q - 2*b, -3*b + 11 = q - 1. Solve -2*z - 25 = q*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294*d**2 + 7*d + 7.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:04 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**2*r**3 - g**2*r*w + g**2*r + g*r**3*w + 16*g*w + 34*r**3 - 2*w wrt r?\nAnswer: 36*g**2*r + 6*g*r*w + 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 2\/3 (c) 8.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-36))\/((-12)\/(-288)*-15)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -25*n + 20. Let m(s) = -s + 1. Give -20*m(r) + v(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/21 + 2\/(-7). Let p = 5 + -9. Let x be -3*(u - p\/(-2)). Solve w - 3*w + 10 = 2*s, -10 = -x*s - 2*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4324236\/(-58))\/(-3) + (312\/(-377))\/(-12)?\nAnswer: 2, 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -613*x**2 + 7096*x - 25. Let m(k) = 607*k**2 - 7098*k + 30. Let n(u) = -6*c(u) - 5*m(u). What is the second derivative of n(w) wrt w?\nAnswer: 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225026.\nAnswer: 2, 59, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -5*g**4\/24 + 5*g**3\/6 + 2*g**2. Let j be y(-7). Let r = j + 19. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-20))\/(9\/150). Let j be 4\/(-10) - 18\/p. What is the second smallest value in -1\/4, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 2*s**2 + 0*s**2)*(3*s + 2*s - 6*s)*(6 - 1 - 2) in the form b*s + i*s**3 + z*s**2 + y and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 - 11*s**3 + 18*s + 1 + 7*s**3 to t + l*s + d*s**3 + j*s**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-10)\/(-4)*33\/(16005\/(-2813))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/85020 and -19\/936.\nAnswer: 510120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300003200 (base 4) in base 3?\nAnswer: -212022121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 - (20 - 59) - -65?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 2465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b*l**3 + 93*b*l**2 - 2*b + 381 wrt l.\nAnswer: 21*b*l**2 + 186*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*j**3 - 838*a + 11642*j**2 + 130 wrt j?\nAnswer: -6*a*j**2 + 23284*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.000023 + 40. Round f to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 6. What is the units digit of z(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p + 10. Give i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from {i: 2, z: 2, f: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 6*g**2 + 9*g + 14. Let p be a(-7). Let n = -2048 - -2050. Solve p = 3*t + n*x - 4, t - 4 = -2*x - 0*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705569?\nAnswer: 2705569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 8475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-21591)\/(-10848))\/((-6)\/216). Let r be 235\/339 + (-2)\/3. Let s = v - r. Is s smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(33)\/sqrt(11)) + (sqrt(60) - sqrt(960)*6))\/((1*sqrt(588)*-5 + sqrt(588) - sqrt(588))*-4).\nAnswer: -11*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768.45 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/5, 0.1, 0.139, -2\/355, -3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56800 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:09 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**5 - 10*c**4 + 55*c**3 + 20*c**2 - 140*c + 80 = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17731 (base 10) to base 3.\nAnswer: -220022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -3, 11723.\nAnswer: -3, -2, 4, 5, 11723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 5)*6\/(-1). Let y(h) be the second derivative of h**4\/12 - h**3\/3 - h**2 + 28*h. Let i be y(5). Solve 5*t + i = -q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) 1 (b) -2\/7 (c) -5 (d) -2 (e) -2\/31 (f) -3188\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6928\/(-12))\/((-6)\/9)?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111425 (base 7) in base 14?\nAnswer: -38115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 107*g + 49. Determine x(36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5011381+382.63\nAnswer: 382.1288619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*o*o)\/o**(1\/4) assuming o is positive.\nAnswer: o**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 0*b - 4555*b**3 + 1958*b**3 - 2*b**2.\nAnswer: -2597*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1771067 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.19 - -25. Let i = -31.01 + 31. Let z = i + n. Which is the second biggest value? (a) -5 (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5\/6, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8 + 3*s**2 - 2*s**2 + 6*s**2 - 5*s + s**3 - 2*s**2. What are the prime factors of h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114731, -114732, -114733, -114734?\nAnswer: -114735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 14*t - 7*t)*(t**3 - 3 + 3) as a*t**2 + i*t + y*t**3 + l + j*t**4 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:20 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66\/12)\/((-1)\/(-2)). Let a = 12 + w. Let b = a - 14. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 630?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from zwyrn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.04, -2\/9, -3.8, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5399852 micrograms?\nAnswer: 0.0000000000005399852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let y(i) = -4*i**3 - 1. Let z(h) = -3*h - 10. Let u be z(-3). Give u*y(f) + l(f).\nAnswer: 4*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5466, 10940, 16416, 21894?\nAnswer: 27374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (3 - 1)*(-143)\/110.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**4 + 13*q**4 - q**2 - 4*q + q**3 + 1 + 14*q**4 + 3*q - 4*q**4 to l*q**4 + i*q**2 + o + v*q + y*q**3 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*163695\nAnswer: 16369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*c + 4*y, 0*c - c - 3*y = -9. Suppose 59*k - 58*k + 304 = 5*i, -3*i - 2*k = -172. What is the lowest common multiple of i and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 19*k - 30. Suppose 14*s - 72 = -k. Suppose -3*t + 0*t = -27. Put s, -1, t in descending order.\nAnswer: t, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11613 + 11612.9. Suppose 0 = 3*x - 96 - 111. Let b = x + -179. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 4*l**7\/21 + l**3\/3 + 29*l. Find the second derivative of u(p) wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181016*g**2 + 157919*g**2 - 67373*g**2 + 218565*g**2.\nAnswer: 490127*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1 + (60\/(-8))\/(66\/(-36))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 14, 16, 18, 20, 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/4*(-2 + -1 - 2). What is the third derivative of -12*r**6 + 354*r**5 - 354*r**h + 8*r**2 wrt r?\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -507737033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h - 160. Let p = 8371 - 8402. Determine x(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 34. Suppose -90 - 166 = -t*l. Let i = 52 - l. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/13 or 5\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**2 + 0*q**5 + 0*q**4 + 0*q + 20 + 4\/3*q**6 + 0*q**3. Find the second derivative of h(j) wrt j.\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 585.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15118126 to the nearest integer?\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1, 3, 1\/3, 3.9, 50, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*l - 134*l + 20 + l**4 - 87*l to the form r*l**2 + d + b*l**4 + p*l + c*l**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.9 + -15. Suppose -5 = 3*x - 8*x. Let u be 1 + x + (-7)\/3. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*f**4 + 2*f + 5 - 13*f**2 - 7 + 19*f**2 + 171*f**4 + 9*f**3 in the form g*f**4 + k*f**2 + l + d*f + i*f**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022122 (base 4) to base 3.\nAnswer: -20112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77451111 divided by -3?\nAnswer: 25817037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-96)\/(-54) + 3892\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liafq. Give prob of sequence qa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 13*q + 450. What is the highest common factor of q and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 3*c**3 + 0*c**3 + (-4 + 13 + 2)*(3*c**3 - 3*c**3 + 2*c**3) to s*c**2 + x*c + w + t*c**3 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 - g + 13. Calculate the remainder when 23 is divided by d(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1\/3 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 14, -13, -46, -85?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*i - 0*i. Let c be (-3)\/(-12) + (-262)\/(-8). Calculate the highest common divisor of c and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 45. Let l be (1 - 2)*(-3 + a). Let x = l + -27. Calculate the smallest common multiple of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2011\/6 - -866\/3. Find the common denominator of 7\/22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -108, -229, -396, -609?\n\"Answer: -23*g**2 - 6*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 1:40 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 + 2)\/(3*1\/(-2)). Solve 26 = -2*j + p*m, -m - 4 = -j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -639*n**2*p**2 + 2*n**2*p + 23*n**2 - 2*n + p**2 - 136 with respect to p.\nAnswer: -1278*n**2*p + 2*n**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1607\/43700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 1, -1.6, 1.1, 0.093, -0.5, 7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, -12, -11 in descending order.\nAnswer: 0, -2, -3, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.0212 (b) 8.1 (c) 3 (d) -3\/2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**3 + 10*v**2 + 4*v - 10. Let z = 7 + -9. Let m(u) = -3*u**3 - 3*u**2 - u + 3. Let g be 1\/1 - (1 + 7). Let c(i) = g*m(i) + z*n(i). Factor c(o).\nAnswer: (o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -1 - -2)\/((-11)\/(-132)). Does 16 divide 176273\/102 + -1 + 20\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) 319 (d) 1\/134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158 in -2, 2\/7, 1\/113?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 3*y, 97*r - 102*r + 5 = -5*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 250819362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -x - 176, 5*c - 224 + 24 = -5*x. Let t = c + -13. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6172864 - 0?\nAnswer: -6172864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 + 12713275*u\/4 + 38139807\/2 = 0. Calculate u.\nAnswer: -12713269, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 412789 (base 13) in base 14?\nAnswer: 2b7a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*m**4 - 18172*m**3 - 7292*m**2 + 18172*m + 7272 = 0. What is m?\nAnswer: -1, -2\/5, 1, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 61\/4*a**2 + 0 + 29\/4*a**3 + 31\/4*a - 1\/4*a**4 = 0?\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 305444, 304973, 304498, 304019?\n\"Answer: -2*c**2 - 465*c + 305911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -81\/32645 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvfufvqvufuq. What is prob of picking 2 q and 1 f?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10080 - -52567198\/5215. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 2, j: 4, p: 6}. What is prob of picking 1 q and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - 0 - -10*(0 - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 303854544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.5 + 15. Let s = 93 + -88. Let q = 59\/204 + -2\/51. Sort q, k, s.\nAnswer: k, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Let y(x) = 1 - 1 + 9*x**2 - 8*x**p. What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(13728\/110916)*((-6)\/15)\/(9\/(-5)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 1126121677.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zccc when four letters picked without replacement from {c: 4, z: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkykkykkkk. What is prob of picking 3 k?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*q - 269\/4 + 1\/4*q**2.\nAnswer: (q - 269)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*-2*2 - sqrt(216)) + sqrt(216) + sqrt(216))*4)\/(sqrt(6)\/(sqrt(50) - sqrt(2)) - sqrt(825)\/sqrt(11)).\nAnswer: 288*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-380)\/570)\/(948\/(-72) + 14)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*g - 4*y, 4*y + 109 - 65 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 * 25930\nAnswer: -4408.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (861\/574)\/((-1)\/(-10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 3. Let q be u(3). Find the common denominator of 67\/14 and (143\/33)\/(20\/q).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k + 5. Determine a(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 33*n**2\/5 - 78*n\/5.\nAnswer: 3*n*(n - 2)*(n + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 1. Let q(g) = 5*g - 1. Let c(d) = -q(d) + 6*t(d). Give c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/24 - 17*b**2 - 1. Let w(j) = 264*j. Give n(w(o)).\nAnswer: -264*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 162382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84)\/(-21)*(-258845)\/40*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -188. Suppose 4*u - 3*a = 20 - 17, -22 = 4*u + x*a. Let w(y) = y**3 + 4*y**2 - 3. Give w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -20, 3\/4.\nAnswer: -20, 0.2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681138218 to the nearest integer?\nAnswer: 26099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 222600 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*r - 3136 - 12881 = 0 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2\/4 + 175*q\/4 + 185\/2 = 0. Calculate q.\nAnswer: -2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 0) - (2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -928 + 217 + 321 - 2*g + (-3 + 6 - 2)*(-3*g - g + 2*g).\nAnswer: -4*g - 390","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84955?\nAnswer: 5, 13, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24469604 - -13823458. Let i = 148438 - 3894584. Let w = i - h. Round w to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 20*z**2 - 147*z - 473. Determine i(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h - 18. Let d(o) = o**3 + 9*o**2 - 20. Let g be d(-9). Let j = h - g. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*w + 4. Put 1, w, 0 in decreasing order.\nAnswer: 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 6948*b + 22150694 = 0?\nAnswer: -2017, 5491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-224)*1\/(-5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (2 - 2))*4. Let a be h\/12 - 2\/12. Let g(x) = x**3 + 19*x**2 - 3*x - 60. Let s be g(-19). What is the third smallest value in s, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/28 and 111\/3022586?\nAnswer: 6045172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5662*w**2 - 1465*w**2 - 692*w**2.\nAnswer: -7819*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5 + -231411207.26.\nAnswer: -231411198.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (-63 - -55).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 2)\/(-3)*1. Let s(v) = -2*v - 1. Let b(z) = z**3 - 3*z**2 + 3*z - 3. Let y be b(2). Let t(u) = 2*u + 1 - u - 2*u. What is f*t(m) + y*s(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15001831 is divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181078, -180556, -180034, -179512?\nAnswer: -178990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -754 (b) -3\/4 (c) 4 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruybrtr. Give prob of picking 1 b and 2 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 8*j**2 + 2. Let r be o(8). Let h = r - 14. Let d be (-2)\/(h\/8 - -1). Let w(a) = a - 6. Calculate w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -17 - (21 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8419?\nAnswer: 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 - 4 = 0. Suppose -12 = -j*l + 88. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 16. Let j be (-2)\/(-4)*(6 - z). Suppose -11*o + 6*o = 0. Which is the nearest to j? (a) -2 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*d + 550*d + 1056 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/((-6)\/((-23)\/((-299)\/(-78)))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -883 - -2647\/3. Which is smaller: l or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12088472524\/3069 - 3938896. Let y = d + -2\/341. Which is the closest to y? (a) -1\/2 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3)\/(-7))\/3 + 72189\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.17.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -625.997 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 767, -3\/107, 0.01?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286606, 1143863, 2572626, 4572895?\nAnswer: 7144670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858401608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a - 8. Let k be o(-6). Suppose -3*m + 5*n + 12 = 0, m + 5*n - 12 = -2*m. Suppose -d + k = m*g, 2*d - 2*g + 0 = 2. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 0.3655?\nAnswer: 7.3655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -464, -1528, -3524, -6734, -11440, -17924?\nAnswer: -26468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65851.43 millilitres to litres.\nAnswer: 65.85143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -672 (base 12) to base 11\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -10000222200022220?\nAnswer: -10000222200022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122021 - 10?\nAnswer: -1122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(70) + ((-2*sqrt(70) - sqrt(70)) + sqrt(70) + sqrt(70))*-4)\/(sqrt(1210) + 5*(1*sqrt(1210) + sqrt(1210))))**2.\nAnswer: 448\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 261847234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 128. Let u(c) = 2*c**2 + 113*c - 102. Calculate u(q(k)).\nAnswer: 8*k**4 - 798*k**2 + 18202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1204*d**2 + 1073*d**2 + 126*d**2 + 1123*d**2 + 83*d**2. Let j(l) = 2*l. What is j(n(p))?\nAnswer: 7218*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - j + 2*j)*(-391 + 128 - 355) to the form p*j + k and give p.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-35)\/(-14)) + 4. What is the nearest to -2 in d, 12, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/11, 3\/49, -1.1, 7, 3\/19?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8193223 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5*n + 3. Let q be d(4). Let u be q\/(-14)*(-4)\/11. Which is the second biggest value? (a) 2\/5 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2 + 21\/14). What is the tens digit of ((-3516)\/(-3))\/((-1 - o)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 257 + 256 - 3*c to the form y*c + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r - 637 = 42*r. Suppose 4*s - 1883 = 273. What is the highest common divisor of r and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n - n)*(-3*n + n + 4*n + 2*n - 3*n + 3*n + (-3 - n + 3)*(-6 + 2 + 2) - 3*n + 21 - 21).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -10. Let g be (-4)\/(1*(-1)\/s). Let y(m) = -m - 1. Let p(i) = 2*i + 3. Determine g*y(k) + 3*p(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**5*m**(-8)\/m*m)\/(m*m*m\/m**(-4)*m*m**(-1\/2)*m) assuming m is positive.\nAnswer: m**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -943 (base 12) to base 7.\nAnswer: -3633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989461.\nAnswer: 11, 293, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -2.45.\nAnswer: -7.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufnuwffnguu. Give prob of picking 1 g, 1 n, 1 u, and 1 f.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036382 rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395254.94 rounded to the nearest 100?\nAnswer: 1395300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5616434 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310470932 is divided by 5487.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99583452 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 58.33.\nAnswer: 699.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by -74.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 divided by -372?\nAnswer: -127\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8099325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w - 4. Let b be c(5). Suppose 5*j = j + b. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 26*r**2 - r + 1. Let p = 17 + -16. What is the units digit of q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294802 - 205516. Suppose -4*b = 3*c - u - 3107, 0 = -5*b - c + 115494. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 36. Suppose 6*x - x + i = 0, 2*x = -4*f - 14. Let t be (36\/14)\/(f\/(-14)). What is the highest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -20. Sort a, 0, 5.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.9 - 26.4. Let w = 0.2 - -0.1. What is the smallest value in 6, w, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.355121 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20713625*m + 10356805*m + 10356820*m + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51534 and 297?\nAnswer: 1700622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/13 (b) -4 (c) -0.5 (d) 0.083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(7\/10 + (-16)\/(-20)). Suppose q = 3*u - 4, 2*q - 5*q + 12 = 3*u. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7137 + 7136. Sort -2.4, -50\/11, i in descending order.\nAnswer: i, -2.4, -50\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*i**4 + 456 wrt i.\nAnswer: -652*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13788.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32 and 0.6?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289929 is divided by 526?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r\/(r\/r**(-1))))\/r)\/r)**46 assuming r is positive.\nAnswer: r**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1. Let p(j) = 4 + 3*j + j - 3*j. Determine 12*k(t) + 3*p(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 121\nAnswer: 3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12941 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:45 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -905 and 9?\nAnswer: -8145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34430775 divided by -1377231?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 19*j - 6 = 0, 5*d - 5 = -5*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*g + 24. Let j be 3 - (-1)\/((-2)\/g). Suppose -4*b - 12 = j, 0 = 5*m - 0*m + b - 12. Does m = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2564, 5127, 7690?\nAnswer: 10253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -110*a - 27. Let i(c) = -87*c - 26. Let n(w) = -10*i(w) + 8*j(w). Give n(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*12\/18*12\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-462)*(21 - -1))\/(-3 - 317\/(-105))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 214*u**2 + 342*u - 65. Is l(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w + 2*w)*((-3*w + 3*w - 2*w)*(-6 + 0 + 0) + 0 + 0 - 3*w).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 194969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/35)\/((-136)\/510)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1010 - 537. Is 43 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 209363.\nAnswer: 1256178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142*(20\/(-8))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1))\/(x**(-1)*x))\/(x**5*x**8) assuming x is positive.\nAnswer: x**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*l + 16, 0 = -8085*l + 8086*l - 0*v + 3*v - 4 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1784, -32, 1\/5, -16 in decreasing order.\nAnswer: 4, 1\/5, -16, -32, -1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3 = 3*d. Let m(t) = -t + 0 - 2 - d. Let z(i) = i + 4. Determine -6*m(h) - 4*z(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350 (base 7) to base 2.\nAnswer: 10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v**2 + 7*v + 1. Let o(s) = 133*s**2 - s. Let n(r) = -8*r**2. Let m(h) = -51*n(h) - 3*o(h). What is -7*m(y) + 3*u(y)?\nAnswer: -6*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*m + 294*m + 243 - 26*m.\nAnswer: 457*m + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 104, 230, 406, 632, 908?\n\"Answer: 25*x**2 + x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-4) - 2\/(-8). Suppose -p - 9 = 4*b, -4*p - 96*b = -97*b + 19. Sort p, u, 8, -3.\nAnswer: p, -3, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.292 + 9.572. What is the closest to -0.6 in -3\/2, -2\/3, 5, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365771.\nAnswer: 7, 52253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 152830.9566 nanoseconds?\nAnswer: 0.0000000002526966875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8536680 by -20620.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-140)\/25*(-35)\/14. Let w = 5.9 + -6. What is the nearest to w in -2\/19, -1, o?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 7}. What is prob of picking 2 n and 1 q?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - (80 - (108 - -2)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-235625)\/28275*(-636)\/50.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-10)\/(-11) - 1). Suppose a + 1 = c. Suppose i = 6*i - a. Solve -4*p - 2*x = -12, 5*x = i*p + 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h + 2*h**2 + 1 + 3*h**2 - 5 + h**3. Let y be d(-6). Which is the nearest to -2? (a) 4 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)**(-1\/2)\/(c\/c**0)**(-9))**23 assuming c is positive.\nAnswer: c**(391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k**3 + 4\/3*k - 2\/3*k**4 + 2*k**2 + 0 = 0. Calculate k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13530 and 495?\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 704548.3kg?\nAnswer: 704.5483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 1, x: 1, o: 1, t: 2, p: 1}. Give prob of picking 1 p, 1 x, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/2 + 9305*g**2 + 186025*g\/2 + 232500 = 0. What is g?\nAnswer: -18600, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d = -108. Let u be 81\/2*8\/6. What is the highest common divisor of u and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.065? (a) 0.026 (b) -6\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2453 - 4?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14087 a factor of 10702820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*i + 520806 - 707954 = 650777. Calculate the smallest common multiple of i and 1925.\nAnswer: 21175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -278 (b) -86 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -23 - (12 + 2 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2160 and 117936?\nAnswer: 589680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + -18 + -1 + 215. Suppose -1435 = -10*q + m. List the prime factors of q.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 5*b)*(2*b - 2*b - 2*b**2) - b**3 + 2*b**2 - 2*b**3 + 2*b + 4*b**3.\nAnswer: 9*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 99 = 9*z. Suppose 11*l = 12*l - z. Solve l = 5*j + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u + 4*u. Suppose 5*a - g - 25 = u, 5*a + 4*g - 1 - 49 = 0. Let y be (-1 + 10\/a)*(-3)\/(-2). What is the nearest to 6 in -1, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 603569*v**3 + 731339?\nAnswer: 1810707*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.858139 days to weeks.\nAnswer: 1.836877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 41 = -2*s. Suppose s = 4*j + 9. Solve 5*z - 5 = 5*v, 2*z + 6 = -j*z - v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5\/9 + 3250*t**4\/9 + 26053*t**3\/9 + 35846*t**2\/9 - 8684*t\/3 - 4344 = 0.\nAnswer: -6, -2, -1, 1, 3258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 30\/7, -1.2, 0, 1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 460708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dudddrzerdzzzdduzd. What is prob of sequence rzz?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319 - -549. Let b = -145 + n. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-90)\/(-21) - (-12)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:15 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48784.\nAnswer: 2, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 12. Let x be s(-14). Let b = 9 - x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316401538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/17400 and 57\/3190.\nAnswer: 191400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 9*n + 6. Let f be -10*(-3 + 4 - 0). Let u be t(f). Let y be ((-12)\/(-14))\/(14\/49). What is the nearest to 1 in u, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 21. Let f(y) be the third derivative of -y**6\/120 + 3*y**5\/20 - y**4\/4 + 5*y**3\/3 - 372*y**2 + 7*y. What is f(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 2. Let x(o) = 53622*o - 19860. Determine 9930*i(b) + x(b).\nAnswer: 3972*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-261*j**2 + 405*j**2 - 245*j**2)*(0*j**2 - 2*j**2 + 0*j**2) - j**2 + j**2 + 2*j**4 in the form f*j**3 + q*j**2 + m*j + l + k*j**4 and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -37) + (-4 - -11) + 25 + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -6. Let b = n + 6. Solve -y - 3*r + 2 - 3 = b, 3*y - 4*r - 23 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-11)\/(-9) - 94\/423?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 2632106*l - 31585304\/3.\nAnswer: 2*(l - 3948163)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 42*n**2. Let w(k) = -5*k**2 - 5540*k. Calculate w(y(c)).\nAnswer: -8820*c**4 - 232680*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 15. Suppose 3*v = -4*m - 4 + 2, -c*v - 2*m = 22. Let t(d) = d**3 + 6*d**2 + d + 4. Determine t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61160 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = -0. Let n be ((-5)\/(-1))\/10*-8. Put 0.5, h, 1, n in decreasing order.\nAnswer: h, 1, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100.43 + -99.705. Does -3 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 757 + -738. Which is the biggest value? (a) 0.1 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 16 - 2 = v, -h - 4*v = -12. Suppose -h*o + 15684 = -0*o. Let g = -31271\/8 + o. Find the common denominator of 21\/2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 11240*b**2 + 2*b**4 - 5*b + 11238*b**2 + 3 - b**3 in the form o*b**2 + a*b + x + y*b**3 + c*b**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16103077.\nAnswer: 3797, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132469 is divided by 11332?\nAnswer: 7817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 - 175*m**3 + 1695*m**2 - 385*m - 41140 = 0. Calculate m.\nAnswer: -4, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 11:50 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 788.6 * -0.103.\nAnswer: -81.2258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133322, 533324, 1199994, 2133332, 3333338, 4800012, 6533354?\nAnswer: 8533364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4432 divided by -1\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100013313 - 2?\nAnswer: -100013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 3*x + (-x - 4*x + 2*x)*(20 + 21 + 9) + 2 + x - 2 + 6*x - x + x as f*x + k and give f.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 722*s + 55. Let m(i) = -241*i - 16. Determine -7*m(r) - 2*z(r).\nAnswer: 243*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 15) to base 12\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 3\/13, 11, 1, -4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -119*r + 956. Determine p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*y)*(891 + 268 + 3589 + 1041) to r*y + w and give r.\nAnswer: -11578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z**2 - 4*z + 4. Let t = -12 + 15. Let v be r(t). Let m = 34 + v. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-24)*(-6)\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3091 * -143.6\nAnswer: 44.38676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2053*h + 14 = n + 2056*h, 2*n - 5*h + 27 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5745931?\nAnswer: -4\/5745931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -944*n**2 - 2526*n + 2526*n + (1 + 1 - 3)*(2*n - 2*n - n**2) - 2*n**2 - 5*n**2 + 3*n**2.\nAnswer: -947*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 20, 49, 84, 125?\n\"Answer: 3*k**2 + 14*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 46\/6. Solve o = 3*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 7*j**2\/3 - 7*j\/3 - 2\/3.\nAnswer: -(j + 1)*(j + 2)*(2*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 0 (c) 98.3 (d) -0.064\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q. Let w(k) = -9*k**2 + 26*k - 14*k + 8*k - 21*k + 45*k**2. Give r(w(g)).\nAnswer: -324*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 bigger than -19088.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 3*c**2 + 5*c**2 + (5*c - 4*c + 0*c)*(6*c - 2*c - 2*c) + 2*c**2 - 2 + 2 + (-3*c - c + 3*c + (0 - 6 + 4)*(-c - 1 + 1))*(-10 - 2*c - 22 - 21).\nAnswer: c**2 - 53*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2\/2 - c + 24. Let o(w) = w**2 - 2*w - 11. Let t be o(9). Let i = -46 + t. Give b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let x(w) = w**2 + 2*w. Let n be x(o). Suppose 3*p - u - 2 = 0, p + 0*p + 8 = -4*u. Is n at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428515 - -86131244\/201. Let j = 1\/67 + r. What is the common denominator of j and (1 - 44)\/(-7 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g + 0 - 2 - 3 - 5*g**2. Let u be k(5). Let n be (-1 + 3\/5)*u. Solve -3*w + 3 = -3*t, -9 = n*w + 5*t - 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + 5 + 3 + sqrt(162) + -3.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5017 + 181?\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 - 3*l - 5. Let b be r(-2). Suppose 2*v = v - 2. Sort v, b, -3 in descending order.\nAnswer: b, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91351 - 39210. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 3. Suppose 4*o + 2*u - 36 = u, o = -4*u - 6. Let h be (0 + 0)*o\/20. Give a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/517 and -53\/646344?\nAnswer: 7109784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965522700 divided by 1983.\nAnswer: -486900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 565*s - 558*s - 518. Solve 46 + s = -20*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41712.6856 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/9 - (5 - 1). Suppose -5*a = -70 + 10. Suppose -20*f + 16*f = a. Sort -2.2, f, j in descending order.\nAnswer: j, -2.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-33)\/(-14790)) - (-8)\/(-44). Suppose -37*f + l = -35*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 78\/45*(-3015)\/(-402). What is the highest common divisor of b and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.5 - -1.11.\nAnswer: 10.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 + 1551*m. Let r(q) = 3*q. Give r(l(b)).\nAnswer: 39*b**2 + 4653*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-2 - 36\/(-15)). Let c(x) = -10*x**2 - 2*x**2 + x**u. Let h(b) = b**2. Calculate h(c(y)).\nAnswer: 121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 90. What is the highest common divisor of l and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109b (base 13) in base 2?\nAnswer: 100100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 4) to base 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-55)*(-5643)\/(-4617)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 2\/241, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14021\/117 - 1070\/9. What is the common denominator of m and -40\/129?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1*-1*1. Let b = 132.497 - 131.2. Let j = -0.297 + b. Put 0.5, a, j in decreasing order.\nAnswer: j, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7173 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: Simplify sqrt(28)\/sqrt(4)*6 + sqrt(49)\/sqrt(63) - (-3*(sqrt(700) - (sqrt(700) + -2) - sqrt(700)))**2.\nAnswer: -6336 + 1099*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 14 = -2*y. Solve 0 = -2*n + 2*t - 2, n = -t - y - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 l when three letters picked without replacement from {l: 4, h: 3, z: 5}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 842804140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from sshzs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 10. Let v be z(-8). Let a = v - -3. Suppose 3*p + a - 19 = 0. Calculate the highest common divisor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 25 = -3*r, 15 = -5*r + 3*u + 2*u. Let g = -2 - r. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u = -7*u + 2492 - 422 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/860 and 51\/16340?\nAnswer: 16340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = 5*f + 4*l, -2*f - 1 = -l. Let g(t) = -23*t - 1. Let p be g(f). Is p - (0 + -2 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*-1*-4 - (0 + ((sqrt(432)*-1)**2 - sqrt(432))).\nAnswer: -432 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:27 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*(-1776 + 9). Suppose 4*q + 5*u - 271 = v, q = u + 360. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330446 = -8*s + 6*s + 36*s. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(-5) + (-15)\/25. Suppose 0 = 4*l - s*p - 96, 5*p = -15 - 10. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18406 is divided by 170.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200 - 1262 = -13*d - 2631 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (4 - -2) - -5 - -4. Suppose 39*f - 2*f - m*f = 0. Suppose -3*a + 8 - 2 = 0. Solve 4*i + 5 = t, t + a = -3*i - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:55 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from kkttxkgtxkkxktkwwtk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -24*h + 25*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 17, -111 in decreasing order.\nAnswer: 17, 0, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7441.9 rounded to the nearest one hundred?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8 and 13\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q - 4*s = 108, -76 = -2*q + 4*s. Let x = q + -48. Put x, 2, -4 in ascending order.\nAnswer: x, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a factor of 393876144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -112 and -108 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2925 and 3631875?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4336 - -4676. Calculate the remainder when r is divided by 165.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 16*a + 441 = 0. Let i be 2\/(-8)*12\/a. Is 0 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30977850.\nAnswer: 2, 3, 5, 206519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 82?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -61\/27 (b) 1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 7*a - 5*a)*(-4*a + 4*a - a)*(-1 - 2 + 10) + 4*a**2 + 3*a**2 - 5*a**2 + (a - 2*a + 2*a)*(a + 0*a - 2*a).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 2. Let k(s) = -s + 1. Determine 3*k(c) - m(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 891 - 877. Suppose 10*g - i*g + n = -36629, -g = 5*n - 9152. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*b**2 + 0*b - 1\/4*b**5 - 1\/4*b**4 + 0 + 0*b**3 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7147779.6999981 + -7147781. Let a = 1.3 + x. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1412 at most as big as -26834\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 14 - (-16 - 114). Solve 45*i + o = 16*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2057) + 2 + (sqrt(2057) - (sqrt(2057) + 2 - sqrt(2057))))*6 + (sqrt(2057) - (sqrt(2057) + 0)**2*-4 - 4*sqrt(2057)*2).\nAnswer: 55*sqrt(17) + 8227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejejejjeejjjj. What is prob of picking 2 e and 2 j?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*(f\/(f**4*f))\/f*(((f**1*f)\/f*f)\/f)**41 assuming f is positive.\nAnswer: f**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325 and 9165?\nAnswer: 45825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 620272*v + 4962171. Calculate w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1503369\/58 - 25919. What is the common denominator of (8\/(-16))\/(12\/130) and t?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906447 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1801485 and 60515?\nAnswer: 23419305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 39*a**3 - 9*a**2 + 9. Let n(z) = -z**3 - z**2 + 1. Calculate -9*n(m) + v(m).\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -205, -159, -83, 23, 159?\n\"Answer: 15*v**2 + v - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 92 = 2*c + 4*o, -3*c - o + 133 = 0. Let l(j) = -8*j**3 - 22*j**2 + 22. Let f(r) = -r**3 - 3*r**2 + 3. What is c*f(s) - 6*l(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 2*c**2 - 5*c**2 - 62308*c - c**2 + 14*c**2.\nAnswer: -c**2 - 62308*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4\/7, 0.3, 2, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, y: 1}. What is prob of picking 1 q and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760104 (base 8) to base 13.\nAnswer: 8b810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*n + 9, 28*j + 4*n = 33*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25145.3671 + 25121.3671039. Let u = -0.38 - -24.38. Let g = u + h. What is g rounded to 7 dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*z**5 - 1157*z**2 + 1157*z**2 + (2*z**5 - 26*z**5 - 15*z**5)*(-1 + 3 + 0) + (0 - 2*z + 0)*(2*z**4 - 5*z**2 + 5*z**2).\nAnswer: -134*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 5*g - 8*g. Suppose 3*h - 39 = -4*n, g = n - 2*n - h + 9. Solve 0*c = -3*c - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*x + 18*x = 566 + 734 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*v + 3*s, 40 = 4*v + 4*s. Suppose 34 = m - v. Find the common denominator of (-14)\/56 - 394\/m and -53\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l + 3. Let j be 18\/4*2\/3. Let c be ((-6)\/8)\/(j\/24). What is the remainder when y(c) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -8\/9, -2, 1\/6, 8, -0.09 in decreasing order.\nAnswer: 8, 0.4, 1\/6, -0.09, -8\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y**(7\/2)\/y*y)\/(y\/(y\/(y\/y**(-3\/5))*y*y)*y*y*y*y*y\/(y\/(y*y**(-14)\/y))))**(1\/33) assuming y is positive.\nAnswer: y**(79\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -8) + -1 + 7 - (3 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 293 and 48625.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2, -2\/13, 3 in increasing order.\nAnswer: -2\/13, 3\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from mxcvxivk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 - 35559*l**2\/4 - 213435*l\/4 - 320193\/4.\nAnswer: 3*(l - 11859)*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152.53 + 10.33. Let l = 125 + c. Let j = l - -6.2. Is 0.2 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -174.1, -22, -10.08?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -84, 6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 20*q + 3*k + 16 = 0, 2*k = 6. What is the highest common divisor of q and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 65. Calculate z(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/111864 and 71\/8?\nAnswer: 111864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 217103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*d + 1 = -11, -3 = 2*y - d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16181613 and 906?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2858.744864 + -3248.74486193. Let p = -390 - t. Round p to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 3*m**5\/20 + 5*m**2. Let f(s) = -s. What is t(f(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -7\/2*m**2 - m - 136 - 2\/3*m**3. Give c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -1\/6*w**2 + 1\/18*w**3 + 0*w + 1\/24*w**4 + 72. Factor u(k).\nAnswer: k*(k - 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l + 2 - 14*l + 15*l + 6*l. Let f be i(1). Let o(w) = -w**3 + 10*w**2 - 7*w - 12. Give o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -8*f - 64. Suppose 4*y = -3*x + 47, -5*x - 2*y = -51 - f. What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164801.\nAnswer: 3, 11, 47, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 9. Let p = 5 + 2. Give u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1770142.8, 4, 3 in decreasing order.\nAnswer: 4, 3, -1770142.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + ((-1)\/3 - (-775)\/(-15)). Let g = a - -60. Solve -m + 2*y + g = 0, -m - 2*m - y = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/4 + 3\/(-6). Suppose -14*g - i = -134. What is the remainder when 93 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 1 - 70 + 14 + 5.\nAnswer: 8*y - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 184*o + 61. Give b(-37).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-56)\/21)\/(-4))\/(((-8)\/(-6))\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-126)\/56*8\/(-3). Let n be v\/(-22)*4\/2. What is the second smallest value in 2, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + (2 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*y - 8 = 0, 2272*x + y = 2277*x - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109708018?\nAnswer: 2, 554854009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.4. Let m = 27 + -31. What is the closest to 0.1 in n, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 + -18)*90\/72. Which is the nearest to 1? (a) -0.1 (b) m (c) 1 (d) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/60 - 5*n**4\/12 + 10*n**3\/3 + 5*n**2 + 2*n - 102. Calculate f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1440482804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:01 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -61*y - 27*y**2 + 43\/2*y**3 + 1\/10*y**6 - 31\/4*y**4 + 3\/4*y**5 - 2. Factor z(i).\nAnswer: 3*(i - 2)*(i - 1)**2*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 3*z**3 - 2*z**3)*(4 + 0 - 1 + (-4 + 2 + 4)*(0 + 4 - 5) + 3 - 1 + 0) - z + z - z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10547 divided by 1.\nAnswer: -10547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3156 (base 13) to base 8.\nAnswer: 15257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, q: 3}. Give prob of sequence bbqb.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 2\/5, -0.312, -5?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/3 - 28*m**4\/3 - 33*m**3 + 178*m**2\/3 + 248*m\/3 = 0?\nAnswer: -4, -1, 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 25*r - 150 = 0. Solve -4*h - 8 = -r*t + t, 3*t = -3*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 824*i**5\/15 - 7*i**4\/24 - 29*i**3 - 2669*i**2. What is the second derivative of s(f) wrt f?\nAnswer: 6592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r - 32. Find the common denominator of (r\/30)\/(6\/(-10)) and 42\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 36\/319, -0.062, -4, 0.2, 4 in increasing order.\nAnswer: -4, -0.062, 0, 36\/319, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 611? (a) 129 (b) -1\/2 (c) -64 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 3)*(-u - u + u) + 8*u + u + 7*u)*(2 - 2 + 2*u).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n + 44. Let t = 84 + -84. Let o be j(t). Solve -20 = -o*u + 48*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*z - 99, -5*z + m + 80 + 127 = 0. What is the smallest common multiple of z and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 355 (c) 2\/77 (d) -0.3 (e) 4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31258, -0.806, 0.\nAnswer: -0.806, 0, 31258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 1318*u**2\/7 - 46546*u\/7 + 57222.\nAnswer: 2*(u - 17)**2*(u + 693)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1362*m + 1156?\nAnswer: 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let m(g) = 66*g - 39. Calculate l(m(n)).\nAnswer: 66*n - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 3\/2, 2, 10\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(-1)*3900\/130\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/412*(-4270)\/1708*(-8)\/5?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 - 2) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1 = 5*c, -4*n - 263*c = -265*c + 36 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5237*i - 3*i**2 + 2622*i + 2615*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3258 (base 13) to base 6\nAnswer: 52230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3 + -2 + 28. Suppose 4*z - 2*j = 58, -7*z + r = -6*z + 4*j. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 487*z**3 + 241*z**3 + 250*z**3 - 2*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4725 and 14252175?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 27730*s + 27735.\nAnswer: -5*(s - 5547)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.47, -0.202, 1, -0.11, -1 in increasing order.\nAnswer: -1, -0.202, -0.11, 0.47, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/616*112\/(-42)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/67 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103322011012 (base 4) to base 3.\nAnswer: 100211010121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 143780999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -3 (c) -11 (d) 108 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 1. Let c(l) = 3*l + 5. Suppose -a = 5*k + 51, 308*k - 311*k - 3*a - 33 = 0. Give k*g(v) - 2*c(v).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 13*y + 4. Let l be d(-13). Suppose 6 = 2*g + l*x, 0*x + 1 = g + x. Which is the third smallest value? (a) 3 (b) g (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27648307973.0004247 + -27648302883. Let c = v - 5090. What is c rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - c - 171 = -j, 4*j = -4*c + 360. What is the highest common factor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95 and 2814352.\nAnswer: 267363440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. What is the common denominator of 83\/q*(-3)\/(-6) and 73\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:56 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 12*m**2 - 4*m - 8. Let v be y(-12). Let h be v\/(-88) - 1\/(-1). Which is the fourth biggest value? (a) 3 (b) -0.2 (c) 5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 76. Let a(g) = -g**2 + 15*g - 41. Let m be a(d). Solve 3*o + 24 = m*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, 2, 23, 44, 59?\n\"Answer: -a**3 + 9*a**2 - 5*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2613 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 8*k - k**2 + 49\/12*k**4 - 1\/120*k**6 - 4\/15*k**5 + 0*k**3 + 0. What is the second derivative of b(i) wrt i?\nAnswer: -6*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/12 + 6*a**2 - 34. Let q(p) = 70*p**2 - 2. Calculate q(m(n)).\nAnswer: 280*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102*j**2 + 3*j - 499?\nAnswer: 204*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i - 5. Let u be a(-2). Let z = u + -5. Suppose 2*t - p = z, -5 = -3*t + 2*p + 6. Let k(y) = -12*y. Calculate k(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -53. Let n(a) = -a**2 - 17*a + 9. Is 9 a factor of n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:58 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (3\/(-6) - 6\/(-12)). Let u(z) = z**2 + 5*z - 9. Give u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1797*z + 4350 + 4848 = 483*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + (-162)\/6. Let s = m + 29. Let t = 10 + s. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/18 and -81\/134?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:39 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 55. Suppose -2*b + 5*u = 4*u + 664, d*b + 2*u + 676 = 0. Let t = -226 - b. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(55\/15) + -93. Let a be (-6)\/(-33) - q\/594. Sort a, 14, 3, -0.2.\nAnswer: -0.2, a, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 + 1. Let x be n(-8). Suppose -x = -4*q + 15. Solve -4*w - 14 = -2*o, -q*w = -0*o + 4*o + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-5))\/(132\/(-110)))\/(5\/3)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 0. Let b be 9\/q - (-34)\/8. Let u = 1 - b. Sort -3, 0, u in decreasing order.\nAnswer: 0, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 17958*h**4 + 71898*h**3 - 107808*h**2 - 71895*h + 89850 = 0. What is h?\nAnswer: -5, -1, 1, 5990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 - -60. Does 10 divide 4\/((-1)\/(r\/8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -213?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) - (sqrt(1152) + -2 - sqrt(1152)))**2 + sqrt(4)\/(sqrt(40)\/sqrt(5)).\nAnswer: 193*sqrt(2)\/2 + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(16100\/(-276)))\/(5\/((-70)\/12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 0.6.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 13*g**2 + 44*g**2 + 7 - 55*g**2 + 14*g**4 as q + j*g**3 + z*g**2 + o*g**4 + u*g and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19676702 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 6485\nAnswer: -6536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2938, -3733, -4528?\nAnswer: -5323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50450544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 4*c + 46. Let l be k(8). Let 33 + 10*m**2 - 97 - 32*m - l*m**2 = 0. What is m?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - 1)*119\/34.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(1\/7)*l**(-8)\/(l**(-3\/7)*l) assuming l is positive.\nAnswer: l**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4*h**3\/15 + 2924*h**2\/5 + 2137444*h\/5 - 4783. Factor k(m).\nAnswer: 4*(m + 731)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192592217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 0 + 0 + (-2*c + 5*c - 4*c)*(3*c + 8*c - 5*c) + c**2 + 0*c + 0*c + c - 140*c**2 - 7*c + 134*c**2 to y + h*c + t*c**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 9, -5, -1 in ascending order.\nAnswer: -9, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3286 and 1283648?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4933*o - 25 + 118*o**4 + 4933*o wrt o.\nAnswer: 472*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*(((-175)\/(-10) - 9) + -1 + -7).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 94\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = -10. Let x be 474\/9 - j\/6. Suppose -x = -5*v + 2*f, 4*v + 0*v + 3*f = 60. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r. Let z be 3 + (39 + r)\/3. Suppose 0 = -3*a + 2*y - 3*y + z, -a + 4*y = 12. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -26897\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 579527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**5 + 3*r**2 + 4*r - 4. Let n(i) = -2*i**5 - 2*i**2 - 5*i + 5. Let h(f) = -4*n(f) - 5*x(f). Find the third derivative of h(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = p - 4*n, p = -p - 5*n. Solve i + 2*f - 13 = 2*i, p*i + 20 = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.784977 decades to millennia.\nAnswer: 0.00784977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(891) - (sqrt(88) - 3*sqrt(88))\/sqrt(8))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7932? (a) -1 (b) -5\/3 (c) 1 (d) 5\/6 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164\/5 - -33. Let j = -1\/284 + 581\/3692. What is the smallest value in r, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.279 + 0.821. Let v = -22.1 - -24. Let m = v - d. Round m to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:48 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 654*f**2 + 24904*f.\nAnswer: 2*f*(f + 44)*(f + 283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4826478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, x: 2, l: 1, p: 1, w: 1}. What is prob of sequence xw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1 - -5) + (-17 - -18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 + 298*h**2 - h**3 - 29*h**2 + 11*h**4 - 15*h**4 + (-20*h + 23*h - 20*h)*(2*h**3 + 0*h + 0*h).\nAnswer: -33*h**4 - h**3 + 269*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583828873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*p - r, 14 = -0*p - 2*p + 4*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 2 q when four letters picked without replacement from vqqjbbdqqvqvvb.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/259*(-2)\/(-3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccnccnnccc. Give prob of sequence cnnc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 25 = -13. Which is the third smallest value? (a) k (b) -5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*w + 4*v, 33189 = 4*w + 4*v + 33177 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23635 and 43355.\nAnswer: 7066865","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-1 + (3 - 4)). Suppose -u - 19 = 3*q, 2*q + 12 + b = -2*u. Let i(s) = s**2 + 7*s + 5. Let p be i(q). Let y(h) = -3*h**2 + 2*h + 1. Give y(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22004220 (base 5) to base 16\nAnswer: 2de9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -19.3. Let a = f - 1.3. Is a smaller than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/23842 and 59\/1456?\nAnswer: 190736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26462 + -1455369\/55. Find the common denominator of -8\/35 and h.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/24 + 3*t**3\/2 - 3*t**2. What is the remainder when 10 is divided by d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 0)*2\/1. Suppose -d*g + 30 = 4*w + 10, -4*w + 8 = -2*g. Put g, 0, 1 in ascending order.\nAnswer: 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 8 = 24*w. Let n be 2 + (w - -233)\/5. What is the first derivative of 6 + 25*q**4 - 3 - n*q**4 + 23*q**4 wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36334, 36330, 36330, 36340, 36366, 36414?\n\"Answer: a**3 - 4*a**2 + a + 36336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o - 9 + 6*o**2 + 1\/12*o**4 - 3*o**3. Find the first derivative of g(d) wrt d.\nAnswer: 2*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 - 1267*j - 55488. Determine x(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -26?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let g(s) = 148 - 148 - 15*s**2. What is g(h(q))?\nAnswer: -60*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 943, 1022, 1101, 1180?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7 + j**2 + 2*j - 2 - 6*j. Suppose -s + 9 - 1 = 0. Is p(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 5*p**3 - 2*p**3 + (-p**2 - 2*p**2 + p**2)*(0*p + p + 0*p) - 915 + 915 - 425*p**3 to k*p**2 + l*p**3 + w + h*p and give l.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (sqrt(675)\/sqrt(9) + (sqrt(3)*-4*-5)**2)*-1).\nAnswer: -7176 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 4. Let h = -6 - -13. Let s = h + c. Solve 4*p + s*m = -0*p - 26, -5*p - 35 = 5*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 515, 1916, 4253, 7526, 11735, 16880?\n\"Answer: 468*v**2 - 3*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30237 is divided by 270.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/40 - 7*x**5\/60 + 5*x**4\/24 - 4*x**3\/3 + x**2 - 12. Let k(c) = c**3 + 3*c**2 - 2*c + 4. Determine 5*k(l) + 2*v(l).\nAnswer: -l**3 + l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -4, -2947, 828 in descending order.\nAnswer: 828, -1, -4, -17, -2947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-133)\/(-21))*(-2)\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -120552?\nAnswer: 120552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence komk when four letters picked without replacement from ohhcokmhmhmhmkkhhhh?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1697840 by 424460.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a**3 - 33*a**3 - 121*a**3.\nAnswer: -125*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:24 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*n - 3*u, 1288*u - 1293*u = 3*n + 41 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((7\/3)\/(-7)). Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -14*c - 54 + 49 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2910*h + 26 + 15 + 2943*h - 3 + 20 in the form m + g*h and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3664930936 to the nearest integer?\nAnswer: 60539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -319*l**3\/3 + 6934*l**2\/3 - 2205*l = 0?\nAnswer: 0, 1, 6615\/319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 169336 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkf when three letters picked without replacement from {f: 6, k: 4, d: 4, t: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -52 + 17 + -50 - -78\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 22031797.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1853123*z**4 + 2169232*z**2 wrt z.\nAnswer: -44474952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1073 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**5 - 2*q**5 - 2*q**5)*(5 + 3 - 2)*(-3 - 2 - 1).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + -19159229?\nAnswer: -19159210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -16, 17, -26, 3 in descending order.\nAnswer: 17, 7, 3, -16, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-87 - (3 + -4)). Suppose -7*g + i = -88. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100835 and 21371?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 44. What is the lowest common multiple of c and ((-24)\/9*3)\/(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -26. Let s be -28 + 44 + -11 - 5\/((-2)\/2). What is the tens digit of 816\/s - c\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/sqrt(11)*-5)\/((sqrt(7) + sqrt(700) + sqrt(7))*5).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(15\/(-22)) + (-52)\/130. Solve -3*d - 4*u + 9 = -u, t*u + 23 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2288, -2274, -2252, -2222, -2184, -2138, -2084?\n\"Answer: 4*i**2 + 2*i - 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 3, o: 5, z: 5, j: 2}. Give prob of picking 1 o and 1 s.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 10. Suppose 0 = f + 4*f + 5. Let q be (-25)\/30 - f\/2. Put q, y, 2 in ascending order.\nAnswer: q, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*((-8)\/6 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -26. Suppose 0 = 3*v - 193 + u. Suppose 48 = 3*r + y, -4*y = r - 2*y - 16. What is the remainder when v is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078 = -2568763*l + 2568812*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + u = -39, -74*j + 69*j + 152*u - 160*u = 370 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*y = 1, 5*y - 9 = -4*l - 0. Suppose 2*b - 16 = 3*g, 0 = 3*g - 3*b + 2*b + 11. Sort g, 2, l, -3 in descending order.\nAnswer: 2, l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Suppose 14*w - j = 13*w. Suppose -1 = w*i - 5. What is the smallest value in i, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x - 28 = -28*x. Is 3\/x + 62013\/84 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2\/11))\/(z**2\/z))\/((z\/(z\/(z**8\/z))*z)\/(z\/z**6)))\/(z\/(z\/(z**5\/z*z))*z**(-3\/4)*(z*z**(-1))**(2\/23)) assuming z is positive.\nAnswer: z**(-767\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 3. Let y(z) = -7*z - 3. Let c(i) = 3*g(i) + 4*y(i). Give c(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 18. Let a be c(17). Suppose -3*j - 4*f = -0 - 4, a = -j + f. Let x be (j\/5)\/(2 - 1). Solve x = 2*w - 4 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let m = -17 + 33\/2. Put t, m, -2 in decreasing order.\nAnswer: t, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + -15 + 2)*(-2 + 2)\/(-3). Let u(q) be the third derivative of 0*q - 3*q**2 + 1\/4*q**4 + m - 5\/6*q**3 - 1\/60*q**5. Let u(a) = 0. What is a?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 551, -1\/9, -3, -5, 2\/7 in decreasing order.\nAnswer: 551, 2\/7, -1\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 998312, 998312, 998314, 998318, 998324, 998332, 998342?\n\"Answer: l**2 - 3*l + 998314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 827910371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 52 + 65 - 5 - 4*z**2 to the form r + f*z**2 + k*z and give r.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 49 (c) 0.39 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 1 - 15 - 14 + 4*u**2.\nAnswer: 2*u**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.4 (c) -0.06 (d) 0.01 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-243263.\nAnswer: 291915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/11)*k*(k*k**(1\/19)*k*k)\/k*k)**(6\/35) assuming k is positive.\nAnswer: k**(6792\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {j: 14, e: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 13*g + 10. Suppose 2*u + 7 = -3*q, -2*q - 4*u = 2*q + 4. Let o be w(q). What are the prime factors of (39 - 3) + (o - -3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.13575 or 172\/11?\nAnswer: -0.13575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000231 (base 5) to base 11.\nAnswer: 75252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -46*k + 1752. Let s be d(38). Let l = -7 + 15. Solve -s*x - 11 = q, x - 3*q + l*q + 17 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-135))\/(6\/(-5))*(-60)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 12 + -2 - (8 + -14 + 19).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 61. Suppose -3*g = 5*w - 69, 0 = 5*w - 5*g - 58 + 13. What is the highest common divisor of w and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:28 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23 - 107 = 0. Find the common denominator of (154\/16)\/(h\/(-40)) and (-2)\/(-8) - 51\/9.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 8. Let j(b) = -3*b**2 + b**3 - 5*b**3 + 7*b + 15 + 3*b**3 - 8. Let f be j(s). Calculate the highest common divisor of f and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371 by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 1. Let z(c) = -28*c - 1. Let u(x) = 5*x. Let i(p) = -30*u(p) - 5*z(p). Suppose -14 = 65*f + 8 + 43. Determine f*i(s) - 5*q(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/30 and 93\/410.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5189 + 5191. Suppose 0 = 2*i + i - 27. Suppose 4*d - i = 3. Solve 2 = q + a*z, -d*q + 0*q = 5*z - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 4*f**3\/15 + 304*f**2\/5 + 23104*f\/5 + 14. Factor b(a).\nAnswer: 4*(a + 76)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*x - 982 + 922, 204 = -15*j - 3*x for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -684, -685, -686?\n\"Answer: -v - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21*c**2. Let l(x) = 144*x**2. Determine l(a(g)).\nAnswer: 63504*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -7*w**3\/6 - w. Let k(z) = 3*z. Determine f(k(v)).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-2))))**(-15))**(-8) assuming o is positive.\nAnswer: o**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 834552 + -834549. Factor 0 - 2*t - 2*t**2 - 1\/2*t**n.\nAnswer: -t*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8396697?\nAnswer: 3, 2798899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2667 or -2665?\nAnswer: -2667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -1\/54 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 444\/11 + -1009\/22. Sort r, 3, -0.2 in descending order.\nAnswer: 3, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15\/7, 2, 0.005, -0.5, 7?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2. Let s = 9 - 6. Let x be (s\/(-2))\/((-3)\/(-4)). Let g(c) = -c - 10. Give x*g(u) - 9*b(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1598a6?\nAnswer: 1598a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6180 + 19*j**2 - 6092 + 12272 - j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -962855 + 1734655. Round g to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/11 - 74*d**3 - 13208*d**2\/11 + 21624*d\/11 + 524160\/11 = 0. Calculate d.\nAnswer: -390, -16, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 27 = -4*w - 7, 2*w - 8 = -b. Let q(g) = g**3 + 6*g**2 + g + 5*g - 17*g**2 - 4*g + 6. Let r be q(11). Solve -b*v + 8 - r = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14498338 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 4*v + 11. Suppose 14*a = 11*a + 18. Calculate j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.334?\nAnswer: -0.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.66 - 2068848619.\nAnswer: -2068848617.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948442 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 505 + -238. Suppose u - t = v - 679, 5*v + 2*u - 2053 = 0. Let h = v - 270. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -158*z + 25. Let p be x(4). Let a = 615 + p. Solve 17 + a = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.01, -1, -3.54, -5, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*o**2*z + 3166*o**2 - 2*o + 5510668*z wrt o?\nAnswer: -140*o*z + 6332*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = -440. Is 21 a factor of (m - 1)*(-4)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(104)\/(sqrt(8) + (sqrt(48)\/sqrt(96) - sqrt(8))).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 - 2.64. Let f be (9 - 1)*(-5)\/70. Which is the nearest to 0? (a) w (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9884\/1765 - (2 + -1 + 5). Let z = 0.7 - -20.3. What is the closest to z in 0.2, 2\/5, -2\/3, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 10) to base 3\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 - 9\/(-4). Suppose -3*b + 0*b + 5*j = -26, -8 = -g*b + j. Suppose -a - 13 = -b*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - r + 8 = 0, 3*n + 3*r - 8 = 2*n. Suppose -2*y - 3*o + 40 = -n*o, 3*y - 86 = o. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*p - i + 2, -3*i - 2 = 5*p. Suppose 100 = 4*w + z, 0*z = 2*w + p*z - 50. Does 13 divide w - (1 - (-6)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.33 - -0.37. Let u = j - 0.7. What is the third biggest value in u, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(189)\/(sqrt(12)\/sqrt(4)) - (-5 + sqrt(126)\/sqrt(2))) + (1*(sqrt(756) + (sqrt(756) + sqrt(756)*2 + sqrt(756) - sqrt(756))))\/sqrt(12))*-2.\nAnswer: -24*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.1207.\nAnswer: -0.06035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, s: 1, o: 1, k: 1}. Give prob of picking 1 c and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1022996624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/345*(-30)\/4*8\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35602 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116505.\nAnswer: 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210001112022022 (base 3) in base 13?\nAnswer: 241a630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20292.4300146 + 20292.4. Let h = 0.03 + l. What is h rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545 - 547 = -4*o - f, 0 = -2*o - 4*f + 22 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2342747\/60 - 39045. Find the common denominator of (366\/36)\/((-1)\/(-1)) and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5382778.5, 4 in ascending order.\nAnswer: -1, 4, 5382778.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9*l = 12. Calculate the remainder when -19*16\/(-15 + -1) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 13 - 39)*(4*a**2 + 0*a**2 - 2*a**2)*(-5 + 3 + 1)*(5*a**2 - 1 + 1).\nAnswer: 370*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y - 3*y + y. Let w(j) be the second derivative of 0*j**2 + 0*j**3 - j - 1\/6*j**4 + 0. Give u(w(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.109, 13, 14, 21\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5e (base 15) to base 16\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169014 * 2.3.\nAnswer: 388732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 2 + 1)\/(-1). Suppose 2*s = p*k - 10, -s - 8 = -2*k - 0*k. Suppose -3*v = -5*d + 3, 10*v = d + 9*v + 1. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:48 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(3*i - i + 0*i)*(3 - 16 + 6)*(-2*i + i + 2*i) to the form a*i + q + p*i**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1310 (base 15) to base 9\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/60 - 56*f**2. Let p(s) be the first derivative of -s**2 - 1. Calculate p(c(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 20*g**2. Let j(o) be the first derivative of -o**4\/4 - 10*o**3\/3 + 381. Determine 5*j(y) + 3*w(y).\nAnswer: -2*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6537.31 + -0.03. Let m = v - -6498.3353. Let r = m - -39. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152433\/3278 + 3\/1639. Find the common denominator of -55\/12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/260 and 61\/22.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*v = 35, -2*v - 16 = -4*f - 42. Let j be (-13 - -3)*f\/10. Suppose -2 + 2*o**5 - 3*o - j*o**2 + 4*o**3 - 2*o + 6*o**4 - o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*f + 1 = -3, -5*f = 5*q - 10. Let z = -0.06 + -0.24. Let u be 1 + (1 - 20\/9). What is the closest to q in u, -2, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -90*z - 21. Let v be u(-15). Let y = v + -816. Calculate the greatest common divisor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ewwwwweeweewwwww.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 18*g + 27. Let y be b(-14). Let u = y + 88\/3. Factor -2*l - 3*l**2 - u.\nAnswer: -(3*l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-6)*(9 + -5 + -10). Let s(w) = -w**2 + 16*w. Let n be s(p). Put 5, -121, n in decreasing order.\nAnswer: 5, n, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*q)*(-4 - 1 + 4)*(4 - 5 + 20)*(0 + 0 + 1).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + 5*f)*(-8*f**2 - f**2 - f**2) - 2*f + 4*f**3 + 2*f + 0*f + f + 2*f**3 + f.\nAnswer: -14*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/15)*v*v\/v**4)\/(v**(-12)*v\/v**(2\/7)) assuming v is positive.\nAnswer: v**(982\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158092, -158085, -158078, -158071, -158064, -158057?\nAnswer: -158050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*i**2 - 130 - 97*i**2 + 287*i**2 - 92*i**2.\nAnswer: i**2 - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*f**2 + 6*f + 14*f + 22*f**2 + 30*f**2 as n*f + v + b*f**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -21, -2\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**4 + 2*k**3 - 4*k**2 + k. Let r(g) = -g**4 + g**3 - g**2. Let d(p) = 3*r(p) - y(p). Factor d(s).\nAnswer: -s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1078 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2249 - 2245. Let s = 3 - 2.7. What is the closest to g in -4, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-483)\/322)\/((-1110)\/(-40))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000217444 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -1) + (22 - (-50 - -62))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70144 - 6?\nAnswer: 70139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23169563, -46339135, -69508707, -92678279?\n\"Answer: -23169572*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 1056 = -56. Let j = -98 - o. Suppose -i - 4*i = j*t - 29, 16 = 4*i + 4*t. Let q(z) = -z**3 + 8*z**2 - 5*z - 3. What is q(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 0.734?\nAnswer: 0.6606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q)**(-16\/5))**(-48)\/(q**(-2\/13)*q**(3\/8))**(-4\/15) assuming q is positive.\nAnswer: q**(39959\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360392 - 4684998\/13. Determine i so that 168\/13*i - 54\/13*i**2 + 4\/13*i**3 + c = 0.\nAnswer: -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 13.6. Let t = 9.3 + -3.9. Let k = n - t. What is the third biggest value in -2, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*p**4 + 2*g*p**3 + 5*g*p**2 - 4*g*p + 18*p**4 + 124*p**3 + p**2 + 571 wrt p.\nAnswer: 72*g*p + 12*g + 432*p + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6614*g**3 + 3717*g**2 + 3*g.\nAnswer: -39684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 14 = 3*l, 773*y - 2*l + 4*l + 9 = 770*y - 2*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-1)\/1 + 0). Let a(j) = -4*j + j**o - 1 - 2 + 5 - j**2. Let b be 7*(-12)\/28*(-8)\/8. Determine a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = d + 46, -d - 2*d - 138 = -w. Let j be (-4)\/(-6) + d\/6. Let r(h) = h**2 + 8*h + 9. List the prime factors of r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 8 = -10*o. Suppose -2*s - 5*y - 13 = -4*s, -o*s = -y - 9. Suppose -3*r + 21 = 2*c, s*c = -4*r - c + 35. Solve 2*f + 5 + r = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o + 1196 + 964 = 0. Calculate the remainder when 51 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -6. Let m = 3.6 - -0.4. Let a = 28\/79 - 33\/316. What is the second smallest value in a, m, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 876056, 1752058, 2628062, 3504068?\n\"Answer: l**2 + 875999*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (270196\/(-3038) + 44)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -79, -141, -217, -301?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*o - 69*b*r**3 - 4753*b*r - 2*b + 2*o*r**3 - 123*o*r**2 - 253173*r**4 + 2*r wrt r.\nAnswer: -414*b + 12*o - 6076152*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436*x + 3704 = -210*x - 87962 - 59132 for x.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 994 = 1166. Solve -w = t - 86 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, 1178, 2\/4043?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4, -3*i - 4*h = -6*h - 10. Suppose 4*s - 2*s - 64 = -2*j, -64 = -i*s - 5*j. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -2, -11, 655, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by -5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 + 149. Suppose -60 = n*i - 26*i. What is the highest common divisor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 134 (c) 0.4 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:54 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24d4d + -4?\nAnswer: 24d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:21 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 9216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 32 = -2*x - 2*x, -3*u = 2*x - 8. Let p(j) = 2*j - u + 6. Let v(b) be the third derivative of b**5\/15 + b**2. What is v(p(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/((-7)\/6 + (-2)\/(-12)). Let i(u) = n*u + 6 - 6 - 11*u - 3. Let a be (-10)\/2 + 4\/2. What is i(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.58944 litres in millilitres?\nAnswer: 56589.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-16) - (-34955)\/(-12). Let j = 2925 + k. Let d = -230663\/16 - -14411. Find the common denominator of j and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*(sqrt(7) + 1))**2 + sqrt(56)\/(sqrt(392) - sqrt(8)))*-2.\nAnswer: -146 - 109*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 4)*(8*x + 5*x - 2*x).\nAnswer: 132*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14476101 and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j + 10. Let f be o(-8). Round f to zero decimal places.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 630152.\nAnswer: -3\/630152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(3600\/88)\/75*(-8)\/15?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1047 - -537. Calculate the greatest common divisor of f and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 17*b**2 + 14*b - 30. Let l be m(-16). Solve 0 = 2*j - l + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*k - 4*f - 40, -3*f = 0. Let u = 37 + -15. Calculate the least common multiple of k and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/29)\/a**0*a**(1\/9)*a**(-13\/3)*a assuming a is positive.\nAnswer: a**(-850\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -60, -63, -66, -69?\n\"Answer: -3*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(6\/(-9))\/(26\/(-13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*r**3 - 39*r**3 + 88*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 119.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 31 = 3*w - 5, -2*b - 4*w = -12. Solve 1941 = b*y + 1923 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 34*k**2 - 112*k + 57. Give c(37).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 1 l when three letters picked without replacement from {l: 1, g: 1, b: 2, w: 1, u: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 21, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from lllcclc?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83546, 167095, 250652, 334223, 417814, 501431, 585080?\n\"Answer: g**3 - 2*g**2 + 83548*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*g - 7, 2*g + 0*g - 2 = 0. Let y(o) = o**3 + o**2 + 51. What is the remainder when y(0) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 + 35 = 0. Let p = 14 + -11. Let k(o) = o**3 - 2*o**2 + 3*o - 1. Calculate the remainder when k(p) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:24 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 3*f**2 - 4*f**2)*(-3 + 6*f**3 + 3) - 7*f**4 + 7*f**4 + f**5 + (5*f**4 - 5*f**4 + f**4)*(0 + 0 - 2*f).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/6 of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*w*w*w**29))))\/w*w\/(w\/w**(1\/13))*(w*w**(-26)*w*w)**(1\/4) assuming w is positive.\nAnswer: w**(-1959\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10302 and 228159?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.061 - 2.021. Let q = n + -0.04. Let v = q - -2.000015. Round v to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2941*s + 369495 = -2872*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3 - 6252?\nAnswer: -6259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*n - 172 + 472. Let w(k) be the second derivative of -k**5\/5 - k**4\/4 - k**3\/2 + 9*k. Let o(p) = 9*p**3 + 5*p**2 + 5*p. Calculate n*w(j) - 3*o(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:29 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(26)\/sqrt(2) + 1*sqrt(208))**2 + 0.\nAnswer: -30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2045845?\nAnswer: 5, 31, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.156 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(111\/(-333)). Let f be 22\/(-55) + (-66)\/(-15). Sort -5, -9, v, f.\nAnswer: -9, -5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 29. Suppose 8*f - 5*f = -y. What is the third smallest value in f, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = f - 1, 1 = 3*o + 4*f + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f - 10. Determine g(7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 13 = -2*m. Let q = m + 28. Suppose -6*j = -5*g - q*j + 42, 3*j + 35 = 4*g. Solve g*a - 3*a = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -26 - 4. Suppose -865 = -a*h - 35. Let f = h + -85. Let g(n) = 2*n + 3. Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -180, -287, -408, -549, -716, -915, -1152?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3248*r**3 - 428016 + 3243*r**3 + 428016.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-5 - (2 - 4)) - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1 + -1 - 3). Let n = -28 + 48. Let x = n + -19.6. What is the nearest to f in x, -5, -3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/2 - 2*r**4 + 2*r**3 + r**2 - 5*r\/2 + 1.\nAnswer: (r - 2)*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79094.\nAnswer: 2, 71, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*n + n. Calculate the highest common divisor of 78 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62752 is divided by 4468?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 120\/(-15)*((-2)\/(-8))\/(-1). Let g(u) = 153*u + 7. List the prime factors of g(p).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/26)\/((-1038)\/(-4152))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-2)\/(-6)*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 22\/1217, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 2*r - 9. Calculate u(8).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, l: 5, g: 2}. What is prob of picking 1 u and 1 l?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 - 0 - 37210\/(-175). Let a = q + -212. What is the common denominator of 156\/45 - 2\/3 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:02 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14495 - -14488. Which is the closest to 0.1? (a) -0.2 (b) f (c) -3 (d) -222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-28)\/16 - 1. Let s = -0.219 + 0.319. Put z, 6\/11, -5, s in decreasing order.\nAnswer: 6\/11, s, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351\/(-234)*(-2)\/(-9)*28\/(-8)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -36\/50401, 0.1, 3, -2 in decreasing order.\nAnswer: 3, 0.1, -36\/50401, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68128420, 68128416, 68128410, 68128402, 68128392, 68128380, 68128366?\nAnswer: 68128350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2039869 is divided by 154.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -453335954*c**3 - 58007202 with respect to c.\nAnswer: -1360007862*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74996 take away 0.05?\nAnswer: 74995.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-15))\/((12 - 19) + (-694)\/(-100)). Solve -f*m - 12*m - 128 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28d5a (base 15) to base 10.\nAnswer: -131260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 28*l + 3. Let a be n(21). What is the remainder when (-9 + a\/12)*(-276)\/(-7) is divided by 5*1\/(1\/7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 66 = -3*o, -2*c + 3*o + 105 = -0*c. Let i be 16016\/312*((-18)\/(-21) + 0). Let r = i + c. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/5 + 680964*d**2\/5 - 38637896919*d\/5 - 541064034042\/5 = 0. Calculate d.\nAnswer: -14, 113501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2192 and 80?\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 38. Let a be j(7). Suppose -110 = 5*o - 590. Suppose 0 = i + 4*b - o, a*i - 3*b - 258 = -5*b. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 3*q**2 + 3*q + 7. Let y = -49 + 52. Let f be d(y). Solve 0 = -0*c - 4*c - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7569504 divided by -16.\nAnswer: 473094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5 + 136*q**4 - 496*q**3 + 480*q**2 = 0.\nAnswer: 0, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 0, 2*h + h = -f + 2. Find the second derivative of -16*l**2 + 3*l + 16*l**h - 3*l**3 wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6778 = 2*t, 2*a + t - 13565 = 4*a. Let v = a + 108497\/16. What is the common denominator of v and 97\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 4)*(1 - 2 + 2) + 241 - 298 - 308)*(3 - 3 - 1)*(3*c**2 + 1 - 1).\nAnswer: 1098*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -2*sqrt(700) + sqrt(700) + sqrt(700) + -2 - -4*sqrt(700)*-4)**2.\nAnswer: 600*sqrt(7) + 157504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 + 299. Does 3 divide f - 39 - (-97 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3820*f - 3800. Give m(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010111011101111011 (base 2) to base 14.\nAnswer: 672d75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 7*p - 5. Let k be u(-5). Let o be 2\/(-5) - (-52)\/k. Solve 5*h + o = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-928)\/(-160) + -7 + 1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/407 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -1 (b) -124 (c) 4 (d) 7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 5*n**2 - 5*n**2)*(-3*n - 3*n + 2*n + (2*n - 2*n - n)*(-4 - 12 - 6)).\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 8*o**2 + 9*o + 4. Let x be n(9). Let k = x + -1. Is 2 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 3. Let k(q) = -q - 2. Suppose 45*y - 320 = -19*y. Determine y*v(o) - 6*k(o).\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -185 and 0.1.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361972 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92320 and 2285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 119, -83, -571, -1429, -2741?\nAnswer: -4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(171)*-3 + sqrt(171))\/sqrt(9).\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67507 - -107512. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tii when three letters picked without replacement from {z: 2, i: 8, t: 2}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -48*o. Let q(i) = 4107*i. Calculate q(n(y)).\nAnswer: -197136*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5015, -20460, -46185, -82178, -128427, -184920?\nAnswer: -251645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 17*j - 17. Let a(k) be the third derivative of -4*k**2 + 1\/30*k**5 + 1\/4*k**4 + 0*k - k**3 + 0. Calculate -17*a(g) + 6*o(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 51 = -3*y, -2*a + 0*y + 30 = -2*y. Suppose b = 4*b - a. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:07 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8\/5, -3, -0.3, 361, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 30 - 15. Let c be 1\/i - ((-80)\/15 - -1). Solve -c*x - 12 = 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let d be h(-2). Let n(z) = -4*z - 2. Let o be n(-3). Solve -4*v = -d*v - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4 + 5*x**2 - 5*x**2 + x**2 - 7*x. Let a be q(5). What is the units digit of 9\/a*-2*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**10\/(i\/i**(-3\/13)*(i*((i*i**11*i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-217\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2070*r - 47873. What is l(23)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 - -3. Let t = 2.062 + -0.062. Put v, t, 0.1 in descending order.\nAnswer: t, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53978.\nAnswer: 2, 137, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -20. Let u be (-1 - -2)\/(o\/(-10)). Calculate the greatest common factor of 40 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 10, r: 4}. Give prob of sequence rr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38399*d**5 - 7393*d**2 + 1 wrt d?\nAnswer: 2303940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3*10\/12*-2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 309 + -309.1. Let s be (1\/26)\/((-5)\/120). Let t = 86\/65 + s. What is the nearest to v in t, -2\/21, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 27*y**2 + 330*y + 274. Is q(-53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 286063*j. Let f(i) = i**2. Calculate d(f(v)).\nAnswer: 286063*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37125\/2 - 18564. Let v = -51 - -7. Let z = 397\/9 + v. Which is the nearest to 0.1? (a) -7 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70, 3, -4, -5 in increasing order.\nAnswer: -5, -4, 2, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h**(-2)\/h)\/h))**(12\/5)\/(((h\/((h**(-9)*h)\/h))\/h)\/(h*(h*h**(1\/5))\/h*h*h)))**(-50) assuming h is positive.\nAnswer: h**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-159)\/52) + (-25 - -24). Let v = s - 51\/106. Sort 2\/21, v, -1\/4, -0.4 in decreasing order.\nAnswer: 2\/21, -1\/4, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/16 + -3 + (-91)\/(-4). Suppose -4*z = 4*a + 12, -5*a + 8 = -2*z + h. Let i(f) = -f**3 - f**2 + f + 382. Is i(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92596100 to the nearest ten thousand.\nAnswer: 92600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404.0765 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -7.\nAnswer: -83\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/526505 and -22\/3381?\nAnswer: 36328845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2040 - 4085\/2. Let m = -5.9 + 9.8. Let t = 4 - m. Sort -2, v, t in descending order.\nAnswer: t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 58*z**2 + 4*z - 64*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3223 + 4929. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 + -332.901. Let b = g - 0.09892. Round b to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5949.38 + 5892. Let h = 0.62 - u. Let k = h - 57.99999987. Round k to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:47 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 64*p**2 + 182*p - 180. What is f(-61)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 5)*((-2*k + 6*k - 3*k)*(4 - 212 + 48) - k - 3 + 3) in the form d + n*k and give n.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(16)\/((sqrt(144)\/sqrt(3))\/sqrt(6)))**2 + (-1 + sqrt(200) + 0 + sqrt(200))**2*-6)*-3 + 1.\nAnswer: -720*sqrt(2) + 14395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 3)*(-30 + 6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.010677633 and 4554.\nAnswer: 4553.989322367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by -5.\nAnswer: 113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = 3*f - 27*y + 18, -f + 13 = 5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14894 + -1140. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981798?\nAnswer: 2, 1490899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*m + 485*m = 12. Suppose 3*l - c = -41, -3*l + 0*c - 51 = -3*c. Let w = m - l. Solve w*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:06 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/(4\/670). Let f = 936\/7 - x. Let p = -7.5 + 8. Which is the nearest to 0.1? (a) f (b) p (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1529*b - 1535*b = 0. Let r(v) = 4*v - 4. Let n be r(4). Suppose 4*k + 0*y - n = -2*y, -5*k - 4*y = -15. Solve k*z - 4*z = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469 a factor of 42377934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1608828cm to nanometers.\nAnswer: 1608828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1184 and -1553.3.\nAnswer: 183.91072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/1*((-450)\/(-25))\/(-90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -819*w**5\/20 + 47*w**4\/6 - w**3 - 2*w**2 + 1757. Find the second derivative of n(d) wrt d.\nAnswer: -4914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:49 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.6. Suppose 5*t = -4*q - 11, 0 = 5*q + 5*t + 11 + 4. Which is the third smallest value? (a) -2\/15 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -4 + 3 - 19) + -6 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10056888 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 402\nAnswer: -80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324*y**2 - 324*y**2 + 2*y**5 - y**6 - y**6 - 12 + 1000*y**2 - 333*y**2 - 306*y**4 wrt y?\nAnswer: -240*y**3 + 120*y**2 - 7344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -46. Let n(l) be the second derivative of l + 1\/50*l**5 - 2\/15*l**3 + 0*l**2 - 1\/30*l**4 + r. Determine z so that n(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(288)\/sqrt(4))*-4)\/(sqrt(6)\/sqrt(32) - sqrt(108)\/sqrt(9))*-4.\nAnswer: -64*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 26?\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b + 3*b - 2*b + (-96*b - 79*b + 14*b)*(1 + 1 + 1) as u*b + f and give u.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -0.1495 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -0.3, -22, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253513014 is divided by 245?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wfffwfwf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23030 (base 7) to base 9\nAnswer: 8022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-9 + 2 - 2 - (-23 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2557 + 2557.0001059. Round w to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(1\/7)))\/a**(-4)*(a*a*(a\/(a\/(a\/(a*a**(3\/4)))))\/a*a*a)\/a**(2\/9))**(27\/7))**46 assuming a is positive.\nAnswer: a**(102327\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a - 1715?\nAnswer: -16c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124674*r**3 + 426832*r wrt r?\nAnswer: -748044*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 28*k**2 + 2*k + 96. Let c be m(-28). Solve -3*y + c = -2*j + 18, -3*y - 13 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 13)*(-2)\/(-2)*1. Let j be ((-62)\/(-217))\/((2\/(-70))\/v). Calculate the highest common divisor of 170 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 45631 (b) -3\/10 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -12\/25, -6?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 34*v**2 + 13*v + 56. Suppose 644 = 25*x - 53*x. Let d be t(x). What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1462, 5836, 13126, 23332, 36454, 52492?\n\"Answer: 1458*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-280)\/(-8))\/7)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (-880)\/3. Is (o\/4)\/((-9)\/36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:50 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81927899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0 + (1 + 1 - 3)*(6 + 3 + 1))*(0*j - 2*j**2 + 0*j)*(7*j - 4*j**2 - 7*j) to d*j**4 + m*j**3 + l + w*j**2 + g*j and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 1. Let w = r + 5. Let s = w - -16. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (19 - (50 + -98))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z**3 + 9*z**2 - 7*z - 7. Let l(o) = 8*o**3 + 5*o**2 - 4*o - 4. Let f(j) = j**2 + 35*j - 392. Let t be f(-44). Calculate t*v(r) - 7*l(r).\nAnswer: 8*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 + 6*k + 6. Determine s(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/11 + -2\/77. Which is the closest to 1\/4? (a) t (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1590 - -1590. Let f be (-3 + 0)\/(-3 + 1). Which is the closest to 2\/7? (a) -0.6 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 z when four letters picked without replacement from {s: 9, z: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:38 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-6) - (15932\/2232 + -7) and 127\/6.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -17*k**4\/3 - 2327*k**3\/3 - 4265*k**2\/3 + 2473*k - 270 = 0.\nAnswer: -135, -3, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (75\/(-3) - 3)\/(2 - 3). Suppose 0 = 5*k - 3*k - a. Let j be 1*((-4)\/k + (-22)\/(-77)). Let v(f) = f**3 - f**2 - f + 11. What is v(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327114 and 612.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 - 2)*(-z**2 - z + z) + (-2*z**2 + 6*z**2 - 3*z**2)*(3 - 3 + 2) to the form a*z**2 + h*z + j and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 - 3*t**2 - 70*t - 196. What is the lowest common multiple of 1425 and g(-3)?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**6\/14 - 24*a**5\/7 + 171*a**4\/4 + 40*a**3\/7 - 600*a**2\/7 + 639. Suppose s(h) = 0. Calculate h.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgf when three letters picked without replacement from fsgss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/4 + 0 + 1 - -154. Suppose -6*y + 418 = -r. Calculate the lowest common multiple of 16 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omm when three letters picked without replacement from kpomooopopoopklompm.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) - (-1318)\/18. Let c = -42 + b. Calculate the highest common divisor of c and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 28. Let m(j) = 3*j - 57. Let p(z) = -7*g(z) + 3*m(z). Let h be p(-9). Let y(r) = r**3 - 6*r**2 - 7*r. Let u be y(h). Solve u = -4*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351958 and 2088?\nAnswer: 367444152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2880 + -25759?\nAnswer: -22a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b + 23. Let x = 9 - 6. What is the biggest value in 0, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)*-11 - 1. Let t = c - -7. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4 - 2. Suppose -w*t - 5*d + 44 = 0, 3*t - 11 = 4*d + 32. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 43*m = 143*m - 5022 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 456104179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 2919?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-3))\/15*(55\/(-3102))\/((-5)\/9)?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -107.2. Let t = 47 - 47. Which is the fourth biggest value? (a) h (b) -2\/3 (c) t (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799076.\nAnswer: 2, 107, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = s - 175, -896 = -5*s - 2*c + 3*c. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*i + 133321511 + 31578787 = 651*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 876*t = -440*t - 443*t + 143, 2*t = 2*c + 44 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*p + 4, w + 3*w + 40 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 16. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283.9594 millilitres to litres.\nAnswer: 0.2839594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/3 + 2*n**4\/3 - 2*n**3 - 2*n**2\/3 + 4*n\/3 = 0. What is n?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7277978 is divided by 911.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 + 2262*u**2 + 9066*u + 9072.\nAnswer: -3*(u - 1512)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 341357044 - 2?\nAnswer: 341357042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*j*l*x + 3*b**2*l*x**2 + 3*b**2*l*x - 2*b*j*l - 95*b*j*x - b*j + b*x - 2*j*x**2 - 30590*l*x**2 wrt x.\nAnswer: 6*b**2*l - 4*j - 61180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 + 229. Solve i*j - 20 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2199 divided by 156\nAnswer: 733\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 162 = 119. Let x be (-3 - (4 - 6)) + p. Suppose -6*u + x = u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14384242 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 35 + -35\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 5029*t + 819612. What is w(-158)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196991000 rounded to the nearest one million?\nAnswer: -1197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1720)\/(-140) - 22\/77. Solve -26*k = -38*k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*u + 4*u. Suppose u = 2*o + 3*o. Let t(m) = m**3 + m**2 + m. What are the prime factors of t(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*(sqrt(243)*-1 + sqrt(243))**2 - sqrt(243)) + sqrt(243) - sqrt(243)*2*4).\nAnswer: -288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 2*m - m - 3 + 4*m. Let l = 68 - 48. Suppose f = 6*f + l. Determine i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 73*b - 25. Let h(z) = -z**2 - 25*z + 9. Calculate -17*h(d) - 6*j(d).\nAnswer: 5*d**2 - 13*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*i - l + 5*l, 5*l - 20 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 755?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/17598 and -103\/10.\nAnswer: 87990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (54 - (-30 - -24)) + -30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4801.375 millimeters?\nAnswer: 480.1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-24)\/(-5))\/(-4)*(-300)\/36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11579 + -11579. Let w be (5 - 2) + -2 - 0. Solve -b + 0*r = r, 2*b + 3*r + w = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27081306 divided by -96033.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a. Let b = -51 + 61. Let t(o) = -2*o - b + 6 + 4. Give t(s(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2520130 + 523?\nAnswer: -2515203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3 - 2 - 336\/294).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -47. Determine f so that -25*f**2 + 17*f - 2*f + 5*f - 5 + 10*f**t = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4711 + -4715. Let x = 0.9 - -4.1. Sort x, l, 6.\nAnswer: l, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 40. Let z = -36 - d. Let h(m) = m**3 - 3*m**2 - 6*m + 3. What is h(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/10395054 and -5\/15592581.\nAnswer: 31185162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2821*u + 1576*u - 3082*u + (4*u + 2*u - 4*u)*(-1 - 4 + 6).\nAnswer: 1317*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2676290049\/5140 + -520679. Let s = 8168\/3855 + m. What is the common denominator of 111\/40 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36048564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7572650472\/295 - 16\/10. What is k rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 83 + 717 = 16*p. Solve -30 = -p*x + 34 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.6*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + -3) - ((5 - -32) + 47).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1030 + 2208. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bbvbbbbbbbbbbbdbbbbb.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 12*j = 137416 + 428288. List the prime factors of j.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 32064*n\/7 + 32062\/7.\nAnswer: 2*(n - 16031)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353 is divided by 167.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424949752 to the nearest integer?\nAnswer: 20614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 0.2, -1\/5, -13\/20, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*w - 1\/9*w**4 - 7\/9*w**2 - 5\/9*w**3.\nAnswer: -w*(w + 1)**2*(w + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 + 184 = -99*c - 488 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10662 and 117\/50.\nAnswer: 266550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 9, -1 + 36 = -5*s + 5*b. Let t be s\/(-18)*(12 - 3). Solve t*u + 2 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 637 - 635. Suppose 21 = -2*j - i - 4*i, -24 = 3*j + 5*i. Let v be -1*(j - (1 - -1)). Calculate the highest common divisor of v and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -5175.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016110072 to 4 decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*w**2 - 59\/2*w + 6.\nAnswer: -(w + 12)*(5*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - 0) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose 3*c + 3*h + o = -1, 4*h = -20. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 + (-3 - -9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -3875.\nAnswer: -3869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -786337.58 - 768.\nAnswer: -787105.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -799 + 812. Calculate the greatest common factor of 1677 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383898, 5, -0.5.\nAnswer: -0.5, 5, 383898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s + 18. Suppose -92 + s = -3*u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**6*y*y\/(y\/(y\/((y\/(y\/y**(6\/13)))\/y)*y*y))*(y**9*y)\/(y*y\/y**2) assuming y is positive.\nAnswer: y**(124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3698518054.\nAnswer: 2, 7, 11, 31, 67, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-72) + (-10)\/45. Which is the closest to -1? (a) x (b) -5\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -15734?\nAnswer: 15724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1836 from -38403.\nAnswer: -38404.1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 41. Suppose 12 = 4*o - u. What is the highest common factor of 30 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*c = -24, 2*x - 15 + 3 = 2*c. Suppose 1 = -2*b - 3*t, 8*b - x*t = 5*b + 21. Let y(h) = 4*h - 1. Determine y(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*i - 6 = 12, 0 = -2*i + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:10 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*z + z - 5614, 0 = 3*z + 2*x - 4222. List the prime factors of z.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -4\/9, 5, -1115, 2 in ascending order.\nAnswer: -1115, -0.6, -4\/9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1, -5, 4 in descending order.\nAnswer: 4, -2\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/5 (b) 5.1 (c) 2\/9 (d) 337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - 33 - -80)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3\/6)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + 148*b + 74*b - 208*b + 2*b**2 + (-3*b**2 - b**2 + 2*b**2)*(-1 + 2 + 1).\nAnswer: -2*b**2 + 14*b + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1781773*a**5 - 1325335*a**2 wrt a?\nAnswer: -106906380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, a: 1, x: 3}. What is prob of picking 1 x, 1 a, and 1 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/24 + w**3\/6 - 128*w**2. Determine m(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-345) - (-6)\/10\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6\/7, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/13585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/17, 4, 4\/5, -4, -103 in descending order.\nAnswer: 4, 2, 4\/5, 1\/17, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.029 and -7.17.\nAnswer: -0.20793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Find the first derivative of 2 - 2*t**3 - t**3 + b wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, m: 5}. Give prob of picking 3 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 + 11*k + 14. Let c be z(-4). Solve 4*p = 2*p - 5*g - c, 0 = 5*p + g + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Let u = -4 + 8. Put -2, u, c in decreasing order.\nAnswer: u, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 263*o**4\/8 - 455*o**3\/2 + 12*o**2 - 5. Differentiate u(d) wrt d.\nAnswer: 789","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 207\/2. What is the smallest value in -83, -4, h?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1338*o + 1797*o + 1510*o + 1661*o to the form g + z*o and give z.\nAnswer: 3630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -133 (c) 3\/8 (d) -0.5 (e) 1 (f) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.9*264665.\nAnswer: -3414178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u + 213*u - 98*u = -33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -78*f + 3 - 3 + 79*f. Let y(x) = 2*x**2 + 2*x**2 - 3*x**2 + 3*x. Let l(o) = -3*o**2 - 8*o. Let h(z) = -3*l(z) - 8*y(z). What is h(u(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -3\/2, 6, 2 in ascending order.\nAnswer: -3\/2, -1\/8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 184, 370, 554, 736?\n\"Answer: -f**2 + 189*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(24)\/sqrt(2))\/(sqrt(64)*1 - sqrt(4)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31776\/6*4\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 8. Let t be (-6)\/972*(-4)\/6. Let w = -725\/972 - t. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 11:48 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/12 + 3*y**3 - 11*y**2\/2 + 15. Let h(t) be the second derivative of k(t). Let q be h(-13). Is -9 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11580\/42653 - (2 + 32\/(-17)). What is the nearest to 4 in -0.8, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65163 is divided by 435?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5644 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 216*s - 214*s = -5, -3*s - 11 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.2. Suppose -3*g = 2*v + 11, v - g = 6 + 1. Let i = 1 - 0.5. What is the closest to 0 in i, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1841803244 to the nearest integer?\nAnswer: 42916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 35 = -14*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6410 + 6410 - 582*k**2.\nAnswer: -582*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b**3 - 74 + 21*b**3 - 10*b + 8*b + 76 - 17*b**4 to the form h*b**4 + o*b**3 + g + u*b + s*b**2 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 - 766*x**2 + 154*x - 149. What is g(153)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -39. Let a = r + -89. Solve -i - 3 = a*b, 2*i + 14 = -b + 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-96)\/(-45) + -1. Suppose 3*k + 475 = 5*f, -4*k + 3*k = 0. Let b = f + -94. What is the nearest to b in 1, -5, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*r, -7*n + 2*n + 120 = -4*r. Suppose -355*h + n = -354*h. Calculate the smallest common multiple of h and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 120*d**2 - 689*d - 68730. Calculate m(-121).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-117075)\/(-4875) + 19 + -43\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in 0, -2, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 9*y**4 + 73*y**4)*(8 - 33 - 14).\nAnswer: -2457*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let l(o) = -38*o + 312. Let z(j) = 8*j - 71. Let u(v) = 6*l(v) + 28*z(v). Determine t(u(y)).\nAnswer: 32*y**2 + 1856*y + 26912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 35*k**2 + 3*k + 5. Is u(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 - 11*r + 3. Let s be o(-11). Let y(q) = -q - 11. Let m be y(-6). Suppose 0 = 2*l - h - 5 - 5, -4*h = -4*l + 24. Sort s, l, m.\nAnswer: m, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80597509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 3 - (3 + -15). Let r(z) = -z**3 + 12*z**2 + z - 7. Calculate the remainder when 14 is divided by r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 2975 = -11327. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73661, 73656, 73649, 73640?\nAnswer: 73629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, 4, 0.7, 316 in descending order.\nAnswer: 316, 4, 0.7, -1\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 89888 and 3325910\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -856.1 - 27235155605?\nAnswer: -27235156461.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1423, 5265, 11677, 20659, 32211, 46333?\n\"Answer: 1285*b**2 - 13*b + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718095705.\nAnswer: 5, 343619141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4440)\/(-333)*18\/(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/15 + 147886*w\/15 + 98588\/5 = 0?\nAnswer: -73941, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2 - 12 = 0. Solve -y - 4 = -w, 2 = s*w + 2*y - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/35, -0.1, -5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v + 1. Let x be g(5). Suppose 2*m = 2, p = -0*m + m + 2. Solve 3 = r - 3*q + 5, p*r + q + x = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + h + 98 = 92, 3*j = -9*h - 246 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 27. Suppose 46*u - 157*u = 35*u - 1606. What is l(u)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.860712 years to decades.\nAnswer: 0.0860712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 256*x**2 + 4252*x - 1700 = 0.\nAnswer: -17, 25\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -186375 divided by 5\nAnswer: -37275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18711)\/90)\/(-9) + (-2)\/20. Factor -6*v**2 + 13*v**4 - k*v**4 - 38*v**4 + 164*v**3 - 114*v**2 + 5*v**5 - v**5.\nAnswer: 4*v**2*(v - 6)*(v - 5)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58556 + 13526476\/231. Let i = v - 1\/33. Let h(d) = -d + 4. Let o be h(3). Which is the third smallest value? (a) o (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(5) + 1 + sqrt(320) + sqrt(40)\/sqrt(128) + 0 + sqrt(10)\/sqrt(2).\nAnswer: 5 + 41*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3469, 16213, 38227, 69511, 110065?\nAnswer: 159889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 8316288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*j + 19, 2*j + 51*m - 50*m - 9 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 80\/3)*(-114)\/(-38). Let x = p - 28. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -597*(-1 - -3)\/((-102)\/221) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*h**2 + 662*h**2 - 334*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6881 and -130.\nAnswer: 89.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10, -0.1 in descending order.\nAnswer: 10, 6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*w - 9, 2*q - 6 = -2*w - 2*w. Solve -27 = -4*f + w*k, f + k - 4 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 16, -0.05, 9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1339 and 2163.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -24. What is the common denominator of 466\/(-40) - c\/24 and (-3)\/(-21)*(-3)\/((-60)\/(-790))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -113. Let x = 33 - 58. Let r = o - x. Solve -4*i - 3*v + 3 = -19, -v + r = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59680391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10841142*u**4 - 7*u**2 - 7*u - 194416 wrt u?\nAnswer: 260187408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202220 - -10?\nAnswer: 2210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -148633 divided by 2?\nAnswer: -148633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.101 + 11.701. Let m = q - 10. Suppose -3*n - 2*h = 296 - 267, 5*h + 70 = -5*n. Is m equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:27 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w**(-4)*w*w**(-2\/25)*w\/w**3)**(-2) assuming w is positive.\nAnswer: w**(-196\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a + -4?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 8. Let v = 95 + -99. Let s be (6\/v)\/((0 - -3)*-1). Sort b, -1, s in descending order.\nAnswer: b, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 897101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 33.13. Let t = 0.04 + k. Let f = t - -0.21. Round f to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -328, -604, -990?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(56)*5)\/sqrt(512) - (-3 + (sqrt(28)*1)**2 + -3).\nAnswer: -22 - 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6.87*-1718\nAnswer: 11802.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bb3 (base 13) to base 5.\nAnswer: 201044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*k, -k - 4*x = 4*k - 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 46a74028?\nAnswer: -46a74030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2043 + -2029. Solve 56 - 140 = t*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25493 and 992849.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3091476 divided by 2922?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbuunbb. What is prob of sequence nbn?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 194215 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, m: 6, g: 3}. Give prob of sequence yyy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 - 11*y**2 + 14*y**2 + 26 + (-6*y + y + 3*y)*(3*y + 0*y - 2*y) + 0*y + 0*y + y**2.\nAnswer: -4*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let n(u) = u**3 - 8*u**2 + 2*u - 11. Let a be n(8). Let o = 7 + -3. Solve 2*l = -a*f - 21, o*f + 14 = l - i*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/40)\/(3\/(-10)))\/((-238)\/153).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3\/7 (c) -13 (d) 1 (e) 0.1926 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 60*r + 12. Does 16 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3065 to 2 dps.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3*a = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 194*u + 353 + 199 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -8 + 3 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 p, and 1 t when four letters picked without replacement from bpuepts?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2419 and 16930\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 14a788?\nAnswer: -14a789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**3 + 28*i**2 - 7*i - 13. Does 3 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573218271 a multiple of 716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -51. Let m = g + -14.8. Let o = m - 4.19884. Round o to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**3 - 8*p**2 - 8*p. Let s(d) be the second derivative of d**5\/4 - 7*d**4\/12 - 7*d**3\/6 - 4*d. Give -6*a(b) + 7*s(b).\nAnswer: -b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6669\/(-324) - -20)\/(-75 - -19)?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 36908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = -21. Suppose x + 4*w = 2*x - 3, 36 = 3*x - j*w. Suppose -x*d + 10*d = -55. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -63 + 39 + 5*s + 36 - 3*s. Determine h(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101*14.3\nAnswer: 1444.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - 2*sqrt(448)) + 3)**2 + (sqrt(448)*-4 + 5 - sqrt(448))**2.\nAnswer: -448*sqrt(7) + 11682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 9*b**3 - 2)*(1 + 1 - 1 + (2 + 4 - 5)*(0 + 2 - 4) + 0 - 1 + 2 + 2 + 1 + 0).\nAnswer: -27*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 6. Determine z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/3 - 368653*y**2\/3 - 737309*y\/3 - 122885 = 0.\nAnswer: -1, 368655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 6*w**2 + 7*w - 8. Let x be q(5). Put -4\/3, 0.1, x in ascending order.\nAnswer: -4\/3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + -0.1. Let j = m - -1. Let k be 8*3\/(-9) - -3. Which is the closest to 1? (a) 4\/3 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab4a0 (base 14) to base 6.\nAnswer: -12522312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1160329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48937, 97695, 146453, 195211, 243969?\n\"Answer: 48758*y + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssaaasaasaasaaaa. What is prob of sequence aasa?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 82 = -5*u, w + 3*w = 4*u - 120. Suppose -17*l + 10 = -15*l. What is the lowest common multiple of 15*(-2 + (-3 - w\/6)) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 3*a = 12, -a - 4 = -3*z. What is the second derivative of 2*o**4 + z*o**4 + 3*o - 4*o**4 wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((2 - -1) + (-844)\/282) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -20942?\nAnswer: -41884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119 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 f = -148.1 + 151. Let u = f + 95. Round u to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 368*j - 19305\/4.\nAnswer: (j - 1485)*(j + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m - 31*m**2 + 12*m**2 - 4 + 18*m**2. Let f(o) = o**3 - 17*o**2 + 29*o + 9. Let l be f(15). Determine h(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -13.\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {t: 1, f: 2, z: 12, p: 1, g: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*x + 36*y - 31*y, -y = -4*x + 47. Solve x*t = -54 - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30695120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u + 757. Let y(a) = 1100*a. What is k(y(f))?\nAnswer: -8800*f + 757","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**2 - 6*b**2 + 21*b**2 - 5*b**2 as y*b + c*b**2 + x and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -3. Let q = -12.6 - j. Let o = 0.54 - -3.46. Put o, q, -0.6, 0.1 in increasing order.\nAnswer: -0.6, 0.1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.349927 years?\nAnswer: 112.199124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t + 3*w + 1, 0 = -4*t + w - 14. Let i(g) = -g + 1. Let y be i(t). Solve y = 3*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4692 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 2. Let x be i(2). Let f = 4 + x. Let n be f\/6 + (-3604)\/(-6). Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4\/7 (b) 0.24 (c) 295\/6 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a\/((a*a**(-2\/13))\/a))**21 assuming a is positive.\nAnswer: a**(2226\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 9*m - 48. Let o(n) = -n + m - 8. Let l(b) = -14*b**2. Determine o(l(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (4 + sqrt(931) - sqrt(931) - (-3 + sqrt(19) + 4)) + 2)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3538957, -3538680, -3538403?\n\"Answer: 277*p - 3539234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7113766036.00000057 - -7113765950. Let w = 86 + r. Round w to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 8*z**2 - 12*z + 3. Let f be s(-6). Let g = 2 - 2.3. Let p = g + 0.2. Which is the nearest to p? (a) -1\/3 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 4 = -7*j. Suppose 0 = p - j, 12 = f + 3*p + 6. Suppose 0*i + 5*i + 12647 = 4*v, i + 9488 = f*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 67 - 76 = -55 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k + 6. Let j be 5\/(5\/(-8)) + 3. Let h be g(j). Which is the third smallest value? (a) 0 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 497. Let t = s + -338. Which is bigger: -5\/9 or t?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098506546 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 46*q - 11. Determine a(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 0*k**5 + 2*k**5 + (-k + k + 5*k)*(-2*k**4 - 4*k**2 + 4*k**2) - 2*k**5 + 3*k**3 - 3*k**3.\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (1*sqrt(7))**2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198000053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10827 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/11505 and -17\/5310.\nAnswer: 69030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(1100) + 3 + 2 + (3*(sqrt(1100) - (sqrt(1100) - (sqrt(1100) - -1*sqrt(1100)))) - (sqrt(1100) + 0 + -3)))*-5)**2.\nAnswer: 108000*sqrt(11) + 3968100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixrpxrpixxrxxihh. Give prob of picking 2 r, 1 i, and 1 x.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31351, 31364, 31377?\nAnswer: 31390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 7508 - 2438. Is d at most as big as 390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 690, 665, 640, 615, 590?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((0 - -2) + -2). Let g(n) = -n + 12. What is the units digit of g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100110 (base 2) in base 10?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*x - 5 + (5*x - 5*x + 6*x)*(0 - 4 + 2))*(0*x**2 + 0*x**2 - x**2) in the form w + l*x**3 + i*x**2 + r*x and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172550 divided by 6902?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 395*a - 397*a = 10, 2*h = 3*a - 11. Let g(n) = -n**3 - 2*n**2 + 3*n - 6. Calculate g(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42288 - 2*k**4 + 42285 + 5*k**3 - 2*k**3 - 8*k in the form b*k**3 + y*k**4 + j*k**2 + n*k + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 37\/(-3) - (-2)\/6. Let u(j) = j**2 + 12*j. Let c be u(y). Solve c = -4*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 27. Calculate the common denominator of (u\/(-8))\/(3\/124) and 53\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(45) + sqrt(45) + sqrt(45)*1 + sqrt(45)))\/(3*sqrt(36))*-4.\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:21 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 4*n**2 + 4*n - 1. Let u(i) = -2*i**3 - i**2 - 4494*i + i**3 + 4493*i. What is l(b) + 4*u(b)?\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkg when three letters picked without replacement from {k: 1, c: 4, g: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*x - 50, 5*x - 20 = -60 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*d + 248, d - 4*d + 5*a = -154. Let q = -61 + 25. Let c = 60 + q. What is the highest common factor of d and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 - 15 = 0. Let y be w\/4 + 4\/(-2). Solve 0 = 4*r - y*r + 3*o - 20, 2*r - 10 = 3*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -29, -39, -49, -59?\n\"Answer: -10*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 - 7*k + 19. Let o be i(-9). Let a be -5*5\/(-325)*o*2. What is the closest to -1 in -5, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/164 - -323\/820. Suppose -8 = 5*l - 3. What is the third biggest value in r, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (-3*1*sqrt(171) - sqrt(171)))\/(-1*sqrt(1089))*-1)**2.\nAnswer: 171\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-7))\/(4\/14). Let k(j) = j**3 - 7*j**2 + 6*j - 1. Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 95 = -5*k, 4*k + 0*k - 88 = 4*u. Calculate the highest common factor of 68 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vozvmmmzmmvzmvzmvmmz. What is prob of picking 1 m and 2 v?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 2. Let s be c(-4). Let o be (s - 5)\/(2\/4). Suppose 0 = 3*i - y - 56, o*i + 3*i = -5*y + 80. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-24) - 1 - 3993\/(-4356). Is -8\/3433 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 34*g + 21. Let d be v(16). Let p be (1 - -1)*160\/(-64). Sort p, d, 1 in descending order.\nAnswer: 1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -614*m**2 - 1804*m + 1. Let f be h(-3). Which is smaller: f or -0.7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 2. Let m be a\/9*(-5 - 1). Let u be -1 + (8 - 4) + m. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7*r + 3*r + 2*r)*(45 - 21 - 22) + 4*r + r + 1 - 6*r)*(-r + 47*r**2 - 47*r**2 + 6*r**3) in the form h + f*r**2 + d*r + v*r**3 + g*r**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11342, 11382, 11494, 11714, 12078, 12622, 13382, 14394?\n\"Answer: 6*o**3 - 2*o + 11338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = -0*m. Let n = 3 - m. Solve n*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Suppose h - y = 3*h. Does 14 divide 30 - ((0 - h) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -0.36. Let y = 245 - 239. Let q be 2*((-2 - 3) + y). What is the third smallest value in i, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 68 = 0. Suppose -3*m + 7*m = -104. Let c = x + m. Calculate the common denominator of -95\/2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -z + 1256, 4*z - 4*d - 1912 = 3128. What are the prime factors of z?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 291686*t + 4. Let r(f) = -3*f**2. Determine u(r(q)).\nAnswer: -875058*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 111081528548\nAnswer: -111081528547.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392493?\nAnswer: 29, 48017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6357919 and 7057415?\nAnswer: 12491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 29*k + 82*k - 21 = 32*k - 3*z, 24 = 5*k + 4*z - 42 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*3\/24*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.81, -0.3, -1\/15 in decreasing order.\nAnswer: 0.81, -1\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0 (c) -3\/8 (d) -2 (e) -0.0121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.107 - 2.893. What is the second smallest value in -0.3, z, -322?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = 74*r + 98 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/104*4\/10)\/((-2)\/80).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(112)*2 + -5) - 1*(sqrt(112) + 0)*-5)**2*3.\nAnswer: 240*sqrt(7) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.90917 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*a + 0 = 17, -1 = 4*l + 3*a. Suppose 6 = l*r + r. Is 12 a factor of (3 - r) + 3 + 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 700.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -45584057?\nAnswer: -45584055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -195 times -0.03\nAnswer: 5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -7. Let b(t) = -t**2 + 11*t - 12. Let u be b(9). Suppose u*l - 12 = 4*l. Calculate the remainder when f is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -698, -1051, -1404?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 232.51897385 - 215.518973. Let v = s - 17. What is v rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11))**30*o**7\/o**(-2\/7) assuming o is positive.\nAnswer: o**(141\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-21) - (3\/5)\/(1127\/(-5635))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 319 = -1645. Let m be c\/12 + (-2)\/8. Suppose -q + 22 = -f, -39 = -4*q - 2*f + m. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 2970.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11430 + 1409*r + 735*r + 5721 + 5709.\nAnswer: 2144*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (0 - 3))*1. Let d = 3 + t. Let y(k) = 2*k**3 + k**2 - k + 1. Is y(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.00005. Let q = 1.1 + -1.1. Let r = v - q. Round r to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1254781, 1254782, 1254783, 1254784, 1254785?\n\"Answer: w + 1254780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 125 - 67 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-7)*s)*s)\/s*s**(-1\/4)*(s*s**8)\/(s\/s**0)*(s\/s**4)\/s*s*s\/(s\/((s*s**(-3))\/s))*s*(s*s*s**(1\/4)*s)**(1\/27) assuming s is positive.\nAnswer: s**(-331\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3804)\/1585)\/(3\/5*2\/22).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - y = 2*y + 33, -5*y - 17 = -2*a. Let k(n) = n - 6*n + 1 - n**2 + a*n. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 3*h**2 - 9*h + 5. Let d = -60 - -55. Let p be s(d). Suppose 4*w - w - 108 = p. Calculate the highest common divisor of w and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34992 + 24.4.\nAnswer: 35016.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14411*y = -14421*y + 70 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3135?\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -40040 divided by -11\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2. Let h(y) = -337*y**2 + 2*y + 2220. Determine h(w(l)).\nAnswer: -5392*l**4 + 8*l**2 + 2220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 32661957.\nAnswer: -97985871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 42, 34, 26?\n\"Answer: -8*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lycdlcclclyllldl. What is prob of sequence ddyc?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-42) - (-13 + ((-184)\/(-14) - 13)*101)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let a(u) = -9*u. Let x(p) = -a(p) + 12*g(p). Let q(f) = f. Calculate q(x(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 0.22, -23011?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -16830 and -31270.\nAnswer: -48100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 89 - (0 + 18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*r - 30, -r + 2*a + 27 = 4*r. Suppose -2*l + 0 = -4. What is the third derivative of 4*j**r - 2*j**5 + l*j**2 - j**2 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**2\/7 - 226*k\/7 - 120 = 0.\nAnswer: -7\/2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:17 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 180201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*b = -5*u - 20250, 0 = -2*u + 2*b - 8100. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 81.07327cm?\nAnswer: 0.8107327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 2, l: 6}. Give prob of picking 1 l and 1 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 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: What is the value of (-17)\/((-714)\/(-70))*-9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.104371\nAnswer: -0.417484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 151, 206, 253, 298, 347?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Let b(c) = 635*c**2. Determine j(b(y)).\nAnswer: -403225*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.287 - -6.087. Round m to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + -1 - 0) + -44 + 48.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 6*i. Let f(l) = l**i + l**2 + 0 + 0. Let u(n) = 4*n**2 + 3. Let k(w) = -11*w**2 - 8. Let o(x) = 3*k(x) + 8*u(x). Determine f(o(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u - 48. Let o = -12 - u. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -5, -0.6, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 47054931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1813974\/11 or -164906?\nAnswer: -1813974\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 8*x**2 - 11*x - 8. Let w be (-32)\/4 + -4 + 7. What is the hundreds digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*((-1)\/50)\/((-465)\/(-4650)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m - 5. Suppose 2 = -p + 2*p. Let r = p + m. Sort -0.5, -2\/3, r in ascending order.\nAnswer: r, -2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(440\/385).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 2, z: 2}. What is prob of sequence zaz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 2*w + 2. Let h(u) = 3*u**2 - 5*u - 5. Let q = 31 + -85. Let r = 57 - q. Let z be 4\/14 + r\/(-21). Give z*a(f) - 2*h(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - -3.87. Let k = -9.88 + 10. Let d = k - 0.02. Which is the nearest to 2\/5? (a) d (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529669424 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220221012101 + -1?\nAnswer: -1220221012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8, f - 302 = -4*f - 2*m. Let l = -35 + 69. Suppose -5*b + l = -71. What is the remainder when f is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let l(u) = -1 - 14 + 5 + 10 + 383*u. Give l(i(t)).\nAnswer: -383*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-14)\/d)*d*d**(7\/2)*d*d assuming d is positive.\nAnswer: d**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 225*b - 1670. Determine f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2444832, -4889669, -7334516, -9779379, -12224264, -14669177?\n\"Answer: -y**3 + y**2 - 2444833*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -1. Let o be 0*(5\/m + 2). Let f be ((-1)\/(-6))\/(12\/27). Does f = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267 + 371. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from ititttttttt.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v)\/(v**(3\/4)*v) assuming v is positive.\nAnswer: v**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 399, 398, 397, 396, 395, 394?\n\"Answer: -q + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*i - 2*j - 673, i = 4*j + 335. What is the remainder when 14845 is divided by i?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1355031 and 0.3.\nAnswer: -406509.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42 and -40\/94875629.\nAnswer: 94875629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.508358180714 - 0.1.\nAnswer: 10.408358180714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:57 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 11*z - 41, -36*k - 28*k - 5*z - 10 = -52*k + 29 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/6*(7\/(-5))\/(-7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 300784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.8 - -6. Let o = j + 5. Let d = 5.9 + o. What is d rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36819714.\nAnswer: 2, 3, 6136619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 46 = -z + 14*d, -5*z = -3*d - 286. What is the remainder when 18283 is divided by z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16 = -3*l. Suppose -3*t - l*g + 125 = -9*g, 5*g + 55 = t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/40 - c**4\/12 + c**3\/6 + 42*c**2. Determine o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (0 + (-121967)\/(-24)). Let q = 5083 + y. Calculate the common denominator of (1 - (-1112)\/48) + -9 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-126)\/60*-4*15\/6. What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 6*a - a)*(-38*a**2 + 20*a**2 - 6*a + 20*a**2)*(2 + 3 - 2)*(-1 + 1 - 2*a).\nAnswer: -60*a**4 + 180*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 + (5 - 3) - 7) + (547 - 539)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5)*11 - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 4780750?\nAnswer: -382460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 29 + 0)*(3*r + 3*r - 4*r) in the form k + s*r and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9360, 37446, 84256, 149790, 234048?\n\"Answer: 9362*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582 is divided by 529?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56 * -1.64\nAnswer: 91.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 758328 (base 11) in base 14?\nAnswer: 237791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-6)\/(-10)*(-710)\/426) + 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 12*z + 84. Solve 5*j + 15 = w + 3*w, 3*w = 3*j + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/13120 and -27\/147712.\nAnswer: 30280960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9057811977\/154 + -58816732. Let q = n + -2572\/11. Calculate the common denominator of 17\/8 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 3*r + 5*l, -3*l + 159 = 3*r + 3. Let m be 51\/r - (-1 + 2). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348*o**4*p**3 + 9*o**4 + 5*o**3 - 642468*o**2*p**3 wrt o?\nAnswer: 8352*o*p**3 + 216*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -32165355.37 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88962 + l - 88962.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 2*h**5\/15 + h**2. Let c(j) = 3*j - j - 3*j - j. Calculate k(c(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 divided by -201?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 46547547.19 to the nearest 100000.\nAnswer: 46500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-45)*-5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209256757 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18*(-45)\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxsx when four letters picked without replacement from {x: 5, s: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -17, -37, -65, -101?\n\"Answer: -4*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**6\/360 + o**5\/60 + o**3\/2 + 5*o. Let k(a) be the second derivative of t(a). Find c such that k(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 815406 and 242418.\nAnswer: 8969466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 3*h - 2. Let r = -11 + 7. Let f be v(r). Solve -2*t + 0 - f = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 8 = -4*d, -5*d = -3*i + 10. Suppose -80 = -4*q - i*q. Suppose 4*k + 2*x - q = -2*x, -4*k + 17 = x. Solve -h + k = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 29*p + 2 = -26*p, 4*s - 2 = -2*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-24 - (-4 + -41)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -855.97085 + 856. What is j rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + 12*k + 3. Let p(j) = -11*j**2 - 25*j - 6. Let y = -803 - -809. Give y*p(x) + 13*q(x).\nAnswer: -x**2 + 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**3 - c**2. Let g be s(-1). Suppose 4*i - 31 + g = 0. What is the third derivative of 3*l**2 + i*l**3 + 0*l**2 - 3*l**3 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0*s - s - s - s. Let y = 4 - 7. Let b(g) = g**2 - 4*g. Let m(f) = -3*f**2 - 73*f - 20. Let o be m(-24). Calculate o*t(r) + y*b(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 29 - (-25 + 55 + -31)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155194201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117521, -117522, -117525, -117530, -117537?\nAnswer: -117546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldljlyiisylllil. What is prob of picking 1 s and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*b + 1, -100*u + 96*u = -2*b - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 37. Let u = 157 - 157. Suppose u = s - 0 - 2. Let x(w) = 15*w**2 - 33. Let y(z) = -z**2 + 2. What is h*y(a) + s*x(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 1\/4, 9\/7, -4, -1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15209*z + 15571*z - 2896 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 137 = -3*i, 92 + 222 = 2*k - 2*i. Let p = -149 + k. Let l = -1 + 5. Solve -p*c = -7*c - l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/21 - 0) + 2\/(-21)\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**2 + 3*f**2 + f**2 + (-1 - 2*f + 1)*(3*f - 2*f - 2*f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwsyg. Give prob of picking 1 g, 1 s, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1859981\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/5)*j)*(j*j*j\/(j\/j**12))\/j)\/(j*(j\/j**(1\/4))\/j)**(-32\/5) assuming j is positive.\nAnswer: j**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.35666 decades in years?\nAnswer: 423.5666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + 1 + -24. Let i be 9\/(108\/(-8))*(3 - 39). Let t = i + u. Let n(y) = y - 1. Let d(p) = 4*p - 2. Determine t*d(j) + 2*n(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(3\/18))\/(14\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 3.7 (c) -260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.2, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19492, -77891, -175224, -311491, -486692?\nAnswer: -700827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40 + 3)\/(-2 + 1). Let t = h + 31. Calculate the lowest common multiple of 0 - ((-8)\/t)\/(2\/(-9)) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 504?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7281005000 to the nearest 1000000.\nAnswer: 7281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/120 - f**5\/30 - f**4\/24 + f**2. Find z such that w(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 - 6*p + 2. Let b be a(6). Suppose 3*v - 3 = -k, b*k - 2 = -3*v + 4. Suppose v + 16 = 4*u. Solve -20 = 4*w, u*l = l + w - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 7. Let f = -8 + 17. Let y be q(f). Let x(k) = k**3 - k**2 - 2*k + 3. Calculate x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 = -3. Let q be (3\/2 - 1)*-6. Let i = q + 8. What is the remainder when i is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-4 - 14) - 13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - b + 6*b, -2*b - 4 = 0. Let m be 1141\/14 - -1 - v\/(-4). Suppose 4*d - 5*r - 204 - m = 0, -3*r + 405 = 5*d. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q = 19*q + 75. Let o be -1 + -1 + 24\/2. Suppose 4*m + o = 70. Solve -10 - m = -q*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 85.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 38860.3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-2)*m))\/m**6)**(-49))**(7\/2) assuming m is positive.\nAnswer: m**686","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-105)\/20))\/((-10)\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 14 - 2*y - 6*y**2 - 8*y + y**3 + 2*y**2 - 2*y**3. Let d be l(-4). Solve -d*j + 4*j = 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(0 - (-1 + 2)). Is (-35 + -1)\/(b\/2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1496034 - 570309424.\nAnswer: -568813390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1 - 7 + 1 - 4*f - 5. Does 20 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -111*h**4\/8 - 12*h**3 - 28*h**2. Suppose 347 = -11*p - 445. Let r(l) = -23*l - 5. What is p*r(o) + 5*w(o)?\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48111149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 6*f**2 + 167 + 169 - 330. Let k(q) = q**2 + 1. Calculate 4*k(p) - t(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 74*c.\nAnswer: 74*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 22\/44 - 2\/(4\/(-70293))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -110 + -3 + 8 + -7 + -23 + 31.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3 - 2745*t**2 + 90651*t - 247167 = 0.\nAnswer: -947, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -3*h. Let b be -54 + (-2 + 8)\/3. Let a = b - -65. Solve 0 = 3*s + h - a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1965*z - 21572*z**2 - 3805*z**3 + 21572*z**2 + 87*z wrt z?\nAnswer: -22830*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8*m = -12. Is m - 0 - (-5 + -252) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -17 + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 12*c + 5. Is d(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnmv when four letters picked without replacement from ewvbmmnw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -257.86 and 4.\nAnswer: -253.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 3. Let c be r(-6). Let s(a) = 10*a**2 + 9*a + 3. Let b(v) = -1. Let i(o) = c*b(o) + s(o). What is the second derivative of i(x) wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5 - 1449*o**4 - 595623*o**3 - 49069603*o**2 + 203472336*o - 205878060 = 0?\nAnswer: -669, -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -231109?\nAnswer: -231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55753765?\nAnswer: 5, 443, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291198 - 616802 = -4*b. Round b to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1152\/(-357))\/8 + 6\/51. Which is the biggest value? (a) l (b) 1 (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37124897827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, m: 1, d: 1, l: 1, n: 1}. Give prob of picking 1 l and 2 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/765 and 151\/8460.\nAnswer: 143820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91.2*-0.06.\nAnswer: 5.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd - d9d?\nAnswer: -ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (91\/(-273))\/((2\/158331)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103213.7781 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 86768.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 786\/187 or 5?\nAnswer: 786\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -453200 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56057 (base 9) in base 11?\nAnswer: -25a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1449 or -6?\nAnswer: 2\/1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34503094 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -656*o**3 + 8*o**2 - 23*o?\nAnswer: -3936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -135891 to the nearest one hundred.\nAnswer: -135900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 + 4*p**2 - 4*p**2 + (3 + 2 - 6)*(14 - 4 + 1)*(-4*p + 3*p + 0*p)*(-33*p**3 - 29*p**3 + 89*p**3))*(-1 + 1 - 1).\nAnswer: -299*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 102121120221 (base 3) to base 6\nAnswer: 4522211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 74, 103, 120, 119, 94, 39?\n\"Answer: -v**3 + 3*v**2 + 33*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 13*u + 13. Determine b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(972) - sqrt(972))\/sqrt(6))**2 - (sqrt(18) + -1 - (sqrt(2) + sqrt(24)\/sqrt(108) - sqrt(2))).\nAnswer: -8*sqrt(2)\/3 + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000276022 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(9)*-4)*-6)\/((sqrt(14)\/(sqrt(7) - (sqrt(28) + sqrt(7))) - sqrt(2)) + sqrt(2) + (sqrt(50) - sqrt(50)*2)).\nAnswer: -3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 8*l**2 + 7*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -3.1911 in decreasing order.\nAnswer: 4, -1, -3.1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((4\/(-2))\/((-6086)\/179))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14 - 10 + 43 - 7 + 278*d - 12. Let b(m) = -2 + 2 - m**2. Determine c(b(f)).\nAnswer: -278*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g - 1. Suppose 3*k - 35 = -w, k = -5*w + 173 - 54. Let p = w - g. What is the least common multiple of 20 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 + -2 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -165540 divided by -4?\nAnswer: 41385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24106.96 centuries in years?\nAnswer: 2410696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111011110101000 - -11010100?\nAnswer: -110111011011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91.62713l?\nAnswer: 91627.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-3)\/3150 - 0. Let v = 286\/1575 - o. What is the common denominator of 16\/5 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*x + 1645, 498 = 4*x + 2*m - 840. Calculate the remainder when x is divided by ((-67)\/3)\/(4\/(-12)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 6. Let x be (1 + a)\/(19 + -23). Solve -3*v - 4*c + 10 = x, -2*c + 18 = -3*v + c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bggcgccgggbccucbgb. Give prob of sequence cgg.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2985125kg?\nAnswer: 298.5125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14396 and 1220.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 44\/77*(-17 - (-1012)\/69)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*t**3 - 1 + 0*t**2 - 2*t**4 + 6*t**2 + t**2 + 3*t**4 - 2*t**2 as v*t**4 + n*t**3 + z + x*t + h*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.04, 1\/8, -0.3, -0.55, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 18*r + 196 = -4*s, -4*r - 3*s = -182. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519711 is divided by 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + (-204)\/(-28). Suppose z*p = 2*p + 15. Suppose -t = 2*h - 59, -p*h = -3*t + 2*t - 86. Solve 0 = -2*u - u + 5*b - h, -18 = 2*u - 3*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1337.5 + 1329.4. Put -0.1, -2.3, u in descending order.\nAnswer: -0.1, -2.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 4. Let f(o) = -o**2 + 6*o - 2. Let s be f(q). What is the common denominator of -58\/7 and 2\/s + (-186)\/(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -h + 44, -4*o + 3*h + 166 = 5*h. Let v = -2 + o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 40 - -33) + (-4 - -8) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 20. Suppose b*a - 113 = -3*z, 0 = -4*z + a - 5*a + 148. What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397.03599944 + -397.11. Let y = d + 0.074. Round y to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2707 (base 8) to base 4\nAnswer: 113013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from {t: 7, q: 4, f: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -3*f**4\/4 - f**2 + 2*f + 2. Let h(t) = 4*t + 17. Let m be h(1). Let n(o) = -30*o**3 - 21*o + 21. Determine m*d(b) - 2*n(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u. Let n be (-6)\/(1\/3*9\/(-2)). Suppose n*c = 4*v + 4, -4*v + 19 = -3*v + 4*c. Solve u = v*h - 3*d - 6, -h = 3*h - 5*d - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/13595772 and 67\/636?\nAnswer: 13595772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002109546751 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2482 - (4 + 0)) + (-3)\/3. Let d = c + -1638. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 1\/3, -2, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 55*n**2 + 9449*n - 2095. Give y(-172).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g*g*g**(-1))\/g*g))\/(g\/(g**(-4)\/g*g)*g) assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116691660227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1007784, 1007781, 1007778, 1007775, 1007772, 1007769?\n\"Answer: -3*c + 1007787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056588542 to 5 dps.\nAnswer: 0.00566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)\/d)\/(d*d\/((d**(14\/3)\/d)\/d))*(d**(-4)\/d)**(-9) assuming d is positive.\nAnswer: d**(1081\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 207 = -2*v, 2*a + 208 = -4*v + 6*v. Solve 0 = 74*s - 39*s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.61201 to one dp.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-144)*9)\/(6\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:22 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(1\/2)\/((j\/(j**(-4)\/j))\/(j**7*j)) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 96225.6?\nAnswer: 9622.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 935.1779 millilitres?\nAnswer: 0.9351779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*k + k - 86 = 0, -k = -5*g + 215. List the prime factors of g*(-3 + 2 + 2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -50*h**3 + 2*h**2 - h - 2. Suppose -5*a + 0 = 5. List the prime factors of g(a).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6)*-9*(-1 - -2). Solve 0*v + j = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 13*h**2 - 22*h.\nAnswer: -h*(h - 11)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 111386 = 51*w. Calculate the greatest common divisor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/18 and -65\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -65 = -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/314666 and -71\/143030?\nAnswer: 1573330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piisqiqvjjiq. What is prob of sequence vi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7320 and 1660?\nAnswer: 607560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 8*u**2 + 10*u + 3. Let q(y) = 5*y**3 + 32*y**2 + 40*y + 12. Let g(m) = -9*d(m) + 2*q(m). Let f be g(9). List the prime factors of 18\/4*f\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/12 - 5*h**3\/3 - 7*h**2\/2 + h. Suppose z + 24 = -3*t, 3*z + 3*t + 2*t + 52 = 0. List the prime factors of c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -50.379042.\nAnswer: 25.189521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/7 - 20*d**4\/7 + 2*d**3\/7 + 408*d**2\/7 + 9*d - 2052\/7 = 0.\nAnswer: -19, -4, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 2*j**2 - 36*j + 75636. What is the thousands digit of f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 14. Let y(u) = 13*u**2 + 6*u - 61. Give y(m(q)).\nAnswer: 117*q**2 - 1074*q + 2403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 3*r - 2. Let c = 4 - 8. Let t be w(c). Suppose 0 = t*u + u. Solve u = -2*s - 9 + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5703324, 5703325, 5703326, 5703327, 5703328?\n\"Answer: h + 5703323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**6\/6 - 8*t**3\/3 - 10*t. What is the second derivative of q(m) wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -45 - (0 + -4 + 9). Is (-2463)\/(-5) + -2 + (-20)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32842091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2) + 1)\/((-145)\/290)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65637 or -65666?\nAnswer: -65637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t, -g - 4*t = -11 - 8. Suppose g*r = 3*r + r. Solve r = -2*k + 3 - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435846.\nAnswer: 2, 3, 17, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5200 and 31150?\nAnswer: 3239600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -6. Let n be 4 - 1\/(t\/188). Is -12 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 (base 9) in base 12?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 151.\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -124?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 75, 492, 1189, 2166, 3423, 4960, 6777?\n\"Answer: 140*u**2 - 3*u - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 83, 296, 723, 1436, 2507, 4008?\nAnswer: 6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*z - 4. Suppose z*t + 0*t = 30. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:27 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 + 5*n**3\/2 - 3*n**2.\nAnswer: -n**2*(n - 3)*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 + 3*n - 3. What is the common denominator of h(5) and -59\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 7441098.\nAnswer: 7441097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b - 7. Let w(o) = -o + 1. Let i(c) = 2*q(c) + 10*w(c). Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5520 - -3?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1545996 rounded to four dps?\nAnswer: -0.1546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1 (c) 2 (d) -14 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29671, 29606, 29541, 29476?\n\"Answer: -65*i + 29736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(230\/23 - 13))\/(5830\/(-44))?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-224)*(-8)\/(-20).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15202498?\nAnswer: 2, 7601249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 54\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25514760 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 304*v**4 - v - 303*v**4 + 0*v to the form x*v**4 + d*v**2 + z + y*v**3 + r*v and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*l + l + 2, -4*l - 20 = -4*h. Let v be 106\/(-6) + h\/(-6). Let i be v\/(-63) - (-300)\/(-1001). Is -1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12843.999980946 + 12844. What is k rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34260493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -10 + -16 + 20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let p be 0 - -17 - (24 - (-1 + 11)). Solve -p*n = c*x - n + 8, 0 = 3*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18382559 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1824770, -3649555, -5474352, -7299167, -9124006, -10948875, -12773780, -14598727?\n\"Answer: -m**3 - 1824778*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/8 + 168\/(-96).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 16*r - 8. Let u be a(16). Let w be u\/60 - 6\/45. Sort 12, w, -3.\nAnswer: -3, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 34, 900.6914 in increasing order.\nAnswer: 0.1, 34, 900.6914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-140))\/((4\/(-1))\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -6*j - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15065325 and 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20423.05 rounded to the nearest 10?\nAnswer: 20420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630971598?\nAnswer: 2, 3, 105161933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -8 (c) 2.1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/5)\/((-984)\/(-1640)) + (-27 - 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 13 + 13.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 645893068 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1198 + 2350 = 3*a, -a - 4*h = -1206. Calculate the remainder when a is divided by 236.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 121, 26, -18, 43, 2, 3.\nAnswer: -18, 2, 3, 6, 26, 43, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 3893031*b + 7786050 = 0 for b.\nAnswer: 2, 1297675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s + 7*s - s to the form l*s + d and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 5*d**2 - 3*d + 9.\nAnswer: -(d - 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8221229 to the nearest integer?\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 47*a**2 - 162*a + 1978. Is 15 a factor of y(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -101, -323, -747, -1439?\nAnswer: -2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.706142 millimeters?\nAnswer: 7706142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, u: 2, z: 1, b: 1, d: 2}. What is prob of picking 1 i and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 12) + -4 + 8 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -798192*a. Let i(d) = 6*d**2. Give i(g(m)).\nAnswer: 3822662813184*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.341357ms in days?\nAnswer: 0.0000000502471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 797414043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*w**2\/13 - 128162*w\/13 - 10680\/13.\nAnswer: -2*(w + 5340)*(12*w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1284 and -92\/14445.\nAnswer: 57780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9203 - 1408139\/153. Calculate the common denominator of 113\/102 and g.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72699.\nAnswer: 3, 11, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2517 and 33.\nAnswer: 27687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-196)\/280*4)\/(3\/15).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, k: 2, r: 2, c: 2, w: 1}. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -39, 767, 0.\nAnswer: -39, -4, 0, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b - 2*b + 0*b. Let r(k) = k - 6. Let u be r(8). Let d(m) = 18*m**2 + 21*m**2 - 41*m**u. Calculate d(n(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 2)*(-4)\/14. Suppose r*a = a. Solve a*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-1)\/((-6)\/36)). Suppose -13*u + 5*u - 8*u = q. Solve u = 5*i - 20 + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kktywwttta. Give prob of sequence wkwa.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 20816 (c) -834 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927018259?\nAnswer: 1783, 1080773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 71?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 2. Let b be o(-6). Let d be 22\/6 - b\/12. Suppose -d = -m + 3. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -98. What is the common denominator of -10\/11 and (-118)\/l*45\/18?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277711802, 1277711801, 1277711800, 1277711799, 1277711798?\nAnswer: 1277711797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*k = 86*k + 83*k + 5*y + 10, 10*k + 3*y - 36 = 6*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*h + 78386832 + 88081232 = 41385353. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3862*c**2 - 1753*c wrt c.\nAnswer: -7724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + (-23)\/(-483)*49)*(-72)\/60.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24022 (base 5) to base 6.\nAnswer: 12054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 121*h**5\/60 - 2*h**2. Let p(t) = 264 - 150 + 2*t**2 - 114. Give b(p(c)).\nAnswer: 484*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 233040376321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -6 - (-66 - -53)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:03 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15677*h - 15579*h - 5488 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*u + 6*w + 887, 5*u = -7*w + 1117. Calculate the least common multiple of 66 and u.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3 + 3*t**2 - 18 - 10. Let d(u) = 5*u**2 + 110*u - 10. Let r be d(-22). Is l(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92797 is divided by 899?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-10))\/((z\/(z*z\/z**12)*z)\/z))**(1\/29) assuming z is positive.\nAnswer: z**(-20\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/119 + 66\/14. Suppose 0 = -2*p + w*p - 270. Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:20 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*h - 11*h + 22 = 0, 0 = 5*f - 2*h - 50. Solve -t + 5 = 4*r - 6*t, -t + f = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11421501 (base 8) to base 10\nAnswer: -2499393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -321 + -1?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.353 + 0.647. What is the nearest to -3\/2 in 5, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -3\/2 (c) 0.6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -50. What is the closest to -2\/5 in -1\/2, 0, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 18*l + 32. Let o(n) = -n + 1. Let q(s) = f(s) - 3*o(s). Suppose 0*g - 5*g + 43 = w, 2*g - 28 = -w. What is the units digit of q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*f*f\/(f\/f**11*f*f*f))**(2\/21) assuming f is positive.\nAnswer: f**(88\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.454 rounded to one decimal place?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22563\/11 + -2051. Solve 12\/11*l**4 - 18\/11*l - 28\/11*l**3 + 32\/11*l**2 - c*l**5 + 4\/11 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**3\/2 + 8*l**2 + 12*l. Let a(s) = 1. Calculate -4*a(i) - g(i).\nAnswer: -3*i - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77426 + 8179 = 941*l + 5092 for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256 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: Three letters picked without replacement from {t: 3, p: 4, z: 4, f: 1, b: 2}. Give prob of picking 1 b, 1 t, and 1 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + ((sqrt(102) + (sqrt(102) - (sqrt(102) - sqrt(102)*-1)))*4 - sqrt(102)) + 5*1*sqrt(102))\/(sqrt(726)*-4*-1 + sqrt(726)).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 3. Let g be w(-4). Suppose -2*z + 4*o = 0, -4*z - 4*o - 1 = 23. Put 21, z, g, -3 in ascending order.\nAnswer: z, -3, g, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4 + 16. Let m(u) be the third derivative of u**4\/2 + u**3\/6 - 3*u**2 + 302. Let s(j) = 23*j + 2. What is n*s(z) - 11*m(z)?\nAnswer: 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -390 (base 10) to base 11.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.528322m?\nAnswer: 852.8322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -s + 4*m, 4*m = 4. Calculate the greatest common divisor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((1\/(-6))\/(1\/(-3)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2. Let h(c) = 2 + 8*c**3 + 2*c**2 - 3 + 5*c**n. Is h(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/((-132809)\/1180 + 113)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -19 in ascending order.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72*(2\/(-4) - -1). Suppose -24 = -w + k. Let p = 73 + -49. What is the highest common divisor of w and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let r = c - -1. Suppose -4*s = 5*f - 366, r*s + 0*f = 4*f + 259. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.5 (b) -1\/14 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113304 (base 8) to base 10.\nAnswer: 38596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 243 = 3*f, 0 = 5*u - 4*f + 3*f - 601. Suppose 0*l = 3*l - u. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 - (32 - (25 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12262716 (base 9) in base 11?\nAnswer: -3431a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -23*x**2 - 5. Let t(i) = 34*i**2 + 7. Determine -7*q(v) - 5*t(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-18)*7*(-968)\/154.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n, 4*n = 5*t - 414 - 162. What is the least common multiple of 16 and t?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1274 and 279552.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 892 in 4\/9, -1, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302 + 302.186. Let n = z - -3.414. Round n to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -39287\/5795?\nAnswer: -39287\/5795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 - 185 + 89 + 53 - 700)*(29*p + 15*p + 24*p - 1).\nAnswer: -59636*p + 877","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/18*-2)\/((-2)\/(-18)). What are the prime factors of 157 + -4 + (2 - (k - 4))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -4*k**7\/105 + k**4\/4 + 10*k**2. Find the second derivative of q(s) wrt s.\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*b + h - 90, h - 180 = -4*b. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**5\/120 + m**4\/24 - m**3\/12 + m**2\/2 + 12*m - 110. Let f(c) be the second derivative of s(c). Factor f(r).\nAnswer: -(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 36 = -3*y, -5*y - 2*w = 645281 - 645221 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/9, -0.5, 18, 38.2, 2.\nAnswer: -0.5, -1\/9, 0.2, 2, 18, 38.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 5*p - 5. Let f(h) = 2*h**2 - 29*h - 8. Let a be f(15). Let n(m) = -12 + a*m - 13*m + m + 17*m - 2*m**2. Let k be n(4). Determine d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7543*t**2 + 247*t + 494. Let r(s) = 184*s**2 + 6*s + 12. Calculate 247*r(z) - 6*v(z).\nAnswer: 190*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f - 5. Let m be h(-6). Let i = m - -81. Let y(d) = 3*d + 21. Is 10 a factor of y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1093 + -1084. Solve 0 = 3*i + o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**3 + 155*y**2 + 1120*y - 1280 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1170 or -1\/7?\nAnswer: -1170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)\/u*u\/(u*((u\/((u**(-4)*u)\/u))\/u*u)\/u*u))\/(u**(-1\/2)\/u)**(-4\/23) assuming u is positive.\nAnswer: u**(-674\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syso when four letters picked without replacement from {y: 2, g: 2, o: 8, s: 2}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 15*y - 13. Calculate the remainder when b(14) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieiiiigeiiig. What is prob of sequence giii?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*w, 0*w + 12 = 2*p - 2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.47, -4, 2\/13, 2, -0.007?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37841116, 37841117, 37841118, 37841119?\n\"Answer: s + 37841115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 8*o - 2. Suppose -u + 10 = 18. Let s be j(u). Let n be (3 - -1 - 22)*s\/6. Solve -d = -n*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.456, 1, 2, -36, -3\/2 in descending order.\nAnswer: 2, 1, 0.456, -3\/2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 11*i + 12. What is u(9)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + t + 3*t)*(5*t - 3*t - 3*t) - 4 + 4 + t**2 to w*t**2 + q + l*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*16\/(-18))\/((-2)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*-4*(-8)\/32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2829882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 1 + 4*b + b + 34*b**2 - b. Is 17 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110504515 + 1?\nAnswer: -110504514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 2*g**3 + g**2 + 2*g**3 - g**3 - 2*g**3 + (0*g**2 - g**2 - g**2)*(4*g - 2*g - g) - 2200*g + 2189*g + 0*g**3 - g**3.\nAnswer: -2*g**3 - 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41104 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/11193 and 17\/2997.\nAnswer: 11181807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -4\/9, -381, -0.1, 19 in decreasing order.\nAnswer: 19, 0.1, -0.1, -4\/9, -3, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*o**2 + 0*o**3 + 2*o**3 + 0 + 2*o**3 + 17*o**3 - 5*o**3 + (2 + 2*o**3 - 2)*(2 + 3 - 7) + o**3 + o**3 - o**3.\nAnswer: 13*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 19*j - 37. Let w be (-11)\/(33\/(-52))*(-3)\/(-2). Is d(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 - t - 3. Calculate s(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359222 + -51?\nAnswer: 359171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -34*m**5\/11 + 54*m**4 - 272*m**3 + 3456*m**2\/11 - 1024*m\/11 = 0.\nAnswer: 0, 8\/17, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let y(w) be the first derivative of w - 1\/12*w**4 + 0*w**3 - 3 + 0*w**2. Let c(d) be the first derivative of y(d). What is c(f(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-54) - 39\/(-27)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643856\/12*3\/32*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:02 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 2, i: 1, d: 1, r: 1, v: 2}. What is prob of sequence iv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from mxmvvvceqevc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77160632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03464044 or 4?\nAnswer: -0.03464044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1633977 - 3?\nAnswer: -1633980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16104 and 73128.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*c + 1513207 = 406636 - 456324. Does 176 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326.7000204 to two decimal places.\nAnswer: -326.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let s(q) = -1. Suppose -4*b + 3 = -3*t - 8, 0 = -3*t + 9. Suppose 2*i = a + 3, -2*i + 0 = a - b. What is i*s(n) + h(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1 + 3*t + 1284*t**3 - 4*t + 7*t**2 - 1282*t**3. Is 3 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 + 0 = -2*u, -4*n + 16 = 2*u. Let g be n\/4 + 472\/16. Suppose 0 = -2*h - h + g. Solve 3*p + 5*m - 16 = 0, -5*p + m = 6*m - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.870184 grams in kilograms?\nAnswer: 0.006870184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*(-16)\/12. Let v = g - 3. Let n(k) = 0*k**2 - 2*k**2 + 3*k**2 - k. Give n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.335 - -0.135. Let x be (-5)\/12 - (-3)\/6. Which is the third biggest value? (a) x (b) q (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32237 + -101.\nAnswer: -32338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 12192*b**2 - 12387072*b + 4195088384.\nAnswer: -4*(b - 1016)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 1021 + 2965 = 0. Let t = 58 + i. Which is the nearest to 15? (a) -3 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 + 17 = 0. Let o = -8 - -12. Suppose -o = -3*r + 5. What is the remainder when f is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s - s + 0*s**2. Let b = 0 - -9. Let l be 9\/6*6\/b. Determine w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 927.85 + -950. Let i = 0.95 + d. Let p = -21.1901 - i. What is p rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -54201?\nAnswer: -54205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 12. Suppose -4*v + h = -3*c - 2*v, c - 2*v = -8. Put 7, c, 1\/8 in decreasing order.\nAnswer: 7, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0 = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5907552.4 take away 4?\nAnswer: 5907548.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let z(f) = -47*f + 3. Let s(m) = 3*m + 2. Let q(x) = 6*s(x) - z(x). Give q(a(n)).\nAnswer: 65*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2768 - 1802316.18\nAnswer: -1799548.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c + 12. Let l be x(0). Suppose l - 40 = -4*g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l**3 + l**3 + 0*l + (0 + 0 + 2*l)*(-16*l + 16*l - 5*l**2).\nAnswer: -8*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.9 - 32. Put -5, -0.2, z, 2 in decreasing order.\nAnswer: 2, z, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 = 4. Suppose -6*p + 5*p = -3. Let j = p - d. Solve -j = 3*x - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 16998965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -7 + 0 - -9) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuu. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -8, 8\/53, -0.27 in descending order.\nAnswer: 8\/53, -2\/11, -0.27, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -2 + 6 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140207.683 rounded to the nearest ten?\nAnswer: 140210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5694)\/(-6) + 324\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let t be 6\/14 - x\/(-4). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*l**5 + 86*l**2 + 601*l**4 - 3 + 3 - 601*l**4 wrt l?\nAnswer: -2820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4794)\/1836*9*2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34229.38121 rounded to the nearest one hundred?\nAnswer: -34200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88375.\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323642 and 7014?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 32*m + 201.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 7*z**2 + 151*z + 670. Give d(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 2*g**7\/315 + 13*g**6\/30 + 23*g**5\/5 + 33*g**4\/2 + 3*g**2 - 4*g + 2. Solve w(n) = 0.\nAnswer: -33, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 9, 291, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 569126 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 1. Let s(p) = -p. Let a(g) = -3*g + 7. Let t be a(5). Let r = t + 6. Give r*w(n) + 5*s(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 40*k**4 + 105*k**3 + 110*k**2 + 40*k = 0. Calculate k.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 1\/21*w**7 + 0*w**2 + 5\/6*w**3 + 2 + 0*w**5 - 3\/2*w**6 + 8*w + 1\/3*w**4. Find the third derivative of v(x) wrt x.\nAnswer: 120*x**2 - 1080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q = 40 - 280 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(2 + 1 + -1). Let x(o) = 4*o - 2*o - f - o - 4*o. What is x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 5, 25, -1.\nAnswer: -1, 5, 25, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.3 (b) 0.05 (c) -1703\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (255\/10*1)\/((-1)\/(-18)) is divided by (-43)\/602*(-4)\/(-1)*-35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 22 = -27, -3*t = -5*h + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*u - 23 = 0, 3*b + 9 = 3*u + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 169917043 to the power of 1\/2, to the nearest integer?\nAnswer: 13035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215\/126 + -233\/70. Let f be 87\/(-27) - -2*1. Let m = f - r. Is m smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248 - -247.9345. Round v to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*x - 5*x. Suppose -d = z + 4, 3*z + 3*d + 14 = -x*d. Let v = -3 - -1. What is the second biggest value in v, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l - 1428 = 0. Let t = 8489\/6 + l. Let w = -13\/16 + 245\/16. Find the common denominator of t and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) 1\/4 (c) 365 (d) 2\/151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 i when three letters picked without replacement from {i: 2, o: 1, e: 1, z: 1, k: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**5 - 2*n**4. Suppose 0*v = -3*v - 9. Let p(d) = -5*d**5 + 5*d**4. Let o(l) = v*p(l) - 7*q(l). Factor o(m).\nAnswer: m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -0.7. Let w = 1.3 - x. Let u = 0.2 - 0. What is the second biggest value in -5, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 174 = t, -3*n - 60 + 158 = -t. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677578757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**2 + 5*b**4 - 18*b**4 + 267 + 16*b**4 wrt b?\nAnswer: 12*b**3 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.0051 (b) -2\/15 (c) 0.7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -187783?\nAnswer: 187788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i + 205*i - 1908. Solve 431*f = 422*f - i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(17))*-2.\nAnswer: -2*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 + 5. Let j(u) = u**3 - 7*u**2 + u - 3. Let x be j(7). Let s(w) = w**2 - 1. Let z(l) = x*s(l) + g(l). Differentiate z(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -36. Put n, 0.1, 1 in descending order.\nAnswer: n, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (136\/119)\/(-4) - (-20)\/21. Let g be (-20)\/15*9\/(-6). Suppose -g - l*v**2 - 8\/3*v = 0. Calculate v.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165180561?\nAnswer: 3, 7, 13, 151, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)\/n**(-1\/4))**(-4\/17))**(-2\/3) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11.0801 times 542\nAnswer: 6005.4142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 34022614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:46 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -62*o. Let l(h) = -4*h. What is c(l(w))?\nAnswer: 248*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*n**4 + 0*n - 2\/5*n**2 + 2\/5*n**5 + 6\/5*n**3 + 0.\nAnswer: 2*n**2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {r: 3, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3483 - -3483.1. Which is bigger: t or 1132?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11 + 2024*h - 4*h**4 - 2027*h + 637*h**3 - 277 + h**2 wrt h.\nAnswer: -96*h + 3822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 51 - (-24 + 2) - (-4 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 9. What is the least common multiple of 10\/(-1)*(0 + -1) and ((-6)\/(-8))\/(i\/(-16))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 196*y. Let q(j) be the first derivative of j**2\/2 + 5786. What is i(q(z))?\nAnswer: -2*z**2 + 196*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x**2 + 2*x - 2. Let t be v(1). Solve -4*c - 5*w + 28 = -w, -3*c + t = w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5))**33\/(w**4*(w**(-1\/16)*w)\/w) assuming w is positive.\nAnswer: w**(3105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.4 (c) -4 (d) 1\/81 (e) 5 (f) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.138 - 0.138. Let n(c) = 11*c**2 + c. Let d be n(1). Let f be d\/(-32)*(-2)\/(-3). What is the fourth biggest value in m, -0.4, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309540964*s**2 + 134384569*s wrt s.\nAnswer: -619081928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 2 (b) 0.3 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202305*r**5 - 29*r**2 + 538*r - 2 wrt r.\nAnswer: 12138300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Suppose -c = -x*c. Suppose c*n + 20 = n + o, o - 40 = -2*n. Calculate the greatest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.1 + 31.101564. Round m to five decimal places.\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-6) + -1 + (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948306992?\nAnswer: 2, 3, 40589729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 1.68. Let s = j - -1.1. Let u = -0.1 - 0. What is the smallest value in u, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 0 - (-45 + (107 - 49))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f + 3. Let p(c) = 5*c**3 - 2*c**2 + 3*c - 6. Let d(l) = -l**3 + l**2 + l. Let u(t) = -2*d(t) - p(t). Does 17 divide u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 - i**2 - i - 2. Let h(m) = -4*m**2 - m - 2. Let t(v) = -17*v**2 - 3*v - 7. Let a(u) = -4*h(u) + t(u). Calculate -a(z) - w(z).\nAnswer: 5*z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**18)\/r*r)\/(r\/r**(4\/15)))**(-1\/51))**(-2\/65) assuming r is positive.\nAnswer: r**(548\/49725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 + 10*s**2 + 6*s**2.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -414977\/55330 - -1\/27665. What is the common denominator of 33\/14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*c - 1864 - 2150, -5*i + 20175 = -4*c. Suppose -24*l + 4*w = -21*l - 2415, -i = -5*l + 2*w. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -302, -294, -286, -278?\n\"Answer: 8*o - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fky when three letters picked without replacement from {r: 5, y: 3, k: 6, f: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.99 and -0.5?\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5680268?\nAnswer: 2, 11, 129097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 320 + 50?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:43 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(176) + sqrt(176)) - (2*((-4*sqrt(176) - sqrt(176)) + sqrt(176)))**2.\nAnswer: -11249 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78604244?\nAnswer: 2, 103, 190787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmiggm. What is prob of picking 1 i and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -52203564.\nAnswer: -1\/17401188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2 + 2*o + 9. Let f = 141 + -137. Calculate d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 3 = -m, -2*u - m + 7 = 0. Let j = -1 + 1.5. Sort u, j, 0.1 in increasing order.\nAnswer: 0.1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose 9*w = k*w + 25. Suppose w*g + 12 = 72. Calculate the lowest common multiple of g and 26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*-1*(-1)\/(-1)*(-390)\/(-975)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1 + -5 + 4.\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q**2 + 7352\/5*q + 6756488\/5.\nAnswer: 2*(q + 1838)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402422 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(5 + (sqrt(8)*-5)**2)*-2*2.\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2427 or 2428?\nAnswer: 2427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5*i - 11*f**4 + f**3*i**2 + 112*f**2*i**2 + 2*f**2 wrt f?\nAnswer: 60*f**2*i - 264*f + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0.4, -4 in decreasing order.\nAnswer: 2, 0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -29)\/((-6209)\/(-1774)). Suppose 3*r - 16 + 10 = 0. Solve r*y = -16 + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3407 at least -0.0603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t. Let o(g) = 6*g**2 + 12*g + 5. Let p(z) = -4*h(z) + o(z). Let w be 42\/(-8) - (-1)\/4. What is the tens digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 7 = -2*x. Suppose -86 = -4*v + 2*f, x*f = -4*v - 3 + 54. Suppose 3 = -y + v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10416\/420*135\/648.\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11478 + 11479. Let n be 4\/6*75\/2. What is the greatest common factor of n and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.5826l in millilitres?\nAnswer: 798582.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*n + 876 - 1765 - 100*n + 8*n**3 + 889 as m + k*n + s*n**3 + o*n**2 and give k.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7*7667\nAnswer: -53669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 5. Let f(z) = 2*z**2 + 4. Let y(v) = -5*f(v) - 4*l(v). Let o(x) = 2*x**2. Calculate y(o(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 50. Let s(m) = 6*m**2 - 5*m + 3. Suppose 2*r - 4 - 2 = 0. Calculate the remainder when s(r) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719245.\nAnswer: 5, 11, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12149 + -19010. Let k be (-3)\/9*f - -3. What is k rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3772371 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 5*u**2 - 4*u - 4. Let l be g(-3). Let a = 9 - 3. Let r be ((-12)\/8)\/(a\/(-8)). Solve 5*t - l + r = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-28*l**3 + 12*l**3 + 26*l**3 - 26*l).\nAnswer: 10*l**3 - 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x**2 - 3*x + 6. Determine q(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmimminmnmn. Give prob of picking 1 m and 2 n.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -180 times -0.4\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7341254, 14682502, 22023740, 29364968, 36706186?\n\"Answer: -5*d**2 + 7341263*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6342 + 3266129\/515. Let s = c + 3101\/5665. Factor 2\/11 - s*p + 4\/11*p**2.\nAnswer: 2*(p - 1)*(2*p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (116\/14)\/(-1) - 6\/(-21). Is 65 a factor of 450 + l - (1 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33764*d**2 + 33764*d**2 + 5*d**3 - d**2 + 2*d**3 + d**2 + (0*d + 0*d - 2*d**2)*(-2*d + 0*d + 0*d) + 2*d**2 - 2*d**2 + 2*d**3 - 3*d**3 - 3*d**3 + 4*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-884)\/(-6) + (-4)\/12. Suppose -4*k + 3*j + 113 = 0, 5*k + 3*j - j = w. Suppose 10 = z - k. Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, g: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 522.32527 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 1059 = 3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvswvvkkv. What is prob of sequence vkv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 87*i + 490. Let d be l(-81). Solve 0 = -t + d*b + 16, -11 = -2*b - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**7\/1680 - d**5\/60 + 5*d**2. Let x(v) be the third derivative of n(v). Determine x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -40*p - 63. What are the prime factors of u(-17)?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -732, -734, -736, -738, -740, -742?\n\"Answer: -2*b - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h*h**5*h*h)**(-16)\/(((h*h**(1\/10))\/h*h)\/h*h**(-3)*h**3*h**(2\/9)*h) assuming h is positive.\nAnswer: h**(-18839\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 + 265 - (-3 - 69) - -12.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33616020 (base 7) to base 6\nAnswer: 142435403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 3. Let q(a) = -11 + 38*a - 78*a + 59*a. What is -22*k(b) - 6*q(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppeae. Give prob of sequence dp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a factor of 11658135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -24*x - 21. Is 18 a factor of ((-100)\/(-35))\/((-1)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600) + (sqrt(2600) - -6*(sqrt(2600) + (sqrt(2600) - (sqrt(2600) - sqrt(2600)*2)) + sqrt(2600))))\/(sqrt(10)\/(-6*sqrt(125))).\nAnswer: -7800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366847 is divided by 122266.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 17*j**6\/2 + 295*j**3 - 1364. Find the third derivative of i(s) wrt s.\nAnswer: 3060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:41 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/20*-10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329459?\nAnswer: 11, 17, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 40, 19, -20, -83?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-29 - (8 + -31))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + -4cb?\nAnswer: -4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2132.2364 + 0.2364. Which is the smallest value? (a) s (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -584410 (base 14) to base 16.\nAnswer: -2de6de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 2, 0.074, -71, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 3. Let l(u) = -12*u**3 - 5*u**2 - 15*u + 8. What is -5*k(o) + l(o)?\nAnswer: -12*o**3 - 5*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(1\/4). Let s(l) = -l**2 - 1. Let x(r) = r**2 + r + 1. Let i(j) = s(j) + 2*x(j). Let g be i(v). Which is greater: g or 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490.071 rounded to the nearest 10?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046d0 (base 14) in base 4?\nAnswer: 22103202032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28492 + -142448\/5. Factor 3\/5*b**4 - 6\/5*b + 9\/5 - g*b**2 + 6\/5*b**3.\nAnswer: 3*(b - 1)**2*(b + 1)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25251 is divided by 178?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119491 is divided by 17069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9be + 2b4?\nAnswer: -70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**3 + 2*j**2 - 2 + 7*j**3 + 15*j**4 + 0*j**2 - 16*j**4 in the form h*j**3 + l*j + d*j**4 + u*j**2 + p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-154)*8\/16)\/(36\/(-33))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2\/2 + 515*c - 53045\/2 = 0. What is c?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 37859 - 221069 = -5*v, 3*v = -4*h + 109915. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - 2*d)*(-d**2 + 0*d**2 + 7*d**2 + (d - 5*d + 2*d)*(-4*d + 5*d - 7*d)).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + 51?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 19*z + 7*z - 1 as v*z + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**3 + 2*q**2 - 2*q - 2. Let t(f) = f**3 + 8*f**2 - 11*f + 2. Let j be t(-9). Let v = 37 - j. Calculate the remainder when b(2) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t - 13*t - 2 - 3*t. Let o be w(-1). Is (2973\/6)\/((o\/(-2))\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 5*m - 5. Let f(x) = 2*x**2 - 11*x + 11. Let y(i) = -6*f(i) - 11*q(i). Calculate the remainder when 36 is divided by y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i + 4*b - 1972 = 0, 4894 = 5*i - 2*b. Suppose 5*v - i = 5*q, 2*v - 206 = v + 3*q. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1222 (b) 12\/13 (c) -0.13 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 5, w: 7}. What is prob of sequence es?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 7:19 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(((-8)\/(-14))\/(96\/252))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3\/2 + 41925*k**2\/2 + 41919*k = 0. Calculate k.\nAnswer: -13973, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21755, -43546, -65317, -87068, -108799, -130510?\n\"Answer: 10*u**2 - 21821*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/(0\/15 + -3). Solve r = -12*s - 14*s - 104 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882830 bigger than 7945472\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*x + 6*x - 3248, -5*x = q - 4084. Let z be -2 - x\/((-12)\/4). What is the highest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90513, -90511, -90509, -90507, -90505, -90503?\nAnswer: -90501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*u**3 + 2*u**2 + 14*u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w - 9 + 9)*(1083406*w - 1083424*w - 2 - 3) to the form f*w**2 + n*w + j and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21173289 or -21173337?\nAnswer: -21173289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.1 (c) 3 (d) 0.5 (e) 26 (f) 254\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from elllcccclcececce?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 15*q. Let h(g) = 5*g + 48. Let j be h(-9). Let r(u) = -4*u + 31*u + 2*u + 2*u**3 - 15*u - 6*u**2 - u**j. Calculate 7*r(n) + 6*t(n).\nAnswer: n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1310548187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -2, -151, -6, 1.\nAnswer: -151, -6, -4, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14327, -14346, -14393, -14480, -14619?\nAnswer: -14822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/31991289 and 37\/43624485.\nAnswer: 479869335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 405\/63 + (-3)\/7 - -4. Determine j so that 38*j**5 - 3*j**5 - 3*j**4 - 27*j**3 - 5*j**4 - 2*j**4 - 8*j**3 + v*j**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.143 (c) 0.5 (d) 2 (e) 5\/4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29008.78l?\nAnswer: 29008780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 18*j**2 - 21*j - 25. Let c be x(-19). Let o(n) = 4*n - 28. Calculate the remainder when 70 is divided by o(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131220206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000759 is divided by 125094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (3 + -1 - 3). Solve -t*h - 2*h - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 33. Let w = 16 - m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3089449.99999 + -3089465. Let r = 15 + d. Round r to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015779 rounded to 4 decimal places?\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662529 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 45, 90, 163, 270?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:14 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - u**2 - u**2. Let f(q) = -q**2. Let a(m) be the second derivative of m**4\/6 - 4*m. Let b(v) = 6*a(v) + 7*f(v). Determine b(j(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*w = w + 56, -3*w = 4*r - 41. What is the remainder when 41 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.3888 centimeters in kilometers?\nAnswer: 0.006823888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -9*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224714214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-40)\/12)*0. Let s = n - -3. Solve 2*c - j = -2, s*c - 2 = -0*c - j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 18 - 8, -4*w + v + 1430 = 0. What is the lowest common multiple of 24 and w?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (12 + -5)) + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4064, 5934, 7804, 9674, 11544?\nAnswer: 13414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - r**2 - 5*r**2 - 3*r - 3*r - 14 + 10. Let f(z) = z**3 - 5*z**2 - 5*z - 3. Let g = -6 + 8. Let l(c) = g*a(c) - 3*f(c). Factor l(x).\nAnswer: (x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 3*f + 16*f + 9*f to v + h*f and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -787*m + 797*m - 10. Let j(o) = -o**2 + o + 1. Let c(h) = h. Let a be c(-4). Let y(q) = q**3 - 8*q**2 + 3*q + 4. Determine a*j(t) + m*y(t).\nAnswer: t**3 - 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) -4 (c) 0.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = 30. Let k be ((-18)\/(-6) - 3)*2\/p. Sort k, 3, -4\/9, 5.\nAnswer: -4\/9, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 8 + 11. Let c(p) be the third derivative of -p**6\/120 + p**5\/20 + p**4\/6 - p**3 - 4*p**2 - 27. Calculate c(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = -1. Let l be (156\/15)\/4 - v\/5. Which is the closest to l? (a) -1 (b) 1\/4 (c) 3\/4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0 - 14. Let m = 31 + l. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + d**2 + d**2 - 2*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-155)\/(-9) + (-44)\/198. Do u and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 179, 471, 881?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000003 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -254*g**2 - 14*g - 7. Let l(v) = -169*v**2 - 10*v - 5. Let u(j) = 7*l(j) - 5*n(j). Let p(q) = 2*q. Calculate u(p(x)).\nAnswer: 348*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*x - 5*x + 0*x)*(-6 - 1 - 3) to the form i*x + t and give i.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1072 (base 10) to base 8.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Suppose -2*f + 193 = -3*h, -f + v*f - 4*h = -69. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 1820212*j - 9101062\/5.\nAnswer: 2*(j - 1)*(j + 4550531)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + 3. Suppose -5*f = -u + 3*u - 33, -2*f + 2 = -2*u. Put f, q, 0 in increasing order.\nAnswer: 0, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -15336.6?\nAnswer: -2147.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9315 + 0?\nAnswer: -9315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 3*g**5\/10 + 1807*g**2. Let v(w) = w**2 - 9. Determine v(a(n)).\nAnswer: 324*n**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(13\/((-5733)\/(-9))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/12)*p*((p*p**(5\/6))\/p)\/p*p)\/(p**(2\/3))**(-5\/3))**(-2\/53) assuming p is positive.\nAnswer: p**(-109\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11651935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 992249.1 centimeters?\nAnswer: 9922.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 41 - 39 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -11642?\nAnswer: -3\/11642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 14*z**2 - z. Let m be (20*-1)\/(-5) + -3. What is c(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + g + 7, -2*i - 3*g + 8*g + 12 = 0. Let n(b) be the first derivative of -i + b - 3\/2*b**2. What is n(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45976327 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 110 = s - 751, s = -5*x + 1433. Suppose 2*d - 3*q - 286 = q, -2*d + x = 4*q. What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + -11 + (11 - (5 - -14)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/150 - g**4\/15 - 4*g**3\/15 + 11*g**2\/2 - 16*g. Let o(r) be the first derivative of q(r). Solve o(l) = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -28 in increasing order.\nAnswer: -28, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 17*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3282189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -32. What is the third derivative of -l*a**6 + 27*a**2 + 2*a**6 - 35*a**2 wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 544 = -4*s. Let x be 16\/s - (1 - 2). What is the nearest to -2\/3 in x, -5, -3.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 51 = 4*p. Let n = -1 - -1. Suppose 5*t - 316 + p = n. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illclyyycx. Give prob of picking 1 l and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 51*i**2\/2 - 158*i - 81. What is the tens digit of s(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 + 4*d**2 + d + 3. Let c(m) = -9*m**3 + 11*m**2 + 3*m + 8. Calculate 4*c(o) - 11*q(o).\nAnswer: -3*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 2*i. Let c be (40\/50)\/(4\/(-10)). Let p be r(c). Suppose -2*y + 6*y = p. What is the smallest value in y, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/18)\/(-4 - (14\/2667 - 4)). Solve -516 = 8*f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-42)*t**3\/t**(-2\/21))\/((t**(2\/3))**20)**(-2\/9) assuming t is positive.\nAnswer: t**(-6793\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - u = 41, -2*u = -2 + 6. Let v(x) = -x - 4. Let y be v(-9). Suppose -2 = -y*f + m. Solve 0 = f*h - 2 + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2148 - 2148 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2751 and 50\/63?\nAnswer: 8253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 + 49*h - 4. Let s be g(10). Let o = s - 182. What are the prime factors of o?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7338 (base 10) in base 14?\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (70\/3)\/((-1)\/(-18)) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooppoppowpppow. What is prob of sequence ow?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -1.7. What is the closest to -1\/3 in -3, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.33 - -0.53. Let a be ((-3)\/15)\/(9\/(-15)). Put z, -1, a, 0.4 in descending order.\nAnswer: 0.4, a, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(-3 + -3*(-3*sqrt(175) + -4)))**2*-6.\nAnswer: -342144 - 19440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -872*y - 456368. Give a(-523).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -3*m + 9, -4*z - 3*m + 12 = 0. Suppose -4*r + 5*i = 12, 2*i + z*i = -3*r - 32. Let k = r - -13. Solve 12 = x - 4*x - 2*l, 15 = -k*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 10*d**2 + 36*d - 136. What is the smallest common multiple of o(14) and 352?\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9987 + 9987.00020307. Round x to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011 (base 2) to base 4.\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 400806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + (9 + 5 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-1\/2)\/b))\/(b**(-13)*b))\/(b*b*b\/b**(1\/7))**(3\/19) assuming b is positive.\nAnswer: b**(4003\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 118.9018mm?\nAnswer: 118901800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -2\/11 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277872 is divided by 4390?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p - 4*p - 7*p - 14*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let y(w) = 14*w**2 - 1. Calculate y(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - 8\/32. Let f be (-2)\/8 - m\/4. Let a = -5 - f. Let i(n) = n**3 + 5*n**2 - n + 2. What is i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 2*r**2 + r + 2. Let c be b(0). Solve -5*x = -c + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose 8*s = y*s. Suppose 5*u - 209 + 39 = s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sui when three letters picked without replacement from uikiss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 66. Solve z - 2 = s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -0.79, 2\/17, 0.09?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 9*m**2 - 34*m - 228. What is the least common multiple of p(-5) and 207?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 8*f**2 + 3*f - 7. Let i be g(-9). Suppose y - i = -2*s, -5*y = -4*s + 147 - 46. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-214)\/(-88) - (-324)\/(-1782).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/s**(-4\/5)*s)\/s*s*s)**38)**(-40\/7) assuming s is positive.\nAnswer: s**(-8816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 137, 4\/5 in increasing order.\nAnswer: 0.1, 4\/5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 77. Suppose -r*j + 22 = -4*l, 8 = 4*j - 4*l - 16. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 7*c - c + (2 - 1 - 2)*(-1 + 2*c + 1) + 4*c + 2*c - 4*c)*(2 + 0 + 2).\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 765707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*((c\/((c**(2\/57)\/c)\/c*c))\/c)\/c*c*c)\/c)\/(c\/(c\/c**(3\/11))*c))\/((c*c*c\/c**(-3\/17)*c)\/(c\/(c**6*c))) assuming c is positive.\nAnswer: c**(-101093\/10659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-3)*(-45)\/(-25). Sort 3, t, -1160 in decreasing order.\nAnswer: 3, t, -1160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -619*p**2 - 7 - p + 618*p**2 + 6*p - p as k*p**2 + u + s*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**2*z + 6*y**2 - 2*y*z + y - 15143*z - 1663 wrt z.\nAnswer: y**2 - 2*y - 15143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-7) + 12\/42. Suppose -5*k + 6*k - c = 0. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61346 and 0.031.\nAnswer: -1901.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 31*h + 18*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Let v be ((30\/9)\/(-2))\/(-1). Suppose x - d = -3, 3*x = -x + d - 18. What is the closest to y in x, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-272)*(2 + -1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864308461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w + 236*w + 6486 = -134*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9130)\/(-77) - -1*8\/(-14)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 30*z**2 - 37*z - 88. Calculate s(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 1. Let n(g) = 97*g - 49*g - 47*g. Give -2*d(u) - 3*n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4938 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -139180 rounded to the nearest one thousand?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30766016.\nAnswer: 2, 19, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) -3\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*b = -70, -4*z - 2*b + 148 = -4*b. What is the first derivative of 83*x + 7*x**2 - 38*x - 63 - z*x - 37 + 11*x**2 wrt x?\nAnswer: 36*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.696695l?\nAnswer: 696.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 835587 and 7491?\nAnswer: 9191457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 43. Calculate the remainder when 19 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299822?\nAnswer: 2, 3, 23, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2106516 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172332030*d**3*q + 74895*d**3 + 93*d**2 - 4*d wrt q.\nAnswer: 172332030*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209139 by -433.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -5*n**4\/6 + 2*n**3\/3 - n**2\/2 - n - 1247. Let l(r) = 10*r**2 - 3*r. Determine 2*d(a) + 3*l(a).\nAnswer: 10*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*u**4 + 4*i**2*u - 19*i*u**4 + 10*u wrt u.\nAnswer: 12*i**2*u**2 - 228*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*t - 731 = -4214. Solve t = -2*a - 9*y + 10*y, -5*a - y = 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-9))\/(-16)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014989 is divided by 2500?\nAnswer: 2489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((8\/(-12))\/(-2)). Suppose 0 = u + 3*o + 4, -4 - 8 = -3*u + w*o. Suppose u*n = n + 2. Solve -c - n*f + 12 = -2*c, f = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 24*c - 2. Let x be u(-6). Calculate the greatest common factor of 15 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39013124 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 minutes after 8:45 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.5605 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a + 8. Let l(b) be the third derivative of -13*b**4\/12 - 23*b**3\/6 - 14*b**2. Let n(s) = -6*l(s) - 17*u(s). Calculate n(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/566121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 + 14808\/15. Suppose 5*q = -172 + s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -171*i - 32. Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -143, -364, -797, -1514, -2587, -4088?\n\"Answer: -12*j**3 + 2*j**2 - 3*j - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -41.74. Let p = k + 0.03. Let q = p + 0.709938. Round q to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4663 + -2788. Let n = 1021876\/545 - p. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 903041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 11*y + 7. Let q be f(-11). Let n = q + -4. Let t = 5 - n. Solve -p = -t*h + 6*h - 14, -16 = -2*p - 5*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/46, -7, -3, -2\/7, 0.05, 1.\nAnswer: -7, -3, -2\/7, -3\/46, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1087926720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 - t**5\/10 - t**4\/6 - 3*t**3\/2 - 4*t**2. Let h be w(-6). Suppose 6*k - k - h = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -347?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.686815059 to three dps.\nAnswer: 4.687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21\/2 + 45\/4*a - 81\/4*a**2 - 3\/2*a**3 = 0 for a.\nAnswer: -14, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14402 and -0.9?\nAnswer: -12961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - -2*sqrt(34))\/sqrt(2))**2 + (sqrt(68) + (sqrt(68) - (sqrt(68) + (1*sqrt(68) - sqrt(68)))))\/sqrt(4) + (sqrt(68)\/sqrt(4) + 4 + -5)**2.\nAnswer: -sqrt(17) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 98*u - 45*u - 27 = 3*y, -y = 142*u + 851 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + r - 7 + r**3 - 3*r**2 + r. Let z be u(5). Solve -2*f = -5*f - z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + -56. Let n = -109 - k. Put n, 4, -0.2 in increasing order.\nAnswer: n, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 142298574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -v + 4, -3*u + 6*u - 5*v - 4 = 0. What is the units digit of 0 + u + (-2)\/(4\/(-626))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51183 (base 10) to base 2\nAnswer: 1100011111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-2 - -2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdr when three letters picked without replacement from {z: 3, d: 2, j: 2, q: 1, r: 1, c: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -266, -553, -844, -1139?\n\"Answer: -2*o**2 - 281*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 4) to base 15\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-225)\/340 + (-1)\/(-4). Let y = g + -13\/51. Which is the closest to -2\/7? (a) y (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + 118*i - 5. Let a(f) = 10*f**2 + 176*f - 7. Give 5*a(d) - 7*t(d).\nAnswer: 8*d**2 + 54*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*x + 799 - 4539 = -1248*x for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1975 - 379. What are the prime factors of w?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152178797\/802 + 189749. Calculate the common denominator of 12 and t.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 36*h - 66. Let n(i) = 133 + 71*i - i**2 + 24*i**2 - 28*i**2. Let o(y) = 11*b(y) + 6*n(y). Determine k so that o(k) = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {i: 3, e: 1, a: 1, m: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 15 = -2*p, -4*g - 3*p = -65. Suppose 18 = b - g. Suppose -16 = x - b. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from wjvreqv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v - 2. Let x be y(3). Let n = 39.9 - 41.9. Let p = 37 - 37. Put 2, p, n, x in decreasing order.\nAnswer: 2, x, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2\/13, 42\/11, 12, -2.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 1:18 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = -3*k + 22, -2*k + 43 = 5*b. Suppose -210 = -k*c + 4*c. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5100, -10154, -15214, -20280, -25352, -30430?\nAnswer: -35514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1037162 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031095583 rounded to 5 dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 3154*r**3 - 4 + 2*r**2 - 7*r**4 + r + 3146*r**3 - 2*r**2 to the form d + b*r**3 + f*r + n*r**4 + a*r**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198337802 a multiple of 2019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(0*m + 7 + 3*m - 8)*(24 - 7 + 39 + 85).\nAnswer: 423*m - 141","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2916960236\/12 + (8\/8)\/3. Suppose -4*t - 243080010 = 2*x, -41*t - 4*x = -37*t + m. Round t to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 7. Let v be c(-5). Let f = -7 - v. What is the remainder when (1 - f) + 21 + -1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 35 = -5*p, 4*p = p + 9. Let h be (183\/(-48) + 4)\/((-1)\/4). Which is the second smallest value? (a) -4 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l + 25. Let c be q(0). Solve 0*m - 2*m + 2 = 0, -5*x - 5*m = -c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 422*h - 194*h + 309*h - 145 + 144 to the form j + t*h and give t.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + 1. Let r(n) = 5*n**3 - 30*n**2 + 25*n - 6. Let c(k) = 6*j(k) + r(k). Solve c(z) = 0 for z.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2 + 6*z. Let h(p) = 6*p**2 - 7*p. Let c(q) = -6*h(q) - 7*y(q). Let t = 13 - 2. Let f(o) = 12*o - 20*o + t*o. Give c(f(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 3*g + (0 + 0 + g)*(2 - 2 - 6))*(4*g**2 - 1 + 1) to the form n*g**3 + p + a*g**2 + i*g and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*d - 0*a + 19, 0 = d - a - 5. What is the units digit of 2 - (-32 - (5 - d))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:29 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699490 is divided by 44690.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/13 (b) -0.5 (c) -1\/10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821\/45873 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -0.28. Let z = 6 - 10. Let n be 20\/(-15)*2\/z. Which is the nearest to n? (a) r (b) 2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -26*m**2 - 62*m - 2. Let s(i) = -2*i**2 - i. Give b(j) - 12*s(j).\nAnswer: -2*j**2 - 50*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 26 = -3*f + 2*l, -2*l - 8 = 0. Let y be (-3)\/f - 181\/(-3). What is the highest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = -3*n. Calculate the remainder when 25 is divided by n\/(-16) + 110\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 9. Let w = -19 - -12. Let g(f) = -f**2 - 10*f - 13. Let d be g(w). Calculate z(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(392)\/sqrt(8))\/sqrt(7))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -129 + 6 - (713 - 895).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6849 smaller than -6993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:38 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**7\/21 - 5*m**3\/3 + 8*m - 13. Let v(i) be the first derivative of q(i). What is the second derivative of v(k) wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = -2. Let b(d) = 956 + 3*d - 1898 + 958. Let a be b(v). Solve -2*h + a = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*m + 2, m - 4 = -43*j + 42*j. Factor -2\/13*v + 2\/13*v**5 - 4\/13*v**j + 0 + 0*v**3 + 4\/13*v**4.\nAnswer: 2*v*(v - 1)*(v + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28024.2207 minutes in weeks?\nAnswer: 2.780180625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 686 - 2745\/4. Which is the nearest to r? (a) -0.1 (b) -0.3 (c) -7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62.3 + -62. What is the closest to -0.2 in 3.2, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 57063101*z. Let t(q) = -q**2. What is t(a(h))?\nAnswer: -3256197495736201*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 2*s**4 - 7*s + 3*s**4 - 2*s**2 + 0*s**4 to r*s**3 + x + f*s**2 + h*s**4 + c*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23919 rounded to three decimal places?\nAnswer: -0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.08. Let p = d - -1.06. Let g = 1 - p. What is the second smallest value in -2\/7, -2, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34214915 is divided by 9638?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2 + sqrt(136) + sqrt(136))*3 + sqrt(136))\/(sqrt(800)*-3).\nAnswer: -13*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let x(c) = -c - 5*c + 3*c - 2*c. What is x(m(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/140)\/((-6)\/(-40)*(-120)\/(-144)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -9. What is the smallest common multiple of u and (-2 + 8\/(-6) + 2)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1113 + 34341333?\nAnswer: 34340220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 956 - 946. Let z be (6\/(-4))\/(1\/(-2)). Suppose 66*n**4 - 4*n**2 - 6*n**z + 3 - 3*n**5 - 75*n**4 + 9*n + s*n**2 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310465?\nAnswer: 5, 31, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - (3 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 125805, 126018, 126229, 126438, 126645, 126850, 127053?\n\"Answer: -j**2 + 216*j + 125590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1310 - 2*i - 1310.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7*a**2 + a + 10. Let p be c(7). Let t be 20*p\/2 - -3. Suppose -97 = -5*k + t. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 48.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*l + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.490397 * -1.\nAnswer: 2.490397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10273820 smaller than -10273801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjjojojjb. What is prob of sequence jj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 81051578?\nAnswer: 81051583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - l + 1204 = -0*l, 5*m = -5*l + 2010. Which is bigger: 400 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 174. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.716 and 10461.\nAnswer: -7490.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4884 and 2664.\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5146808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-130)*2\/1. Let j = -37.51 + 37. Let s = j - -0.31. Which is the biggest value? (a) 2.4 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = 4. Let t be -2*n\/(-1 + 0). Let z = 15 - t. What is the remainder when 116 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2072, 2070, 2068?\n\"Answer: -2*j + 2074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 11*k**6\/5 + k**5\/20 - 8*k**4\/3 - 52*k. What is the third derivative of z(q) wrt q?\nAnswer: 1584*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -530. Suppose 4*y + g = -5. Let x = 76 + y. Solve 0 = 3*o + x - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-19)\/133)\/((-1)\/(-3)). Let g = -190.8 - -191.1. Let u = -2 - -2.1. Put g, t, u in ascending order.\nAnswer: t, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4323.000003474 - -4323. What is p rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/4 + -3\/4. Let k(m) = 4*m - 33. Let f be k(8). What is the nearest to f in 4, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**2 + l**2 + 6*l**2)*(3*l**2 - l**2 - 3*l**2) - 10*l**4 - 3*l**2 + 3*l**2 as x*l**2 + v*l**4 + g*l**3 + f*l + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Suppose -f*b + 15 = -61. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4229 divided by -5\nAnswer: -4229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 463819*f**2 + 124501*f?\nAnswer: 927638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + j = -3*j - 26, -3*j = f - 13. Determine k, given that 5*k - 2 + k**2 - 15*k - f*k**2 = 0.\nAnswer: -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*a - 327, 4*a = 3*k - 95 - 78. Suppose k = 2*o - 113. Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 0, -4, 0.41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1498 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2829.29122 rounded to 1 decimal place?\nAnswer: -2829.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in -10, -1\/10, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/272127 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:17 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13328 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6688026 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178804300*k**2 - 3658892*k - 2?\nAnswer: 357608600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2))**2*-5 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let g(w) = 25*w + 1. Let o(y) = -g(y) - 6*h(y). List the prime factors of o(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2599 = -p + 9891, 50065 = 4*p - 5*k. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5168020 to the nearest 10000.\nAnswer: 5170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j. Suppose j*y - 3*y = -6. Solve -m - 5 + 2 = 0, 2*s - 6 = y*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 19 + 15. What is the highest common factor of g and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 7. Let a = b + -3. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21824, 21821, 21816, 21809?\n\"Answer: -z**2 + 21825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.5 * -0.04.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 6. Let r(p) be the second derivative of p**2\/2 + 3*p - 20. What is 11*r(m) - 2*x(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**16*(l*l*l\/(l**(1\/2)*l))**(-1\/39) assuming l is positive.\nAnswer: l**(-105\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6579 (base 10) to base 14.\nAnswer: -257d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 = -14. Suppose -2 = -m*g - d, 3*d - 4 = -5*g - 1. Suppose 10 = 5*t, -4*t + 0*t = g*a - 23. Calculate the highest common divisor of 45 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/175 or -0.1?\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210945 not equal to 1210947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -61*v + 58*v. Let p(u) = u**2 - u + 1. Let i(f) = 4*f**2 + 5. Let w(j) = i(j) - 3*p(j). Calculate the remainder when v is divided by w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 76569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170667034 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421 (base 5) in base 12?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1054 divide 270102256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from jkkjkjjjketkjkkkk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668432345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 126 + -103\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + o + 11 = 0, -5*x = 5*o - 37 - 8. Suppose x*r - 180 = 11*r. What is the units digit of r\/195 - 2578\/(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*w + 18, -3*k - 823*w + 819*w = 36 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 - y - 18. Let d be a(5). Find the third derivative of -4 - 70*o**5 + 21 + 2 - d*o**2 + 14*o**5 wrt o.\nAnswer: -3360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2 + (5 + 1 - 5)*(0 + 0 + 2) + 0 - 2 + 1 - 1 + 0 + 0 - 5 + 4 + 5 - 2 + 1 + 0)*(1 - 1 - 5*y).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 3 - 181244*n**2 + n**3 - 3*n + 181242*n**2 in the form k*n**2 + b*n + o + h*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*r**4 - 117810*r - 85*r**3 + 960498 + 9997\/2*r**2 = 0. Calculate r.\nAnswer: 22, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/5, 1\/6, -2079.9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i - 59*i - 40 = 0. Suppose -f - i*g = -14, f - g = -3*g + 8. Solve 0 = -y + 3*t - 5, 2*t - 10 = -f*y - 2*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187669 - -31528499\/168. Calculate the common denominator of g and -103\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 - -232. Suppose 4*l + l - k = 0. Let x(w) = w**2 - 239*w + 722. What is the remainder when l is divided by x(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(60)\/(sqrt(15)\/sqrt(3))) - ((sqrt(11) + sqrt(99)\/sqrt(9))*1 + 0)**2.\nAnswer: -44 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**3 - w**2 + w. Suppose 0 = -0*b + 2*b + 8. Let c be -2 - (0 + b + 1). Calculate a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 17 = p, -28*q = 6*p - 31*q - 8 + 22 - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0546350128 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20853 - 20864.8165. Let v = o - 0.1535. Round v to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/9*((-158)\/(-1185))\/(1\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531813 and 1614?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 498 - 386. What is the greatest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/12 + 9*a**4\/4 + 5*a**3\/3 + 5*a**2 + 1. Is 10 a factor of h(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2713487741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4 + 20*k**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 20*h**2 - 21*h - 30. Let a be r(-19). Suppose -10*w + 12 = -a*w. What is the remainder when ((-42)\/5)\/(-3)*5 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(0 + sqrt(1900)))**2 - (2*sqrt(1900) + sqrt(1900) + sqrt(1900))**2*6) + (-5 + 6*(-2*sqrt(931) - sqrt(931)))**2.\nAnswer: 1260*sqrt(19) + 121169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9925485us to nanoseconds.\nAnswer: 992.5485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -7240, 5, 4 in increasing order.\nAnswer: -7240, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1026498 and 256398.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/21 and 38\/3297.\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 6, 2, -8, -24?\n\"Answer: -3*h**2 + 11*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(192)*-1 + sqrt(192) - (5*(sqrt(192) + sqrt(192)*-1))**2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915745?\nAnswer: 5, 13, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2915638 and 14578190.\nAnswer: 14578190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 4*b - 1. Suppose 146 = 3*z + z + 3*q, 2*q + 171 = 5*z. Let t be (z\/14)\/((-2)\/(-4)). What is h(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 421956?\nAnswer: -421955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3827*c - 26759. Calculate y(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202422847 and 1166.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5 (c) 5 (d) 2\/97321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/13 - 20\/13*r - 2\/13*r**2.\nAnswer: -2*(r + 2)*(r + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 16 = -4*f. Suppose 5*n - w = 7, 2*n = 4*w + 7 + 3. Suppose -u = -f*l + n, l = u + 1 - 0. Solve x - 13 = 2*r, l = 2*r + 4*x - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*k**3 + 61738*k**2 + 10654493 with respect to k.\nAnswer: 102*k**2 + 123476*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, m: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -10) + (2 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -45.1?\nAnswer: 45.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1330*v**2 + 684*v**2 - 2 + 5 - 3. Let y(d) = -d. Determine y(k(h)).\nAnswer: 646*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 54643037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -7*d**4\/30 + 47*d**3\/15 + 14*d**2\/5 + 31*d. What is z in r(z) = 0?\nAnswer: -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -2209.\nAnswer: -2208.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019282418 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-1\/15)\/c*c)*c\/((c\/c**(-2\/7))\/c)*c*(c*(c*c*c**(2\/37)*c)\/c*c)\/(c*c\/(c\/(c*c**(-1\/7)))) assuming c is positive.\nAnswer: c**(19339\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2836*l - 2837*l - 7 = 0, 3*q - 7 = -0*q + l - 0*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:31 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61013 times -0.0224?\nAnswer: -1366.6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**3 + 155*y**2 - 76*y - 2523. Calculate u(-22).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -110. Suppose -h = -1, -4*g - 4*h = -5*g + 41. Calculate the remainder when g is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8401346 days to milliseconds.\nAnswer: 72587629.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-9)\/y*y)\/y)\/y*y**(2\/13)*y)**(-6\/5)\/(y\/(y**0*y)*y*y**(-2\/3)*(y*y**(-5))\/y**(-2)) assuming y is positive.\nAnswer: y**(479\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 310233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1365\/70)\/((3\/(-28))\/(114\/1995))*10?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s. Let x(i) = 2*i**3 + 4*i**2 + 4*i. Let l(p) = -3*d(p) + x(p). Let v be l(4). Let u = -2 + v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t + 3 = 38*t + 9 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1602.4 + 1600.4. Which is greater: 3412 or x?\nAnswer: 3412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -31. Calculate the common denominator of ((-9)\/(-30))\/(x\/130) and 89\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 7. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 18. Suppose 6*p - q*p = -4. Let g(h) = h**2 - 2. Let i(x) be the second derivative of -x**2\/2 - x. Determine p*g(r) + 2*i(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2499*v**2 + 2455 + 2501*v**2 - 7366 + 2419 + 2366.\nAnswer: 2*v**2 - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, 120, 331?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(5\/8))*x)\/((x**(-15)\/x*x)\/x))\/((x\/x**19*x)\/(x**(-3\/2)*x*x)) assuming x is positive.\nAnswer: x**(263\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -42 (c) 0.8 (d) -11 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13432002 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -582 + 99 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1101 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 1\/2*-2 - (-2 + -58658)\/5.\nAnswer: 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60b4 (base 13) in base 14?\nAnswer: 4c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/120 + 17*c**5\/60 + 5*c**4\/4 - 2*c**3\/3 + 2*c**2 - 1. List the prime factors of j(-10).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 6503643.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, 0.275, 2\/5, -4\/21, -1\/2, 0.5, 4?\nAnswer: 0.275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (156 - 49 - (0 - 0)) + -35?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232332 (base 5) in base 7?\nAnswer: 413621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let l(t) = 2*t**2 + 4*t + 5. Let m = -81 + 79. Let k be l(m). Solve 4*n = -4*y, g*y - 3*n - k = -6*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, u: 2, e: 1, a: 1, i: 2}. What is prob of sequence eiu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -114*o + 116. Solve -h - 4*w + 14 = o, 4*h - w + 5 = -7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.32 + 142.32. Let z = -153655.400071 + 153794.4. Let f = k - z. Round f to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20)\/(-35)*-1 - 5562\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = 3*f - 4, -4*f = m - 36. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 278, 347, 448, 581, 746, 943?\n\"Answer: 16*s**2 + 21*s + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -25381228.\nAnswer: -3\/25381228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3830*a**3*i**3 - 2*a**3*i + 217*a*i**2 - 10*i**3 - 2*i**2 wrt a.\nAnswer: -22980*a*i**3 - 12*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 1 + 0*x + x**2 + 11*x**4 + 3*x**6 - 16\/3*x**3 - 48\/5*x**5. Find j such that a(j) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, k: 10}. Give prob of picking 3 k.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7346*w**4 - w - 2120?\nAnswer: 88152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, g: 1, j: 6}. What is prob of sequence jf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 919, 921, 923?\n\"Answer: 2*u + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 132 + 18 - 42.\nAnswer: -y**2 - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 + 9. Give b(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.19565063 rounded to one dp?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:39 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + o + 14588 = i, -2*i - 3*o + 9707 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 1)*(-27*p + 10*p - p).\nAnswer: -162*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let a(q) = -9037156*q. Give a(x(l)).\nAnswer: 9037156*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 3*h**2)*(1248*h + 8*h - 351*h).\nAnswer: -2715*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + 727*a**2 - 3459*a - 237. Give k(-247).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f. Suppose s = -w, f*s = -2*s - 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/9*135\/(-162).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plpllp. Give prob of sequence pplp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, -191 in increasing order.\nAnswer: -191, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064 (base 9) in base 16?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4))**(-7\/4) assuming g is positive.\nAnswer: g**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7094.6 to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*g + 8480, 0 = -501*q + 496*q - 20. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10761624.49 to the nearest one hundred thousand.\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 69 = 36 - 143 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/6 (b) 0.4 (c) 0.049 (d) 14 (e) -4\/17 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1314 divided by -1314.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-5) + (-4)\/(-10). Let j = z + -2. Suppose 5*q - 47 = j. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 4749856*g + 1410070751296.\nAnswer: 4*(g - 593732)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c = -9*c + 1710 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-40))\/((6201\/260)\/53).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -771 (base 8) to base 16.\nAnswer: -1f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9 - 5 - 3. Let j(n) = -1 + 3*n + 2 - 4*n. Let r(k) = -f(k) + j(k). Let y(t) = -2*t**2. Determine r(y(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - o**2 + 3. Let b be u(0). Suppose -12 = -b*d - 0*d. Suppose -h + 36 = d*v - 16, -4*h = 0. Solve -2*j = 3*j - 2*k + v, -5 = 5*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/120 - 13*i**5\/60 - 7*i**4\/12 - 8*i**3\/3 + 5*i**2 + 133. Determine n(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 + 0)*(82*f - 8 - 84*f + 1) as w + u*f and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 66\/295?\nAnswer: 66\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1044\/5 - -7118\/35. Calculate the common denominator of -40\/11 and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20806504751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 + -1 + (29 - 48) is divided by -2 + 39 + (-1 - -1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945*w + 942*w + 18 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 12*c**2 + 14*c + 18. Let j be y(-13). Solve -4*i + 2*b + 3 = i, 0 = 2*i + j*b - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 1. Let d(g) = 2*g**3 - 3. Let l be 2 + (-3 + 2 - 0). Let o(w) = l*d(w) - k(w). What is the units digit of o(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*n + 3. Let u(z) = 2*z**2 - 3*z - 5. Let v be u(7). Calculate the highest common divisor of n and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-42))\/(148\/(-59052))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -402233?\nAnswer: 402231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:44 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18*s = 22*s - 21, -2*s = -2*x. Calculate the greatest common divisor of 1587 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2904 and 150330.\nAnswer: 72759720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3 - 3)*(-2 + 2 + 8*y) + (9 + 2 + 13)*(-3*y - y**2 - 4 + 4)*(-y - y + 0*y).\nAnswer: 32*y**3 + 144*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4408*y**6 + 27640*y**4 - 2*y**2 + 4408*y - 138 wrt y.\nAnswer: 528960*y**3 + 663360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/281890 and -32\/4027.\nAnswer: 281890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 + 2*s - 3. Suppose -2*i + 5 = -i. Let l be c(i). What is the common denominator of -151\/6 and l\/(-80) - (-4)\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from bejebkbkbkkjkkjbkkbb?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -671.8 + 618. Let i = v - -52. Let y = i - 4.2. What is the second smallest value in 0.4, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**3 - 667520*n**2 - 2892305*n.\nAnswer: -5*n*(n + 44497)*(3*n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 17*f**2 - 23*f + 16. Determine s(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 21*l + 29*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787635809?\nAnswer: 53, 14861053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + x + 30. Let d be (-2)\/(-7) - ((-36)\/63)\/(-2). Sort -1\/2, d, x.\nAnswer: -1\/2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a = 340 + 124 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2015aa1 + 3?\nAnswer: -2015a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11\/f*f*f\/(f\/f**(-8)))\/(f**17\/f*(f\/(f**4*f))\/f) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, k: 8, c: 2}. Give prob of sequence nkkk.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:26 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40771 + -40762. Let h = -8 - -14. Calculate the least common multiple of j and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 83. What is the greatest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) + (2 - -5). What is the least common multiple of (-168)\/18*(-6)\/z and (-1)\/(-2)*2 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.8 - 8. Let i = 0.05 - x. Let s = i + 0.05. Which is the smallest value? (a) s (b) -4\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 120*t**2 - 1025*t + 1860.\nAnswer: 5*(t - 4)*(t - 3)*(t + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36495, -36498, -36501?\nAnswer: -36504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 16. Let c = -7 - h. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (-175)\/(-63)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -269 + 2*v + v + 247 + (3*v + v - 3*v)*(3 - 3 + 2).\nAnswer: 5*v - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4377 - -4749. Calculate the remainder when v is divided by 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = -0. Suppose 17 = 4*u + 1, 3*d - 134 = -j*u. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 129 = 57. What is the smallest common multiple of 54 and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 173*p**3 - 10*p + 34. What is the units digit of n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10*f. Suppose -3*a + 168 + 72 = f. What are the prime factors of -4*(-3)\/24*a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4166 + -4165.997863. What is s rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -12 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 72. Let l be (-12)\/d - 200\/(-6). Find the third derivative of 6*n**2 - l*n**4 + 33*n**4 - 6*n**5 wrt n.\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 3. Suppose 0 = -3*y - 1616 - 931. Let c = y - -842. Give j(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1 + 3*p**3 + 687*p + 4 - 692*p. Let r(z) = -z**3 + z - 1. Calculate l(t) + 5*r(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.1609.\nAnswer: -0.04827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5611623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1561064900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/21, -21\/4, -1\/960, 5 in increasing order.\nAnswer: -21\/4, -0.4, -2\/21, -1\/960, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o*o)**38*(o\/o**(3\/5)*o)\/o**(-2\/5)*o**(-1\/2)\/o**1*o**6\/(o*o*o**0) assuming o is positive.\nAnswer: o**(423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7372 + 7379. Solve -54 = -16*d + t*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1272 - 3807 + 1286 + 1298 - 6*i - 4*i. Give k(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let u = 2 + -1. Suppose -4*h + 2*h = 4*p + 16, 4*p + 4 = 4*h. What is the nearest to v in u, -2\/5, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*v + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(550\/25) + 96\/(-6)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043603 is divided by 2120?\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Determine a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 75. Let p be l(-23). Let m = -73 + 103. Calculate the common denominator of -127\/12 and -1*m\/p*-39.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/4 - 21403*o**2\/4 + 21407*o = 0. Calculate o.\nAnswer: -21407, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f + 55. What is w(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 1, d: 1, f: 1, p: 1}. What is prob of sequence cfwd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4101 divided by -12\nAnswer: 1367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547655427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 768*z**3 - 382*z**3 - z + 35*z**2 - 384*z**3 in the form l*z + h*z**3 + j + w*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/385 and -53\/69496.\nAnswer: 3822280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 21. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10082 is divided by 741.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31406216 and 68944?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8097994*z - 5051501 wrt z?\nAnswer: 8097994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in 4, -3\/2, 1.112?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/(-8) - 1\/4. Suppose 2*a = 0, 0 = 4*s + q*a - 1460 - 1552. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -291.7 + 292. Let v = 150 - 137. Put i, -0.2, v in increasing order.\nAnswer: -0.2, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 + 12 = -4*d, 0 = -3*u + 9. Solve -3*q + 14 - 43 = 4*r, -d*q + 4*r + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -121.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112230331 + 10?\nAnswer: -112230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 669, 50, 49, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 12*z - 14. Let m be l(-4). Suppose -m*g - 2*t = -40, -23 = -2*g + t + 20. Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40976 minus 1?\nAnswer: 40975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, -4, -2\/5 in decreasing order.\nAnswer: 5, 3, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 9271.50327 and 2456.\nAnswer: 11727.50327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225959*h**5 + 638532*h**2 wrt h?\nAnswer: -13557540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(98) + -1 + sqrt(98) - (sqrt(8) + sqrt(8)*3)\/sqrt(4)).\nAnswer: 2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, j: 2, y: 2, t: 9}. What is prob of sequence wwj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182768989290*a - 182768989290*a + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-21)\/(-18) - 1). Let l = 8 - m. Let s(h) = -h**3 - l*h - 2*h**2 - 2 + 1 + 0. What is s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 8. Let z(b) = 5*b - 33. Let x(t) = 9*d(t) + 2*z(t). Let a be x(-1). Solve -13 = 3*r + r - 3*l, -3*r = -a*l + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 5 + 31. Solve q*a - 3 = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87998390*z**4 + 107233486*z**2 wrt z?\nAnswer: -2111961360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 530*r - 55. Let b(c) = 59*c - 6. Let g(z) = -2*z**3 - 169*z**2 - 720*z + 6. Let t be g(-80). What is t*w(u) - 55*b(u)?\nAnswer: -65*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 3. Let g(c) = 2*c + 2. Let i(o) = o**2 + 7*o + 5. Let m be i(-9). Suppose -5*f + m = 43. Give f*x(b) + 7*g(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72310*j**3 + 72281*j**3 + 72287*j**3 - 216875*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -242, -365, -490, -617?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2*h + 4*f**2*z - 3*f*h**2*o**3 + h**2*o**3 + 2*h**2*z - 26*h*o**3*z with respect to z.\nAnswer: 4*f**2 + 2*h**2 - 26*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u**4 + 4*u - 52 with respect to u.\nAnswer: 16*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1241 - -5053041?\nAnswer: 5051400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 338809 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: Rearrange (0 - 1 + 3)*((-3 + 1 + 1)*(-l + 0*l - l) + 4 - l - 4 - 3*l - 13*l + 4*l) to the form u*l + r and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.3 (c) 32324 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13376758301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1952 - -158.6048. Let s = 159 - f. Which is the second smallest value? (a) 3\/4 (b) -4\/21 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k - 4. Let i(m) = -m**2 + 5*m + 2. List the prime factors of i(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/77582 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 33) + (-18 - 1) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119663 by 17.\nAnswer: -7039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u**2 - 5*u + 3. Suppose 48 = 5*z + 13. Suppose 5 = -w + z. What is the remainder when 182 is divided by p(w)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, z: 1, e: 1}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 29 + 32 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -4.232.\nAnswer: -0.25392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n = 15. Suppose 0 = -l + n. Suppose 0 - l = -d. Solve -4*b - 2*v + 8 = 0, -2*b - d*v + 0*v = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/(-21))\/(753\/(-7028)))\/(-1*1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 0, 2, -159 in descending order.\nAnswer: 2, 0, -3, -4, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r - 6. Suppose -2*u - b + 7 = 0, 5*u - 23 = 2*b + b. Let z(d) be the second derivative of d**3\/3 + d**2 + 303*d. Give u*j(f) + 11*z(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(42) + (sqrt(42) - sqrt(420)\/sqrt(10))*-3))\/(sqrt(216)\/sqrt(9))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2 + 2)*(4*h**2 + 2*h**2 - 4*h**2) + h**4 + h**4 - 4*h**4 + (2*h**3 - 3*h**3 + 3*h**3)*(5*h + 3*h - 5*h) + 3*h**4 - h**2 + h**2.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - -4.3. Let d be (-9)\/180*-8*(-5)\/6. Let m = -16 - -11. Which is the closest to d? (a) i (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172931 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: What is the millions digit of 2432560614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k**3 + 2*k. Let u(p) = p**3. Calculate b(v) - 5*u(v).\nAnswer: -19*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l + 2. Let f = 11 - 10. Calculate the lowest common multiple of 8 and c(f).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 - 7*u**3 - u**3 + 8*u**2 - 8 + 3*u**3 + 6*u**3 in the form i*u + k + a*u**2 + z*u**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6 + 1785*b - 93*b + 7. Is o(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 + -0.44. Let q = u - 2.67. Let j = q - -2.4. Which is the third smallest value? (a) j (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -r + 3, 2*b - 4*r + 6 + 6 = 0. Let x be (3 - -16)\/(b + 1). Suppose 2*u + 3*s - 76 = -2*u, u + 5*s = x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (354\/(-14) - -9)\/(17 + (-1880)\/112)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 204*q**2 + 419*q - 789. What is x(-202)?\nAnswer: -3819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -802, -1945, -3568, -5683, -8302, -11437, -15100?\nAnswer: -19303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*u - 22*u - 13*u)*(43 + 255 + 149).\nAnswer: 4023*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - -1001101110111100?\nAnswer: 1001101110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - r + 2 = 0, 107*r - 16 = -4*k + 103*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*o**2 + 0*o**2 - 11*o**2)*(4*o**2 - o**2 - 2*o**2) + (-5 + 4*o**2 + 5)*(-5 - o**2 + 5).\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((9\/(-4))\/(-9))\/(10\/16). Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18159, 18186, 18213, 18240, 18267?\n\"Answer: 27*s + 18132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466060.3 millilitres in litres?\nAnswer: 466.0603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -h + 14*h. Let v be 731\/h - (-22)\/88. What is the highest common factor of v and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, -58, 56073 in descending order.\nAnswer: 56073, 1, -1, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15280 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 7. Let t(f) = 2*f + 8. Suppose -2*h - 2*s = 4, 4*h - 2 = 5*s - 28. Let r(w) = h*t(w) - 5*q(w). What is the derivative of r(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.1. Let y = 563\/5 + -112. Let s be 39\/13*4 + -7. What is the third biggest value in s, k, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f + 32. What is the least common multiple of 28 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000350673729 to six decimal places.\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**2. Let t(p) = -3*p**2 + 20*p + 9. Let z be t(6). Let l(j) = 13 - 4*j**2 + 8 - z. Calculate l(q(g)).\nAnswer: -324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2132 and 432304?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = -12. Let v be 0\/3*(-6)\/6. Which is the third biggest value? (a) v (b) n (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040 and 260.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/27)*c)\/(c\/c**(1\/2)) assuming c is positive.\nAnswer: c**(139\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107.6 - 108. Let v = 7.5 + -46.5. Let j = -39.3 - v. Sort -0.5, j, -1\/3, k.\nAnswer: -0.5, k, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/10 + f**2. Let t(i) be the first derivative of 3*i**2\/2 + 3894. Give t(v(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*((3*f + 6 - 6)*(2 - 2 - 1) + 7 - f - 7) to the form s + h*f and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873963288?\nAnswer: 2, 197, 1189063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 9 - 2 + 3*x + 2 as r*x + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - 0.6. Let g = h + 0. Which is smaller: g or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)\/2 + (-24966)\/(-76). Suppose -1190 = q*t - 324*t. Round t to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -5810600113.6714.\nAnswer: 5810600112.6714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7923689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5544 and 8064.\nAnswer: 88704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let x = -149 + 155. Suppose 4*t = -s + x*s + 8, -2 = 4*s - t. Solve s*z + w = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 301616.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4226 and 89\/10?\nAnswer: 21130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)\/s**(-2\/7)*s**(-2\/3)\/((s*s**(-1\/8))\/s) assuming s is positive.\nAnswer: s**(-47\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 13*c = 2*n - 35 + 19, 0*c = 13*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865819.6 litres to millilitres.\nAnswer: 865819600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 37*f - 41*f - f**2 - 2 - f**2 to the form y*f + t*f**2 + d + m*f**3 + v*f**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2 - 71966*r - 1369882.\nAnswer: 6*r - 71966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3074 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2 - 75*n - 48. Let l be p(-10). Solve -4 = -3*z + c + c, 3*z + c = -l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -1 - (-22 + 29) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1876 and 3346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/24541 and 155\/6402?\nAnswer: 147246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - o**4\/3 - 5*o**3\/3 + 4*o**2 + o. Is 10 a factor of a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 30*s**2 + 23*s + 47. Let v be m(-29). Suppose -4*w + 0*w - a = -160, -5*w = -4*a - v. What is the remainder when w is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -46022 and -46022 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -115*n**3 + 90 - 340*n**2 - 5*n**4 - 605*n - 375*n**2 - 90 = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -52?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.613826 and 56681.4341.\nAnswer: 56682.047926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 644650924 bigger than 644650923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3)*414\/(-115)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 42, 71, 104?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:19 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(-2 + 2 + 2)*(-77 - 65 + 31)*(15*u + 225 - 225) + (u - 3 + 3)*(-1 + 1 - 2) in the form i + b*u and give b.\nAnswer: 6658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from caaaaaacca?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-490)*1*-6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222.871ml in litres?\nAnswer: 2.222871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14553977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 4*u)*(6 - 2 - 1) + (-2 + 2 - 3)*(u + 0*u + 0*u) - u - 3 + 3 + 1 - 1 + 2*u + (6 - 3 - 1)*(-2*u - 2*u + 6*u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*x**2 + 15*x**2 - 50*x**2 - 205*x**3 - 84*x**3.\nAnswer: -289*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-8 - ((15 - 7) + -13))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0.7. Let x = 0.7 - d. Let l = -13 + 16. Which is the closest to -2.2? (a) 2 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-102)\/4*2\/(-3). Suppose m = 2, -2*m = -5*s + b + 4. Suppose -24 = -s*w + 2*w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-75)*4\/(-6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 0 + 1 + -2. What is the tens digit of (-84)\/n*(-27)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 33 = -14. Let a = -19 - u. Let q be 5\/(-9 + 4)*a. Solve q*y + y - s - 6 = 0, -2*s = -y + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99166 or -99165?\nAnswer: -99166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1192 - -2.8808. Which is the nearest to 1? (a) -4 (b) 0.77 (c) 2\/15 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 37*w**2 - 71*w + 34. Give q(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880969 is divided by 109994.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954437?\nAnswer: 11, 86767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-303*j**4 - 157*j**4 - 170*j**4) as h + v*j**2 + o*j**3 + x*j**4 + t*j and give x.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 2*k. Suppose u + u - k = 0. Is 2 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7953.4 times -2?\nAnswer: -15906.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17331.47329 - 229.00771. Let m = 17501.480935 + g. Let v = 59 + m. Round v to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 683 and 219.\nAnswer: 149577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -236, 1, -3, 3, -40, 23 in increasing order.\nAnswer: -236, -40, -3, 1, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 6*c**2 + 8*c + 2. Let k be q(-2). Suppose 22 = 5*y + k*t, 9 = 7*y - 4*y - 3*t. Solve 12 = -y*x - 3*n, -12 = -0*x + 4*x + 2*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.644 times 0.5\nAnswer: 0.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -11, -3*j + 9*t = 5*t + 59 - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -9*x + 4*x + k, -4*k - 25 = -x. Suppose 12 = u + t, -x*u + 8*t - 3*t + 10 = 0. Solve 0*w - u*w - 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232 < 305835\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 4*o**3 + 6*o**3)*(-46*o - 38*o + 83*o).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c - 8. Suppose -49*z + 272 = 909. Let q(d) = 6*d + 17. What is z*h(i) - 6*q(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.931179 centuries in months?\nAnswer: 8317.4148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.85807g to nanograms.\nAnswer: 74858070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2410095 and 365.\nAnswer: 2410095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o)\/o)**(-1\/47)\/(o**(-5\/2)\/(o\/(o*o**(2\/15)*o))))\/(o**(2\/3)*o*o**(-2)\/o*(o\/o**7)\/o**3) assuming o is positive.\nAnswer: o**(5519\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*578.\nAnswer: 22542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*j + 2896, 5*q = -20*j + 22*j + 4808. What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - 3) + 7 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/4005230 and -89\/17623012.\nAnswer: 88115060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10167687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 22 = 2*y + 2*y, 0 = -2*y + 6. Suppose 0 = -5*m + 50. Calculate the least common multiple of g and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:17 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:14 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 15*s**2 + 45*s - 3. Let q(m) = 3*m**2 + m - 685*m**3 + 5*m - 7 + 684*m**3. Let g be q(3). Calculate the remainder when 30 is divided by t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*j**3 - 5*j**3 - 4*j**2 + 111 - 111 wrt j.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-1))\/(-12 + 40\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + sqrt(22)*2)*6 + -4*sqrt(22)*1)\/(2*sqrt(88)\/sqrt(8)*4).\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-6))\/10*12\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10\/11))**(-19)*(w**(-3\/8))**(-3\/7) assuming w is positive.\nAnswer: w**(10739\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2690, 3, -1, -2, -221, 6 in ascending order.\nAnswer: -221, -2, -1, 3, 6, 2690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 210633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2925 and 1061902\/215800 - (-5)\/(-1).\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 5 + 11*d - 27*d - d**2 + 10*d to h + l*d**2 + m*d and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 56*v - 165. Sort 2, -36, v in ascending order.\nAnswer: -36, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-2)\/2*-2. Suppose 4*s = -2*x + 30, 5 + 25 = s + 5*x. Solve -5*r - y*i - 10 = -0*r, s*i + 10 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 511 = -21*l + 353, 7*d - 2*d - l - l + 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73 and -2922.544?\nAnswer: 2995.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2339 - -2343. Solve 0 = -c*u - 3 + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -156, -6 in decreasing order.\nAnswer: 1, 0, -6, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442667.3 rounded to the nearest 10000?\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1941*o + 1755*o + 2867*o.\nAnswer: 2681*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, d: 4, c: 4}. What is prob of picking 3 c and 1 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 3. Let t be d(2). Let g = 179\/714 + -13\/42. Is t >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(7\/6 + 130\/(-13) + 10).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 163*m - 954, 5*c - 28 = 2323*m - 2321*m for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*g + 43, -g + 5*r + 10 = -7. Let i(k) = 379 + g*k**2 - 379. Let b(t) = 15*t**2 - 28*t**2 + 17*t**2. Determine b(i(u)).\nAnswer: 196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 21908 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.807297 + 2\nAnswer: 2.807297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose -4*p + 21 = -h, -4*h - 42 = -4*p - 6. Solve i = -4*t, 3*m + p*t - 5 = 3*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*h**3 + 16*h**3 - 29*h**3)*(5 - 2 - 2).\nAnswer: -66*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 10) in base 3?\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*r**3*y*z**2 + 15*d*r**3 - 2*d*r**2*z**2 + 5*r**3*y*z**2 + 2*r**2*y + 4*r**2*z**2 + 20*r*z - 2*y wrt r.\nAnswer: 12*d*y*z**2 + 90*d + 30*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35230305*f*t**2 - 4185*f*t + 3*f + 2*t**2 - 30*t + 2 wrt t?\nAnswer: 70460610*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = 4*c + 261 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 52983000 to the nearest one million.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 9*n**2 - 26*n + 154. Calculate b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 594227.17 to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -49, -91, -139, -187?\n\"Answer: h**3 - 12*h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(13))**2 + sqrt(936)\/sqrt(2) + 4.\nAnswer: 26 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-2)\/2))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 3*x**2 + 11*x + 6. Let j(o) = -o**3 + o**2 + 4*o + 2. Give 11*j(v) - 4*u(v).\nAnswer: v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:15 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 2*k**5\/35 + k**4\/7 - 8*k**3\/21 - 8*k**2\/7 - 52. Let u(i) = 0. What is i?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5815*i + 17412*i + 15*i**3 - 5801*i - 5796*i.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5783655 and 999.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 58*v**2 - 1562*v - 27. Let z be d(27). Let n be ((-32)\/20)\/(2\/(-5)). Suppose -r = -n - 5. What is the highest common divisor of r and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*l + 40, -3*o + 2*l + 15 + 23 = 0. Suppose -4*p = q - o + 30, -4*q = -4*p - 20. Let d be 8\/(-13)*10\/(-40). Put d, 2\/11, q in decreasing order.\nAnswer: 2\/11, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.982 - -4.018. What is the closest to 2 in l, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 39*v + 30. Calculate k(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 477 - 427. Let u be -14 + 20 + (1 - 6). What is the nearest to 0.1 in 0.4, u, 3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2421431 (base 6) to base 2.\nAnswer: -11111000110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 5*i**2 + 10 - 10 + (i**2 + 3*i - 3*i)*(-2 + 3 + 0) as a*i + k*i**2 + q and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2772 = 3*a - 4*f, -4*a - 5*f + 703 + 2962 = 0. Suppose a + 776 = 4*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 95? (a) 14 (b) 3 (c) -0.1 (d) -2 (e) -1.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/(-11)*4\/42*(-44)\/(-48)*3.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 185728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.240839 seconds?\nAnswer: 1240839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 + 1519\/11. Find the common denominator of m and 52\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-37)\/5*(-62)\/62 and -28\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860.351 rounded to 0 dps?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 7. Suppose -62*g - 45 = -67*g. Suppose 0 = g*v - 51 - 12. Calculate b(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (14 - 22) + 34 + -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5664590272528460.70000113 + 5664590408755429. Let c = g + -136226965. Let j = c + -3.3. Round j to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101 - -2000200?\nAnswer: 1220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11.1. Let j = 9\/217 - 102\/217. Which is the closest to 0? (a) t (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -739, 6, -1\/4, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 - 116. What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 2\/361751 (c) 5 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 3.8. Let q = 0 + f. Let h = -13 - -17. What is the third biggest value in 1\/2, h, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23274, 23303, 23312, 23295, 23246, 23159, 23028?\n\"Answer: -a**3 - 4*a**2 + 48*a + 23231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/5 - 4*q**3\/5 + 2*q**2\/5 + 4*q\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19957, 39982, 59997, 80002?\n\"Answer: -5*i**2 + 20040*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h - 72*h - 739 - 318 = -157 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(19) + sqrt(304) + sqrt(19))**2 + 5) - -5*(sqrt(304) + -2 + sqrt(304) + sqrt(304))**2.\nAnswer: -240*sqrt(19) + 13011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -51.9 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*h = 2*p, 5*p - 8 = -3*h. What is the third derivative of s**4 + 17*s**p - 29*s**2 - 9*s**4 + 2*s**4 wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -933.03 + 923. Let h = x + 10. Let b = h - -0.0304. What is b rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:20 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*g = -73*g - 784. Suppose 91*t - 57*t = g*t. Solve a**3 + t*a + 1\/3*a**4 + 2\/3*a**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581145168 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044*c + 1737*c + 5709*c + 442964 = 0 for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7494 is divided by 3629?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 + 3*a. Let u be w(-3). Let l be (-12)\/(-9)*u\/6. Calculate the remainder when 21 is divided by l + (-3)\/(-3) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 30. Let q(t) = -t**2 + 12*t + 11. Let p be q(10). Suppose p = 3*r + j. Does r = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = 4*s. Let q(t) = 40*t + 7. Let i(c) = -40*c - 9. Let k(n) = s*q(n) - 6*i(n). Differentiate k(j) with respect to j.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67551, 128000, 188449, 248898, 309347?\n\"Answer: 60449*x + 7102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - u + 87)*(-676 + 676 + 4*u**3 - u**2).\nAnswer: -4*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 452?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4057200028)\/(-294) + 8\/(-84). Round l to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*y. Let t be 4 - y\/((-20)\/(-4)). Suppose -n = t*n. Solve -m - 12 = 5*k, -3*k - 4 = -m - n*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*r**5 - 67*r**4 + r**2 - 5*r - 1.\nAnswer: -1380*r**2 - 1608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36368799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -298.692 - -300. Let t = -0.308 + d. What is the closest to -2 in -0.2, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (3 + -20) - -2) + -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*o - 1 + 2, 4*d + 3*o = 26. Solve 0 - 10\/3*y**4 - 2\/3*y**d - 6*y**3 - 14\/3*y**2 - 4\/3*y = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(104)*-1 + sqrt(104) - sqrt(104))*6)\/(sqrt(40)\/(-2*sqrt(720))) + -5.\nAnswer: -432*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135821159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -84, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 2\/9, 2.2, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7532023623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 152467 * -2.5\nAnswer: -381167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 216?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 = 3*a - 380, -3*a = -4*l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -20313330?\nAnswer: -20313323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 187191 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 57.5. Let h = -8 + u. Let i = h - 1.500064. Round i to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 24. Let t(u) = 1. Let m(j) = t(j) - w(j). Let q be m(8). Find the third derivative of q*a**2 + 680 + 10*a**4 - 680 wrt a.\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 5 + 34\/(-17). Solve -t + 3 = s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1739326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose b*p + 2 = 102. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -629\/5?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970744134.\nAnswer: 2, 3, 161790689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*r + 54, 4*r - 2*f = -160 + 202. Solve n + r = 4*w, -2*n - 4*w - 5 = 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 11. Let i = 72 + h. Suppose 0 = 5*l - 46 - i. Solve l = -5*o - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0 - 1\/5*a**5 - 1\/12*a**4 + 0*a**3 - 29*a**2 - 1\/60*a**6 + 0*a + 8\/35*a**7 - 2\/21*a**8. Let s(b) = 0. Calculate b.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 1402940.\nAnswer: 12626460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/4837 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1168.69*-0.5.\nAnswer: 584.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 16) to base 6.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)\/y**(2\/11))**(-33)\/((y**(1\/8)\/y)\/y*y**(-6)\/y)**43 assuming y is positive.\nAnswer: y**(2705\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (3 + -5))\/((-1)\/53399) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 6533 = 59*p - 7533. What is the smallest common multiple of p and (-14)\/((-2)\/4*2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 + -11234?\nAnswer: -11432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2. Let d be g(-6). Suppose -2*l + 5 = 2*f - 7*l, -l + 1 = d. Which is the closest to -1? (a) f (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/52 + 11\/52. Which is the biggest value? (a) d (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n = -35*n + 26 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761301.8 seconds in days?\nAnswer: 20.3854375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 93*r = -234 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.5675 + 0.0325. Let n = p + -51. Let v = n - 9.4. What is the third biggest value in 0.3, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480b (base 15) in base 10?\nAnswer: -15311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -6 + 1 + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -229*f - 306. What is the hundreds digit of j(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -k + 6, -4*y - 2 = k - 12. Suppose y*w + 2 - 8 = 0, 2*q + 2*w - 178 = 0. Let x = -42 + q. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 2\/3, 0.2, 4, -5\/3, 7779359?\nAnswer: 7779359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 7:09 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-16 - -22)*14\/12 and 2\/(-3) - (-34)\/6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2294.19 rounded to the nearest 10?\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z. Let y = -14.9 + 15. Let c = y + 0.4. What is the nearest to z in -3, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -12, -13, -24, -51, -100?\n\"Answer: -n**3 + 4*n**2 - 2*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -66, -153, -276, -435?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 times 6797525?\nAnswer: -2447109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 243 and 0.1?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70098538337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4349*u = -5394*u - 100320 for u.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -80*x - 86. Determine m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.4 + -7. Let d = 87729946 + -87729948.40000053. Let s = d + x. Round s to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 10:49 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhhhihha. What is prob of sequence aah?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -5)\/(-2) - 247. Let j = 107 + z. Let a = j - -237. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + 0.1. Let g = -0.5 + w. Let r(c) = 2*c**2 + 2*c + 1. Let l be r(-1). Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87643233.\nAnswer: 3, 179, 54403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 3*k - 9*k**2)*(0 + 14 - 1)*(22*k - 6*k - k) to x + m*k + r*k**2 + p*k**3 and give p.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -3*z**2\/2 - 8*z - 15. Let o be n(-4). Suppose 2*s = o*s + 2. What is the nearest to -0.15 in 3, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/4 - -3)*-2. Calculate the smallest common multiple of 33 and 9 - (-5 - f - 2).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a - 25. Let d be h(8). Suppose k + 20 = -4*s, -2*s - d = k + s. Find the first derivative of -19*i**4 + k + 1 + 15*i**4 wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483878.34 + -21014\nAnswer: -504892.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9474 + 84*j - 9474)*(2*j**3 + 0*j**3 + 0*j**3) to the form c*j + x*j**4 + y + s*j**3 + u*j**2 and give x.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/4 - (-5)\/(-10). Let h be (l\/5)\/((-6)\/15). Suppose -18 = h*c - 118. What is the remainder when 72 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 468*u**2 + 3080*u.\nAnswer: 4*u*(u - 110)*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 21. Let v = -7.8 - 0.2. Let c = v - n. Sort c, 0.4, 0 in descending order.\nAnswer: 0.4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75797208.\nAnswer: 2, 3, 53, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4326781 (base 9) to base 8.\nAnswer: -10665227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2076 and 872439?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccecccclheleeec. Give prob of picking 2 l and 1 e.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*a - 38*a + 170. Suppose -a*o - 12 = -23*o. Let u(y) = -y**3 - 7*y**2 - 8*y - 7. Let c be u(-6). What is the highest common factor of c and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 - -0.16. Let z be (6\/10)\/((-71)\/(-355)). What is the nearest to z in 0.2, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119349 is divided by 2013?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = -69. Is j greater than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/5, -4, 42, 0.275, -1\/2 in increasing order.\nAnswer: -4, -1\/2, 1\/5, 0.275, 0.5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 516 - 515.932. Let n = x + -0.168. Put -7, 2\/25, n in descending order.\nAnswer: 2\/25, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (-38 + 35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 7*m**3 + 3*m**3 + (m - m - m**2)*(-4*m + 6*m + 3*m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/145 and 19\/58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134 - -139. Let q(n) = -n**2 + 5*n - 1. Let l be (48\/(-80))\/((-1)\/5). Let c be q(l). Solve 3*h + 2*b + 2 = 4*h, -m*h = -c*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/31 (b) 0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51624 (base 8) to base 13.\nAnswer: -997b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (414\/115)\/((-11)\/(-55))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -17*f**4\/12 + 22*f. Let d(r) = -r**2. Calculate k(d(b)).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 6*y - 6. What is the smallest common multiple of n(8) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1 (c) 1\/4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4\/3*c - 2*c**2 + 2\/3*c**3 = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**6\/90 + 67*c**5\/60 + 125*c**4\/6 + 146*c**3 + 324*c**2 + 176*c - 1. Find n, given that q(n) = 0.\nAnswer: -54, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1829287502 rounded to 3 dps?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22260 - -3?\nAnswer: -22254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/11 + 217647556*j\/11 - 5921307329096642\/11 = 0.\nAnswer: 54411889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8287531*f**3 + 8287539*f**3 - 1 + 1 - 3*f.\nAnswer: 8*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -2*j**4\/3 + 49*j + 7. Let y(u) = -48*u. Give d(y(p)).\nAnswer: -18432*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or 230752?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o**(-20)\/o))\/o)*o*(o*o**(8\/7))\/o)**(-30))**10 assuming o is positive.\nAnswer: o**(37500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*o - 35, -o = x - 3 - 10. Let w = -1 + 6. Suppose 3*n + 5 - 17 = y, -5*n + x = -w*y. Solve -y*t - 1 + 10 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 4. Suppose -5*l - 45 + 40 = 0. Let k be (14\/(-4))\/(l\/2). Give n(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4987 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (11 - (22 - 5)) - 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42048 divided by 3?\nAnswer: 14016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 11. Let f(p) = -5*p - 21. Calculate 6*f(g) - 11*w(g).\nAnswer: 3*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169825\/8 != 21229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3456 is divided by 1727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 107 + 24*a + 111.\nAnswer: 24*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 - 18. Suppose -3*r = -2*r - 76. Let o = q - r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5 + 9. Let r be (-4)\/l - (-238)\/(-85). Sort -1\/10, -2\/3, r in decreasing order.\nAnswer: -1\/10, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*51)\/1*1. Suppose 0*m - g = -3*m. Calculate the remainder when m is divided by (-1)\/3 - (-32)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {f: 1, e: 2, b: 1, q: 2, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(28)*1*-6)\/((sqrt(160)\/sqrt(4))\/sqrt(10)) + ((sqrt(77)\/(-4*sqrt(11)*-2))**2 - (1 + 2*sqrt(7) + -4)).\nAnswer: 199\/64 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/(sqrt(12) - sqrt(48)\/sqrt(4)*-3))\/(sqrt(27)\/((sqrt(576) - sqrt(36)) + sqrt(36))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1835.\nAnswer: 7\/1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*z - 34. Let y = -3 + z. Let l(d) = d**y + 1 - 3*d**2 + 3 + 5*d - 2*d**2. Give l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/7))\/o**(1\/18)*o\/(((o\/o**(11\/6)*o)\/o)\/o)*(o\/(o\/(o*o**(-46)\/o)))\/o assuming o is positive.\nAnswer: o**(-2741\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*i = 2*y - 246667, 2*i = 4*y - 328872. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3. Let i(y) = -4*y**2 + 2*y + 10. Let o(s) = 11*a(s) + 4*i(s). Let g(r) = 14*r**2 - 23*r - 20. Give -6*g(k) - 17*o(k).\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*o + o, 0 = 2*x + 4. Let f be (-1)\/1*((-1)\/(-1) - o). Solve -4*k + 16 = -y, -3*y - 3 = 3*k - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 368, -2, 10894?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48*((-2)\/4 + 1). Let i = -9 + y. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*o - 10, 5*o + 6 + 15 = 4*v. Suppose -2*s = 2*x - 550, -v*s + 1411 = s - 4*x. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - -2*(-14)\/16 - (-15)\/20. Solve -u*q - 3*h + 0*h - 20 = 0, 3*q - 4*h - 17 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 9*c + 18. What is y(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 167 = 171 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81487 and 77.\nAnswer: 896357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(-2\/19)))**14)**(-37\/5) assuming h is positive.\nAnswer: h**(18648\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40255\/4164 - 1\/1388. Find the common denominator of (6\/(-1) - -7) + (-108)\/448 and w.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*n + 16, 5*h - 15 = 4*n - 3*n. Let x be h*(-3)\/6*0. Solve 3*f = -x*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 909*l - 911*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*n + 1140*n = -3, -4*t + 2*n + 22 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c. Calculate the least common multiple of v(10) and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61465 - 37049. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -0.6, -5\/3, 3 in decreasing order.\nAnswer: 6, 3, -0.6, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 9*v + 0*v**3 - 8*v**2 - 10 + 2*v**3 + v. Is 4 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -3. Suppose -4*r - 44 = -52. Let q be (2 + r*9\/(-6))\/6. Which is the closest to 2? (a) 1 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2 - 1) + 2\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*((-153 - 2) + 3). Let i(l) = -b + 76 + 6*l. Let a(j) = 5*j**2. Give i(a(n)).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 405325301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13328 and 20216.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) 0.2 (c) -3 (d) 0.92 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24848926 and 8428.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 30. Let w(j) = -j - 10. What is -2*t(f) + 7*w(f)?\nAnswer: f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41632\/3 - 191633\/24. Let u = g - 5885. What is the common denominator of 103\/14 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.18119 rounded to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/168 - n**6\/120 - 8*n. Factor y(a).\nAnswer: a**4*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 1 + 2*t + 0*t + 3*t**2. Let w be p(1). Suppose -40*s - 22 - 2 = -32*s. Put w, s, 2, -4 in descending order.\nAnswer: w, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31077261 to the power of 1\/2, to the nearest integer?\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*r + 20*r - 272*r to h*r + d and give h.\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-3) + 1428\/63 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*c**5\/8 + 81*c**4\/8 + 183*c**3\/4 - 531*c**2\/2 + 399*c - 180 = 0. Calculate c.\nAnswer: -5, 6\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6*253\/((-210749)\/7140).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -1445, -3304, -5917, -9290, -13429?\nAnswer: -18340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 - 3. Let d(h) = -6*h**2 + 3*h**3 + 8 + 0*h**3 + 13*h**2 + 0*h**3. Let b(z) = 3*d(z) + 8*r(z). Find the third derivative of b(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/4, -1.6, 0.5, -3 in descending order.\nAnswer: 0.5, -1.6, -3, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*m + 1281050 = -270379 + 152304. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 16, 14, 26, 58, 116, 206, 334?\n\"Answer: f**3 - 2*f**2 - 11*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16476953*a + 7868826 with respect to a.\nAnswer: 16476953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 71?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -4*d**7\/35 - 17*d**3\/3 - d**2. Differentiate y(x) wrt x.\nAnswer: -96*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 649.\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbu. Give prob of sequence ui.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215)\/((3825\/(-45))\/17).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 100 + 442. Let h = x - 38. Suppose -11*t + 40 = -4. What is the smallest common multiple of h and t?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*x + 3*u, 3*x = 6*x - 5*u - 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15716120, 31432268, 47148416, 62864564, 78580712, 94296860?\nAnswer: 110013008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12548915*g**2 - 3*g + 423390?\nAnswer: -25097830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 13178243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 76363.89 hours?\nAnswer: 4581833.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -789 - 96\/(-12). Suppose 2*d - 1508 = -2*q, 35 - h = -q + 4*d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -30 + 3 + 27 + 982*k**2 - 217*k**2. Let o(i) = -3*i**2. Calculate o(x(s)).\nAnswer: -1755675*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13312411 (base 5) to base 3.\nAnswer: 20212200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1394, 9, 4, 0.27, -8 in decreasing order.\nAnswer: 9, 4, 0.27, -2.1394, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2290*u + 8. Let j be k(-2). Let a = 6559 + j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -84827850 by -1.\nAnswer: 84827850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55551795 = 115*s + 177*s - 97*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 - -195. What is the second derivative of 755*u**h - 756*u**2 + 2 + 57*u**3 + 4*u + 37*u wrt u?\nAnswer: 342*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*u**2 + 3\/4*u**4 - 9\/4*u + 9\/4*u**3.\nAnswer: 3*u*(u - 1)*(u + 1)*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/9)\/1*(-27)\/18. Let d(u) = -411*u - 2055. Let i(w) = -1. Let y(q) = d(q) - 2055*i(q). Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**2 + 5\/6*o**4 - 5\/42*o**7 + o + 0*o**5 + 0 + 5\/6*o**3 - 1\/3*o**6. Let t(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13503097379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10)*-2*-1 - sqrt(10)) + (-2 + sqrt(52)\/sqrt(4) - sqrt(13))*6)*2.\nAnswer: -24 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -5, 1?\n\"Answer: 6*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 1245\/65 - (0 - 14)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 26*j**2 + 4*j - 1. Let n(u) = -52*u**2 - 6*u + 2. Give 3*n(y) + 5*p(y).\nAnswer: -26*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14 - 15 - 1*-2. Let f = 3 + z. Suppose f*s - 46 + 14 = -2*u, 9 = -3*s. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, c: 5, o: 4, t: 4}. Give prob of picking 2 t and 2 c.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(t**2 - 1 + 1)*(14*t + 8*t + 5 - 21*t).\nAnswer: -t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2603 = 27*n + 1874. Suppose -108 = -2*b - 0*b. Calculate the highest common factor of n and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z + 4*z - 13*z)*((-2 + 4 - 3)*(-4*z + 5*z + 9*z) + z + z + 0 - 2) as v*z**2 + q + n*z and give v.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 13098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: dbd (base 16) to base 3\nAnswer: 11211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 629*j**4 - 30011*j**3 + 59*j**2 - 907100 wrt j.\nAnswer: 15096*j - 180066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 + 7 = 0. Suppose -j = 3*x, -x - x = 4*c - 3866. Let m = c + -168. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:32 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**5 - 612355*a**3 - 203800530*a wrt a.\nAnswer: -160*a**3 - 3674130*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l + 9941 + 0*l + 4879 - l to the form b + z*l and give b.\nAnswer: 14820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*u)*(-245 - 38 + 1205)*(-42 - 81 + 46 - 44) to s + h*u and give h.\nAnswer: 223124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 0.3, 2\/7, 99?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15269, -30881, -46493, -62105, -77717?\nAnswer: -93329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56, 50, 32, -4, -64?\n\"Answer: -g**3 + g + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 != 0.493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2252*216.3\nAnswer: -487107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(3*sqrt(1584) + sqrt(1584))**2 + 1*(sqrt(11) + sqrt(11)*3*-5 + sqrt(11) + -4).\nAnswer: -13*sqrt(11) + 456188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 65141141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 50. Suppose b + 34800003 = 3*y, 0 = -c*y + 2*b + 8911344 + 25888662. Round y to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 g when four letters picked without replacement from {v: 4, g: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226 a factor of 190271062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, -2\/1599, -5, 4.2 in decreasing order.\nAnswer: 4.2, 0.3, -2\/1599, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)\/(-3)*0. Let c(u) be the second derivative of 1\/6*u**3 - 1\/20*u**5 + 0*u**2 + k + 0*u**4 + u. What is the second derivative of c(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2992*-4*-22.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3468*k - 277447. Calculate c(-80).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1456784*x**2*z + 145*x*z - 115*x - 13*z wrt x.\nAnswer: -2913568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*a - 35*a + 13*a)*(475 - 475 + 186*a**2) to the form r*a + w*a**2 + p + x*a**3 and give x.\nAnswer: -12090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 128.5*0.3\nAnswer: 38.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 6*n**2 + 3*n + 1. Let q = -35 + 32. What is the remainder when 70 is divided by f(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/13 - 17529*(-18)\/78 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 46. Give d(13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/6 + 15*c**3\/2 + 21*c. What is the second derivative of h(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28844.83927424 + -4.7.\nAnswer: 28840.13927424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46525\/2 - 23262. Which is the nearest to i? (a) 1.3 (b) 106 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2\/5, 33.2, -9\/5?\nAnswer: 33.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)\/10*(-35)\/(-14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 913 + 3*t**2 - 450 - t - t**2 - 3*t**2 + t**4 - 449 in the form z*t**4 + a*t**3 + k*t + b*t**2 + f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*h = -14985*h - 3281*h - 1212889 + 100208 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137.58 + -137.18. Let w = -12 + 8. Let q = -0.3 - -0.5. Sort h, q, w in descending order.\nAnswer: h, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24379 - 24067. What is the highest common divisor of 351 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 759683940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 1\/12*t**4 + 0*t**3 + t + 0 - t**2. Differentiate p(f) with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:48 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let d(h) = h**2 - 1. Let y(r) = 7*r**2 - 2*r - 2. Let b(g) = z*d(g) - y(g). Find the second derivative of b(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(9\/2)*h)**(5\/3)*((h*h**(2\/7))\/h)**(-7\/3))**(-2\/87) assuming h is positive.\nAnswer: h**(-17\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/36*4)\/((-2)\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3 + 8*m. Let g(h) = 4*h**2. Determine g(i(k)).\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024152 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-515)\/(-4) - (-24)\/(-32). Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 1718*r**3 + 6188*r**3 + 4*r**2.\nAnswer: 4470*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418*o**6*w**2 - 13*o**4*w**2 + o**2*w**2 - 38*o**2*w + 75*o*w**2 wrt o.\nAnswer: 50160*o**3*w**2 - 312*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/4)\/(-27) - 274624\/(-144) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-10) + 315\/(-300). Which is the closest to -4\/7? (a) -1\/19 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*k + 7*q - 4*q, k = -q + 22. Let c = 34 - k. Suppose -3*w = -2*g - 122, 2*g = -w - c + 67. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w + 4 = 0. Let x(q) = -q**3 + 2*q + 2. Let j be x(w). Solve 3*s = -0*s + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbkvobkkvb. Give prob of picking 1 o, 2 v, and 1 k.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7160*f**4*k**2 + 2*f**4*k - 207*k**2 - 33 with respect to f.\nAnswer: 28640*f**3*k**2 + 8*f**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-469)\/(-4) + 2\/(-8). Suppose 414*r - 1118 = 371*r. Calculate the greatest common divisor of r and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 0, -2*p - 3 = b - 0*p. Let v = b + 53. Let o be 4\/16 - (-1)\/(v\/(-5)). Is 4 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41440 (base 12) to base 14\nAnswer: 23128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/489971 and 95\/4.\nAnswer: 1959884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 287*c + 90*c = 0. Sort c, -4, -36.\nAnswer: -36, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**2 + 6*i**2 - 6*i**4 - i**2 - 5*i**2 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.171446 + 396?\nAnswer: 392.828554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000375 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.3 - 32. Let m = l - 1.3. Let b = 3 + -2. What is the second smallest value in m, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 795*f**4 - 1 + 800*f**4 - 47*f + 3*f**2 - 1593*f**4 - 2*f**3 + 2*f**3 to the form k + n*f**2 + j*f**4 + u*f + o*f**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*a + 11, 2*a - 10 = u - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2957845 by -591569.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/221 - -8989\/1768. Calculate the common denominator of 25\/28 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a21 - 4?\nAnswer: 4a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -254, -18, 234, 508, 810, 1146, 1522?\n\"Answer: a**3 + 2*a**2 + 223*a - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1224621879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21392 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*v + 12 = -0*l, 2*v + 4 = 0. Let i(q) = q**2 - 2 - l*q + q - 1. What are the prime factors of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*j - 7 = 0, -p + 4*p = 3*j - 9. Which is the closest to 1? (a) p (b) 16\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooqqqoqqooooqoooo. What is prob of picking 2 o?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewgegzggwwfwgvf. Give prob of picking 1 e, 1 w, and 1 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 856758 + 3335650 = 31*b + 40*b. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3426 - 246 = 265*o. Solve 0 = -r - 2*r + 5*u - 20, 0 = 3*r - 3*u + o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75753?\nAnswer: 3, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14019 + -41993\/3. Suppose -4*x**5 - 8\/3 - q*x**4 - 40*x**2 - 52\/3*x - 128\/3*x**3 = 0. What is x?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2685 divided by 1\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22261757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032 - -33?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -2 (c) -1038 (d) -2\/1471\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2101\/4 + -10073\/20. Let o be (3\/2)\/((-6)\/88). Let f = o + s. Which is the third biggest value? (a) f (b) 0.2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17*j + 1. Let n be y(2). Suppose 6*i = i + n. Let p = -10 + 15. Calculate the least common multiple of i and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 2:23 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590426497.\nAnswer: 590426497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**0\/h))\/h**(-1\/2))\/(((((h\/(h*h\/(h*h\/(h**(-1\/7)\/h)*h)))\/h)\/h)\/h)\/(h*h*h\/(h\/(h\/((h**(1\/6)*h)\/h)))*h)) assuming h is positive.\nAnswer: h**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 - 97) + (12 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 + 24*v + 103. List the prime factors of w(-12).\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 42 = -2*a, -2*s + 4*a = -4*s + 18. Let j = 97 - -590. Let g = j - 667. Calculate the remainder when g is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 4*s + 12 = 21*s. Let d(n) be the third derivative of 22*n**2 + 0*n**4 + 0 + 1\/30*n**5 + 0*n + 0*n**s. Let m(q) = -2*q**2. Calculate m(d(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(7\/2)*u*u*u)\/u)\/u*u**(-3\/7))**0\/(u**(-4)*u**(-1\/3)*(u\/u**(1\/4))**(10\/9)) assuming u is positive.\nAnswer: u**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 577 divided by 59062\nAnswer: 577\/59062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1035, 1\/3, -2\/9, 5.\nAnswer: -2\/9, 1\/3, 5, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 13*c - 10. Let z(j) = j**2 - 3*j**2 + 25*j - 7*j**2 - 19. Let p(r) = 11*t(r) - 6*z(r). Give p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 32 - (18 - 16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 322.18.\nAnswer: -1933.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*g + 18. Calculate the smallest common multiple of g and (1 + (0 - 0))*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -274, -656, -1196, -1888, -2726?\n\"Answer: y**3 - 88*y**2 + 39*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8839*a*b**2*h*j**3 + 2*a*b**2*h*j**2 + 885*a*b*h*j + a*b*j**3 - h*j**3 + 82*h wrt j?\nAnswer: -53034*a*b**2*h + 6*a*b - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, w: 4, e: 1, y: 7, x: 1}. What is prob of picking 1 b and 2 y?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + q - 36, -3*q + 6 = -4*y + 31. Solve -3*a = 3*w + 12, 2*w + y*a = 3*a - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1797130 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-140972)\/16) + -6 + (-3)\/4 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 8*h**2 - 8*h + 10. Let q be i(-7). Suppose w - 2*z = q, 2*z - 6*z + 61 = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*u + 116 - 140, 3*n = 3*u - 18. Solve n = -46*g + 32*g - 70 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 4*i - 3*i + (-2 + 3 - 2)*(i - i + i) - 10*i - 13*i + 6*i to c*i + a and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308980478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, 48, 115, 202, 315, 460?\n\"Answer: q**3 + q**2 + 43*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/6 - c**4\/4 + 2*c**3\/3 - c**2 + 187*c. Let j(m) = 21*m**2 + 13*m - 9. Give -13*d(q) - 6*j(q).\nAnswer: 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 4. Let q be z(0). Let m = 173 - 104. Suppose -s = -q*s + m. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81639 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24070.\nAnswer: 2, 5, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150934 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18*39 - (1 - 4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301200333 + 1?\nAnswer: -1301200332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3 - 45*k - k**3 + 45*k - 28. Let u(n) = 3*n**2 + 2*n**2 - 3*n**2. Determine u(c(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/75, -3\/5971, 155, -4\/7?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - 4*m**2 - 2*m + 2. Let p(u) = -15*u**3 + u**3 + 15*u**3 + u**2. What is g(q) + 4*p(q)?\nAnswer: 8*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 4*b - 12. Calculate q(-8).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -519, 1, 5, 83 in increasing order.\nAnswer: -519, -5, 1, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 2, h: 11}. Give prob of picking 1 g, 2 h, and 1 m.\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -5*y**3\/3 + 232. Let w(o) = -90*o + 36. Let n(i) = 13*i - 5. Let a(q) = 36*n(q) + 5*w(q). Give c(a(v)).\nAnswer: -1620*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1001852730 to the nearest one million.\nAnswer: -1002000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-5 - -22) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.06, -3.1, -2\/9?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-5 - (-11)\/3). What is the units digit of (-2 - ((-39)\/9 - x))*117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*c + 1296 = 224*c + 211*c. Put c, -313, 2 in descending order.\nAnswer: c, 2, -313","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282590340 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = -2*f, 0 = z - 3*f + 2*f - 9. Suppose -12 = -z*v + 6. Calculate the highest common factor of 18 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/35)\/((-15)\/100)*8\/(-64).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*24\/48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*m + 6*m. Suppose 2*f - 51 = 3*l, -l = -6*f + 3*f + 59. Suppose -3*o + f = 3*z, m*z + 2*z = 5*o - 12. Solve 2*d = d - 5*y + o, y = 3*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -15*x + 45. Let w = 10 + -7. Solve h + 0*h = -4*p - x, 0 = -w*h + p + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2. Let u(h) be the second derivative of -121*h**4\/6 + 9491*h. Determine d(u(c)).\nAnswer: 234256*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 + 4*k + 3. Let z be o(6). List the prime factors of 345\/27 - 10\/z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/6*(1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6674*n - 6667*n = 8932. What is the greatest common factor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5186, 7\/293?\nAnswer: 7\/293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -453, -450, -445, -438, -429?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u - 60. Calculate q(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235761548 is divided by 905?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 45*p + 128*p.\nAnswer: 155*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = -h. Let t be 6\/(-22)*8\/(-12). Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -532 + 539. Let x be (-25)\/(-175) - (1 - 41\/7). Solve 0*v + 5*v - x*h + 5 = 0, -5*h + y = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*g**2 + 4853*g**4 + 64*g**2 - 3624*g**4 - 5 wrt g.\nAnswer: 29496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + -43 + -52 + -18?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 184, 554, 1226, 2290?\n\"Answer: 15*v**3 + 16*v**2 + 5*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 2, j: 2, t: 1, u: 2, l: 1}. Give prob of picking 1 l, 1 j, and 1 f.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572271, 572278, 572287, 572298, 572311?\nAnswer: 572326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + (27 - 31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.77789 centuries to decades.\nAnswer: 57.7789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 12*a - 84. Let x be v(19). Let b(u) = -u**2 + 15*u + 12*u - 1 + 23*u - x*u. Let t(w) = -4*w + 1. Calculate b(l) + t(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {e: 1, b: 2, o: 2, g: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 22. Let m be d(-5). What is the common denominator of (m + -6)\/((-6)\/(-8)) and 23\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.4 or 956?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t - 6 = -j, 0 = -j + 2*t. Let b be (j\/(-5))\/((-8)\/(-64700)). Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) 3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + 343. Let o = -368 + b. Solve 11 = o*q - 7*q + 3*i, 3*q = 2*i - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810330703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2448 and 130560?\nAnswer: 391680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 17*q - 11. Let n be y(-8). Let l be (-1)\/(-11) - (-11)\/(-4235)*-185. Which is the biggest value? (a) 2\/3 (b) l (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000399838 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 926355221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1\/6, 0.1, 2\/13, -34\/15, 20\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 138.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.42 (b) 3\/4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*f**3 - 28*f**2 + 406 wrt f?\nAnswer: 51*f**2 - 56*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((16 - 0) + (26 - 40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2*v = -105. Suppose y = -3*q - v, -3*q - 25 = 2*q. Let i(p) = -5*p - 27. What is the units digit of i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - x**3 - 7*x**4 + 5*x**4 + 4*x**4 to b*x + z*x**4 + c*x**2 + y + k*x**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (7 - -1)) + (2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (1 + (4 - 22))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 + 4*g - 3. Suppose -44 = -v - 3*t, -5*v + 3*t + 139 = -63. Suppose 2*f - 5*f = -2*p + 2, -5*p = 4*f + v. Determine r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1582*u + 12658. What is s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 19 = 4*r - 9, 0 = -r - 4*n - 8. Suppose 3*z = -r*p + 8, 0 = -2*p - 0*p + 4*z - 18. Let j = 7 + p. Solve -j + 0 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0472 * -0.76\nAnswer: 0.035872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*o + 2*z + 8, 4*z = 3*o - 40. What is the least common multiple of o and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -28. Suppose -20 + 0 = -5*d. What is the lowest common multiple of d and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5194759 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4587, -6106, -7633, -9168, -10711?\nAnswer: -12262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/120)\/((-5)\/615*-1) + (-4)\/(-40).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 14. Let k be l(-10). Let t be (6\/4)\/(2\/k). List the prime factors of 10 - (-2 - t)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u**3 + 36*u**2 - 8*u + 4. Let b(y) = -y**3 - 1. Let v(d) = -4*b(d) - s(d). Determine o so that v(o) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/12 + 3*y. Suppose d - 15 = -3*a, -3*d - 2*d = 3*a - 27. Let z(u) = 3*u + 3*u - d*u. What is z(x(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z + 32. Let a = 97 - 97. Solve -h + u = -a*h + 1, -5*h - 4*u = z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -1c?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23 = -2*u + 7*u, 22 = l - 4*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*t**3*v**2 + c**3*t**2*v**3 + 2*c**3*t**2 + c**2*t**3 - t**3*v**3 + 11*t**2*v**2 wrt t?\nAnswer: 12*c**3*v**2 + 6*c**2 - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f = -2*v + 31, 80 = 5*v - 5*f. Let h be (v\/10)\/(-1*4\/(-16)). Solve -10*x = -4*x + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -2120, -6810, -15944, -31004, -53472, -84830?\nAnswer: -126560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 + 3*l**2 - 27. Let y be h(5). What is the third derivative of 1052*i + 5*i**2 + 5*i**3 + 76*i**6 - y*i - 6*i**3 wrt i?\nAnswer: 9120*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23*m - 12. Suppose -8 = -c - 5. Let a be y(c). Suppose -3*u + 19 = -2*z - 152, -u - z + a = 0. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19071096 to the power of 1\/2, to the nearest integer?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 15. Calculate the least common multiple of b and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000449734 to six dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 35. Suppose i - 3*i = -j + 1, -4*j - 5*i = -t. What is the greatest common factor of j and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from kkkkooooooo?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*u - 146*u = 12. Suppose -10 + 25 = 5*i. Sort 5, u, i.\nAnswer: u, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*s**5 - k**2*s + 63*k*s - 23432*s**5 + 60*s wrt s?\nAnswer: -20*k**2*s**3 - 468640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 29*v**2 + 9*v - 13. Suppose -5*x = -17 - 3. Is a(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-1)\/((-1)\/2). Suppose -f + 1 = 5*x + 12, 2*f + 3*x + i = 0. Let m be (27\/(-6) + f)*1*0. Sort m, -5, 2, 1 in increasing order.\nAnswer: -5, m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*g = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -325. Let b = 1787 + q. List the prime factors of b.\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -385, -784, -1185, -1588, -1993, -2400, -2809?\n\"Answer: -s**2 - 396*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/((21\/(-63))\/((-8)\/(-48))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -239455 divided by -2885?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - 1 - (138 - 243).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 6. Let h(z) = 5505217*z. Give b(h(d)).\nAnswer: -16515651*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -79*f + 423 - 120 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5624 and -0.097.\nAnswer: 5623.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 1279.\nAnswer: 63.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 0*l**3 + 0*l - 1\/420*l**7 + 0*l**5 - l**2 + 0*l**4 + 0 - 1\/1344*l**8 - 1\/480*l**6. Factor w(r).\nAnswer: -r**3*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Suppose r*w = -w + 180. Let m(q) = 62*q**3 - 7*q - w*q**3 - 27*q**3 + 8 + 8*q**2. Give m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:49 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 45*c + 77. What are the prime factors of g(-41)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*u + 2)*(-2 + 4 - 1) + 14 - 3 - 6 + u.\nAnswer: 3*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 divided by -125925?\nAnswer: 412\/125925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 13*n - 17. Solve 2*r + n = 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5 - 2*r - 3)*(-2*r - 4*r + 2*r).\nAnswer: 12*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 24680736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Suppose 0 = -4*h + l*h. Find the third derivative of m**2 - 2*m**6 + m**6 + h*m**2 - 2*m**6 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-868)\/(-2170)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 + 5*j - 2. Let k be p(-4). Let g = -20 - k. Calculate the smallest common multiple of g and 168\/36*(36\/14)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4658 and 663986?\nAnswer: 90966082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 (base 6) in base 3?\nAnswer: 102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009936352 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2060020 and -67\/50.\nAnswer: 10300100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2223 divide 1015313013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17\/24 (b) 2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48244 + 48289.378. Let k = -130 - -174.5. Let m = u - k. Round m to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-52)\/16)*(3 + -3). Calculate the remainder when 63 is divided by (660\/(-120))\/(1\/(-6) + f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 259508 (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((180\/(-25))\/(-4))\/(6\/1350). Let t = 581 - k. Is 44 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1200 equal to -1198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 - 19 = 5*m, -3*m = 4*h + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174892605.3 milliseconds to weeks.\nAnswer: 0.28917428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20*19.67\nAnswer: 393.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 + 10*t + 1. Let y be (-352)\/36 - (-6)\/(-27). Let s be q(y). Let h be (-4)\/4*1*s. Which is smaller: -5\/6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 7, i: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(180)*-5.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 149840, 151081, 152322, 153563, 154804?\n\"Answer: 1241*t + 148599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 22 = 0. What is the remainder when 840\/22 + 12\/(-66) is divided by -1*(3\/3 - r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 22676?\nAnswer: -22674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:38 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u - 2. Let g(t) = 70*t + 15. What is 30*f(x) + 4*g(x)?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 2936364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1055\/4 - 273. Find the common denominator of h and -25\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 56.5\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/5, 2\/11, -0.1, -2\/19, 52.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n**3 - n**2 + 8 + 2 - 2 - 8.\nAnswer: -56*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93943194?\nAnswer: 2, 3, 313, 50023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1454\/11 + -132. Let j = -329 - -2957\/9. Sort j, n, 1\/2 in ascending order.\nAnswer: j, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 189 = 0. Let f = g + -22. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*n = -1772*n - 983*n + 271760 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -16 in increasing order.\nAnswer: -16, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104989 is divided by 1117?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 29. Let c(m) = -21*m - 2. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let r be p(-2). Let b = 808 - 805. Solve b - r = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j**2 - 3*j + 7. Let a be i(-6). Let v = a - -16. Solve v*t + 18 = -7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 70.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108877824 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*u**2 - 253*u**2 - 123*u**2 + 686*u**2 - 14*u**2 + 8 as s*u**2 + z*u + p and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0693, 0.2, -0.8, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/450*(1225\/(-84))\/35.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1226 or 1219?\nAnswer: 1226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 16. Let l be o(-10). Let w(t) = 18*t**3 - 2*t. Let f be w(-1). Calculate the smallest common multiple of (l\/f)\/(12\/16) and 67.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 30*w - 12. Let g be f(29). Let q(l) = 23 - 7 + 213*l + 12 + 12. Is q(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose 3*n + 5*k - 15 = -0*k, b*n + 4*k - 20 = 0. Suppose 5*p - n = 4*w + 20, -p = 3*w - 5. Solve -p*q = -3 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/22)\/c*c**14\/c)\/(c**(8\/11)\/((c**(-1\/2)\/c*c)\/c)))**(-12) assuming c is positive.\nAnswer: c**(-1284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5922764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 11 = -b + 21, 2*g = b + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152944773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -h - 2, -5*w = -2*h - 1 + 2. Let y = 23 - 6. What is the remainder when 1 - -48 - (w + -1) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5909 = 5*n + 3*f, -17*n = -12*n + 5*f - 5905. What is the remainder when n is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-768) + ((-656)\/60)\/4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30964530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k - 91. What is the remainder when w(11) is divided by ((-1)\/(-2))\/((-1)\/(-50))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1) + -4 + (-11)\/(-4). What is the closest to -2 in 0.1, s, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 4270*s**3 - 183685*s**2 - 187950*s.\nAnswer: 5*s*(s - 42)*(s + 1)*(s + 895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 80318, -0.5, 3\/7?\nAnswer: 80318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/38)\/(241\/48 - 5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:23 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.149675 + -0.17614. What is y rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 1. Let p(i) = i**4 + i**3 - i**2 - i - 1. Let j(q) = -2*h(q) + 2*p(q). Let j(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 - 100\/(-5). Solve -l = -2*d - 5*l + 8, -5*d = -4*l + o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b**8)\/b))\/b)\/(b*b*b*b\/(b*b**(-15))*b*b))**(-3\/7) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 693*k**2 + 368*k**2 + 323*k**2 - 48 - 2*k**3)*(-4 + 4 + 3) to o*k**3 + r*k**2 + s + c*k and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 0.59. Let i = 1\/18 + 11\/18. Which is the nearest to i? (a) -5 (b) -0.18 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/6 (b) -1 (c) 10193 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1078*u**4\/5 - 78036*u**3\/5 + 9634*u**2 + 9888*u\/5 - 584 = 0. What is u?\nAnswer: -73, -2\/7, 2\/11, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*g + 24 = 0, 618*g - 613*g = 4*z - 27. Sort z, 5, -1, -5, 31 in descending order.\nAnswer: 31, 5, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 13*k + 8. Let o be g(-6). Let j be 6 - (o*(-12)\/8 + 6). Solve y + 4 + 2 = -4*t, 0 = -5*t - j*y - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqjj when four letters picked without replacement from frqjrhhrfqiqjj.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v**2 + 2*v - 2. What is the least common multiple of l(-2) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**(13\/4))**9 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 86465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7462 + 0.7662. Which is the fourth smallest value? (a) f (b) -49\/2 (c) -4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 31 - (-170 - -187)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-75)*(2\/(-72))\/((-34)\/(-102)).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l - 39. Let j be u(6). Suppose -5*k + 3985 = -j*r, 0 = 3*k - 0*r - 5*r - 2375. What is k rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkyy when four letters picked without replacement from ykkyyku?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 407006019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 44. Let q be 45\/(-2)*-2*2. Calculate the highest common divisor of h and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.77, -2\/23, 3\/5, 0.2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -11, 2\/23, -0.0689, 1, 2\/7?\nAnswer: -0.0689","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:56 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 16 = 1. Let n = 17 + 10. Let q = 35 - n. Solve v = l*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 2435 = -111. Differentiate 1246*u**3 - 644*u**3 + k - 661*u**3 wrt u.\nAnswer: -177*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 39*l + 4890. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -51*q - 6. Let z be k(-5). Let o = z - 178. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -101, -276, -533, -878, -1317, -1856, -2501?\nAnswer: -3258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362664793 to the power of 1\/3, to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.049607 + 0.549607. Let v = 0.07 + -5.07. Which is the closest to p? (a) -1\/5 (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -85*u**3 - 10*u**2 + 11*u. Let q(p) = -17*p**3 - 2*p**2 + 2*p. Determine -11*q(w) + 2*y(w).\nAnswer: 17*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -0*w - 0*w. Let j = 0 - 2. Let v = 3 - 2. What is the closest to -2\/7 in j, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4720, 4719, 4718, 4717, 4716?\nAnswer: 4715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*3*-6 + 4.\nAnswer: -18*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*x - 234, -4*x - 2*i = -x - 358. Suppose -2*d + 450 = x. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*16\/(-48) + (-41)\/65?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*u + 12226 = 0, t - 283*u + 278*u = 3069. What is the highest common divisor of 161 and t?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -25*x**4\/12 + x. Let n = 547 - 541. Let t(v) = -n*v + 48*v - 43*v. Give h(t(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 9. Let s = -2 - a. What is the least common multiple of s and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 683618.3 weeks?\nAnswer: 413452347840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/(4\/312). Suppose 4*d = 4*l - 4, 4*d = -0*l - 2*l + t. Suppose 0 = 2*g - 1 - l. Calculate the smallest common multiple of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 31409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26\/65*-6*5\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 9}. Give prob of picking 2 j.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33978\/(-19416)*(-1)\/((-42)\/(-152))?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 22*c - 42 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -208 - -213. Solve -x = -3*t + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -760738611201 and -2.\nAnswer: -760738611203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -37 + 2 - (156 + -157 + (8 - -1))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120097822 and 2704?\nAnswer: 960782576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*d**2 + 5*d**2 + 60*d**2.\nAnswer: 134*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1\/4*14. Let q(j) = -2*j**3 + 51*j**2 + 6 + 7*j - 49*j**2 + 3*j**3 - 10*j**3. Let u(m) = -5*m**3 + m**2 + 4*m + 3. Calculate b*u(y) + 4*q(y).\nAnswer: -y**3 + y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11110 (base 3) to base 10\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -67 + (3 - -3 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 28 = 3*u. What is the third derivative of 91*n**3 + 61*n**2 - 31*n**3 - 47*n**u wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373802 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -13478?\nAnswer: 13476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2300 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -245 + 240 + 15 + -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2*j - 2*j + 0 + 0 + j + (-1 + 3 + 0)*(-3 + j + 3) + 3*j + 4*j + 6*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 3*o + 4*o)*(-976*o - 978*o - 4 + 1951*o) as u*o + r*o**2 + c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**1\/i)**(-26)\/(i*i**(-6\/7)*i)**(-4\/31) assuming i is positive.\nAnswer: i**(-11252\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9)\/sqrt(3)))\/(sqrt(12)\/sqrt(4)*6).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7*l = -2. Which is greater: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q**2 - 2623*q\/2 + 17420 = 0 for q.\nAnswer: 335\/22, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*w**3*y**3 + w**3*y**2 + 2905*w**3 - w**2*y**2 + 8*w**2*y - w**2 - 5*w*y**3 + 2*w*y**2 - 19132*y**3 wrt y.\nAnswer: 894*w**3 - 30*w - 114792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 174621*x - 174643. Calculate p(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*29110323\nAnswer: -14555161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z - 17*z + 8*z. Let x(s) = -s**2. Give f(x(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b*b)**(-33)\/(b**(2\/9)\/b**(2\/5)) assuming b is positive.\nAnswer: b**(-5932\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w - 5. Suppose d - 8 = 4*u, 0 = -3*d - 0*d - u + 76. Let v = d - 13. Let x(g) = 9*g + 9. Determine v*r(a) + 6*x(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1432\/69, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 - 570 + 290 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*q, 3*v + 3409*q - 4 = 3405*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*g - 161 + 161 as u + b*g and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 11:18 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 13 + -28 + -2 + -1 - (-27 - -45).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 22*l)*(5 - 2 - 1).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**5\/20 + g**4\/3 - g**3\/2 + 26*g + 1. Let k(b) be the first derivative of q(b). Calculate k(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 6 (c) -0.7 (d) -24 (e) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/120 + 7*a**4\/72 + 5*a**3\/18 + 4*a - 1. Solve r(d) = 0 for d.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 800 - 71?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-3)\/(-3))*4. Suppose u*l = l. Let k = 3 - l. Solve 2*a = -k - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 10 = 0. Let k = 7 - p. Suppose 2*y = f + 10, 0 = -3*y + k*f + 12 + 3. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14766, -1, 0, 230 in decreasing order.\nAnswer: 14766, 230, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s - 4. Let t be 2\/6 + (-1736)\/168. Let j be (t - -8)\/((-2)\/4). Calculate w(j).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2582\/5, -9 in descending order.\nAnswer: 3\/7, -9, -2582\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3, 33, -0.199?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 + 6.2. What is the closest to -2 in -1, -0.1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 19. Suppose 4*y - s = 10. What is the remainder when 73 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 617\/91 + -34\/7. Calculate the common denominator of b and 107\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10430 - 51793 - 313*u + 314*u.\nAnswer: u - 62223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/126 - 4\/(-36)*-16. Let h be 0\/2 + 12\/f + 9. Let k be (-168)\/(-18) + (-2)\/(-3). Solve 0 = 2*u + k, 21 = h*x - u + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2694 and 6.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013160764 rounded to six decimal places?\nAnswer: -0.013161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 212*d**3 + 152*d**2 + 151*d + 1. Calculate n(-1).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(3\/4)\/k*k*k\/k**(-1\/4))\/(k\/((k**4*k*k)\/k*k)*k**(1\/11)*k) assuming k is positive.\nAnswer: k**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 - 5235006*z - 2283773985003 = 0.\nAnswer: -872501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, d: 1, g: 2, f: 4}. What is prob of picking 1 g, 1 u, and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 47 = -13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*x - 12, -3*x - 5 - 4 = 0. Suppose 1046 = 5*v - 7*i + 3*i, 2*v + 2*i - 404 = t. What are the prime factors of v?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/64 and -3\/84584?\nAnswer: 676672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h + 4 = -4*f, 3 = -3*f + 4*h. Let z(p) = -3*p. Let v be z(-4). Let u = 9 - v. Sort f, 1, u in increasing order.\nAnswer: u, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 9*f**2 - 9*f - 7. Let c = -137 + 48. Let z = 81 + c. What is v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(1\/(-24)). Suppose x*m + 15 = 11*m. Suppose m*n = -5, -n - 13 = -f + 3*n. Calculate the smallest common multiple of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2639*s + 5801*s - 2468*s to m + z*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 1 + 73 = 0. Solve 29 - 9 = -v*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*h - 12. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/3))**(-48))**(6\/11))**(3\/5) assuming g is positive.\nAnswer: g**(-1152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away 4601?\nAnswer: -4600.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(2 + 2))\/(-3). Let d = p + 16. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455008 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 1 = 3*z, 5*q + 5*z - 45 = 0. Let l(c) = -2 + 0 + q*c + 0. Let m be l(1). Solve -m*f + 10*f + 4*j = -26, -f = j + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/8 - 7\/(-28))\/1. Which is the third biggest value? (a) 2\/15 (b) -0.5 (c) g (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -0.14 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 76*d. Let w(l) = 1006*l - 2056*l + 1011*l. What is f(w(z))?\nAnswer: -2964*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 + ((-1233)\/45 + 28 - 78274\/14040) and -101\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 41440.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1089 and 2466396?\nAnswer: 298433916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:18 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/7 + 1036*k**2 - 2528986*k\/7 - 362320 = 0. What is k?\nAnswer: -1, 392, 3235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1462538 and 2716142?\nAnswer: 19012994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 14) to base 5\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let c = 20 + -23. Determine s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -14\/27 (c) 2\/11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4744\/7 - -688. Let q = -823\/63 + g. Calculate the common denominator of q and 41\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 5. Let z be c(-5). Let q be 110\/z + (-2)\/4. Solve d + d - 20 = -4*y, -35 = -5*y - q*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1113511, -2227029, -3340547, -4454065, -5567583, -6681101?\n\"Answer: -1113518*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 3*h - 3*u + 6*u, 0 = -5*u - 10. What are the prime factors of h?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = 18*c - 2*c. Let o be (c - -28)\/((-3)\/(-36)). Solve v = 2*j, 0 = 5*v + j - 34 + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 + i - 1. Let d(b) = 82*b**3 - 3*b**2 + 4*b + 4. Let n = 195 - 191. Let r(p) = n*m(p) - d(p). What is the third derivative of r(h) wrt h?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222944, -222948, -222952, -222956, -222960?\nAnswer: -222964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 449. What are the prime factors of g?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43145\/12 + -3599. Find the common denominator of g and 5 - (1 - (-72)\/(-160)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -17 - (2 + -2 - 2)) + 11073 + -11068.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/2510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 2\/33, -1\/3, 1314, 0.04.\nAnswer: -1\/3, -2\/19, 0.04, 2\/33, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.456 + -24\nAnswer: -24.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48179 rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3526306000 rounded to the nearest one million?\nAnswer: -3526000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 - j**2 + j - 6. Let l(h) = h**3 - h**2 + h - 1. Suppose 2*s - 4*s - 2 = 0. Let u(b) = s*l(b) + q(b). Differentiate u(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 2*sqrt(13) + 4)**2.\nAnswer: 44*sqrt(13) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/55)\/((-570)\/418).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 59*m**3 - 3*m**2 + 34*m + 47. What is the ten thousands digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + f)*(-4 - f**4 + 4) + (-f + 3*f + 0*f)*(-2*f + f**4 + 2*f) + 3*f**3 - 4*f**5 - 3*f**3.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*b**3*t + 107*b**3 wrt t?\nAnswer: 98*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494336 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d = 56*d + 3. Let u = -9 + 11. Let b(q) = q**3 + 45*q**2 + 43*q - 39. Let i be b(-44). Solve -d*n + u*f = -3, -4*f - 4 = n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405782.0206 to the nearest ten.\nAnswer: -405780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*-1)\/sqrt(9) - (sqrt(144)\/sqrt(3))\/sqrt(6).\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 12*t**2 + 23*t - 20. What is y(14)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**5\/15 - o**4\/3 + 8*o**3\/9 + 2*o**2\/3 - 2*o + 56. Solve b(m) = 0 for m.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 25034 = -24*b - 5*c, 6*b - 2*c = 150108. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 0.8. Let k be (-33)\/8 - 1\/(-8). Let h = 31.7 + -32. Which is the biggest value? (a) h (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-30)*(-15)\/(-200)*4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (-2 - 19 - 6) - 97.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 17289888.6 to the nearest 1000.\nAnswer: 17290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 0. Let a = 281 + -313. Let m be (-10)\/(-85) - a\/17. Solve 17 = o + 5*p, v = 2*o + m*p - 7*p + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 + i - 5. Let o(y) = 3*y**2 + 3. Let g(j) = -3*h(j) - 5*o(j). Let p(q) = 4*q. What is g(p(n))?\nAnswer: 48*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-48 - -9)*301\/(-21) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 4*z**3\/3 - 1. Let p = 160 - 92. Let f(j) = 68 + 2*j**2 - p. Calculate x(f(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 14*c**2 + c + 18. Let w be q(-14). Put w, -3, 17 in ascending order.\nAnswer: -3, w, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Let a = -47\/5 - -49\/5. What is the fourth smallest value in -3\/2, n, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 11*y**2 + 6*y + 10. Calculate r(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 6*p - 18. Let c be u(-15). What is the greatest common factor of c and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47712.8436 rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15*-289\nAnswer: 4335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:26 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27606735 divided by 224445?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 3760*c**2 + 1092788*c - 101106248.\nAnswer: 4*(c - 482)*(c - 229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let z(r) = -r - 3. Let y be z(n). Suppose 4*d + 6280 = -7*l + 4*l, -4*l + 3*d - 8415 = y. What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/27113465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - v = -8, -17*o + 20*o - 5*v - 40 = 0. Let n(k) = -5*k**3 - 2*k. Let r(x) = -10*x**3 - 5*x. Give o*n(t) - 4*r(t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1443*u - 791*u - 429*u as s*u + w and give s.\nAnswer: -2663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -475, -473, -471?\n\"Answer: 2*n - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35912042 to the power of 1\/2, to the nearest integer?\nAnswer: 5993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*k, 0*q - 4*k + 16 = 4*q. Let m(c) = -2 + 13*c**2 - c**q - 3 - c - 19*c**2. Let u be m(-6). Put -2, u, -3 in decreasing order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.73 - 0.43. Suppose -3*f + 3 - 6 = -4*o, 5*f - 9 = 2*o. What is the third biggest value in o, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.781 - 5.419. Let h = y - -5.2. Suppose -12 = 3*d - d. Which is the smallest value? (a) d (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 89 = 4*z + 103, -4*c = 16. Let p = z + 75. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8882, 8718, 8554?\n\"Answer: -164*h + 9046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3836 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26292)\/(-1) + (-6*9\/(-27))\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 - 55 = 2*h - 4*i, -4 = 4*i. Solve -h = -5*l - 53 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-48)*-3*12)\/((-6)\/(120\/44)).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2, -0.5, 2\/111 in ascending order.\nAnswer: -2, -3\/2, -0.5, 2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*x + 23294402 - 4*x**2 - 23294402 + x**3 + x**4 to w*x + y + b*x**4 + a*x**3 + o*x**2 and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4\/11 - 365*n**3\/11 - 505*n**2\/11 + 1605*n\/11 - 738\/11 = 0.\nAnswer: -3, 2\/3, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23049041.\nAnswer: 23049041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2200798, 2200800, 2200802, 2200804?\nAnswer: 2200806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -92327 - 11*x + 184587 - 92431. Determine w(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11*(-16)\/528)\/(30\/180). Determine q so that 60*q - 3\/2*q**c - 600 = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 93423, 6 in decreasing order.\nAnswer: 93423, 8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 41 = o, -b + 5*o = -19 - 7. Suppose b*l = 10*l - 68. Let f = l + 78. What is the greatest common divisor of 35 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 + 23 = 3*l, -3*i - 2 = -l. Suppose 20 = l*z - 12. Sort 3, 0, z, -4 in increasing order.\nAnswer: -4, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -4 (c) 43\/3 (d) -932 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2535 and 1252320?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -93010 to the nearest one thousand.\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -265*t**4 + 255*t**3 + 10*t**2.\nAnswer: -5*t**2*(t - 1)*(53*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/23 + 139\/138. Let o(c) be the second derivative of 1\/20*c**5 + 8*c + 0 + z*c**3 + 0*c**2 + 0*c**4. Find the second derivative of o(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.028 and -732858359.5.\nAnswer: -732858359.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -413341?\nAnswer: -413331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**3 + 53 - 53)*(1855 + 110*n - 1855) + 6 - 6 + 5*n**4.\nAnswer: 1215*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1195, -1132, -1069?\n\"Answer: 63*s - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47914567 is divided by 23957280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.6 - 19. Let k = -9 + v. Let s = -1.6 - k. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:51 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10313206 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2519, 5058, 7599, 10142?\nAnswer: 12687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - g + 10 + 5, 2*j = -4*g. Is -2*3\/j*-11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3329 = 6385. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*t = p + 106*t + 13, 62 = -9*p - 2*t for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1155?\nAnswer: 115a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 70 - 70.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9*c = 0, -15 = -5*r + 2*c. Solve -v = -r*b - 9 - 2, 0 = 3*v + b - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4940 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -848060 (base 9) to base 6\nAnswer: -14451430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3178719896 to the nearest integer?\nAnswer: 56380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 6\/337065925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 29*m**2 + 33*m + 83. Let a = -42 - -12. Let j be g(a). Let q(v) = v - 10. Calculate q(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5256\/(-248) + (-1998)\/(-10323)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19182183 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8 - 3*b**2 + 54*b - 50*b - 2. Let j be h(7). Which is smaller: j or -128?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*c = 2*u - 10, 4*u = 3*c + 11. Suppose 3*z - 583 = -2*k, 4*k - z - u*z = 1139. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 9. Let l(x) be the first derivative of -x**2\/2 - x + 1. Let g(i) = 3*i + 8. Let m(c) = g(c) + 4*l(c). Determine 5*m(o) + 2*w(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 92009 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:34 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 234*p + 1. Let l(v) be the third derivative of -7*v**5\/60 - 3*v**2 - 1785*v. What is o(l(h))?\nAnswer: -1638*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.3158 weeks in nanoseconds?\nAnswer: 271746195840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in -1\/15, 2\/13, -2\/17, 28?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f + 3*f**2 - 2*f - 2*f**2. Let o = -39 + 44. Suppose o*x + r = -31, x - 4*r + 3 = 1. Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 3\/2, -1\/7, 0.1, 17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (4 + (-1 - -4) + -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*z - 8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47450 in 1\/5, -6.4, -1?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.55 + 58.26. What is f rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 594266?\nAnswer: 2377064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/4 - 777*j**2\/4 + 127809*j\/2 - 619370 = 0.\nAnswer: -1028, 10, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3)\/(8\/(-12)). Suppose v*o - 4 + 0 = 0. Let j(w) = -2*w + w**2 + o - 5 - 2*w**2 - 3*w. Determine j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - 0.91. Let v be (-1)\/(-4) + 73\/(-4). Let j be -1 + v\/14 + 2. Sort -0.2, j, l.\nAnswer: l, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4093\/27398 - -15\/103. Let i = 125\/2128 - a. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 - -1306?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose -4*t = 2*u + u - 104006, 5*u + 51990 = h*t. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1033 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3381808 is divided by 6228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 - 28*j**2 - 40*j = 0. Calculate j.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14328 + -358214\/25. Find the common denominator of x and -163\/720.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33704\/19150*100\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b - 2705 = -65*b. Let x = b + -174. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-28\/5)*y**(3\/8)*y\/((y*y\/(y\/((y\/y**(-4))\/y)*y*y*y))\/y))**(-19\/4) assuming y is positive.\nAnswer: y**(-57\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 33*s**2 - 64*s - 78. Calculate i(-31).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 15. Determine v(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 1\/64, 5\/2871, 5, -2\/7, 4?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33 + 3\/6*-2. Suppose 0 = -t + 5*g + s, 5*g = -5*t + 5 + 5. Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -161, -213, -231, -203, -117?\n\"Answer: 2*i**3 - i**2 - 85*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 512 - 512.000886. Round p to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047005 rounded to 6 dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -0.031831 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97654.92 milliseconds in microseconds?\nAnswer: 97654920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4889 - 4884. Solve -4*r + s*q = 32, 3*r + 13*q = 15*q - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*t = 11, -4*q + 2*t - 5 = -13. Solve 2*g + 15 = q*v, 27*g - 20 = -4*v + 24*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from rojdwgo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 3:13 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*k - 18, -k + 14*w = -428 + 446 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*o = 5*p - 6, 5*o = 5. Suppose -20 = -3*d - p*d. Suppose 6 + 2 = d*b. Solve 0 = -b*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 2*f**2 + 4*f**2)*(32 + 8 - 18 + 28)*(-1 - 1 + 3)*(-3 + 0 + 12).\nAnswer: -450*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 5*t + 39 = 0, -3*t + 15 = -2*f. Let q be (6\/10)\/(4\/(-20)) - f. Put -0.2, q, -1 in increasing order.\nAnswer: -1, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1188 divided by 6\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*v - 1 = 3, 8 = 3*h - 4*v. Suppose c - 3 = l, -l = -h*c + 7 + 5. Find t such that t - 2*t**c - 2*t**5 + 3*t**5 + 0*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11484 and 435?\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(85)*2 - sqrt(85) - -1*2*sqrt(85))\/(sqrt(20)\/sqrt(4)*4 + sqrt(180) + sqrt(5)).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13506605?\nAnswer: 5, 7, 29, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 0*v = -72. Let o be 1\/(2\/v) + 2. Let z(j) = -j**3 + 6*j**2 + 3*j - 3. List the prime factors of z(o).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(138\/152))\/((2\/9)\/(154\/(-231))).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -32*u + 91. Calculate t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29214?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/12 - 11*p**3\/6 + 5*p**2\/2 - 25*p. Let l(s) be the first derivative of u(s). Give l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -313, -665, -1021, -1381, -1745?\n\"Answer: -2*v**2 - 346*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*g = -3*m + 1050*g + 24, -m + 8 = -g for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.7925 nanograms to grams.\nAnswer: 0.0000000137925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -53*r**2 + 2. Let x(s) = -1977*s + 1. Give x(q(m)).\nAnswer: 104781*m**2 - 3953","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3357+3\nAnswer: 3.3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 24*m + 16. Calculate a(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, n: 1, x: 2, u: 12}. What is prob of sequence xnz?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -114313, -114335, -114357, -114379?\n\"Answer: -22*h - 114291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17526710.\nAnswer: 2, 5, 839, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {i: 3, x: 2, o: 1, s: 2, k: 3, r: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y = -18*y - 3*y + 362934. Calculate the greatest common divisor of y and 1410.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2512*f**2 - 45*f**3 - 47*f**3 + 2560*f**2 - 4874*f**2 wrt f?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/7 + 4202334*d\/7 + 4414902761889\/7 = 0?\nAnswer: -2101167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1149*q**2. Let n(m) = -420*m**2. Calculate b(n(w)).\nAnswer: 202683600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-82 + 30 + 18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)*r*r**(-2))**(-20)*(((r*r\/(r**0\/r))\/r)**23)**(-48) assuming r is positive.\nAnswer: r**(-2028)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.02, 0.3, -3, -0.04, -961514?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82342 + 33.19758. Let q = k + -0.021. Let u = q - 34.00063. What is u rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0636 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, 1, 34 in increasing order.\nAnswer: 0, 1, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637006.\nAnswer: 2, 318503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 82*r**2 + 2*r + 9. Let p(u) = -u**3 - 19*u**2 - 34*u - 2. Let m be p(-17). Is n(m) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -37*f - 35. Let n = 60 - 50. Suppose 9*v + 44 = -n. Is t(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b + 0*b**3 - 3*b**2 + 4 - 6*b**2 - b**3 - 9*b. Does 43 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3826482915 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * 627405.\nAnswer: -77170815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3487 = 5*a + 1292. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*b - 4*h - 9, -5*h = 2*b + 17. Suppose w - 189102 = -4*w + 4*n, -5*n + 113439 = 3*w. Let p be 8 - 7 - w*(-22)\/b. Round p to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1710\/7*g - 3\/7*g**2 - 243675\/7.\nAnswer: -3*(g - 285)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 44. Suppose -5*i - 135 = -6*w + w, 2*w + 4*i - 60 = q. What is the lowest common multiple of w and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-35) - -9*(-294)\/45. Find the common denominator of 7 + -6 - (1 - b\/4) and 97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) + (-2)\/(-7). Differentiate k*z**2 - 2 + 6*z**2 - z**2 - 11 with respect to z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 16359\/665 + ((-14)\/(-10) - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 156*792\/1144.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.4 (c) -46\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4050)\/(64 + -19)*(-2)\/25.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 366.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - w. Let h(u) = 17*u. Let p(m) = 3*m. Let f(k) = h(k) - 6*p(k). What is r(f(n))?\nAnswer: 4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4314 - -21962\/5. Let o = 4282\/55 - r. Let c = 6 - 25\/4. Is c at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -68*k - 9. Let p(g) = -9*g + 76. Let y be p(9). Let n(i) = 70*i + 8. Let h(t) = y*n(t) - 4*u(t). Find the first derivative of h(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032695 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-177)\/12)\/(198\/24). Let d = -16\/11 - v. Let s be (-2)\/(-3) + 24\/(-27). What is the third biggest value in d, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 445622 + 14?\nAnswer: 445636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*6\/(-12) + 304. Suppose 2*j = -2*q + 3*j + 216, 3*q = -4*j + b. Calculate the lowest common multiple of q and 18.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220202 - 1?\nAnswer: -2220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) -10 (c) -1\/6 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7487?\nAnswer: 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 5*z)*(-17 + 15 + 56)*(7 + 1 + 5).\nAnswer: -1404*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/19 - 56*t\/19 + 96\/19.\nAnswer: 2*(t - 4)*(t - 2)*(t + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 - 22.6. Let h = 3.2 + t. Let g = h + 12.9. Which is the closest to 0? (a) -0.3 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 3*f**2 + 145 + 2*f**2 - 3*f**2 - 66.\nAnswer: 2*f**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, 55, 3 in decreasing order.\nAnswer: 55, 3, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10432*y**2 - 25*y - 10434*y**2 + 20868*y**2 + 0.\nAnswer: 2*y**2 - 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 72. Suppose -3*k - 5 - 73 = 0. Let v = w + k. Let j(t) = t + 1. What is j(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 137*r**3 - 141*r**3 + r**2 + 279*r**3 - 8*r.\nAnswer: (r - 3)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w - 495 + 223 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-159\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12222048 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 - 16*c + 16*c + (10 - 10 + 9*c**2)*(2*c + c + 2*c) + 1 - 1 + 2*c**3.\nAnswer: 43*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:54 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 41*s + 183 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 928*p + 4 + 280*p + 2 - 1 to j*p + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**2. Let m(l) = -40664847*l. Give g(m(b)).\nAnswer: -13229038252267272*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25230 - 25064. What is the remainder when 520 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1305 = -0*q + 5*q, 4*q + 3180 = 5*s. Let a = 191 - 191. Suppose a = -3*v - 2*v + s. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11158*(-387)\/18*-1. Suppose -4*b - 319852 = -4*q, 47*q - b = 44*q + p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10200338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 159536\nAnswer: -1\/79768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m**2 + 9*m + 14. Let x(w) = 3*w + 40. Let j be x(-15). List the prime factors of d(j).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -0.520202.\nAnswer: 5.479798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:43 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15355?\nAnswer: 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29929*j**3\/6 - 30275*j**2\/6 - 347*j\/6 - 1\/6 = 0. Calculate j.\nAnswer: -1, -1\/173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**3 + 1018*d - 1018*d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 178*q + 1053. Give d(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32c - -26a99?\nAnswer: 2676b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 414 = 436. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 10:13 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a + 0*a)*(5 - 2 - 1) - 18*a - 12*a - 12*a - 5*a + 3*a + 0*a + (11 + 0 - 2)*(-a + a - a) to g + s*a and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:07 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*n - 389*n + 709 = -816 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**6\/40 + u**5\/20 + 3*u**4\/4 - 39*u**2\/2 + 47. Let l(z) be the second derivative of v(z). Factor l(p).\nAnswer: -3*p*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16\/21, -3\/7 in decreasing order.\nAnswer: -3\/7, -16\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777739 is divided by 21602.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -674*i - 802.\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 35648\/2560)*5\/9?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -216609301575.\nAnswer: -216609301577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911995 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:24 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**2 - 5*o - 12. Suppose -34*c = -29*c - 35. Let k be m(c). Suppose -464 = -4*x + 2*t + 8, 2*t - k = -5*x. 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 cube root of 36175 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 8*y - y**3 + 1\/2*y**2 + 8. Let n(v) be the first derivative of g(v). Let f(u) = -5*u + 1. Determine -4*f(q) + 3*n(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16367565 by -16367565.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j + 4*j + 0*j)*(-4*j**3 + 4*j**3 - 8*j**3) + 2*j**4 - 2*j**4 - j**4 to the form g*j**2 + d + x*j**4 + p*j**3 + w*j and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 4)*(-216 - 3 - 3) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6)**(-44)\/(n**(-12\/11)*n**(3\/10)\/n))**(-40) assuming n is positive.\nAnswer: n**(115372\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5483324 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109466173?\nAnswer: 89, 1229957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 7*l - 3*l - 70, 2*a = -3*l + 28. Calculate the highest common divisor of a and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 12. Suppose 150 = -3*f + d*f. Let k(a) = -2*a + 4. Let v be k(-4). Calculate the highest common divisor of v and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -535*q + 19504. Calculate b(37).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-11 + 2) - (-1 - -12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1746572891 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + 0.07. Let m be 0 - (-3)\/(-42)*4. What is the biggest value in 4\/7, j, m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26315 is divided by 1749.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-20))\/((-3)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -11\/2, 0.1, -0.5, 0.5, 0.195?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 45. Suppose -n = -2*q + 7, -2*q + g = 2*q + 3*n. Differentiate -11 - 14*v**4 + q*v**4 + 1 wrt v.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:36 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-45)*-3 - -2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y + 69. Suppose 2*n - 2*t - 9 = 1, 4*t = 5*n - y. What is the units digit of ((-3)\/(-2))\/(n\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352324147?\nAnswer: 7, 50332021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 + 8*t. Let f(z) = -2*z**2 - 3*z. Let m(x) = x**2 + 11*x + 18. Let d be m(-10). Let y(o) = d*f(o) + 3*q(o). Let h(b) = -36*b**2. Give h(y(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 149. Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79229647 or 79229649?\nAnswer: 79229649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 35 (c) -4 (d) 3 (e) -5 (f) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 3:24 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 793 - 790. Let u(f) = 45 - 145 + 50 - y*f + 50. Let x(r) be the second derivative of 7*r**4\/12 + r. Give u(x(m)).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/6 + -5 + (13 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y + 368 = 0. Let p = -42 - y. Let c(s) = -s**2 + 58*s - 196. Let n be c(54). Calculate the highest common factor of p and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(6 + p - 8 + 11 + 7) in the form x + b*p and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = 5*p, -8 = 2*p - 2*y - 0*y. Suppose 2*n + p = 3*n. Solve 2*v + 5 = -s, -4*v - 14 = -s - n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 6, y: 3, d: 5, l: 2}. Give prob of picking 1 q and 3 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*o + 2*k, -3*o = 3*k - 12. Let m = -12 - -17. Suppose m*g + 8 = 23. Solve h + 5 = 2*v - 7, 0 = g*h - o*v + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 + ((-2963480)\/(-220))\/13. What is the greatest common divisor of 28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 - 175*o**4 + 630*o**3 - 290*o**2 - 635*o + 465 = 0. What is o?\nAnswer: -1, 1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: aab (base 15) to base 16\nAnswer: 96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323640898?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)\/sqrt(2))\/(2*sqrt(320)) + -2 + sqrt(28) + sqrt(700)*-3.\nAnswer: -225*sqrt(7)\/8 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -7052288?\nAnswer: -7052292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.19 - -0.15. Let v = 0.04 + w. What is the nearest to 3 in -1\/10, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z*z\/z**(-2\/9))\/((z\/z**(4\/7))\/(z*z\/(z**1*z)))*((z*z\/z**(-4\/5)*z)\/(z*z\/z**(-11)))**(-6) assuming z is positive.\nAnswer: z**(14803\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 10*o**2 + 21*o - 22. Let g be c(12). Suppose 0 = -5*i + 97 + g. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6.3953\nAnswer: 4.6047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5598, 5595, 5592?\n\"Answer: -3*z + 5601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r + 15. Is c(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 26. Suppose 0*o + d = 5*o. Let l(i) = 4 + i - 4*i + 3*i**o - 4*i**2. Give l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/8 + 3*p**3\/4 + 3*p**2 - 38*p. Factor b(z).\nAnswer: -3*(z - 4)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswwschslhwwww. Give prob of sequence hhc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220011 (base 3) to base 13.\nAnswer: -3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10110000010?\nAnswer: 10101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8270 - 82769\/10. Calculate the common denominator of z and -89\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 - 5)) + (-11 + 4 - 25)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -13805*m + 13754*m - 727 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -23. Let z = 7 - 6.94. Let l = z + -3.06. What is the biggest value in -2, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 39292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d - 3. Let j be t(-2). Let f = 2.92 - -0.08. Let h = 4 - f. Which is the closest to -1\/3? (a) 1\/7 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -7. Let d = 46 - w. Solve -2*t + d*t - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -8*o + 4*o. Suppose 9*q - 153 = 522. Suppose -7*b + q = 5. What is the lowest common multiple of b and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*3*2\/6. Suppose 3*y - 8*y + 13 = -k, y - 17 = 5*k. Calculate the remainder when 9 is divided by (y + z + 0)*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-339 + 3)\/(-2) + 3. Let w be 8\/(3 + (-507)\/u). Let i = w - 101. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(351\/30)*82\/205?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 6*m - 18, 4*k - 7 - 8 = -5*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 - 44*i**4 + 132*i**3 - 148*i**2 + 56*i = 0?\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 - 3. Let k be c(-3). Suppose -i = -k*i + 15. Solve -2 = i*z + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*h - 653 + 86, 3*h = 4*i + 346. Suppose -5*q - 4*m = -37 - 156, 3*q - h = -3*m. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 578 and 24650?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 4*k**2 - 1. Let d be v(5). Let q = 133 + -78. Let f = d + q. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i - 5. Let l(n) = 4*n + 3. Let a(x) = -5*l(x) - 3*m(x). Let h = -20 + 24. Suppose 0 = h*b + 20 - 8. Give a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 2. Let b(z) = -z. Let f be (-133)\/(-3) - 4\/(-6). Suppose 1568 = 66*r - 1138. Let p = f - r. Determine p*b(h) - t(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000709125 to seven dps.\nAnswer: -0.0000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 41093585*t**2 + 82187155*t + 41093575.\nAnswer: 5*(t + 1)**2*(t + 8218715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282512231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -118475653.6 to the nearest 1000000.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(33)\/(-6*sqrt(12)\/sqrt(4) - sqrt(3)))**2.\nAnswer: 1584\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2325, 2324, 2327, 2334?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide (72\/10 + 0)\/(10\/575)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 3, y: 2, h: 4, s: 1}. What is prob of picking 1 h and 1 x?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1.1. Let i = 47\/3 - 605\/39. Sort 2\/5, i, q in descending order.\nAnswer: 2\/5, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*s**2 - 3*s**2 + 0.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3221853 divided by 3.\nAnswer: 1073951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -5. Let o(q) = -12*q + 4. Let m be o(n). What is the highest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:50 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -13*j - 26 - 41. Put 0.152, j, -6 in increasing order.\nAnswer: -6, j, 0.152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/21)*l*l**(2\/9))\/(l\/l**(-9)*l*l**(-8\/7)) assuming l is positive.\nAnswer: l**(-550\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431797651 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9001309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120871077?\nAnswer: 3, 31, 1299689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 452350010 to the power of 1\/2, to the nearest integer?\nAnswer: 21269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, -3, 2, 594 in increasing order.\nAnswer: -173, -3, 2, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let o(q) = 11*q - 16. Let c(g) = g + 1. Let n(d) = -4*c(d) - o(d). Let z be n(-10). Let i(s) = -5*s**2 + 162*s - z*s. Calculate v(i(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10995 or 3732?\nAnswer: 3732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 44.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*m = 3, -4*a = -5*m - 33 + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, f: 1, r: 3, z: 2, p: 2, o: 4}. Give prob of sequence opoz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppggpgppupppppppp. Give prob of sequence pgg.\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Suppose u - 2 = t*u. Let x be -1 + u - (-7 + 2). Solve -3 = x*k - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 4*n + n + (1 - n - 1)*(4 - 2 + 0) + n - 2 + 2)*(-17 + 4 + 8).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -193*o**2*p*s**2 + 3838*o**2*p*s + 561186*o**2*s**2 - 2*o**2*s wrt p.\nAnswer: -193*o**2*s**2 + 3838*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**6*c*((c\/(c\/c**(-1))*c)\/c)\/c)**(-4\/21)\/((c*(c\/((c*c**(2\/9))\/c))\/c)\/c**(-4\/3)*(c**1)**(-8)) assuming c is positive.\nAnswer: c**(443\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i**4)*(3*i + 4*i - i) + (-2*i**5 - 2*i**5 + 2*i**5)*(2 - 3 - 1) + 2 - 2 - 3*i**5 + 2*i**5 + 0*i**3 + 0*i**3.\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a - 3. Let h be x(3). Suppose 8 = h*l + l. Suppose -5*r - 14500025 = 5*o, -r + l*o = o + 2899995. What is r rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8.2. Let h be 145\/(-7) + 8\/(-28). Let d = h + 25. Which is the smallest value? (a) d (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177*(5\/3)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1810.3 - -1810.314597. Round n to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (47 - -11) + (1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*l**2 + 49*l**2 + 27*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let t(x) = x**2 + x - 57. Let g be t(7). Let k(v) = 1. Let o(f) = g*r(f) - k(f). What is o(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, x: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 26. Let k(c) = 17*c + 65. Let b(s) = -2*k(s) - 5*w(s). Let m(n) be the third derivative of -n**5\/10 + 2*n**2. Give m(b(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 145. What is the remainder when 339 is divided by u(38)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 37760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.4 (c) -9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 341*p - 667. Let r be d(2). Solve r*m - 9 = 12*m, 5*n - 5*m + 35 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-24))\/(6\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-668)\/18)\/((-392)\/24). Let z = j + 3\/49. Find the common denominator of z and 82\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*k - 6, -5*a - 2*k = 10 - 31. Suppose x + 34 = 4*l, 0*l + 5*l - 50 = 5*x. Calculate the remainder when l is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2315 + 2313. Let s(r) = 5. Let d(i) = i + 1 + 1 + 8. Let w(y) = z*d(y) + 5*s(y). Let h(u) = -u + 2. What is -5*h(t) + 2*w(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (-45 - (-2 + -19 + 0)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) 38\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -787.24 + 769. Let y = -2.34 - -3.9. Let s = v - y. What is s rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.04582kg?\nAnswer: 7045820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5008947 is divided by 3847?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g - 21. Let s(w) = 1. Let o(h) = -n(h) - 4*s(h). What is the lowest common multiple of o(4) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 161 - -2?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 + 0*y - 7*y**2 - 5*y - y to the form t*y + h*y**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 3*q = -38*h - 26, h = 4*q + 32. Solve -10*w = -18*w + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**5*m**(-2))**(1\/4))**1)**(1\/8) assuming m is positive.\nAnswer: m**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -990 + 989.9904985. Round a to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2741 - 4944. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 6288972*q - 12577928.\nAnswer: -4*(q - 1572241)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 571 - 375. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:57 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1368 and -103\/1824.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose 0 = -10*k + 15*k. Suppose q + 0*q - j = k. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94.4651l?\nAnswer: 94465.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-150 - -168) + 1 + -10 - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbccbbcxxe. What is prob of picking 1 e, 1 c, and 2 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = -4*x + 8, 0 = 5*h + 2*x - 4. Let j be ((2 + h)*4)\/(-2). What are the prime factors of (249\/(-9) - -3)*6\/j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798 and 16606?\nAnswer: 348726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180546, -361172, -541798, -722424, -903050?\nAnswer: -1083676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.16. Let h be ((-17)\/4 - (-17 + 12)) + (-6)\/72. Let c = -5\/2 + 3. Sort u, c, h, 0.1.\nAnswer: u, 0.1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.05 and 0.03324306986?\nAnswer: 1.01675693014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {s: 2, i: 3, u: 4, a: 2, m: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865 = -65*j - 540 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzyyyyyyyzyyyzyy. What is prob of sequence yz?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057)*-3 + (sqrt(2057) - (sqrt(2057) + (sqrt(2057) + sqrt(2057) + 3 - sqrt(2057)) + -4)))*-6.\nAnswer: -6 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 900*y - 79277. Calculate w(87).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.39612253 to three dps.\nAnswer: 38.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose j - 3 = f - 0, -i*j - 3*f + 11 = 0. Let h be 2\/8 - (-15)\/j. Solve -h*d + 1 = -7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**4 - u**3 - u. Let l(i) = -3*i**5 + 3*i**3 + 6*i. Let b(n) = -6*h(n) - l(n). Factor b(x).\nAnswer: 3*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**3\/5 + 502*u**2\/5 + 1092*u.\nAnswer: 2*u*(u + 14)*(4*u + 195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4)*x*x**6)\/(x**(-2\/5)\/x)**(-2\/11))**43 assuming x is positive.\nAnswer: x**(8858\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 4*a**2 + 3*a + 18. What is the hundreds digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 4. Let p be f(-6). Let r be ((-9)\/(-6))\/((-3)\/(-4)). Suppose 0 = -s + u - 4, -3*s - 4 = -p*s + r*u. Put -1, s, 5 in descending order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 108\/5. Let r = 0.3 + -0.8. Let u = -21 - -22. What is the nearest to d in r, -2\/9, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 49 = -229. Which is greater: i or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -1)**2*5*3 - (sqrt(114)\/(sqrt(2)*-2))\/(sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192) + (sqrt(192) - -1*sqrt(192))))).\nAnswer: -21119*sqrt(19)\/64 + 34500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neaennnnnnnanennanin. Give prob of picking 1 e, 1 i, and 1 n.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 284, 1\/9, 144\/5, -0.4, 95, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-36)*2\/168. Let t(x) be the third derivative of 0*x**3 + 0*x**4 + 0 + 0*x + x**2 + z*x**8 + 1\/315*x**7 + 1\/270*x**5 + 1\/180*x**6. Factor t(h).\nAnswer: 2*h**2*(h + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51934.\nAnswer: 2, 23, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -434325 (base 8) to base 13\nAnswer: -51388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*m + 2*p, 4*p + 3 = m + 1. Calculate the smallest common multiple of m and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 954 + 293?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -17, -62, -145, -278, -473, -742?\n\"Answer: -2*n**3 - n**2 - 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 + 18*u - 20. Let z be q(7). Calculate the greatest common divisor of 184 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071200293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -820*c + 3494. Determine v(4).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 8*d**2 + 4*d - 13. Calculate x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000392613 to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4823, 8654, 12485, 16316, 20147?\nAnswer: 23978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 9. Let a(k) = k - 4. Let n(f) = -5*a(f) - 2*v(f). Let b be n(2). Suppose i = 3*d - 184, d - b*d + 3*i = -192. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 753914 and 8478?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8 + 5*v**3 + 2*v**2 + 10 - 3*v**3 - v. Determine w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -63.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + o**3 - 1 + (-2*o**3 + 2*o**3 - 3*o**3)*(-1 - 1 + 1) to the form t + m*o + h*o**3 + a*o**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8)*-7 + 1. Let f = -69 - -67. Let r = -35 + 36. Put r, h, f in decreasing order.\nAnswer: r, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154864087?\nAnswer: 7, 1109, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*j - 86*j - 228*j - 7000 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 382*n - 3*n**2 - 90 - 382*n to i*n**2 + c*n + k and give k.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 43881924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -241. List the prime factors of 2067\/7 - (l\/7)\/(-3).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*z + 24 = -z, 2*u + 3*z + 17 = 0. Let q(j) = -38*j**3 + j. Let w be q(u). Let m be 130*(27*w - -1). What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000984 to six dps.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651544479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1509772 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -51*y + 52*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-1 + 2 - 2). What is the units digit of (m + -3 + 2)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 26. Suppose -9*h = -y*h. Let g(f) be the second derivative of -f**5\/20 - f**3\/6 - 5*f**2\/2 - f. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**3 + 5*h**2 + 9. Let y(o) = -3*o**3 + 2*o**2 + 4. Let d(t) = -t**2 + 16*t - 3. Let b be d(11). Let k = 56 - b. Give k*x(q) - 9*y(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 26.3. Let n = -1447\/17 - -85. Which is the nearest to 1? (a) o (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 24*q + 4229. Determine a(-179).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1936, 1935, 1934, 1933, 1932, 1931?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10650634 + 4?\nAnswer: 10650640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 170*q - 2245 = -165*q, -2*q + 730 = -2*m. What is the smallest value in 0.2, 3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2, -85220 in decreasing order.\nAnswer: 26, -2, -85220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236028\/253 bigger than 16743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/33346 - -25011\/16673. Solve 24 - j*q**4 + 0*q**2 + 15\/2*q**3 - 30*q = 0 for q.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -333360 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*o - f, -o - 3*f + 4861 = 4871 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/7, 2\/7, 21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7154472)\/(-36))\/23 - (-2)\/3*-1 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (-9 - -11) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -13 + 43 + 24 + 0 + -78?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 126?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - (-2 - 10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.988 - -0.012. Let j = -28.041 + n. What is j rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 11. Let o be w(13). Suppose 2*c + o = 5*c. Suppose 48 = c*y - 102. Calculate the highest common divisor of y and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - a + 5 = 0, 3*y - a + 7 = -1. Let t be (0 - -8*1) + y. Let l be (6*(-2)\/(-8))\/((-4)\/(-8)). Is l < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:48 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 < -228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 12*n + 8. Suppose 0 = -25*k + 24*k - 3. Let v be f(k). Let o be 1 + (-3 - 48\/v). Which is the nearest to o? (a) 5\/3 (b) 1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4183, -7, -26 in ascending order.\nAnswer: -26, -7, 4, 4183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 7*s - j + 23, -26*j + 62 = -14*s - 29*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157291034153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -45, -103, -201, -351, -565?\n\"Answer: -2*n**3 - 2*n**2 - 10*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = v - 26, -g + 0*g + 2*v = 10. Let f be (56\/g)\/(2\/(-12)). Let b(i) = -11*i + 3. Let z be b(-1). Calculate the greatest common factor of z and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 284 (b) -2\/33 (c) -2 (d) 1 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3063293673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.1 - 10.1. What is the nearest to r in -0.1, 2\/5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19314 = -152*t + 19832 + 175630. Calculate the least common multiple of 63 and t.\nAnswer: 9891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 1864604*n - 434593509602.\nAnswer: -2*(n + 466151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342908 by 236.\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781.1 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78875980.47 rounded to the nearest one thousand?\nAnswer: 78876000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. Let q(a) = -a - 5. Let l be q(-9). Suppose 4 = 2*x - 2*t, -l*t - 11 = -2*x + 3. What is the nearest to i in 4, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-330) + 4\/(-30)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 + 476 = -16*w + 72*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21505 is divided by 439.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**2 - k**3 + 17*k**2 - 6*k**3 - 4*k**2.\nAnswer: -7*k**3 + 39*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - 3) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**2. Let t(c) = 1008697*c**2. Give v(t(o)).\nAnswer: 9157226740281*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7880695 micrometers?\nAnswer: 0.0000007880695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*h - 30, -59*h = 112 + 31 + 93 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z - 57 = 3*p, 5*z - 31 = 2*p. Let c = p - -19. Sort c, -5, -3 in descending order.\nAnswer: -3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 88 - 257 + 88 + 11*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -330.961 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/60 - 5*z**4\/24 + 2*z**3\/3 + 88*z**2 + 3*z + 9. Let h(g) be the first derivative of p(g). What is h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:03 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t + 73 + 253*t**3 - 372 + 3*t**2 + 2*t**2 - 182 wrt t.\nAnswer: 1518*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/110457 and -43\/51?\nAnswer: 1877769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g - 5. Let d = -92 - -98. Calculate the remainder when (-2835)\/(-84) + d\/(-8) is divided by j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*m + 9334460, -5*m + 32*t + 11668075 = 30*t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/(1\/(-3)). Suppose -x*t - 4*a + 2*a - 26 = 0, t + 2 = -5*a. Which is smaller: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 250766400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13494 by 1038.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20*s - 1 = 21*s, -3*k = -2*s + 8. Sort 4, 0, -18, k in descending order.\nAnswer: 4, 0, k, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 804078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206089 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 12. Let y be h(-8). List the prime factors of y\/2*49\/(-14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*v + 124*v - 62*v + 35 = 5*y, 2*v - 5*y = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b + 73. Let n be 240\/(-21) - 60\/(-140). Calculate g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 43*a + 199. Let m be r(-5). Solve 15*t - 34 = -m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -119, -102, -79?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 2, r: 3, z: 9}. What is prob of picking 1 r, 2 z, and 1 i?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53887 + 209 = 966*t for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 12*c**2 + 5*c - 63. Let n be t(-11). Solve -5*b - 2 = 5*m + n, -12 = 4*m - 4*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose -5*c = 5*z - 10, -y = -3*z - 2*c - 0. Suppose 32 = 4*i - z. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 10. Suppose -45 - d = -3*y. Let u = y + -18. Solve 2*b + 6 = u*w, 3*b - 5*w = -b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 8*p**2 + 7*p + 6. Let y(o) = 2*o - 4. Let b = 1 + 6. Calculate the remainder when y(b) is divided by r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.026 + 0.026. Let y = -24.8 - j. Let o = 2.2 + y. What is the third biggest value in o, 0.1, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g + 49 = 26*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2523 divided by 3?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -15. Factor -u**2 + 2 - 2 + n*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 67, 155, 311, 553, 899, 1367, 1975?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.225 - -0.075. Suppose 23*g = 25*g - 12. What is the fourth smallest value in 1\/2, g, j, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**3\/3 + 5*w + 2. Let m be o(0). Suppose -5*j + 54 = -2*f, -3*j + m*f + 35 = -5. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2878*u + 5079. Let t(l) = 11502*l + 20316. Let a(c) = 2*t(c) - 9*v(c). What is the derivative of a(g) wrt g?\nAnswer: -2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/156 and -91\/22.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -1 in decreasing order.\nAnswer: 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -784*b**2 - 1536*b + 1. Determine m(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 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: Four letters picked without replacement from {q: 2, p: 6, x: 11}. Give prob of sequence pxpq.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k**2 + 5*k**2 + 5*k**3)*(9 - 10 - 2 - 29*k - 5*k + 2*k + 0*k + (3*k - 3*k - 2*k)*(5 - 3 + 0)) as n*k**4 + m*k + i*k**3 + z + h*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 27*s - 9800 = -16*s. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75899571.\nAnswer: 3, 11, 809, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 216*w**2 + 1066*w - 2339. Give q(211).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/27074557 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v + 7. Let a = 11 - 0. Let d(y) = 13*y + 10. Let g(m) = 12*m + 9. Let r(f) = -5*d(f) + 6*g(f). Give a*r(x) - 6*b(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 24. Suppose l*k = 2*k + 3. Sort k, 0, 8, 5 in descending order.\nAnswer: 8, 5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17080, -17084, -17098, -17128, -17180, -17260, -17374?\n\"Answer: -x**3 + x**2 - 17080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n - 79*n = 58 + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.4 (b) 3 (c) 3.9 (d) 161 (e) -2 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6938 times -147.6\nAnswer: 1024048.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2166*h**2 - 1023*h**2 - 1147*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 3)*-1)**2.\nAnswer: 24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let l(x) = -x**2 + 8*x - 8. Let r be l(6). Let n(u) = u**2 - 4*u + 3. Let p be n(r). Which is the closest to y? (a) p (b) -2\/7 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 7 = -30*a - 2*n, -3*a + 2*n = -13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2069, 2075, 2081, 2087, 2093?\n\"Answer: 6*l + 2063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**2*u**3 + 6*o**2 + 13926*o*u**3 - 48*u**3 + 294*u**2 + 10*u - 2 wrt o?\nAnswer: 10*o*u**3 + 12*o + 13926*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 - 12*q**2 + 8*q**2 + 2*q + 6*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-180)\/192)*3\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2697*f**2*p*u**6 - 2*f**2*p*u**2 - 23318*f*p**3*u + 2*p**3*u**3 - 2*p**2 wrt u?\nAnswer: 323640*f**2*p*u**3 + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (0 + 0)) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213158 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243011 is divided by 401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85333765 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 25725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204468 + 83357. Let j = -198889 + f. Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 197.44, -25, 0 in decreasing order.\nAnswer: 197.44, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1432240 + 4?\nAnswer: 1432244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -12*m**2 + 4*m + 2. Let z(h) = -h**2. Let j(p) = -2*k(p) + 28*z(p). Factor j(r).\nAnswer: -4*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 37 = -9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103565 and 99?\nAnswer: 932085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(6\/18). Let l(v) = 58*v**2 - 1. What is the remainder when l(f) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-260)\/132)*(-2)\/((-64)\/(-72))\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5348.56 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 + 850*r**3 + 17145*r**2 - 369360*r - 8648640 = 0. What is r?\nAnswer: -143, -24, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, -79, -206?\n\"Answer: -127*o + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778 is divided by 1599.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -789*h - 5871. Is 26 a factor of u(-74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.003 plus -0.12561756?\nAnswer: -50.12861756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 609, 611, 613, 615?\n\"Answer: 2*d + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7*a**2 + 7*a + 4. Let q be n(-8). Suppose -3*m + q = -3*k, 4*m + 2 - 18 = -k. Solve 3*l + m = -4*b + 12, -10 = -5*l - 5*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q - 2, -5*q + 13 = -d. Let y = 6 + d. Which is bigger: y or -15\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74563 + -74565. Let g = 53\/210 + -3\/35. Let p = 0.1 + 0.1. Which is the fourth smallest value? (a) p (b) g (c) -2\/5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3496312114 to the nearest integer?\nAnswer: 59130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 29 + -9 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v + 6*v - 3*v**3 + v**3 - 1 + 1 + (2*v - 2 + 2)*(v**2 + v**2 + 0*v**2) - 2*v + 2*v**3 + 2*v - 2*v**3 - v + v - 1 - 10*v**3 - v**3 - 12*v**3.\nAnswer: -21*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164560642*v**2 - 212*v + 163766 wrt v?\nAnswer: -329121284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + m**4 - 4*m**4)*(-14 - 3 + 4).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 214*v**2. Let k(a) = 548*a**2. Determine i(k(j)).\nAnswer: 64265056*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432.9525 + 258.9454. Let s = -399 + 573. Let l = s + r. Round l to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*r - 134*r - 50*r**2 + 68*r to y + o*r + a*r**2 and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*g - 3*g - 51 = 0, h + 3*g = -1. Calculate the remainder when h is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuueeu.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 45\/12 + (-3)\/4. List the prime factors of -1 + (h\/3 - (-1 + -863)).\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 102876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012\/230*21370\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 2717?\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-110)\/8 + 1435\/(-574)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4))\/(5\/10). Let v(g) = -2*g**3 - g**2 - 4*g**2 + 10*g**2 + 2 - 1 + 3*g**3 - g. What is v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*1*2)**2*-6 + -6*(-3*sqrt(475))**2*-4)*-6.\nAnswer: -547200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {b: 5, p: 5, a: 5, z: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + -10 + 71 + -60?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 3*u - 5. Let a(x) = x - 5. Let l(y) = y**3 - 2*y**2 - 8*y + 9. Let c be l(4). Let k be a(c). Is o(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, 4, 5, -5 in increasing order.\nAnswer: -5, 2, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 1. Let l(o) be the second derivative of 2\/3*o**3 + 3\/2*o**2 + 0 + o. Determine 2*l(x) - 5*u(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34344 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627 divided by -57.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8 - 3*v**3 - v**3 - v + 4 + 6. Let z(t) = -t**3 + t - 1. Let j be 5\/((-40)\/(-32)*4). Calculate j*z(p) + x(p).\nAnswer: -5*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - -47.36. Let h = 47.64 - n. Let k = h + -0.6371. Round k to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/15 - g**5\/30 + g**4\/12 - g**3\/6 - 3*g**2. Let p be t(1). Let q = p + 184. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 6 - 39 + 46 - 1.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-1 + 4))\/1. Let h(n) = -2*n**3 + 2*n + 1. What is the units digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from snvnvvssss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12058 is divided by 678.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 + 36*f - 72 = 0?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfhf when four letters picked without replacement from wxxhfxfxx.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 213 + 1103. Let p = l + -216. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 + 7*g + 3. Let j be p(7). Let h = j - -1. What is b in -6*b**3 - b**5 + b**2 + 0*b**2 + 4*b**h + 3*b**2 - b = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/630775 and -13\/1135395.\nAnswer: 5676975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-400)\/68)\/(-5))\/(90\/315 - (-80)\/(-476)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 3. Suppose -4*q + 11 + 7 = 2*s, -2*s - 3 = q. Let x be (0 + -4 + 5\/(-10))*-2. Let v = x - q. Give p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -764 in ascending order.\nAnswer: -764, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5429\/30 + 181. Let d(h) be the third derivative of 1\/120*h**6 + 2*h**2 + 0*h**4 - 1\/3*h**3 - m*h**5 + 0*h + 0. Give d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48121710*d - 3*s = -48121707*d + 2*s - 11, 10*d - 27 = -7*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/13 - 175490\/65. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(12\/180)*(-2546)\/(-335)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-9\/5)*n)\/(n*(n*n\/n**(-6\/11))\/n) assuming n is positive.\nAnswer: n**(-129\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*r - 134*r - 126*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 130 = -3*l. Calculate the highest common divisor of l and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 6. Calculate m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = 58 - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 193 = -3*r, 6*r - 4*y - 91 = 5*r. Let x = -67 + r. Solve 2 = -h + x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 544*z**2 + 31*z**3 - 1089*z**2 - 7*z**3 + 543*z**2.\nAnswer: 24*z**3 - 2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 615636 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 260516.\nAnswer: 2865676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 38*h**2 - 38*h - 34. Let o be d(-37). Solve -5*c - 28 = 4*f, -3*f - 5 = -c - o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23000 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/1120*4\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1\/7 (c) -4\/303 (d) -6 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143\/63 + 23\/9. Let z = -190650 + 190649.8. Which is the closest to z? (a) g (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 48 = 2*v. Let n = 1 - v. Suppose -2*l + n = 3. What is the remainder when 18 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 27.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*n + 277*n - 373*n + 1094*n to j + t*n and give t.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -469*t - 144*t + 613. Let v(x) = -19*x**2 - 1 - 5*x**2 + 0. Determine v(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 21. Calculate q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*u - 110595 - 75827. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n + 2*r = 256*n - 88*n - 80*n + 5, 5*n = 35*r - 335 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzzzzzzzqqzz. What is prob of picking 2 z and 1 q?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 471.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 1792573864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 34368326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4910.\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let w(z) = z**2 + 3*z. Let m(x) = 2*c(x) + w(x). Let q(j) = -2228*j + 2222*j - 11*j**2 + 2*j**2. Determine -6*m(s) - q(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 3, 5 in decreasing order.\nAnswer: 5, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4719786 divided by -6.\nAnswer: -786631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/14 and (-13)\/((-3120)\/(-50))*4\/(-10).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 382971787 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*y - 6020 + 1551, z + 4*y - 887 = 0. Is z smaller than 898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1400) + sqrt(14))\/(sqrt(6)\/(sqrt(3)*2)) + ((-1*sqrt(56)*-1)\/(sqrt(54)\/sqrt(3)))**2.\nAnswer: -58*sqrt(7) + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 68*j**2 - 724*j - 2666. Let g(u) = 6*u**3 + 205*u**2 + 2171*u + 8000. Let f(i) = -7*d(i) - 2*g(i). Factor f(y).\nAnswer: 2*(y + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/225293760 and 109\/1644?\nAnswer: 225293760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -l + 40, i + 68 = 4*l - 2*i. Let j = -16 - -30. What is the smallest common multiple of j and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 628 = -5*r, 4*r - 450 = 3*t + 41. Let q = -12566 - -12641. What is the greatest common divisor of q and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + ((sqrt(192) - 2*1*sqrt(192)) + sqrt(192))**2 - ((sqrt(192) + 3)**2 + -2))*-3.\nAnswer: 120*sqrt(3) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22995 - 3*h - 22995.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24386 and 135082?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3705 + -3634. Let s(b) = -2*b - 3. Calculate the remainder when z is divided by s(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 1484678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139893642 to the nearest integer?\nAnswer: 11828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) - -6*(sqrt(66) + sqrt(66) + sqrt(66)*-1)))\/sqrt(6).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4553 in 2, 1\/29, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 + 11*d - 15. Let m(p) = 7387 + 0*p**3 - 7383 - 3*p - 2*p**3. What is 22*m(c) + 6*x(c)?\nAnswer: 4*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -1544, -3566, -6398, -10040, -14492?\nAnswer: -19754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**29\/x**8)**(4\/9) assuming x is positive.\nAnswer: x**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -84. Let a = 26.96 + j. Let o = 0.08 - -2.92. Do a and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -343, -1106, -2591, -5038, -8687?\nAnswer: -13778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1275171*y**2. Let b(i) = -33*i. Calculate d(b(q)).\nAnswer: 1388661219*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 92*r**3 - 3*r**2 - r - 1. Let q(n) = 11*n**3 - n**2 - 1. What is 6*q(k) - t(k)?\nAnswer: -26*k**3 - 3*k**2 + k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102904, 99827, 96750, 93673, 90596?\nAnswer: 87519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-476)\/2 + (6\/2 - 3). Let u = y - -243. Let d = 0.14 - 0.04. What is the nearest to 1 in 2, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17511 + -478?\nAnswer: -17989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwffwffrwrrwoff. What is prob of picking 1 o and 1 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfffffpfffff. What is prob of sequence fff?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -51*k**2. Let o(b) be the second derivative of 7*b**4\/12 - 273*b. What is o(q(r))?\nAnswer: 18207*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*x - 21 = -6*m, -2*x + 18 = 4*m. Let n be (m*12\/8)\/1. Suppose r - 4 = -n*r. Solve v + r = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 6*y - 6. Let j be l(4). Let i be ((-26)\/4)\/((-6)\/12). Solve j*v = i - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*1 - (-11)\/(-22)*-8. Suppose -106*l - d = -108*l. Solve 0 = l*u - 9*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*z + 9 = 28, -35 = 3*s + 2*z. Let l(j) = 2*j**2 + 13*j + 4. Is l(s) 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 203, 84, -115, -394?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Let c(t) = -10*t**2 + 2*t. Let l(n) = 9*n**2 - 2*n. Let x(r) = 6*c(r) + 7*l(r). List the prime factors of x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:01 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w + 20. Let q(o) = 121*o + 88. Let g(c) = -5*q(c) + 22*t(c). Let u(f) = -f**2. Calculate u(g(b)).\nAnswer: -121*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-17))\/(107*(-224)\/(-7741664))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1265.6055 - -1266. Let q = 174.2945 - l. Round q to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/13 - 28*i**3\/13 - 146*i**2\/13 - 336*i\/13 - 288\/13 = 0?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/16 and (-12)\/54 + (-187)\/36.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 275, 271, 267, 263, 259?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*(-60)\/(-4). Suppose -2*o - 3*o + l = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.06, -24?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6769 and 123776?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/68 and -21\/13012.\nAnswer: 221204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 42 = l - 23, -2*b + 262 = 4*l. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -4*t**7\/105 - t**4\/24 - 9*t**2. What is the second derivative of p(k) wrt k?\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - l**2 - 3*l**2)*(-9 + 14 - 6)*(3*l + 4*l + 0*l) + (713*l - 713*l + 6*l**2)*(-6*l - l + 5*l) as s*l**3 + t + i*l + z*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -46\/3, 0, -7, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1142, 2314, 3484, 4652?\n\"Answer: -q**2 + 1175*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t - 3. Let f(m) = 11*m + 7. Let g(b) = -92*b + 189. Let x be g(2). Give x*j(a) + 3*f(a).\nAnswer: 3*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/15 and 32\/1574097.\nAnswer: 7870485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/20 + (-1)\/(-4). Suppose 41 = l*w - 3. Calculate the remainder when 21 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 87, 3\/4, 24?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2. Let p(v) = 32299*v. Calculate p(m(n)).\nAnswer: 64598*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtal when four letters picked without replacement from tgppaaptaglpgppt.\nAnswer: 9\/14560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 15*u**2 - 11*u + 33. Let q be w(14). Let t = 133 - q. Let k be ((-6)\/1)\/((-4)\/58). Calculate the highest common factor of t and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -217, -229, -209, -145, -25, 163?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*z + 113. Let a = 37 - z. Solve 2*u + 4 = 4*h, -h + 4*h - a = 4*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001746366 rounded to 6 decimal places?\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from srssrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11690 not equal to 11691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 141*o**2. Let v(r) = -r**2. What is v(x(y))?\nAnswer: -19881*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35828\/(-15900) - 2\/25.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (312*a - 140*a - 100*a + 3)*(-1 - 26*a**3 + 25*a**3 + 24*a**3).\nAnswer: 1656*a**4 + 69*a**3 - 72*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-80)\/15)\/(-4)*6. Solve 15 = 2*x + 5*u + 2, 0 = -x - 3*u + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.042 - 1.062. Let x = 0.02 + z. Let u = -1\/3 - -5\/6. What is the third biggest value in u, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 35*l = 39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 2568912?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/9)\/((-28)\/6)*-2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (56\/35)\/((-117)\/(-15))*(-576)\/384\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 2*c - 8, 0 = -2*v + 2*c - 6. Let l = -41 + 74. Suppose -v*d - d = -l. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17951695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 2061 = 521*f + 6600 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1072*f**4 - 1371*f**2?\nAnswer: 25728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -2. Let d = -2.7 - n. Which is the closest to d? (a) -3\/7 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -56. Suppose 0 + 21 = 14*a - 21. Calculate the least common multiple of a and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7504)\/24 + -4)*4104. Round r to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 16) in base 10?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -376000 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 22 + 13 = 0. What is the greatest common factor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166121511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/2*(-6)\/(-9). Let s(r) = r - 1 + 3*r**2 - m*r**2 - 6*r**3. Let a be (-390)\/(-420) - 3\/(-42). Calculate s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170412 (base 9) to base 10\nAnswer: -105311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)*21\/7. Let y = h - -2. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -2\/17 (b) -0.3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*j**2 + 287*j**2 + 280*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from luuluhuhuhhhulblhl?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -276, -274, -272?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -1\/4*l**5 + 1\/2*l**2 - l + 1\/6*l**4 + 0 + 1\/3*l**3. Is 3 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1813 by -7250.\nAnswer: 1813\/7250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -50ccb?\nAnswer: -51003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 90. Let t(l) = 4*l. What is t(r(i))?\nAnswer: 12*i - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/80741 and -131\/11046?\nAnswer: 3391122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737 is divided by 314.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55508203 = -0*t + t. Let c = t - -37408203. Round c to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44064 + 44004 = -30*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {s: 1, l: 1, z: 2, o: 1, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from aaalaaammalaa.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m**3 + 0*m + 99*m**2 - 1\/2*m**4 - 101\/60*m**5 + 0. What is the second derivative of z(f) wrt f?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*v**4 - 1081*v**2 + 1081*v**2 + (2*v + 0*v + 0*v)*(2*v**2 - 2*v**2 - 3*v**3) to h*v**4 + p + z*v + n*v**2 + b*v**3 and give h.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, q: 1}. Give prob of sequence bqb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2133773 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.077 - -2.237. Let h = -84 - z. Round h to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8417374 is divided by 113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 - 12 = 6*o, 43 = -4*d + 5*o. Let a(c) = -c**2 - 11*c - 5. Give a(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479 + 481. Let n(q) = q**2 + q - 1. Let m be n(2). Suppose -3*y + 5 = 5*j + 2*y, m*j + 4*y - 6 = 0. Solve -x*i - 2*p = 10, 4*p = -j - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4197, -4185, -4165, -4137, -4101, -4057, -4005?\n\"Answer: 4*b**2 - 4201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/35)\/((-11)\/(3740\/24))*6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 8:51 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - b**2)*(-618 + 390 - 656).\nAnswer: 884*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**3\/3 + 3*w**2 - 3*w + 29. Let t be d(-7). Suppose 4*m = t*n + 744, -m - 2*n = 36 - 225. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13384 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10*(-6)\/(-8))\/((-3)\/(-120)). What is the highest common factor of u and 1600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 77*o = 76*o - 6, 0 = f - 5*o + 2. What is the greatest common divisor of 28 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 2*d**4 + 5*d**4 + 3 - 2*d**4 - 3 + 3 - 3 - d**4 + (d**2 + 0*d**2 + d**2)*(-2*d**2 + d**2 - d**2) + 0*d**4 - 5*d**4 + 3*d**4 - 2*d**4 + 0 + 0.\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-447*i + 261*i - 794*i - 54*i)*(-5 + 3*i**2 + 5) to f*i**2 + x + d*i**3 + h*i and give d.\nAnswer: -3102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 33*i. Let d(w) = -11*w**3 + 78*w**2 + 86*w + 10. What is the remainder when l(1) is divided by d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 + 205. Let p be (4\/(-5))\/(15\/r) + -4. What is the highest common divisor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/((-3)\/(-18)). Suppose -4*o = a - 9, -6*o + 2*o - 4*a = 0. Calculate the highest common factor of o and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 7:21 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g*g\/((g\/(g*g**(-27)*g))\/g))\/g)*g*g**(-11\/4)*g assuming g is positive.\nAnswer: g**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 16252\/(-476)) + 4\/(-14) - -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-1 + x + 1)*(x - x + 2*x) + 0*x**2 + 2*x**2 + 5*x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -130, -143, -174, -229, -314, -435, -598?\n\"Answer: -c**3 - 3*c**2 + 3*c - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -103.2. Let y = c + -10.63. Let g = y - 0.42. What is g rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 2583 + 2550 = 2*n - 6*n + 5103, -2*n + 10 = -4*n + 2*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((sqrt(28)\/sqrt(4) + 2 + sqrt(7))**2 + sqrt(56)\/(2*sqrt(8) + sqrt(8))).\nAnswer: 100*sqrt(7)\/3 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3441, -3356, -3277, -3210, -3161, -3136?\n\"Answer: -y**3 + 3*y**2 + 83*y - 3526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -4*a + b, 0 = 4*a + 5*b + 18. Let z = a + 5. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 - 7*q**4 - 34*q**3 + 40*q**2 = 0.\nAnswer: -4, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxr when three letters picked without replacement from rxrxxxrx?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833)*-1 + -1))**2*-1 - (-5 + -4 + (1 + sqrt(833) + sqrt(833))**2).\nAnswer: -6657 - 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1497*j - 408681. Determine b(-273).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 8*r + 15. Let u be i(-12). Suppose -2*z + 37 = 3*v, -5*v - 67 = -5*z + u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 208. Suppose z = 3*c - c. Let a be 14\/(-63) - (-76)\/18. Solve -d = -4*d + 2*u - 2, -2*u - c = a*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333375 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 935173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(171).\nAnswer: 5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4\/5, 132, 5 in decreasing order.\nAnswer: 132, 9, 5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4927599 to the nearest integer?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6) + 1)*-3. Let c = 1 - a. Suppose -16 = -2*y - 2*y. Solve -s = y*v + 4 + c, v = 5*s + 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -58. Let n be 11694\/(-7) - c\/56. What is n rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*u**2 - 40*u + 0*u**3 + 3 - 83 - 5*u**3.\nAnswer: -5*(u - 4)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 908708 divided by -227177\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3384, -13559, -30518, -54261, -84788, -122099?\n\"Answer: -3392*z**2 + z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y - 5. Let h be m(-6). Is (-2 + h)*-1 - -292 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 2\/9 (c) -0.5 (d) -1\/4 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25723, 25724, 25725, 25726?\n\"Answer: a + 25722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0*f**4 + 2*f + 0 + 0*f**5 - 2\/15*f**6 + 0*f**3 + 2*f**2. Differentiate l(g) wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 7.4. Let o = r + 6.99. Let k = -1.1 - -1. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3533?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {t: 1, a: 2, g: 1, y: 4, d: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:22 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 468*k - 2546 - 730 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21228493, -42456984, -63685475, -84913966, -106142457?\nAnswer: -127370948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -64648 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**3 - 5*c**2 - c - 3. Let w = -1 + -4. Let v be 129\/45 + 6\/45. Let m(f) = -f**2 + 4*f**2 - 3*f + 2 + 4*f - 5*f**v. Determine w*m(i) - 3*h(i).\nAnswer: -2*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104*p + 48*p - 65*p)*((-4 + 4 + 1)*(0 + 1 - 3) + 0 + 1 - 2) to d + a*p and give a.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 16. Let s be (-18)\/30 + -2*(-76)\/20. Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*s + 157 = z, 0 = -3*z - s + 158. Suppose t - z = -3*j, -2*j + j - 4*t = -25. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = 11*k - 580. Suppose -59*u = -u - k. What is the least common multiple of 44 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 199.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -6 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:48 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65261 is divided by 21708.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.03 (b) -30\/13 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902 is divided by 154?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3784 is divided by 224.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 778314*j**3 - 50498176887*j**2 - 2220789798876*j - 24424544746668.\nAnswer: -3*(j + 22)**2*(j + 129697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5556 by -59.\nAnswer: -5556\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - -285?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 9. Let g = -47\/33 + 12\/11. Let w = 18 - 17. What is the nearest to g in t, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.27024407 + -4.95024254. Let g = h - -3.68. What is g rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*o = -136*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24 - 23 - 37*2\/26 and 111\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d + 425 - 140 + 351 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/18 + 598*h**3\/27 + 589*h**2\/3 + 586*h + 748. Factor f(i).\nAnswer: 2*(i + 3)**2*(i + 293)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4202\/16741?\nAnswer: -4202\/16741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 40628\/41272 - 34\/1139?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 629538167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4 - 735280*z**3 + 27032569190*z**2 - 54062932560*z + 27031098645 = 0.\nAnswer: 1, 73527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:32 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m + 2*t - 90, -5*t = 4*m - 89. List the prime factors of 4\/m - (-78)\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284480 and 21868000.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 5}. What is prob of sequence vr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 2*o - 33, -p = -o - 9. Let l = -0.52 - 0.08. Let u = -0.3 - l. Which is the third biggest value? (a) -0.4 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-15)*(-372)\/496*(-8)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 373*r**2 - 521*r + 11. What are the prime factors of p(6)?\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**2\/2 + 5*b - 48. Let f(c) = 4*c**2. Determine a(f(g)).\nAnswer: 4*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183698 is divided by 1141?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2435, -5, 3 in descending order.\nAnswer: 3, -5, -2435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 79.13033 millennia?\nAnswer: 949563.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -91*g**2. Let q(l) = -6*l**2 + 43893*l - 43893*l. Determine q(z(n)).\nAnswer: -49686*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 120121, 119988, 119855, 119722?\n\"Answer: -133*c + 120254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-84)*4)\/(120\/(-90)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(12 + 9*p - 12) + 3*p + 0*p + 0*p)*(-16 - 2 - 9).\nAnswer: 405*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 47*s**3 - 81*s**2 - 180*s - 14. Let v(x) = -16*x**3 + 28*x**2 + 60*x + 4. Let d(b) = -2*i(b) - 7*v(b). Factor d(t).\nAnswer: 2*t*(t - 3)*(9*t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4778 (base 10) to base 7\nAnswer: 16634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173\/6 - 29. What is the third smallest value in -2\/15, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 + 349. Suppose -198 = -3*j + r. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17151379429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 - 254. Which is bigger: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 198. Let s be p(20). Suppose 31*r - 194 = s. Solve 6*h - r = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -518*u + 4689. Calculate the remainder when 4183 is divided by c(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(170) + sqrt(170)*2)\/sqrt(10) + sqrt(17) - sqrt(17)) + -1*sqrt(272) - -5*(sqrt(1088) + 4*sqrt(1088)))**2*-1.\nAnswer: -673213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**3 - 101*t**2 - 36*t + 68 = 0.\nAnswer: -1, 2\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 89, 174, 245, 302, 345, 374, 389?\n\"Answer: -7*h**2 + 106*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/5, 0.13, 1.7 in decreasing order.\nAnswer: 1.7, 0.13, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -62. Let t = -4668 - -4667.8. Which is the nearest to 2? (a) s (b) -5 (c) -0.5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-9 + -5) - (-4600)\/2325?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**3 - 988*n**2 + 211936*n - 8652080 = 0?\nAnswer: -395, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(121)\/sqrt(396))*-6.\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 235 = 5*d, 11 = -16*d + 27*d for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12)*-3)\/((-1323)\/252).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 14*s - 12. Let c be r(-6). What is the tens digit of (-12)\/c - 568\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryu when three letters picked without replacement from {r: 6, y: 2, u: 9}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -2.6139, -2\/5?\nAnswer: -2.6139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - u + 3. Let g(i) = -i**2 - 2. What is -10*g(c) - 6*p(c)?\nAnswer: -2*c**2 + 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -4 (c) 370 (d) 24 (e) -0.05 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 - 2. Suppose 0 = -0*q - 2*q + 4. What is s(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*x - 8 = -42, 3*x = -z + 18. Let o = -16 - -112. Suppose -o + z = -4*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/98)\/((-4)\/((-56)\/(-3)))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -1\/2, 0.1, -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**5\/10 - x**4\/3 + x**3\/3 + 2*x**2 + 3*x + 1. Let m(s) be the first derivative of b(s). Factor m(y).\nAnswer: -2*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -6771, 4.\nAnswer: -6771, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 35 - 13*b**3 + (2 + 2 - 2)*(b**3 + 2*b**3 - 4*b**3) + 0*b**2 + 0*b**2 - 3*b**3.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*j + 10*j. Suppose -19 + 59 = j*d. Suppose 5*a - 104 = l + 2, 4*l = 16. Calculate the least common multiple of d and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-1 + -4) + 4. Sort 3, -2, y in decreasing order.\nAnswer: y, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a**2 - 4*a - 23*a**2 + 2*a**3 + 2*a in the form r*a**2 + o*a + g + p*a**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + 4)**2 + 5.\nAnswer: 4*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1 - 0\/(-7). Suppose -3*o - 3*g + 6 = 0, -c*g + 4*g + 3 = 5*o. Is 1\/7 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 10. Let j be (1 + -3)\/(6 - w). Which is greater: j or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 75*f**3 + 239*f + f**4 + 60*f - 295*f - f**2 in the form d*f**2 + p + g*f**3 + x*f**4 + s*f and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 - 11028*a\/11 - 11030\/11.\nAnswer: 2*(a - 5515)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*-3 + -1. Suppose 0 = 5*v + 5*i - 20, n = -v - 5*i - 8 + 20. Let t be (-2)\/(-3) - 132\/(-18). What is the highest common factor of v and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12480 + -12475. Let s(w) = -w**3 - 5*w**2 + 6*w + 1. Let j be s(-6). Let x be (1 - 2) + (j - -2). Solve -n + d*z = -1, -x = n - 3*z - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*u**2 - 3 + 7 - 4*u**2 as t*u + x*u**2 + i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:02 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/28 and -127\/26530?\nAnswer: 53060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-7) + 4\/14. Is 4 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4423 + 4421. Which is the closest to 0.1? (a) q (b) -0.1 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 - 5*i - 5. Give u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 2160768.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjljxlsxxsxxxvxsxxj. Give prob of sequence xls.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, j: 3, r: 4, u: 1}. Give prob of picking 4 r.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from vqhjhqvqhr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 648 (base 12) to base 13\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - -29. Suppose 3*w = p + 94, 4*p + b + 33 = 5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/88 + 25\/88. Sort 0.09, c, 2\/81 in descending order.\nAnswer: c, 0.09, 2\/81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 906 = -4*k - 2*v, -4*v - 892 = -4*k. Let l = -222 + k. Let o = -1\/314 - -639\/3454. Which is the closest to l? (a) -0.5 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8830 in 4, -0.7, 2.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512.8849 rounded to the nearest 10?\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -707 - -1104171?\nAnswer: 1103464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83464.31nm to kilometers.\nAnswer: 0.00000008346431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/120 + 337*l**4\/48 + 169*l**3\/6 + 39*l**2 + 12*l - 1. What is p in r(p) = 0?\nAnswer: -1, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 7*d**2 + 1. Let p be w(7). Let z = 135 + p. Is z a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/26)\/((-1)\/4*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 548\/9 + 7\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430873317 a multiple of 2989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*b - 20089 - 5008, -b + 8363 = -2*g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 - 66*i - 90. Determine v(-8).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + 453\/(-9). Let y be (-2)\/(-8) + s\/12. Suppose -4*j + 3*c = -3*j + 11, 0 = -4*j + 2*c - 14. Are y and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 90, 186, 284, 384?\n\"Answer: l**2 + 93*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -310424.\nAnswer: 11\/77606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 680, 1318, 1956?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 19*m - 2. Let d(i) = 42 - i - 42. Determine d(x(o)).\nAnswer: -19*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.998367 months in years?\nAnswer: 1.58319725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1271.7 - 1469.71. Round m to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 10 + 10)*(2*i - 2*i - i) + 2*i**2 - i**2 + 0*i**2 + (-i + i - 2*i)*(i + 4*i - 4*i) + 2*i**2 + 0*i**2 - i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102039 to five decimal places.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c**3 - 3*c**2 + 3*c + 2. Let p(i) = 5*i**3 + 2*i**2 - 2*i - 1. Let w(j) = -9*p(j) - 4*v(j). Give w(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -14*z - 24. Let g(d) = -224*d - 378. Let v(l) = 4*g(l) - 63*x(l). Let m(f) = -4*f**2. Determine v(m(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053383 rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (2 + 45 + (37 - 20) + -6 + 14).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 1132703?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 3*t + t)*(-2 + 0 + 0) + 0*t + t - 3*t + 2*t - 2*t + 6*t to the form l + k*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 179290526 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 4, -4 in descending order.\nAnswer: 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23592, 94379, 212346, 377487, 589796?\nAnswer: 849267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 33) + (-46 + -3 - -14 - -15).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + 5 + -3*sqrt(125) + sqrt(125))**2 + -6*((-5*(-3 + sqrt(125)))**2 - sqrt(125)))*3.\nAnswer: -13230*sqrt(5) + 58692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43482872 rounded to two decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2855762.\nAnswer: 2, 7, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 636870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31005856 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 165*f + 94. Is 26 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50350 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 5*f)*(-8 - 10 + 22).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from rbbbbrbbprbbbpb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.2 (c) -1\/106 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. What is the second derivative of 0*f**2 + 4*f + 3*f**a - 2*f**5 - 3*f**2 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1154)\/(-3))\/((-292)\/(-7446))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149333, 298639, 447945?\nAnswer: 597251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4687\/116 - -1150\/29. Put 0.1, c, 6\/13, -1 in ascending order.\nAnswer: -1, c, 0.1, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/8 and 69\/208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 12:17 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -55. Let y(f) = 4*f**2 - f. Calculate the remainder when 1\/3 + w\/3 is divided by y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01765 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -661.\nAnswer: 3\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 - 7*d - 6. Let n be z(-1). Let b(m) = -3. Let j(h) = -h - 1. Determine n*b(x) - 3*j(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458437321?\nAnswer: 197, 941, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -41070 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.652 + 4.6520004709. Round a to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*x + 4*w, -3*w = -46*x + 48*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(4 + -5 - -3). Let j = 0 - 0. Solve j*h + 3*c - 26 = -u*h, c = -h + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2 + k**3 + 7*k - 7*k**3 + 11*k**3 + 9*k**2 + 0. Let s(u) = -14*u**3 - 26*u**2 - 20*u + 5. Let x(b) = -17*o(b) - 6*s(b). Determine x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2489.7 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**4 + 235*g**2 - 361 with respect to g.\nAnswer: -16*g**3 + 470*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8816 + 8811. Let k(y) = -9*y - 1. Let p(w) = -w**3 - 17*w - 2. What is z*k(i) + 3*p(i)?\nAnswer: -3*i**3 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1165.01087 - 1165. Round p to 4 dps.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 12. Let t be v(7). Suppose t*d + 510 = 5*d. What is the highest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.150869086315 + 0.01\nAnswer: -0.140869086315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -842, -563, -96, 559, 1402, 2433?\nAnswer: 3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6623786 divided by -39194.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 53\/5 of a meter?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 20568*f - 20564.\nAnswer: -4*(f + 1)*(f + 5141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = 8*c - 96 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and -4.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 302220020?\nAnswer: 302220123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-315))\/(9849\/12348 - 5\/7)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 106*g**2 + g + 213. What is o(-106)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.667 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1151 - 1046?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*r**4 + 2*r - 6148*r**2 + 12*r**4 + 6152*r**2 + (8*r**3 + 4*r**3 + 9*r**3)*(r + 0*r - 3*r).\nAnswer: -17*r**4 + 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20811792 to the nearest integer?\nAnswer: 4562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njmpgpuj. What is prob of picking 1 j and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(9\/1686) - 0. Let a = -299 + p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 20. Suppose h - 202 = -h - 2*g, -111 = -h + g. Suppose b*s = -h + 311. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 + 39.39. Which is smaller: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 16 = -p, -2 = -2*u - 3*p - 3. Let b be (-1)\/2 + u\/((-140)\/(-30)). Sort b, -21, 3 in increasing order.\nAnswer: -21, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1859277 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 2*o**2 - 2*o + 4. Suppose 7*d - 184 = 82. Suppose d*g = 42*g - 32. Suppose -5*l = g + 12. What is b(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.66. Let k = -3.06 - n. Let f = 3.056 + k. Round f to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3262100 (base 7) to base 16\nAnswer: -62126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/60)\/(36\/32). Let u = 743 - 740. What is the closest to -1 in u, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*g**5 + 44*g**4 + 16*g**3 - 4*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 235 + 140. Let k(m) = m**2 + 2*m - 1. Calculate the remainder when k(4) is divided by j\/12 + 1\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**2 + 111*o + 113. What is y(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*p - 21, 8*p - 4*p - 21 = -3*h. What are the prime factors of p + (-4)\/(4\/(-2)) + 62?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)*-1)\/(sqrt(500)*-2 + sqrt(500))*-5.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 2*v**2 + 4*v + 4. Let p be n(-3). Let a(x) = x**3 - 21*x**2 + 13. Let o be a(21). Solve 0 = -3*s - p + o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 264, 330, 506, 846, 1404, 2234?\n\"Answer: 9*c**3 + c**2 + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17049730 divided by 5\nAnswer: 3409946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 2. Let s be a(4). Let m = 16 + s. Solve m*o + 4 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3405 + -3402. Sort -11, 4, l in increasing order.\nAnswer: -11, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 470633 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 divided by 602.\nAnswer: -409\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose -i*n - 3*w + w = -13, 4 = -2*n + 5*w. Solve 4*b + 18 = 2*c - 8, 2*b = -c - n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, -5, 153 in descending order.\nAnswer: 153, 3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*k - 63*k + 58*k - 3 + 2*k + 3 + (0 - 1 + 0)*(k - 2 + 2))*(-7 + 9 - 3) as p*k + m and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/46962 and 47\/144.\nAnswer: 375696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -22, 4, -9, 8, -5 in ascending order.\nAnswer: -22, -9, -5, 0, 4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umishid. What is prob of picking 1 d and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 4*o + 2*j - j, -j = o + 42. Let d = 114 - o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1424717.1987813.\nAnswer: 1424717.0987813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 + w - 5. Let d be p(-2). Let h(o) = 3*o - 6. What is h(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-276 - 42 - 58)*(-2 + 3*o + 2)*(6*o**2 - 16 + 16).\nAnswer: -6768*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 60. What is the closest to 0 in 2\/13, -1\/7, h, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 3, n: 1, c: 2, s: 10}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 5*o - 55, 4*o + 5*z = 53. What is the smallest common multiple of 16 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106\/55 + 15221\/7755. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 228213*v**2 + 1369362*v - 1825848.\nAnswer: -3*(v - 4)*(v - 2)*(v + 76077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 + -658?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/4 - 141*y**2\/2 - 789*y\/4 + 1365\/2 = 0?\nAnswer: -91, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*m + 5714 - 5718 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 + -96. Let w = 39 - d. Is 23 a factor of 25\/(-2)*w\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12524280 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 36857181?\nAnswer: 36857159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 4. Let w be (3 - (3 + -2)) + -16. Let s be (-938)\/w + -2 + 1. What is the greatest common divisor of s and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/192 and -155\/1067808.\nAnswer: 2135616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 + 286 + (32 + 2 - -11)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1496\/38148)\/(8\/36*-6)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 3300*z**3 - 9924*z**2 - 9932*z - 3312.\nAnswer: 4*(z - 828)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*37\/42 + -5\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(-11) - (70 + 1). Let i = 302 + b. Suppose 5*w + 54 = i. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -578*u**2 - 6*u - 6. Let i be c(-1). Do 2 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 4) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17975682 divided by 3?\nAnswer: 5991894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -645, -969, -1293, -1617, -1941?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (5 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/((-84)\/9))\/((-3)\/(-1068)). Suppose -t = -g + q, 5*q + 71 + 188 = g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16512 divided by -4.\nAnswer: 4128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x + 10*x**2 - x**2 + 11*x as t*x + u*x**2 + l and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030822423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3178225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 16) to base 13.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1767 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 747543104 to the power of 1\/2, to the nearest integer?\nAnswer: 27341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/8553913 or 1?\nAnswer: 10\/8553913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 2*y**2 + y + 4. Let h be q(-2). Suppose h*v + 22 = 28. Let z(t) = 3*t**2 - t**2 - 6*t**2 - 5*t - t**v - 2*t**2. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4079\/4 - -1016. Find the common denominator of -17\/280 and d.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4522 and -16\/383845.\nAnswer: 247963870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 935149579 to the nearest 1000000.\nAnswer: 935000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 5. Let o(a) = -2*a**2 + 3. Let b(c) = -10*o(c) - 6*u(c). Let s(t) = 19*t. Give b(s(p)).\nAnswer: 722*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62272?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 plus -87925.351254?\nAnswer: -87923.251254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 180561, 180557, 180551, 180543?\n\"Answer: -l**2 - l + 180563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 5. Let g be s(7). Let d be ((-29)\/(-2))\/(1\/g). Suppose 0 = -5*m, -2*k + d = -5*m + 1. What is the remainder when 40 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 14. Calculate j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -6505?\nAnswer: -6507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 6*s)*(-1 - 1 + 16)*(4 + 2 - 4).\nAnswer: 140*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -40 - -34) + -48.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26831 and 12?\nAnswer: -321972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 15*m + 11*m - 19, 5*t + 2*m + 3 = 0. Let n(r) = 6*r**3 - 2*r + 1. What is n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, i: 1}. Give prob of picking 1 i, 1 g, and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + 221?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2. Let c(q) = 34*q - 2. What is k(c(r))?\nAnswer: -4624*r**2 + 544*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28220 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/6759, -1, -1\/2 in ascending order.\nAnswer: -1, -1\/2, 2\/6759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5463 - -5463. Is t at least as big as -21\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*a**2 - 597*a**2 - 498*a**2 as i*a**2 + c*a + l and give i.\nAnswer: -1411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*d*g*m + 3*a*d*m - 4*a*g*m + 13*a - 99*d*g*m - 2*d*g + 6 wrt a.\nAnswer: 2*d*g*m + 3*d*m - 4*g*m + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -39\/7 (b) 4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 4156.49.\nAnswer: 4156.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 5*s + 11 = 0. Let t = 0.06 - 1.06. Which is the nearest to t? (a) -6 (b) 3\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2, -4\/9, 0.0766?\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13010 = -5*t, -5185 = -t + 3*t - 5*b. Let n be (t\/15 - 3)*-3. Calculate the highest common factor of 53 and n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 18 - 4)*(-3*g**5 + 0*g**5 + 2*g**5 + (12*g**3 + 6*g - 24*g**3 + 13*g**3)*(3 - 3 - 3*g**2 + (-2*g - 2*g + 3*g)*(g - 4*g + 2*g))).\nAnswer: -129*g**5 - 516*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-174*p + 385*p + 7 - 190*p)*(-3*p**2 + 5*p**2 + 5*p**2 - 4*p) in the form r*p + t + h*p**2 + j*p**3 and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/24*-1*(-15)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 2, w: 1, d: 1, t: 2, f: 2}. Give prob of sequence dt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/30*-3 - 210\/50?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4521*i**5*m - 6*i**3*m - 16*i**3 + 160*i**2*m - 4*i**2 - i*m - i - 3*m - 90 wrt i?\nAnswer: 271260*i**2*m - 36*m - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8982 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26422 and 572.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27366, -54726, -82086?\nAnswer: -109446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756511 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(468) + -2 + 1).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40825 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 72, 104, 134, 162, 188?\n\"Answer: -z**2 + 37*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**2\/4 + 45*g\/4 + 189\/2 = 0.\nAnswer: -6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - l + 2 + 2 = 0, 16 = 4*l. Let x = -11795 - -11786. What is the third biggest value in x, j, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*r - 1183 = 734 + 99 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:29 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (819\/315 - (4 - 1)) + 731\/(-85).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 16*b + 31. Let r(s) = 355*s + 685. Calculate 45*h(j) - 2*r(j).\nAnswer: 10*j + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 2*b**3 - 2*b**2 - 6*b**3 - 7*b**2.\nAnswer: -4*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 + 5.5. Let j = -2 + n. Let z = 41 - 37. Which is the smallest value? (a) j (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/6 - v**3 + 4*v**2 + v. Let p be l(4). What is the highest common divisor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 4360*t**7\/21 + 802*t**3\/3 + 27*t - 15. Find the second derivative of y(f) wrt f.\nAnswer: 174400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23855 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 = -j - 4*j, -4*q + 5*j + 3 = 0. Suppose -o = q + 9. Let x = 15 + o. Solve -x*s - 1 - 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24 - 31)\/(123\/(-287)). What is w in s*w - 35\/3*w**2 + 0 - 13\/3*w**3 - 1\/3*w**4 = 0?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 6 = -2*n. Suppose 5*a = 2*o + 6, n*a + 5 = -o + 13. Solve o*j = -2*t - 18, 6*t = 3*t - 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 27 = 117. Let d = 8 + -10. Is (-16 - -22)\/(d\/g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4399491 by -3.\nAnswer: -1466497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3723, 5, 0, -5, -2, 4, -3 in descending order.\nAnswer: 3723, 5, 4, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3 - 2 + 10*x - x**2 + 0 + 7*x**2. List the prime factors of j(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 16*g**2 + 16. Determine k(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 156*u**2 + 87*u - 38306. Determine d(157).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 23 - 46 + 37*j - 17 + 25 + 35*j.\nAnswer: 72*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3553 (base 12) to base 2\nAnswer: 1011101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 21 = -3*v, 6*t - 5*v = t - 10. Find a such that 2*a**t - a + 0 + 7\/2*a**2 = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j - 1. Let b(p) = -11*p + 1. Let u(l) = -16*l - 117. Let w be u(-7). Determine w*i(h) - 7*b(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.138 * 23887\nAnswer: 3296.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8125469 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 22*p + 3*p**2 - 5*p**2 - 9*p + 12 + 2*p. Let m be f(8). Solve -3*x - m = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213184*c + 213181*c - 4*o + 35 = 0, 0 = c + 3*o - 10 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1 - 3*i + 0 + 4*i. Let l(h) = 2*h. Let m be 4\/5*(-10)\/(-4). Determine m*l(t) - 2*k(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + h - 19 = 0, -4 + 1 = d - 2*h. Let w(a) = -3*a**2 - 2*a + 2. Let v(k) = 3*k**2 + 2*k - 2. Determine d*w(r) - 4*v(r).\nAnswer: 3*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 11*y**3 - 6*y**3 + (y**2 - 5*y**2 + 5*y**2)*(0*y + 5*y - 4*y) + 3*y**3 + y**3 - 2*y**3 + 20*y**3 - 16*y**2 - 4*y**2 - y**2 - 16*y**3.\nAnswer: 14*y**3 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d*t**2 + 1192*d*t - 55*d - 18*t**2 + 529 with respect to t.\nAnswer: 8*d*t + 1192*d - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 7*q**2 + 164*q - 1844. What is o(10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161448 and 1251222.\nAnswer: 5004888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -241, -278, -11, 710, 2035, 4114?\n\"Answer: 25*f**3 + 2*f**2 - 218*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*1075*(-18)\/(-450).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, f: 7}. Give prob of picking 2 f.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -163*q**5\/5 - 17*q**4\/24 - 11*q**3\/6 - 88*q**2 - q + 2. What is the second derivative of l(s) wrt s?\nAnswer: -3912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-224)\/(-12))\/(-4))\/((-2)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3614, 6629, 9644?\n\"Answer: 3015*p + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10995, -12802, -14609, -16416?\nAnswer: -18223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -6, -37, 1 in increasing order.\nAnswer: -37, -35, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 2*i - 1. Let z(g) = 10*g**2 + 7*g + 4. Let d = -1 - -3. Let k = 20 - 12. Suppose -4*u + k = -20. Give d*z(y) + u*t(y).\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c - 68*c + 27*c - 27. Let w(y) = 5*y + 2. Let n(l) = l - 8. Let t be n(9). Suppose -9 + t = 4*o. What is o*h(p) - 27*w(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*q*u**3 + 5*g**3*u**3 + 3*g**2*q + 449*q*u**3 - 2*u**3 wrt g?\nAnswer: 12*q*u**3 + 30*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4402.19623 - -94.50323. Let f = -4300 - q. Let y = 0.373 - f. Round y to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*j**3 + 79*j**3 + 118*j**2 + 60*j**3 - 118*j**2.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*1\/(6\/(-33)))\/(-1). Let a be 57\/t - 8\/44. Suppose -8*w + 4 = -4*w. Sort w, 2, -4, a in decreasing order.\nAnswer: a, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24579476 is divided by 1602?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*a - 0*a + 48, -92 = -4*o + 4*a. Suppose 4*q + 12 + 31 = -5*g, 2*q + o = -2*g. What is the lowest common multiple of (-81)\/q + (-1)\/(-4) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*y + 267*y = -2028. Sort 1\/6, y, -0.08.\nAnswer: y, -0.08, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 21*b**5 - 90*b**4 - 1425*b**3 + 5790*b**2 + 5184*b - 1920 = 0.\nAnswer: -8, -1, 2\/7, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 - 47. Let z = b + 61. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (5 - 3)) + (0 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*x + o, -7*x + 3*o = -4*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21461 (base 7) to base 11.\nAnswer: -4055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 902 (b) -7\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**10)**(-14)*(b**(2\/7)\/b)**50*b**5\/((b*b**(-2))\/b) assuming b is positive.\nAnswer: b**(-593\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5210124 and 12.\nAnswer: 5210124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 3834.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z - 8 = 0. Let x(c) = -9*c + 8. Let h(b) = 28*b - 23. Let a(m) = z*x(m) - 3*h(m). Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:17 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43)\/(-5) - (-12)\/30. Suppose -3*j = 2*i + u, -i + 2*j + 1 = -12. Factor 40*l**2 - 4*l**i - 4*l + 4 - 44*l**2 + 8*l.\nAnswer: -4*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*d - 5469 - 9750, -4*a + 3*d = -20285. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-10) - 8 - 13\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412297?\nAnswer: 71, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + w = -23, -j - 8 = w - 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -16*u - 684. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 340*n**3 + n**2 - 4*n + 4. Let b be f(1). Suppose 15*v - b = 4*v. What is the greatest common factor of v and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55137 is divided by 5012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 + 3*h**2 + 3*h - 3. Let q(u) = u**3 - u**2 - u + 1. Let l(p) = 96*p + 764. Let i be l(-8). Calculate i*n(o) - 12*q(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + (0\/2 - -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -31) + (7 - (1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Suppose -5*o + 4*z = -4 - 3, -2*o = g*z - 14. Suppose 229 = o*a - 2. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Suppose 0 = -3*u - 5*g + 19, u - s*g - 2*g = 13. Let l(w) = 19*w**2 - 2*w. Let y be l(2). What is the highest common factor of y and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {q: 3, p: 7, l: 2}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 72 = -t. Suppose 0*m - 14 = g - 4*m, -5*g = 2*m - t. Find the second derivative of c**4 - 2*c + 7*c**2 - 7*c**g wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -293, -1439, -6, 2 in increasing order.\nAnswer: -1439, -293, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2393*x**3 + 2393*x**3 + 188*x**4 + (0 - x + 0)*(18*x**2 - 18*x**2 + 5*x**3) to the form j*x + p*x**3 + l + n*x**2 + d*x**4 and give d.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 11*n - 10. Let k be x(-12). Suppose -7*f + 15 = -k*f. What is the third smallest value in -1\/6, f, -3\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -28 - 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d - 0. Let j = d + 4. Suppose -5*b = -0*o + 4*o - 55, -2*o = j*b - 55. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -217a43?\nAnswer: -217a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2128 divided by -133.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -287, -263, -89, 235, 709, 1333?\nAnswer: 2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.05662 months in years?\nAnswer: 20.171385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/12*(-76)\/19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10197*u - 43*u**3 + 10197*u - 73*u**3.\nAnswer: -116*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*-317\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110644 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1862960 divided by 6380\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 28030 = -5*g, o - 24596 = -5*g + 3430. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*o = -96*o - 2608. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 - -1572\/7. Which is the nearest to 4? (a) w (b) 5\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163962284 is divided by 3469.\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(120) + (3*sqrt(120) - sqrt(120)))\/sqrt(10) + sqrt(12)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 8:25 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*k - 29 = 0, -4*b - 3*k = -131 + 40. Find the second derivative of -10*m**3 + b*m**3 - 39*m**3 - 29*m**3 - 42*m wrt m.\nAnswer: -354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81444 divided by 81444\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -604a5 - -9e?\nAnswer: -60406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361092?\nAnswer: 2, 3, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Let g(q) = -2*q - f + 1 + 0*q. Give g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 23459099?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = -4*k + 3024, 0 = -2*k - 2*v + 1512. Suppose k = -4*y - 0*y. Let g = -103 - y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 450299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/2, -7, -20\/57, 3, -1\/11, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 2. Let a(r) = 2*r + 4. Calculate a(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 13) + (1 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 + 662. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 r when three letters picked without replacement from brrbrrkrrvrprvrkpbv.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2.2, -352, 0.4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -70591180+53916\nAnswer: -70537264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2020, -5 in increasing order.\nAnswer: -2020, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5)\/(135\/(-90))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 33. Let x = -34 - v. Suppose -6*z - 10 = -4*z. Put x, z, -6\/5 in ascending order.\nAnswer: z, -6\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkkikkikik. Give prob of picking 4 k.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912 and 95536?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469261269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 796\/465 + -16\/15. What is the common denominator of (2 + -28)*(-5)\/55 and s?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -3 (b) 5 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.58 + -60. Let x = i + 0.4201. What is x rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_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: Sort -271, -13, 4, 1, -2, -1 in ascending order.\nAnswer: -271, -13, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 2*i**2 + 72*i - 71. Give j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -98439*r**3 - 7*r**2 - 3*r + 4. Let z be (-21)\/(-9) - 6\/18. Let h be 3\/z*(-56)\/21. Let u be l(h). Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-5 - -3)\/68). Let y = -68 + w. Solve j + 16 = -y*j - 4*u, -2 = -j + 2*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884\/153627 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11.1. Let f = 0.2 - 0. Which is the smallest value? (a) f (b) r (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -52*u - 11 + u**3 + 4*u**2 + 34*u + 0*u**3. What are the prime factors of g(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 412*i**2 + 1024*i - 105472.\nAnswer: -4*(i - 103)*(i - 16)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250489 divided by -1.\nAnswer: -250489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5244750 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 78260*g**2 + 391384*g + 313120.\nAnswer: -4*(g - 19570)*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50*-0.7\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 3.2. What is the second smallest value in r, -2\/11, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeecee. What is prob of sequence eec?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4633 to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/5)\/(q\/(q\/(q\/q**(-13)*q))))**(-3\/7))**34)**(-1\/23) assuming q is positive.\nAnswer: q**(-7548\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 2, m: 2, c: 1, l: 1, y: 1}. What is prob of sequence bmbc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 16, 40, 74, 118, 172?\n\"Answer: 5*j**2 - j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4, 0.1, 0.11, -4\/3 in descending order.\nAnswer: 32, 4, 0.11, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -129355.\nAnswer: 9\/129355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -309, -318, -325, -330, -333, -334?\n\"Answer: i**2 - 12*i - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-11 - 1)*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**(1\/2)*i**24\/i*(i**(-2))**(-6\/11) assuming i is positive.\nAnswer: i**(607\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 14. Let f be x(0). Let i(d) = 13*d - 61. What is the hundreds digit of i(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 24 - ((1 - 8) + (-2 - 26)) - -14.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 83 = 19. Suppose 4*o - 8 = f. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 - -222. Let y(q) = 13*q - o*q + 3*q + 11*q. Let p(c) = -2*c**2 - 19. What is y(p(f))?\nAnswer: -4*f**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -499 and -10?\nAnswer: 4990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 86. Let g be (-4)\/2 + (f\/(-1) - -10). Solve 3*a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2221 - 488. Let b = -1333 - c. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -2\/3 (c) 2\/5 (d) -0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 198.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 36 - 128 - 2*c - 2*c**2 + 54 + 50. Determine y(-8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847 - 1700 + 11*m + 853 - 20*m - 8*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98184 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 + 3*m + 6599998. Let h(s) = -s**3 - s**2 + s - 1. Let g(w) = -f(w) + 2*h(w). Let b be g(0). Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11585)\/(-4634))\/(((-3)\/20)\/3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) - 18\/(-12). Let t(c) = -22*c. Let y be t(d). Calculate the remainder when 29 is divided by y\/(-3) - (-4)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whj when three letters picked without replacement from {w: 7, h: 1, j: 11}.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/70 - 10701\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27674 and 523614.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-650)\/(-1 + 6))\/(-1). Suppose -u + 62 = 2*h, -2*u - 15 = h - s. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250270 is divided by 250260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 33 = -2*p, 4*p = n + p - 38. Let x = -49\/2 + n. Which is the closest to 2\/3? (a) x (b) 2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 48*w + 5203. Let f be s(52). Suppose 5*m - 3*q - 25 = -2*q, -3*m - q = -23. What is the third biggest value in -2, f, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001484648 to 6 decimal places.\nAnswer: -0.001485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d - 25*d**3 + 55*d**3 - 28*d**3.\nAnswer: 2*d**3 - 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17827 - 17818. Calculate the remainder when 991 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15361974 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: b\"What is the lth term of 2595, 2329, 2063, 1797, 1531?\n\"Answer: -266*l + 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (99\/(-99) - (-107)\/108)*-2284.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/20124 - -62599\/382356. Is u at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7456.508 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38797 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361 or 0?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a18 + -75?\nAnswer: -5a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(112) + -6*sqrt(7)*-1)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*4\/(-4)*(-19)\/19. Solve 6 = 2*n + s*v - v, 0 = 4*n + 3*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -194*v**3 - 1 - 13 + 193*v**3 - 7*v**2 + 8*v. What is w(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(0*c + 0*c - 4*c**2) + (-35 - 47 + 68)*(3 - 2*c**2 - 3) to m*c**2 + z + i*c and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 45384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i. Let q(g) = 10*g**2. What is s(q(m))?\nAnswer: 210*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3165b (base 16) to base 12.\nAnswer: 9910b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 849455151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 24. Let s be d(0). Suppose -11*i + 7*i = -s. Suppose 0 = 4*p - c - 440, -2*p + i*p + 2*c = 452. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5687474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/9 - 4082*i**3\/3 - 1691670*i**2 - 597319650*i.\nAnswer: -2*i*(i + 765)**2*(i + 4593)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -480\/11*q - 138\/11*q**2 - 6\/11*q**3 - 456\/11 = 0. What is q?\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -10, -37, -80?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 72*k + 148. Let f be r(-74). Which is the third smallest value? (a) -0.4 (b) 2 (c) f (d) 2\/19 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 + 24*f**2 + 24*f + 17. Give m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28495, 56975, 85457, 113941, 142427, 170915?\nAnswer: 199405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u. Suppose 2*y - 6 = -5*l, -5*l + 50 = 4*y + 18. Suppose r - 2 = -3*b - 3*r, 32 = 2*b - 5*r. Let t(a) = 7*a. Give b*f(p) + y*t(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 6, -1\/15 in descending order.\nAnswer: 6, 0.3, -1\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 4*q, -124*r + 127*r + 5*q = 64 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 + 26*n**3\/3 - 30*n**2 + 94*n\/3 - 32\/3.\nAnswer: 2*(n - 1)**3*(n + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 72 = 3*s. Suppose 0 = -9*x + 6*x - s. Is 4 a factor of (104\/20)\/(x\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(8\/220 - 0). Calculate the common denominator of 2 + v\/7 + 4 and -73\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((6\/(-4))\/3). Let d = 0 + 3. Suppose -4*h - 43 = -d*v + 96, -285 = -5*v - m*h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 4, j: 2, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 - 8*v + 8. Give j(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**2 + 2. What are the prime factors of m(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*c - 7*c - 4*a, -4*c + 60 = 5*a. Let d be 3 - (-1 - -4) - 1. Let k be (25\/20)\/(d\/(-64)). Calculate the highest common factor of k and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*s = r + 14, 0 = -4*r - 2*s + 18. Factor 6*f**3 - 30*f**3 - 4*f**4 + 10*f**r - 46*f**2.\nAnswer: -4*f**2*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w - 5. Suppose -11*t + 12*t - 5 = 0. Suppose 3*s - t = -17. Calculate j(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575055 is divided by 143754.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40564*y**2 + 40592*y**2 - 81162*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 637*q - 83.\nAnswer: -637*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 835, 1675, 2513, 3349, 4183, 5015?\nAnswer: 5845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - (-5132370)\/8. Suppose 7658454 = -5*q - r. Round q to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26316 + 1203. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + -15 + (-2 - -1 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*x)*(-814*x**3 + 289*x**3 + 6690*x**3) to v*x**4 + g*x**2 + s*x + u*x**3 + c and give v.\nAnswer: -12330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/638)\/(12450\/164340).\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 57*z**2 - 16*z**2 - 55*z**2. Let f(i) = -15*i**2. What is -2*f(o) + 3*h(o)?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2, -0.192 in increasing order.\nAnswer: -5, -2, -0.192, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9627 = -24*u - 123. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 17. Let q be s(8). Let c = q + -33. Calculate the common denominator of c\/16*(0 + -12) and 40\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 + 237. Suppose g = 5*j + 13. Solve -2*x = -0*x + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*g = 1381*g - 134726 - 19085 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32718770 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690, 1162, 1906, 2922, 4210?\nAnswer: 5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163 times -4?\nAnswer: 4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/12 + 7*y**3\/6 - 8*y**2 - 14*y. Let u be k(-9). Solve 0 + 2\/7*h + 2\/7*h**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356.039 + 0.039. Let z = h + 359. Let x = -30.938 + -0.062. What is the biggest value in x, z, 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 32448.\nAnswer: 64896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80178 is divided by 220.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 2, r: 5}. What is prob of sequence ooir?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2108618, -2108617, -2108616, -2108615?\n\"Answer: s - 2108619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45947846 to four dps.\nAnswer: -0.4595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -30. List the prime factors of i*(4\/(-8) + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*l - 4. Let d be 3 - (-2 - l)*(-54)\/4. Suppose -19*p + 13*p = -d. Solve -2*v - 3 = r, 2*r + v + 1 = -p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:00 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50411, -100802, -151193, -201584?\nAnswer: -251975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 357*w**2 + 28*w - 2. What is the remainder when j(1) is divided by 101?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-12)\/3)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 248*j**2\/7 - 2*j + 2652\/7 = 0. What is j?\nAnswer: -17, -26\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5480 + 695. What are the prime factors of c?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-5)\/(-16))\/(59\/(-118)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 4 - w - 1. Determine q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 5*p**2 - 10*p + 9. Let k be n(3). Let s(j) = -j**3 + 3*j**2 + 2*j - 2. Let y(r) = -2*r**3 + 4*r**2 + 3*r - 3. What is k*s(q) + 2*y(q)?\nAnswer: -q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 20.\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 6010.\nAnswer: -36060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20216984743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*m*n*p**2 - 252*h*n + 9*m*n*p + 6*p**2 wrt h.\nAnswer: m*n*p**2 - 252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*p + 17. Calculate the least common multiple of 9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r + 466. Let k be f(0). Let m = k + -224. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 997625 and 1596200.\nAnswer: 7981000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3957308351 to the power of 1\/2, to the nearest integer?\nAnswer: 62907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -2 - 2) + -2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 2660510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0 - 1\/30*b**5 + 0*b**3 + 0*b**4 + b**2 + 0*b. Let m(h) = -4*h**2. Give c(m(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2537573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f + 5. Let b(z) = -13*z + 6. Let q(s) = 5*b(s) - 6*u(s). Let a be q(0). Solve a = -3*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 424\/(-1378) - 17\/(-13). Is -1\/1649 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zavzvzvtzdzdzvzaa.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lxxlxllxxl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 9 = -n - 15, -22*u + 19*u - 3*n - 27 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (189\/14)\/(3\/6). Let v be -2*4\/(-16)*48. Let t = u - v. Solve 12 = 2*f - k, -5*k = -t*f - 3*k + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -36*z**3 + 224*z**2 - 228*z + 40 = 0.\nAnswer: 2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g - 8. Suppose 955*u = 968*u + 95 - 30. Calculate d(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10024200, 20048358, 30072516, 40096674, 50120832, 60144990?\nAnswer: 70169148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -12 (b) 0.4 (c) -3\/2 (d) 5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*j = -c - 8, 0 = 4*c - 5*j - 22. What is the biggest value in c, 3, -1, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 948 = 4*w + 3*a - 7*a, -5 = -5*a. Let p(o) = -2*o**2 - 236*o + 468*o - w*o + o**2. Give p(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 <= 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdld when four letters picked without replacement from {d: 5, k: 2, l: 1, c: 1}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1054, -3010, -6766, -13222, -23278?\nAnswer: -37834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9783026 by -9783026.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22*8\/(-48) - (-2)\/6. Solve -4*m - o - 18 = -4*o, -14 = 2*m - s*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = -4*c - 2*b, c - 7 = 2*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 102*s + 192.\nAnswer: 3*(s + 2)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 13*k**2 + 2*k + 30. Let c be q(-13). Suppose 5*w = 3*h - 0*h - 10, -4*h + c*w + 8 = 0. Which is smaller: h or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/921039 or -1?\nAnswer: -1\/921039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609812, -1219656, -1829504, -2439356, -3049212, -3659072?\nAnswer: -4268936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72601178 a multiple of 2119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 3*j**2 + 17*j - 1. Let l(n) = -n**3 + 2*n**2 - 12*n + 1. What is -4*l(c) - 3*s(c)?\nAnswer: -2*c**3 + c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4) + 895\/2 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-42)\/5)\/(18\/(-120))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/8715 + -151657\/34860. Calculate the common denominator of k and ((4\/44)\/((-122)\/(-109373)))\/21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-18))\/((-2)\/(-8) - 1). Is 23 a factor of 3\/(15\/q) - (-393)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 19 = h, h - 20 = -4*s - 4. Suppose 2*o - s*b - 242 = -9*b, 5*o - 565 = -2*b. What is the highest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 4, -48 in ascending order.\nAnswer: -115, -48, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3301040?\nAnswer: 990312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.005 in -1\/16, -2, -5\/4, -4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -99. Solve -5*u + 0*g + d = 5*g, -5*u + 4*g = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342395?\nAnswer: 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 684 and 5477.\nAnswer: 3746268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 932, 2217, 4046, 6437, 9408, 12977?\nAnswer: 17162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01251 to 4 dps.\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (2 + -3) - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15. Suppose -4*y - 2*g - 1480004 = z, 0*y = y - 3*g + 369994. Round y to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925418600?\nAnswer: 2, 5, 151, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*z + 2, 0 = g - 0*g + z - 5. Suppose -g*m = -7*m - 10*m. Solve m*h + 6 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 160 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 3*r - 6. Let l(s) = -1. Let y(v) = 6*l(v) - q(v). Let m(d) = -d. Let g(a) = 3*m(a) + y(a). Let z(h) = 10*h**2. Give z(g(w)).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -15*d**2 + 119*d + 456. What is i(-4)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240854?\nAnswer: 2, 120427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d**2 - 2*d - 7. Let q(p) = -11*p**2 - 3*p - 6. Let g(k) = 4*q(k) - 3*s(k). Let f(i) = -4*i**2 - 12*i - 5. What is -3*f(h) + 5*g(h)?\nAnswer: 2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3))**(-4\/3) assuming c is positive.\nAnswer: c**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -20*j - 4 + 3 - 1. Let t = -3 + 1. Calculate the remainder when y(t) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*q + 24 = -2*y, 26 = -4*y + 2*q. Which is the second smallest value? (a) -2\/19 (b) y (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182000 and 6471500?\nAnswer: 336518000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 4060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-96) - ((-10)\/6)\/(-5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 - 2*i + 3. Calculate z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -k - 25, 3*c + 4 = k + 21. Let w be 678\/(-30) - (-2)\/(-5). Let s = w - k. Solve x + 2*x = s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996333476 to the power of 1\/2, to the nearest integer?\nAnswer: 54739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*((-5 - 1 + 3)*(3*o**3 - 2*o**3 - 2*o**3) - 2*o**2 + 2*o**2 + 3*o**3).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -312109, -624215, -936321, -1248427?\n\"Answer: -312106*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 30. Is 7 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from tyhwythteeyfh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 253806?\nAnswer: 4314702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3947 less than -1300038?\nAnswer: -1296091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91.9 - -100.93. Let x = -0.1 - 8.9. Let h = x + v. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18947*y**2 + 2316 + 2323 - 4637 in the form c + u*y**2 + f*y and give u.\nAnswer: -18947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**8\/8064 - y**7\/5040 + y**5\/20 - 4*y**2. Let k(r) be the third derivative of p(r). Let k(x) = 0. What is x?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1373 * -42.8.\nAnswer: -58764.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.84 - 0.16. Let h = -4 - l. Let o be 1 + (2 - (-2 + 1)). Which is the smallest value? (a) h (b) -0.05 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 989.9 - 990.3. Which is the closest to -4? (a) 2\/7 (b) -2 (c) i (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-152385.5283\nAnswer: -152385.2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10857\/(-188) - -66)\/((-2)\/8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6820 - -7204. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311 + 196 - 7*v - 193)*(5 - 5 + 3*v)*(3 - 3 - 2).\nAnswer: 42*v**2 - 1884*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 24*g + 9*g - 1521253. What are the prime factors of g?\nAnswer: 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -6 - (-7)\/((-56)\/288)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**3\/21 - 68*a**2 + 16184*a + 1002. Let l(h) = 0. What is h?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*v**5 - 15628374*g*v**2 - 5*g + 14*v**3 + 37387047*v wrt v?\nAnswer: -40*g*v**3 - 31256748*g + 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 40 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 1. Suppose -3*p - 5 = 2*p. What are the prime factors of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 1\/4, -1\/5, 155.\nAnswer: -1\/5, 3\/13, 1\/4, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**7\/k)\/k**(-3))\/(k**(-4\/9)\/(k\/k**(2\/9))))**(-6\/7) assuming k is positive.\nAnswer: k**(-184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75702 divided by 2?\nAnswer: 37851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115.1 - -138. Let n = k + -21. Let p = n + 2.1. What is the smallest value in -2, p, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (1 - 0)\/1. Let k = -5 + 8. Let y = 7 - k. Solve h*z + c = -z + 9, y*z = -4*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 25 = 4*y. Suppose x - 5*u = -13, u - y*u = -2*x - 20. Calculate the remainder when 26 is divided by (4\/x)\/(2\/(-56)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4608 - 1541 - o - 1539 - 1528.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -3\/5, -1507, 2\/15, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888.5654 years to centuries.\nAnswer: 8.885654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-46))\/((1\/(-1))\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -16, -44, -84, -136, -200, -276?\n\"Answer: -6*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -t, -4*t = -2*k + 55 - 27. What is the lowest common multiple of 10196 and k?\nAnswer: 10196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*n = -5, -s + 2*n = 3*s + 6. Which is smaller: 1\/4709 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84738, -2\/3, -4, 1\/2, -1 in increasing order.\nAnswer: -84738, -4, -1, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.239 * 1066\nAnswer: -1320.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(38\/3))\/((-4)\/(-16)*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w. Suppose -c + 14 = -1. Let k(p) = p**2 + c*p**2 - 6*p**2. Let d(a) = a**2. Let f(u) = -22*d(u) + 2*k(u). Calculate v(f(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(-2 + sqrt(7) + sqrt(7)) + 0).\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by 6\nAnswer: 157\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 2*r. Let o be i(4). Let f be ((-594)\/o)\/(2\/(-64)). Calculate the greatest common factor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:53 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -5*x**4\/12 - 13*x**3\/6 - 27*x**2\/2 - 784*x - 3. Give d(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 485712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14450*h**2*i*u + 5860*h**2*u - 2*h**2 - 2*i**3*u - 3*u with respect to i.\nAnswer: 14450*h**2*u - 6*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6480)*-1)\/((sqrt(1296) + -1*sqrt(1296) - sqrt(1296))*-5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*t - 3*f, 4*f = 3*t - t - 40. What is the second derivative of -2*b + t*b**4 + 9*b + b wrt b?\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**0)\/g*g*g\/g**(-7))\/(g*((g\/(g\/g**5))\/g)\/g*g*g\/g**(-8)) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4\/2 - 45*b**3 - 2113*b**2\/2 - 1980*b - 968 = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-54))\/(47*12\/1692)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + -40 + 195 + -63.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*k**2 + 3 - 14*k**2 - 14*k**2 - k**2 - 1596*k to d + s*k + o*k**2 and give s.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0.899?\nAnswer: 1.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - w = -6, -4*o + 6 = 2*w - 26. Let k(j) = -j + 3. Let n(f) = -2*f + 10. Determine o*k(z) - 3*n(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 7942 = -10*h. Does 45 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 54927 - 54930 - 4*b - 56*b**3 + 3*b.\nAnswer: -56*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6308 (b) -0.5 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1742, -1753, -1764, -1775?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -493*(-76)\/1292 + (-3 - (-20 + -3))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32931127?\nAnswer: 32931127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwc when three letters picked without replacement from {t: 1, l: 2, c: 2, v: 10, w: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 226 + 216 = 0. Suppose 35 = -4*q - 3*b + 11, 0 = 5*q + b + 19. Sort q, -5, h in decreasing order.\nAnswer: q, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 76. Suppose a*i - 7*i - 12995 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4461984.\nAnswer: 2, 3, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*n**5 - 342 + 342)*(3 - 1 - 8)*(-6 + 4 - 1)*(-12 + 38 + 3).\nAnswer: -49068*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-6)\/x)\/(x*x**(-4\/15))*x**(-2\/5)*x**(-1\/6)*x)**23 assuming x is positive.\nAnswer: x**(-1449\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4549 + 13620. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.814 rounded to one dp?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 2*s + 1. Let o be i(1). Let z be ((-2)\/4)\/((-4)\/(-232)). Let b = o - z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:00 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.398779 centuries to decades.\nAnswer: 3.98779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24105.483us in hours?\nAnswer: 0.0000066959675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-2 + -1)) + 0\/2. Suppose -m - 3 = -2*p. Solve 0 = 3*f - p*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1668 and 5004.\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - 2) + 18 + -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11630 (base 8) in base 15?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 2*v + 831 - 812 in the form l + y*v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104.08 from 1213.\nAnswer: 1317.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547596 is divided by 821?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 13*f**4 + 11*f - 6. Let n(p) = 7*p**4 + 6*p - 3. Suppose -2*i + 9 = -13. Let s(c) = i*n(c) - 6*y(c). What is the first derivative of s(k) wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13\/4 (b) 4 (c) -266 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253455267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 78499513.87 to the nearest ten thousand.\nAnswer: 78500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*f - 8*a**2 - 2*a*f**2 - 1040*f + 7 wrt f?\nAnswer: 2*a**2 - 4*a*f - 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.25301 years to months.\nAnswer: 459.03612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1929.2 times -5\nAnswer: -9646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*j**4 + 4*j**4 - j**4)*(8 + 84 - 51).\nAnswer: 246*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = -5*q + o, -195 = 2*q - 2*o - 57. Let u = 88 + q. Suppose -4*w + 197 = 2*h + 53, 0 = 3*h - 4*w - 196. What is the remainder when h is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 19. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/8*(-596)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*s + 7 + 2, -2 = -2*s. Let n = -3 + 8. Sort 1, x, n in decreasing order.\nAnswer: n, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 17*w**4\/6 - 41*w**2 + 2. Let m(c) = -8*c - 9. Let v(t) = -2*t - 2. Let i(z) = -2*m(z) + 9*v(z). Give u(i(h)).\nAnswer: -136*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744471\/(-202)*12\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216.924 - -216. Let o = -0.346 + x. Which is greater: -1\/4 or o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -21*j**3 + 2*j**2 - 3*j - 4. Calculate p(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212595 is divided by 2732?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*q + 14 - 2, -5*q = -l + 15. Suppose l = m + 3, -v + 84 = -8*m + 3*m. Suppose -3*u + v = u + 3*j, j + 12 = u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99220.84ms to microseconds.\nAnswer: 99220840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*8\/40*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 1\/3 (c) -5 (d) -1511164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83656 and 128?\nAnswer: 1338496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*x - 45, -3*x + 1 = -f + 5*f. Are f and 21\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 811205 greater than 811296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) -0.4 (b) 0.04 (c) 4\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x + 1. Let m be p(-2). Suppose 0 = -5*o + 5*r + 30, 5*r - 10 = m*o - 34. Solve 5*c = 4*w + o*c - 4, -8 = w + 4*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by (1 + 23)\/(21\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4, -0.2, 5, 4, -3\/10, 303.8?\nAnswer: 303.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 9*p + 3. Let s be t(7). Let h = s + -1. Does 13 divide ((-52)\/h)\/((-1)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 8*o - 31500 = o. Which is greater: 3499\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 46. Suppose -4*n = -k - 17, -4*n + 35 = 2*k + 3*k. Find the third derivative of k*c**4 + 10 - 10 + 3*c**y wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -453205 - -35?\nAnswer: -453160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + (-12)\/112)*-4 and 83\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54d74 (base 15) in base 16?\nAnswer: -41d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(1300) + 1 + sqrt(1300) + 0 - (4 + (sqrt(1300) + 1 + sqrt(1300) - sqrt(1300)) + -3 + 2))**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) -65\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**5 - 29*w**4 + 34*w**3 + 7*w**2 - 14. Let r(y) = -y**4 - y**2 + 2. Let g(j) = -14*r(j) - 2*t(j). Factor g(l).\nAnswer: -4*l**3*(l - 17)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10)*-2) + -2*sqrt(425))**2.\nAnswer: 7497\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 8. Let m(z) = -6*z + 952. Determine 2*h(t) + m(t).\nAnswer: 2*t + 968","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 5, -192 in decreasing order.\nAnswer: 5, -161, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 - 3. Let k be w(-5). Let n(m) = -m**3 - 3*m**2 + 3*m - 5. Let l be n(-5). Let v = k - l. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5275, 10746, 16415, 22282, 28347, 34610?\n\"Answer: 99*c**2 + 5174*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*s**3 - 18*s**3 - 3*s + s + 11*s - 8 to o*s**2 + r*s**3 + d*s + u and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -224 (b) -2\/11 (c) 11.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, r: 3, w: 3, j: 3}. Give prob of picking 1 r and 2 j.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -27. Suppose 5*u - y = -11*u. Calculate the common denominator of 51\/54 - u - (-2)\/2 and -67\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*p - 3780920 = -160*p + 298*p. List the prime factors of p.\nAnswer: 2, 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 12 = -2*y. Suppose -150 = -y*f - 0*f. Suppose -3*l = 2*l - f. What is the remainder when 47 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345 divided by 17.\nAnswer: 1345\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10960000 to the nearest 10000.\nAnswer: -10960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -0.90000344. What is l rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 133?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 2. Let f(g) = -4 - 4*g + 3*g - 5*g + 5*g. Determine 3*f(a) - 5*l(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 22 + 3 = 0. Suppose -2*v - 3*v = -w*j + 10, v - 2*j = -6. Factor -9*t**3 - 3\/2*t**5 + 6*t**4 + 0 + 6*t**v - 3\/2*t.\nAnswer: -3*t*(t - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(3\/6*-1). Let p(d) = -d + 14. Let b be 10*2\/4 + -3. Let c(s) = 1. Let t(j) = b*p(j) + y*c(j). Give t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176104320 divided by 6\nAnswer: -29350720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4\/2 - 965*d**3\/2 + 47975*d**2\/2 - 135375*d\/2.\nAnswer: 5*d*(d - 95)**2*(d - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54640 and 7828?\nAnswer: 106930480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from {k: 9, g: 5, m: 3, j: 2}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(((i\/(i*i\/i**(-4)))\/i)\/i))**(-17\/4))**(-2\/57) assuming i is positive.\nAnswer: i**(51\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o**2 - 181*o - 24. What is the smallest common multiple of c(12) and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + 23 - (4 - 15 - -21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Let i = -17 + 33. Let m(a) = -1 + a**2 - 1 - 15*a + i*a. Determine m(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074250.\nAnswer: 2, 5, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*t - t - 3 - 5*t)*(195*t + 136 - 136) to o*t + x*t**2 + l and give x.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9963559*x = -9963587*x - 2380 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -833 + 3480. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144639 - 144625.70182. Let t = r - 13.3. Round t to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.87701626712 and 0.4.\nAnswer: 9.27701626712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 22. Let i be y(9). Let a(g) = g**3 - 30*g**2 - 34*g + 105. Calculate the lowest common multiple of a(i) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11074 - -39?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -27488 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5)*-1)**2*4 + 3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*a - 168, -5*a + a = -u - 106. Let y be (40\/(-160))\/(-1*2\/56). Is (u\/35)\/((-1)\/y) + -3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 46002.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) 5 (c) -1\/7 (d) -0.04 (e) -25 (f) 46 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13235*s**2 - 40*s - 105 wrt s?\nAnswer: 26470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30 + -15)\/(-30) + (-66)\/(-4). Let p = -12 - -20. What is the highest common divisor of b and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-10))\/((-1)\/((-30)\/(-12))). Let y(k) = 13*k - 87. Let i be y(q). What is the biggest value in -0.2, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611732 to the power of 1\/2, to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.466 + 6.7. Round r to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*i = 10, -i = -z - 2*i. Suppose -5*y + z*s + 45 = 0, 2*s + 34 = 3*y + 6*s. Let w = 64 - 15. Calculate the remainder when w is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:51 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 20. Let w = 75 - r. What is the remainder when w is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + ((-126 - -93) + 10 + 22 - (7 + 0))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 252 = -4*x - 304, 3 = -4*b - 2*x - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 95 - 68 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 37185.\nAnswer: 74370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.375 and 0.142?\nAnswer: -0.05325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8300831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -331 + 333. Factor -6\/5 + 3\/5*y**f + 3\/5*y.\nAnswer: 3*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11659, 46712, 105157, 186994?\n\"Answer: 11696*z**2 - 35*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.4 + -10. Let v = 3.6 + s. Let z = v + -4.04. What is the second smallest value in 0.3, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 + (13 - 2) - (-11)\/((-11)\/(-12)). Suppose 0 = -13*a + 18*a - 25. Solve -3*q + a*q + y = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4 - -1)*(-23)\/((-115)\/10). Which is the closest to 2\/5? (a) -2\/19 (b) i (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -554436 at most -554439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2605 or 1\/5960?\nAnswer: 1\/5960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(-6*(sqrt(539) + (sqrt(539) - (sqrt(539) - sqrt(539)*-1)*4) + -2*(sqrt(539) + sqrt(539) + 2)))**2.\nAnswer: 201600*sqrt(11) + 19409760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*h = 137*h + 190. Let f = h - -376. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36636.\nAnswer: 2, 3, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10073*o + 503662. Determine g(-50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7)\/14)\/(16\/(-7104)) is divided by 187?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (24 - (23 + -12))) + -13 - -22 - 38?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-973)\/56 - ((-185)\/(-40) + -5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519020847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*t + 11 = -7, 5*c + 2*t = 34. Find w, given that -c*w + 1 + 3 + w**2 + w**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/28*(-112)\/32)\/((-4)\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*n + p + 1, 124*n - 2*p = 157 - 35 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003783 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 12*b + 8. Let d be g(-12). Suppose -d*f + 259 = -45. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 1.727.\nAnswer: 2.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126\/5 - 695. Which is greater: w or -671?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1672cc (base 13) to base 6.\nAnswer: 15545504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 496 = -3*x - 4*z, 5*x = -z + 838. What is the remainder when 94 is divided by (x\/(-30) - -6)*35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 19 - (-3 - (-1 - 0)). Is -140\/13 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1680610 at most as big as -1680243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcrxrrcxllcrerck. What is prob of sequence kc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1435, -1152, -387, 1100, 3549, 7200?\n\"Answer: 40*v**3 + v**2 - 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 1568135694.\nAnswer: 1568135694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.021, -98, 4.03?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 121*v + 76. Let w be f(14). Let t = 199 - w. Let z = -186 - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/((-596)\/(-3129)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 61*s - 2198. Let l be i(36). Sort 5, -161, 2, -5, l in ascending order.\nAnswer: -161, -5, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 355 + 532. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + n - 3*n as i + b*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 - 16*x + 9. What is the tens digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*s - 8*a + 11*a, 4*s + 5*a - 50 = 0. Let f(g) be the second derivative of -1\/210*g**s - 243\/7*g**2 - 5*g - 27\/7*g**3 + 0 - 3\/14*g**4. Factor f(c).\nAnswer: -2*(c + 9)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*q**2*y - 15*i**2*w - i*q**2*y + 2*i*q*w*y + 3*i*q - 2*q**2*w - 2*q*y wrt w.\nAnswer: -15*i**2 + 2*i*q*y - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1218302.1327 + 1218419. Let w = -0.5827 - h. Let x = w - -120. Round x to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40595 and 9545?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3, 0 = -3*f - 3*s + 1 + 2. Let y be (0 + 1)*(-18)\/(-18). Let w(u) = f*u - u - y + u - 6*u. Give w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*a = 13430, -3*a + 1406 = m - 1260. Suppose 0 = 6*u + m - 7151. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09775 + -0.5175. What is p rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/(-6) - -1)*-29685. Suppose 2*o = -2*o + z + m, 93980 = 2*o + 4*z. Round o to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -3. Suppose 2 + 4 = 3*o. Put t, 4, o in decreasing order.\nAnswer: 4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5906*k**2. Let h(f) = 30*f**2. Determine w(h(j)).\nAnswer: 5315400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 86*h - 220. Let q(a) = -22*a + 53. Let p(y) = -11*q(y) - 3*x(y). What is p(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + -187. Calculate the least common multiple of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 16*u**2 + 369*u - 19. Let q be a(-23). What is the second biggest value in q, -3\/8, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 344*a + 1101 + 4059 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {r: 1, q: 1, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 4, a: 1, i: 2}. Give prob of picking 1 a and 2 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:00 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (43 - 21) + 7 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*y**5 + 0*y - 4\/13*y**2 + 0*y**4 - 6\/13*y**3 + 0.\nAnswer: 2*y**2*(y - 2)*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/3*2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 11:06 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 6 + 3*v - 4. Suppose -9*d + 3*d + 18 = 0. Calculate m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16966.98 + 16967. What is the nearest to -0.1 in v, 4, -0.27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Let c be (-10 + -1)\/(r\/(-4)). Suppose c = 3*q - 61. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 15*d**2 - 53*d + 20. Calculate h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12384 is divided by 98.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.1, 1\/4, 0.2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 197 = c, 5*q - 325 = -5*c - 0*c. Let y = q - 64. Suppose 12 = 3*h + 3*a, -2*h - y = 5*a - 4. Calculate the smallest common multiple of h and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17503.732 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 6*d**2 + d - 8. Let k(p) = -p**3 - 9*p**2 - 14*p + 4. Let w be k(-7). Let m be s(w). Which is greater: m or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-13 + -5 - -5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1050\/(-40))\/21. Let u be (-26)\/22 + 0 + 1. What is the smallest value in 5\/3, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 5*q**2 + 1\/6*q**3 + q + 0. Calculate the remainder when 10 is divided by j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let q be (-2 - 1 - y) + -3. Let z = -1 - q. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 1 + 24 + 23 - 82 - 5694*a)*(-a**4 + 2*a**2 - 2*a**2).\nAnswer: 5694*a**5 + 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16868*0.206\nAnswer: -3474.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60977, -121933, -182899, -243881, -304885, -365917, -426983, -488089?\nAnswer: -549241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -9\/4 (b) 1 (c) 1\/4 (d) -4 (e) -679\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 14*b + 6*b**2 - 13 - b**3 + 11*b**2 + 5. Let i be m(11). Let n = i - 209. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 37.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 + 5. Let a(u) = 2*u**3 - 6*u**2 - 6*u + 3. Let y(l) = l**2 + l. Let c(t) = -a(t) - 6*y(t). Let i = 23 - 20. What is i*g(n) + 5*c(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h\/(h**(3\/14)*h)))\/h**4)\/((h**(-4)*h*h)\/h*h\/(h*h**(-1\/3)*h)) assuming h is positive.\nAnswer: h**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from sssassaass.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -899 by -5.\nAnswer: 899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - ac6?\nAnswer: -acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154613 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 31208*u + 31209 = 0. Calculate u.\nAnswer: -1, 31209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 2, 4, 5 in decreasing order.\nAnswer: 10, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36968 and 1169.\nAnswer: -43215592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**5\/30 + p**4\/8 - p**3\/3 + 2. Let a(m) be the third derivative of z(m). Is a(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 140*j**3 + 53*j**3 + 1.\nAnswer: -87*j**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6768 divided by 752.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 95 = 5*n - 7*n, -4*n = 3*l - 83. Suppose -12*a = l*a - 14586. What are the prime factors of a?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/34356 and -50\/131?\nAnswer: 4500636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (136\/10)\/(22\/55) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/5*-1 - -5. Which is the nearest to s? (a) 0 (b) -0.1 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b3 + -155?\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syhyhyhbbhs. Give prob of sequence hshb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12663 and 1070727?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 35*q**4\/24 + 252*q**2. Let w(o) be the second derivative of 2*o**3 - 48*o - 1. Calculate z(w(t)).\nAnswer: 420*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, n: 1, e: 1, g: 1}. Give prob of picking 1 e and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18786 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249018 and 53526.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-18 - -16) + (-2 - -7 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/120 + l**5\/15 + l**4\/8 + 2*l**2. Suppose 10*a + 259 = 3*a. Let i = a + 34. Calculate w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and 177.\nAnswer: 177.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 2*n**2 + n. Let c be o(-1). Suppose 360 = 3*k + c*k. Calculate the remainder when k is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 180682 = -c, -u + 3*c = 4*c - 60226. List the prime factors of u.\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.04, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-9.9\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 2*f)*(-3 + 5 + 0)*(580 - 940 - 2380).\nAnswer: -5480*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977018.996 rounded to the nearest 10000?\nAnswer: 1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -54.99999885. Round d to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -931?\nAnswer: 4\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33057178 rounded to 3 decimal places?\nAnswer: -1.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099533.\nAnswer: 331, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 5, c: 1, m: 3, g: 3, a: 5}. What is prob of sequence aecg?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:06 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbxbuxcubxxxxcxcxxxb. Give prob of picking 1 x and 2 b.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.9, 0, 2 in descending order.\nAnswer: 19.9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/6 + 2\/(-4). Suppose -h + 100 = k*g, 0*g + h = 2*g - 108. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9 - 3*g + 1 - g**2 - 3. Let k be t(-5). What is the units digit of k\/2*(-120)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 436 - 15976*i + 15966*i + 340. Is n(0) a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 63119*o + 2524763. Determine r(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + h**2 - 26 - 22 + 122.\nAnswer: h**2 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109 - b9765?\nAnswer: -b9658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63036062 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: Let z(j) = 5*j + 5. Suppose -2*m + 0*m + 8 = -2*x, 2*x = -5*m - 22. Determine z(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (275\/((-3281850)\/(-1836)))\/((-4)\/130*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 10*g - 4. Let w be ((-5)\/4)\/(24\/(-192)). Determine u(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 32*c**2 + 62*c + 53. Let m be 112\/(4 - -12) + -37. Give a(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 729.5052ml?\nAnswer: 0.7295052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98616 - -12384. Round f to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117272848 by 28.\nAnswer: -4188316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12125143, 12125149, 12125155?\n\"Answer: 6*o + 12125137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - f = -2, -955*g + 958*g - 2*f = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28774, -56886, -84998, -113110, -141222, -169334?\nAnswer: -197446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -28. Let n(f) = -f**3 + 6*f**2 + 8*f + 5. Is n(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9021431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**3 + 4*o**3 + 2 + o + 5*o**3 - 3*o**3 + 0*o**3 - 11*o**2. What is r(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**5 + 18\/5*o**4 + 288\/5*o + 312\/5*o**2 + 116\/5*o**3 + 0.\nAnswer: o*(o + 2)*(o + 4)*(o + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 325*i**2 - 3*i - 3. Let g be y(-1). Let n = g + -198. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*s**2 + 11*s**2 + 30*s**4 - 12*s**4 + 7*s**4 wrt s?\nAnswer: 600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 4*k**2 - k + 1. Let j be c(-4). Suppose -5*b - 7*b = -j*b. Suppose 20 = 5*i - 5*x, -2*x + b = 10. Which is smaller: i or -1\/38?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1157 - 1154 - (-1 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 232*a**2 + 2685*a - 86. Give x(11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -127, -199, -271?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8239.722 kilometers?\nAnswer: 8239722000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 - 4 = -5*t, 4*q + 4*t + 16 = 0. Let n be (4\/(-15))\/(q\/(-9)). What is the closest to -1 in 0.2, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -4*s - 2*w, -31*s - 29*s + 5*w + 161 = -178 + 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1685 + 26957\/5055. Determine o, given that -2\/3*o**5 + 136\/9*o**2 - 124\/9*o**3 + 46\/9*o**4 - l*o + 0 = 0.\nAnswer: 0, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -335261*i - i**2 + 335261*i - 1324 in the form t + b*i**2 + h*i and give t.\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/5 - 13510166*n**2\/5 - 2702036*n + 81061008\/5 = 0. Calculate n.\nAnswer: -3, 2, 6755084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2203.97 to the nearest ten.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7000000*x. Let u be y(4). What is u rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m**(-22)\/m))\/m)\/m*m)\/m)**17\/(m*(m*m**(1\/7))\/m)**29 assuming m is positive.\nAnswer: m**(2386\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21 + -21 - (1 + (-45)\/51). What is the second smallest value in 15\/7, i, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 12*l**4 - 16*l**3 + 12*l**2 + 14*l.\nAnswer: 2*l*(l - 7)*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/2, -3, -0.18, 186, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v + 50. Let o = v + -22. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51047 is divided by 8507.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4))**(-17))**4 assuming n is positive.\nAnswer: n**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97410 is divided by 12130?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -343*n**3 - 12*n**2 + 6*n - 20. Let d(k) = -343*k**3 - 10*k**2 + 5*k - 19. Let c(h) = -6*d(h) + 5*v(h). Differentiate c(o) with respect to o.\nAnswer: 1029*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127469 = 36*h + 5*h. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 443 - 9b68?\nAnswer: -9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -102. Let x = 12 + -7. Which is the nearest to m? (a) -4 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4283*a**3 + 32*a**2 - 12*a + 1 wrt a.\nAnswer: -25698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 605 + -404. Let q = o - 199. Solve f - j = q*f + 3, -5*j = -3*f + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1725275, 8 in ascending order.\nAnswer: 1, 8, 1725275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*b + 4*b - 6, 5*b = 2*s + 16. Suppose 0 = 4*v - s*v + 2*f - 12, -5*f = v + 2. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 15 - 26*h)*(0 - 2 - 2) to the form x + j*h and give j.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 50138084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*152.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 6:08 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167082.\nAnswer: 2, 7, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-174))\/((-198)\/(9009\/91))?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 67, 86, 109, 136, 167, 202?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37044.49ug in milligrams?\nAnswer: 37.04449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:40 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*g = -3*i + 213, -5*g + 639 = 3*i. Find f such that i*f**3 + 3*f**4 - 4*f**2 - 7*f**4 - 205*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 0 + (17 - 55 - -33)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/9 (c) 4\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2934*z - 836*z = -94410 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {o: 1, v: 1, t: 1, d: 3, n: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2*j + 65 = 5*b + 36, j = -5*b + 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25462 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-36)\/2646). Let j = c - -604. What are the prime factors of j?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73548.2l to millilitres.\nAnswer: 73548200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**3 - 3*m**4 - 7*m**3)*(0*m + 8*m + 2*m).\nAnswer: -30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + (-425)\/(-153). Suppose s = 3*t + 106199998, s + 177000008 = -5*t - v*s. Round t to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 4 + -4 - 6) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 - 3*k**2 + 3*k**2)*(1 - 2 + 3)*(-2 - 3*k + 5*k + k) in the form z + n*k + o*k**3 + p*k**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-19))\/((-1764)\/(-11172)). Solve 25 = 5*b, -26 = w*z + 3*b - 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**3 + 25*l**2 + 39*l + 14. What is a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c8b95 (base 13) to base 3.\nAnswer: -2002010121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -198, -536, -1102, -1950, -3134, -4708?\n\"Answer: -9*j**3 - 33*j**2 - 2*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from mthqhiz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 109*u - 1625. Determine i(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - 31 = 0. Let i = 41 + o. Calculate the remainder when 18 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(39\/285)*8\/20*-1\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 221302 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/32 and -151\/4416?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*w + 0*w - 72 = 0, 4*w - 16 = 0. Suppose 0*u - 3*u = l - t, -2*u + 4*l + 34 = 0. What is the remainder when 12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4434.948ng to grams.\nAnswer: 0.000004434948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8 + 3 - 10 - 8*z. Let b = -31 - -16. Let w be r(b). What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*i - 8*i. Solve -s - 16 = 3*j - i, 3*j = -2*s - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, a: 1, c: 1, w: 1}. What is prob of sequence cw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-6*b + 2*b + 3*b)*(788*b**2 - 796*b**2 + b - 390*b**2 - 4350*b**2).\nAnswer: 9496*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 3*j**4\/4 + 14*j. Let n(o) = o**2. Calculate n(s(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 2*k - 4*k)*(9*k**3 - 9*k**3 - 6*k**4) + 2*k**4 - 2*k**5 - 2*k**4.\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c**3 - 7*c**2 + 6*c - 6. Let s(m) = m**3 + m**2 - m + 1. Let g(u) = u**3 + 25*u**2 + 67*u + 1033. Let x be g(-24). What is x*z(p) + 6*s(p)?\nAnswer: -18*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4637\/30 + 470\/3. Find the common denominator of 67\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910323685.\nAnswer: 5, 59, 3085843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3914 and 2254730?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69770589*s**4 + 27660346*s**2?\nAnswer: -1674494136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*x + 462. Let o = -75 - x. Suppose o*b - 4 = 0, 10*d - 6*d = -3*b + 110. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:42 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.33754246 to one dp.\nAnswer: 52.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -331 + -2?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5404 and -0.5.\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25989598 is divided by 523.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 9 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4913*j**4\/4 - 7488279*j**3\/2 + 1321359*j**2 - 155450*j + 6096 = 0. Calculate j.\nAnswer: 2\/17, 3048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 - 12*t + 13. Does 28 divide w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3\/(-2) - (0 - (-11046)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-18)\/(-30))\/((-4)\/(-20)) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39652663 + 41.7.\nAnswer: -39652621.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - 3.7. Which is the third biggest value? (a) i (b) 2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -32. Calculate the least common multiple of ((-3)\/6)\/(n\/(-324)) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4 - 12*u - 4. Let g(j) = 2*j**2 - j - 3. Let r(k) = -2*k**2 + 2*k + 6. Let v(p) = 2*g(p) + r(p). What is v(w(b))?\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x - 6 = 3*j, -3*x + 13 = 2*j. Suppose 6 = 2*u - j. Sort 2, u, 3 in increasing order.\nAnswer: 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (14 + -6 - 1 - 2)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 32*t**2 - 31*t + 163. Is l(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/7, 6311, 69.\nAnswer: -3, 4\/7, 69, 6311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2274 + -0.227431204. What is s rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100252 is divided by 551?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 1. Let x be o(9). Suppose -11*b - 891 = -5709. Suppose 0 = -2*a + b - 132. Calculate the greatest common factor of x and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + v + 3 = 0, 0 = -3*u + 3499*v - 3500*v - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 2. Let x be i(6). Let a = x + -8. Solve 2*v + 3 = l, l + l + a*v = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-5))\/(-2)*1475\/(-885)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 64*u + 1. Let y(w) = -w**2. Give y(z(x)).\nAnswer: -4096*x**2 - 128*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536 divided by 768.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - f**2 + 0*f**2. Let c(z) = -3*z - z + 7*z. What is c(n(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 5*s**2 + 8*s - 46 + 44. Let g(c) = -3*c**2 + 4*c - 1. Let q(i) = -11*g(i) + 6*p(i). Let a be q(2). Solve 2*u + 10 = a*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-12) - 3\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(3003\/(-44)))\/(9\/(-21))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8658*p**2 + 264*p - 528. What are the prime factors of f(2)?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/(-22)*(-4)\/(-6). Let g be ((-12)\/20)\/(k\/(-30)). Let j(i) = -i**3 - 6*i**2 - 2*i + 1. Determine j(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -1 - 3. Let r(j) = -35*j - 1. Let u be r(k). Suppose 17*g - 440 - 1005 = 0. Calculate the highest common factor of u and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*b + 181 = -101*b - 130 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - j + 219 = 0, -318 = -3*f + 263*j - 261*j. Solve 16*z - f = -11*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 77 + 623*g**2 - 41.\nAnswer: 623*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2218861*f**2*s**2 - 2*f**2*s + f**2 + 513*f*s**2 + 1238*f wrt f.\nAnswer: -4437722*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 22 + 64 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/3 + 38*i**4\/3 + 128*i**3\/3 + 88*i**2\/3 = 0 for i.\nAnswer: -2, -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-five halves of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 17*l - 2 - 6*l**3 - 18*l to the form z*l**3 + g + i*l**2 + r*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2784 and 47712?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = j - 2, -40244*j + 40239*j - 8 = 4*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1\/4 (b) 124 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -124*j. Let a be c(4). Let x = -1506 + a. Let n = 16091\/8 + x. Calculate the common denominator of n and -31\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**6)*f**(-4\/7))**(-2\/29)\/(((f*f**3*f)\/(f\/((f**(-4\/9)*f)\/f)*f))\/((f*f\/f**(-3\/8))\/((f*f*f**(-1\/7))\/f))) assuming f is positive.\nAnswer: f**(-20639\/14616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147)*1 - sqrt(147))*-1 + -3)**2 - ((sqrt(81)\/sqrt(48) + 0)*1)**2.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcxs when four letters picked without replacement from sdlcycx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/49*(-154)\/12. Let a = i + -59\/6. Let w = 265 - 262. What is the third smallest value in w, -5, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2, -38 in decreasing order.\nAnswer: 5, 1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 2*g - g, 3*g - 6 = 0. Suppose -2*p = -7*p + 25. Calculate the least common multiple of o and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -10397.077.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*j + 229*j + 204*j)*(-13 + 13 + 8*j) to the form v*j + k + y*j**2 and give y.\nAnswer: 2888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17625\/17 or -0.05?\nAnswer: 17625\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075025697 + -7066760.\nAnswer: -7066760.075025697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -145, -144, -143?\n\"Answer: u - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -37646.5515?\nAnswer: -37651.5515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 + 141. Suppose j - t*k - 327 = 0, -5*j - 3*k + 412 = -1275. What are the prime factors of j?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojhio. What is prob of picking 1 i and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/54*(-99)\/1056*8?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from shsjsssssbjgbs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k - 3*k)*(2*k**2 - 3*k**3 - 2*k**2)*(6*k + 6*k - k).\nAnswer: 33*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4519, -9037, -13553, -18067?\n\"Answer: q**2 - 4521*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13523443?\nAnswer: 199, 67957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*((sqrt(44)\/(-5*sqrt(64)))**2 - ((sqrt(396) - (1 + sqrt(396))) + 0)**2).\nAnswer: -433\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 + 5*p**2 + 4*p - 2*p**2 - 3. Let d be x(1). List the prime factors of (-8 + 54)*(d + (-3)\/(-2)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -21*x**3 - 3*x**2 + x + 2. What is the remainder when 4 + -5 - (-54 + -1) is divided by q(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4231956348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.73 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11921.1183s to weeks.\nAnswer: 0.01971084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18116 - -0.18116. Let m = -0.6 - -0.8. Sort 1.64, t, m in decreasing order.\nAnswer: 1.64, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 4*k + k + (9 + 1 + 1)*(2*k + 0 + 0) + 29*k - 56*k + 23*k)*(2*k + 2*k - 5*k) as r*k**2 + d + s*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*i**5 - 241*i**4 - 25190*i**2 wrt i?\nAnswer: -2880*i**2 - 5784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75112\/12 + -2 + 24\/9. Suppose -w + 6262 = 6*s - 3*s, -t = -w - s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1201553 or -1201561?\nAnswer: -1201561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 2*c**2 + 2*c - 13. Let l(h) = -5*h + 30 + 11*h**3 + 10*h**3 - 12*h**3 + 5*h**2 - 5. Calculate 2*l(t) + 5*u(t).\nAnswer: -2*t**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 + 67581?\nAnswer: 67526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843085, -843030, -842973, -842914, -842853, -842790?\nAnswer: -842725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*f**2*r + 70*f**2 + 15*f - 68*r - 2 with respect to r.\nAnswer: 46*f**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuzwuwqwggg. What is prob of sequence gwgq?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u - u + 6 - 12*u - 10*u.\nAnswer: -11*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 333759168 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1202514 - 3?\nAnswer: 1202511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68113120 by 740360.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*u + 16*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4536*u**3 - 250 wrt u.\nAnswer: -13608*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/24 + 2*f**3\/3 - 2*f**2. Let l be (-2)\/(-1 - -3) - (-6 + -1). Determine g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + -1*sqrt(132))*-2)\/(1*sqrt(588)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578822005 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 18530994\nAnswer: 4\/9265497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11332, -22573, -33814, -45055, -56296, -67537?\n\"Answer: -11241*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64405.53 years to months.\nAnswer: 772866.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*k + 19, k - 1202*f + 2398*f - 1200*f + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, q: 4, p: 2, k: 2, f: 2}. Give prob of sequence qqf.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41*-12*(-2)\/4. Let d(n) = 2*n + 1. What is the remainder when ((-1)\/(-2))\/(3\/v) is divided by d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07031959907 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -223446 (base 7) in base 6?\nAnswer: -503403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(2 + sqrt(720)) - 2*(sqrt(720) - 1*sqrt(720))**2) + 4)*1.\nAnswer: -72*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*g - 12 = 0, 4*g + 12 - 5 = f. Which is the third biggest value? (a) 0.1 (b) f (c) -5\/4 (d) 1\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565 - 786066.\nAnswer: -785501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1 - (2 + -13). Let d = -24 + 52. Suppose -t = -3*z + d. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o. Suppose -26 = -3*w + d, o*w - 4 = -w - 2*d. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 259*v - 15621. Calculate o(98).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 13379 + 233091 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x - 53 + 200 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 + 0 + 6 + 3*u.\nAnswer: 3*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 4*z - 15390 = 0. Are -2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170 + 13119 = -693*f - 606*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/18659 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10303131 to the nearest integer?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/66)\/(595\/(-385))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + 77*i**2 + 164*i - 1367. What is s(10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 193094 to the nearest 1000.\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y*y*y\/y**5*y\/y**21*y**(2\/11))**(-2) assuming y is positive.\nAnswer: y**(260\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3223 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3405183764?\nAnswer: 2, 23, 5351, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-70)*((-154)\/16)\/11.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-56)\/(-80) + -2)\/(24\/(-160)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 771530?\nAnswer: -1\/154306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-4*(-2)\/(-8). Let o be 4 - ((-1)\/((-4)\/8) - z). Solve -3*y = y + 5*p - 25, -y - p + 6 = o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 1774 = -619. Calculate the greatest common divisor of o and 1995.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 10*i - 5*i)*(0*i + 2*i - i - i + 3*i - 4*i + (0*i + 2*i - 4*i)*(-4 + 6 + 0) - i + i - i - i - 15*i + 10*i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000737565802 to 5 decimal places.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 548 + -267. What are the prime factors of h?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + m**2 + 5*m + 4. Let j(v) = 12*v - 293. Let n be j(24). Let l(q) = -8*q**3 - q**2 - 6*q - 5. What is n*l(a) - 6*x(a)?\nAnswer: -2*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/22 + (-62)\/(-22). Suppose -q*w = -5*b - 242, -4*w + 4*b + 29 + 299 = 0. Suppose -5*m + 50 = -10. Calculate the highest common divisor of m and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485 by -5.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 8 - 8)*(2618 + 241*m + 2616 - 5225).\nAnswer: 964*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 46. Let m = a + -5. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359863075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82205 + -82205. Let d = 1.3 + -0.3. Which is the closest to -2\/5? (a) h (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12871 is divided by 12813?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + 9. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + ((sqrt(304)*3 + sqrt(304))**2*3 - sqrt(304)) - -4*(sqrt(304)*-3 - sqrt(304)).\nAnswer: -64*sqrt(19) + 14592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729455.\nAnswer: 5, 83, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 + 2. Let a(r) = 8*r**2 + r + 1. Let g(p) = 4*a(p) - 3*l(p). Let t be g(-1). Solve s + t + 0 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**6\/180 + o**5\/40 - 4*o**3\/3 - 2. Let f(m) be the third derivative of l(m). Find the second derivative of f(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1392*k + 853. Let g(z) = -2782*z - 1705. Let d(x) = 2*g(x) + 5*q(x). What is the first derivative of d(i) wrt i?\nAnswer: 1396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w - 1. Let u(i) = -2*i**3 + 7*i**2 - 11*i - 6. Let s(n) = -u(n) + 6*v(n). Let b(a) = -3*a**3 + 2*a**2 - 8*a. What is -5*b(j) - 8*s(j)?\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -3 - 3 - -609. Let o = 2453\/4 - j. Calculate the common denominator of o and 71\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -184, -276?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142358509 - -142358514.9999961. Let r = -112 + 106. Let v = o + r. What is v rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/60)\/(((-45153)\/4325)\/(-87)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Let v(z) = -z**3 - 56*z**2 - 3*z + 88. Let r be v(-56). What is the highest common factor of r and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 3*z - 14. Let t be -3*(-2 + (3 - 0)). Suppose 0 = -p - 1 + 2. Let i(l) = -p - 4 - l**2 + 3*l - l - l. Give t*c(y) + 8*i(y).\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2*(-3)\/12*2. Solve 4*c + s = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(10\/12 + -1). Let w be 2 + c\/4 + 3. Solve -5*p - b + 2 = 0, 5*p + 5 + w = -4*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*-2*0. Suppose 4*j - 10*j + 360 = d. Suppose 0 = 5*w - 2*l - 60, 4*w + w - 5*l - j = 0. Calculate the smallest common multiple of 16 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 7*b**3 + 3*b**3)*(1052*b + 178*b**2 - 1052*b) - 2*b**4 + 2*b**4 + 2*b**5.\nAnswer: 1604*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x**5 - 13917*x**4 - 174015*x**3 - 328263*x**2 - 190344*x - 22140 = 0.\nAnswer: -10, -1, -2\/13, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 19*k**2 - 3*k**2 + 13*k**2 - 8*k**2 + 1. Let b be ((-4 - -4) + -1)*2. What is the units digit of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1841 (b) 508 (c) 2\/3 (d) 1 (e) -2 (f) -4 (g) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 10044462.\nAnswer: -3013338.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5410?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 175*h**4 + 37*h*v**3 + 2143*v**3 - 6*v wrt h?\nAnswer: 700*h**3 + 37*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*3\/30*5. Let g be -1*(-3 - f)*1\/1. What is the closest to -2 in 0.05, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 5, w: 1, y: 2}. What is prob of sequence swd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/6)\/(5\/45). Let b = -22 + l. Solve 3*m + b*m = -n + 19, -18 = -5*m - 2*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/1510 - -57007\/6795. Find the common denominator of -41\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 10. Let q = y + 1. Let b be 2\/(-4) - q\/(-4). What is the highest common divisor of 9 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*((-2)\/2 - (1 + (-221)\/102)). What is the biggest value in 0.32, -0.5, -2\/21, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = -2*h. Suppose -36*n - 83 = -947. Is 10 a factor of (-10)\/h*n\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 16, x: 2}. What is prob of sequence ixx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 35 (b) -0.2 (c) -2\/5 (d) -4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414499522 to the nearest integer?\nAnswer: 20359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 286787 and 286787 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 4*x + 2. Let j(h) be the third derivative of -1\/60*h**5 + 0 - 1\/8*h**4 + 0*h - 5*h**2 + 1\/6*h**3. Determine 3*j(o) - 2*q(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p + 19*p + 26*p + 29*p - 99*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - -0.025. Let j = 64.499 - 63.9. Let k = f + j. What is k rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/116989482 and -68\/12840309.\nAnswer: 1052905338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1402609.5 nanoseconds to minutes.\nAnswer: 0.000023376825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, i: 4}. Give prob of sequence idid.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31.3 in 0.3, 1, 2\/7, 2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 30*o - 1713. Is g(47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 32102411004?\nAnswer: 32102411010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.92 - 0.28. Let c = -2 - v. Let m = 0.2045 - c. Round m to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-415)\/(-60))\/((-3)\/(-12)). Let h = w - 27. Let f = 1 - -4. Which is the nearest to 1? (a) h (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 16 = -17*m. Solve -5*h - 7*j - 7 = -6*j, m*h + 4*j + 12 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**3 - 24*u**2 + 146*u + 14. Let i(t) = 4*t**3 - 7*t**2 + 49*t + 4. Determine -7*i(j) + 2*w(j).\nAnswer: -2*j**3 + j**2 - 51*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 459*j**2 - 290091*j\/8 + 237\/8 = 0?\nAnswer: 1\/1224, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-481.74.\nAnswer: -5299.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h - 12. Suppose 2*r - u = 4*r - 11, 3*u + 16 = r. What is the least common multiple of f(3) and (-1)\/(r\/(-2)) + 99\/21?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*k*o**2*v + 168*f*k*o*v + 24*f*k - 181*f*o**2*v + 2*f*o**2 - 5*f*o - 2*v wrt k.\nAnswer: -f*o**2*v + 168*f*o*v + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31280.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26520 + -23880. What is the least common multiple of c and 12?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24126 + -15182. What is the greatest common divisor of m and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1667*p**2 + 5*p + 15. Let x(f) = -5*f + 128. Let q be x(26). Is z(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -40. Let i(w) = w - 2. What is i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 36.5. What is the second smallest value in p, -3\/7, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Let x be (4\/(-3))\/(s\/(-6)). Let l = 4 + x. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3762323\/30 + 125409. Let z = 152\/67 - -4018\/1005. Calculate the common denominator of z and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {f: 1, h: 2, z: 2, o: 4, u: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18360 - -9907. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**16*w)**5)**(-19) assuming w is positive.\nAnswer: w**(-1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-126))\/((319\/(-66) - -13) + -8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6394*c**2*g**3 + 4707*c**2*g*p**2 + 11*c*g**3*p**2 - c*g**3*p - 15*c*g**2*p**2 + c*g*p**2 - 23*g**2 + 8*g*p**2 + 27*p**2 wrt c?\nAnswer: 12788*g**3 + 9414*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1 + 9))\/(3168\/8448).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17*o - 63. Calculate the remainder when 38 is divided by b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = k - 5*x, -3*k - 4*x - 128 = -7*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 62*q**2 - 135*q - 436. What is t(-64)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6205 < -6231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 43\/(-130) + 1\/2. Let x = -2\/1849 - -3828\/120185. Let f = t + x. Which is the third biggest value? (a) 2\/11 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -187, -1\/2, 0.7, 1\/2730?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = -2*w + 2160. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 66*n**2 - 1061*n - 38. Is k(32) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 221807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 2) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119298.\nAnswer: 2, 3, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 15*l**2 + 43*l - 29. Calculate i(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103140 a multiple of 913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20300 + -2?\nAnswer: 20254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b + 2. Let l(i) = 2*i**2 + 10*i - 6. Suppose 0 = w + 5*a + 12, w + 6*a + 3 = 10*a. Determine w*p(s) - 2*l(s).\nAnswer: 3*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/2 - 11*h**3 - 5*h**2 + 40*h - 38. What is the hundreds digit of k(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/5)*(((t*t**(7\/9))\/t)\/t)\/t)**(37\/2) assuming t is positive.\nAnswer: t**(-37\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {m: 14, i: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1060690556.879999704 + 1060690553. Let l = -3.88 - z. What is l rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -23\/3 (b) 5 (c) 5\/3 (d) 9 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 - 44*l + 120. Let w be s(3). Solve 0 = b + 2*p, -4*b + 2*b + 2*p - w = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2792278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -32021314?\nAnswer: -32021312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53627457 (base 8) to base 14.\nAnswer: 174bdcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(0 + 4 + 165\/(-44)). Solve 5 = -3*b + 4*b, -4*b = -4*p - z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6386 and 618?\nAnswer: 19158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10072 less than 6.02?\nAnswer: 10078.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 6:27 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119457 or -119458?\nAnswer: -119457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 840 + -854.12. Let m = y - -15. What is m rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 + 2*m. Let f be g(-2). Suppose f = -b + 4 - 2. Let j = -1.3 + 0.3. What is the biggest value in j, b, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217183640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/23 - 7\/23. Let j be 6\/21*(-8 - -15)*-1. Sort g, 5, j in descending order.\nAnswer: 5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7370216173 and -0.04442.\nAnswer: 7370216172.95558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*j + 23 + 31 - 54 to f*j + z and give f.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -12*k - 6. Differentiate 40543 + 10*i - 5*i**3 - 40461 + 0*i**k wrt i.\nAnswer: -15*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40435 (base 7) to base 5.\nAnswer: 303301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -243\/4. Let n = 0.2 + 0. What is the closest to n in p, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 11*f**2 - 3*f - 2. Let x(g) = g**3 - g**2 - 1. Let t(v) = -w(v) + 5*x(v). Does 7 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/10*2*175\/35.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 53, -14, 5, 29.75?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + r**2 + 2*r + 2. Let a be m(0). What is the hundreds digit of (-6)\/a - (-9 - (335 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*d**2 - 2*a**2*d + 1278*a**2 + 507*a*d**2 - a*d - 3*a + 1 wrt a.\nAnswer: 8*d**2 - 4*d + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -19*d - 1\/3*d**3 - 28\/5*d**5 - 9 + 0*d**2 + 0*d**4. Differentiate a(g) with respect to g.\nAnswer: -112*g**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 138.89652955.\nAnswer: -139.29652955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -14\/2539785 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*s - 10442, -5*s + 18486 = 4*f - 7605. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1)*2\/4. Let i be u*(-2 - -4 - 2). Let z(a) = a**2 + 8*a + 3. Let j be z(-8). Sort -3, i, j.\nAnswer: -3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2879952288?\nAnswer: 2, 3, 29999503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 - -6 - 25) - (-3 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6290.9 + -6291. Let w = -14 - -10. Which is the nearest to j? (a) w (b) -1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, w: 4, s: 1}. Give prob of picking 2 w and 2 r.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/21 + 3*b**4\/8 - 15*b**2. Find the second derivative of x(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413\/6 - -69. What is the nearest to 1 in a, -11, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/23 and 1 + -2 - ((-66)\/(-9) - 1).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 22*n - 54. Let p be h(-2). Solve p*x - 17 = -3*a, 3*a - 24 = 5*x - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*k + 6206*k**2 - 3*k - 6115*k**2 wrt k?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 2. Let h be n(-2). Suppose -h*z + 205 = 3*z. Suppose -2*d + 8 = 4*r, 7*d = 2*d - 3*r + z. What is the lowest common multiple of 4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 300 (b) 3\/8 (c) -5 (d) -1\/9 (e) 2.5 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112181056 is divided by 22436211.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(65)\/sqrt(5).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1997*p - 1171*p - 1911*p + 330135 = 0 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50973e7 + 5?\nAnswer: 50973ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7\/i*i**(-14))\/(i**6*i*i**(-8\/7)) assuming i is positive.\nAnswer: i**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000083603 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**5\/20 + n**4\/12 - 52*n**2. Let q(h) = -h + 0*h - 3*h**2 + 6*h**2. Calculate 2*d(j) + 3*q(j).\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 5:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/8, 0.3, -5, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -23*r**2\/2 + 3. Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.401 - -1.352. What is u rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064378.\nAnswer: 2, 719, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t**5 - 614*t**4\/11 - 2654*t**3\/11 + 11908*t**2\/11 + 28432*t\/11 + 640\/11 = 0.\nAnswer: -4, -2, -1\/44, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, -8, -0.1, -282?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108.74 - 0.74. Let s = -106 + i. Which is the nearest to 14? (a) 0 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 5 + 7*a - 2 - 9*a - 4 - 11*a to s + f*a**2 + m*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 2266?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:44 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 5*x. Suppose 2*c + 3*c - x*m - 20 = 0, -4*m + 12 = 3*c. Suppose -2*p = -2*a + 2, 2*p = p - 2*a - c. Sort -5, p, -1 in descending order.\nAnswer: -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*h**3 - 23*h**2 + 42*h**2 - 23*h**2)*(0 + 0 - h)*(2 - h - 2).\nAnswer: -49*h**5 - 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (662*s + 110*s + 86*s)*(s**3 + 0*s**3 + 0*s**3) + 5*s**2 - 3*s**2 - 7*s + 2*s**4 - 2 - 21*s to the form n*s + u*s**4 + y + m*s**3 + o*s**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -180, -317, -510, -777, -1136, -1605, -2202?\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*g - 244, 578 = 4*z - g + 90. What is the least common multiple of 14 and z?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 13*c**2 - 12*c + 60*c**3 - 63*c**3.\nAnswer: -3*c**3 - 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/63 and -4\/1407?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -284 + 229. Is -57 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 627, 389, 151, -87?\n\"Answer: -238*o + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 162*q = 157*q - 50, -5*p - 8*q = 2. Solve -4*k - 27 = 3*v, 4*v + p*k + 1 = -37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58782944 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlst when four letters picked without replacement from {o: 1, l: 1, t: 4, s: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -152 divided by -26\nAnswer: 76\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = p + 2, -p - 4*w = -0*w + 2. What is the biggest value in 4, 0.9, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4 - 11. Suppose -5*b + 37 = -t. Let w(a) = a**3 - 8*a**2 + 11. Let f be w(b). Solve -2*q - 5 = -y, f + 2 = -q + 4*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48004168 is divided by 571478?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -102*g + 69*g. Put -3, 5, g in increasing order.\nAnswer: -3, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 310772*g - 39309?\nAnswer: 310772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 = -10. Suppose 0 = m*c - 14*c - 1194. Is c a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**4 + 5*c**3 + 26*c**2 - 14*c + 12. Let d(x) = 10*x**4 + 45*x**3 + 235*x**2 - 125*x + 110. Let v(n) = 6*d(n) - 55*i(n). Factor v(s).\nAnswer: 5*s*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.60000064 + 1.6. What is h rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 7*i**2 - 72*i**2 - 20*i**2 + 15*i**2.\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 478*g + 18 = 474*g, b + 2*g - 1 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1869*h + 12150 = 957*h + 1062*h for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3698800 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615*g + 20 = 620*g - 2*o, -g + 4*o + 4 = 0. Which is the closest to 1? (a) 3.3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-0.07\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, -22, 4 in decreasing order.\nAnswer: 4, -6, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/121568 and 75\/749998?\nAnswer: 1571995808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000714602201 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*d**4 + 39*d**4 - 83*d**4 - 3*d**4 - d**4 + 3*d**4 + (-2*d**3 + 3*d**3 + d**3)*(d + 2*d - d) to f*d + j + k*d**3 + b*d**2 + n*d**4 and give n.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 525, 4, -724.\nAnswer: -724, 4, 5, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0 + -1 + 3)*-2 + -3 + 5 + sqrt(252) + 1 + 2)**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-9 + -1). Let j = 2207 + -2210. Put 1, z, j in decreasing order.\nAnswer: z, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 155bc?\nAnswer: -155b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8))\/(2\/16). Let i be 23\/4 + x\/(-24). Solve 4*s = -2*g + 18, -2*g = -i*g + s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 5*y**2 - 7*y - 5. Let o be g(-6). Suppose 22 = 5*l - u, -3*l + 18 = -2*u - u. Calculate the highest common divisor of o and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -133. Suppose r*y + 26 = 4*w, 4*w - 5*y - 24 - 17 = 0. Solve 4*g - 2*u = 0, w*u = 3*g + 10 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -538 - 15274c?\nAnswer: -152c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6358 - -19073\/3. What is the smallest value in -2, l, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q**3 - q**2 + 2*q - 1. Let m be v(1). Let l be 6\/m - (-2)\/5. Let w be (1 - 0)*(5 - 1). Solve l = -2*d + d - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k - 61. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2)*(-5)\/(-60)*6. Suppose c = -4*l + 3*k + 2225, -3 = -3*k + 4*k. Let f = l - 303. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 1 + 13*n**4 + 3*n**3 + n**3 + 3*n**2 - 14*n**4 as s + y*n + t*n**2 + q*n**4 + g*n**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -19*w + 135. Calculate m(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26486 + 26486.0311. Which is the nearest to -3? (a) y (b) 3\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 32*q**2 - 30*q + 26. Give d(-33).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - o)*(1 - 2 + 0) - 798*o + 400*o + 12 + 384*o.\nAnswer: -16*o + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -5, 2, 1, -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957270?\nAnswer: 2, 3, 5, 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b9 (base 14) in base 16?\nAnswer: -787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6415 + 21?\nAnswer: 6436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 - 104. Calculate the lowest common multiple of (4\/3)\/(-1)*(t - 114) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - 13\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 4, 8, -27 in decreasing order.\nAnswer: 8, 4, 1, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/90)\/((4\/(-18))\/(-1)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10246 - -10286. Calculate the highest common divisor of o and 7160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -26 - 55 - -30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 127\/2. Put 2\/9, -0.6, g in descending order.\nAnswer: g, 2\/9, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -2 - ((1*sqrt(35)\/sqrt(5) - sqrt(7))**2 + sqrt(7)).\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.5, -2\/9, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250376 to the power of 1\/2, to the nearest integer?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.12 + 10. Let m = k + 0.1147. What is m rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:51 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*s - 35, -3*s = -3*v + 27 - 48 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*b = -134, -308 = -4*j - 0*b - 4*b. Let v = j + -57. Solve 3*h - v = 0, h + 0*h = 2*w + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196093 is divided by 5602.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 + 3 = 0. Calculate the lowest common multiple of l and 1 + -1 - (-1 + -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 - 5*n + 5. Give x(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (6 + (-450)\/42). Let b(d) = -d**2 - d + 3. Give b(x).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5cac (base 14) in base 3?\nAnswer: 211020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(3))**2 - sqrt(5)) + -4.\nAnswer: -sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -149\/334 (b) -1\/2 (c) -3 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 2*a**2 - 2*a - 2. Suppose 9 = -4*y + l, 0 = 5*y - y + 2*l + 6. Let f be n(y). Solve -4*q = -7*q + 3, -q = f*v + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, 635.1, -4\/5.\nAnswer: -4\/5, -3\/19, 635.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/13)\/(k**(-16)\/k) assuming k is positive.\nAnswer: k**(227\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 8. Let i = -4 + x. Let b = 129 + -66. What is the highest common factor of i and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 440, 438, 436, 434, 432?\n\"Answer: -2*z + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(147) + 0)**2 - 5*(1*sqrt(1200))\/sqrt(4).\nAnswer: -36*sqrt(3) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(224\/(-35)))\/((-1)\/(-4)). Sort -1, g, -3, -4 in ascending order.\nAnswer: g, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -64 (b) 4 (c) -4 (d) 3\/5 (e) -8 (f) 2\/7 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6428336 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 18523 = -2*v, c + 2*v - 4*v - 2653 = 0. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54488864, 54488856, 54488836, 54488798, 54488736?\nAnswer: 54488644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 593325 - -4?\nAnswer: 593329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 1. Let q(m) = 12*m - 24. Let f(z) = q(z) + 4*u(z). Suppose f(r) = 0. Calculate r.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 5*i**3 - 52. Let x(s) = s**2. Give x(w(m)).\nAnswer: 225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388960416 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-12\/7))*w)\/w*w**(-32) assuming w is positive.\nAnswer: w**(-236\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194875819?\nAnswer: 194875819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 228519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201679384 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/3 + 163856*t\/3 + 109236 = 0. Calculate t.\nAnswer: -163854, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, f: 1}. Give prob of sequence ufuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*3\/2*(-1)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2141.771g?\nAnswer: 2141771000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -591 + 896. Let z = i - 302. Solve 5*x = 2*x - z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 27*h + f + 11 = 0, -4*f = -4*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/37, -8, 4\/7, -3\/2?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4 + 4 - 9 + y. Let j = -46 - -45. Let b(n) = -2*n + 1. Let m(r) = j*x(r) - b(r). Let v(p) = 5*p. Determine 4*m(s) - v(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-9))\/((-20)\/(-720)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1239*k**4 + 2*k**3 + k**2 - 32809*k.\nAnswer: -14868*k**2 + 12*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202628 and 10740?\nAnswer: 3039420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-290)\/(-60) - 4)*1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25844*c**2*n**2 + 11659*c**2 wrt n.\nAnswer: 51688*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -23*b**7\/210 + b**4\/8 - 4*b**2. Find the second derivative of x(t) wrt t.\nAnswer: -276*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - -3.96. Let w = -34312119.00000016 - -34312123. Let c = a - w. Round c to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2143477 in -4, 2\/11, -2\/5, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -1. Let k = w - -7. Suppose 5*m + 5 + 5 = k*s, -3*s = 3*m - 21. What is the remainder when 9 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5089166792?\nAnswer: 2, 15013, 42373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-188 + 0)*(-35)\/60*3. Let y be (4\/(-133))\/(94\/o). What is the second biggest value in y, 15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1171 - -84.1829. Let g = x + -84. Which is the nearest to 0.1? (a) -4 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j = 7126 - 6438 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01733*-0.1.\nAnswer: -0.001733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3721, -14926, -33609, -59776, -93433?\nAnswer: -134586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011221 (base 3) to base 8.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g**2 + 223*g - 739. Give a(-19).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17190+-6.237617087\nAnswer: 17183.762382913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -53*y - 1 + 5 + 4 + 9*y**2 + 40*y. Does 5 divide k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 900582327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 96 = -180. Which is the third biggest value? (a) q (b) 0.18 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 36*w + 39. Let u(d) = 91 + 15*d**2 - 326 - 310 + 505*d. Let j = 741 + -656. Let h(t) = j*r(t) + 6*u(t). Factor h(a).\nAnswer: 5*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13112.6*5.\nAnswer: -65563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 70.5. Which is the closest to -1\/8? (a) 5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = 0, 3*i - 9 = -0*i - a. Suppose -3*h + 29 = 5*u - 25, 0 = i*h - 5*u - 11. Solve 0 = 5*k + 38 - h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*a + 8 = 0, 3*l + 3*a - a = -4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*u**2 + 158*b**3*u - 208*b**2*u**3 - 2*b**2 wrt u.\nAnswer: -2*b**3 - 1248*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b - 3. Let p be y(1). Let j be (-2 - -1*(-2 - -2)) + 1. Let v be 0 + (1 - (p + j)). Solve 2*k - k - 2 = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1810 = -2*d - 3*l, -1813 = -d - 4*l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 13, 20, 12, -1.\nAnswer: -18, -1, 12, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86, -610, -2048, -4862, -9514?\n\"Answer: -77*g**3 + 5*g**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/169, 2\/9, -1\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 - 91. Let w = -93.9929 + a. What is w rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*b**4 + b**3 + 180*b**5 - 136 + 2*b**2 - 97*b**4 - b**3 - 192 wrt b.\nAnswer: 10800*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-7) - (-1892)\/77. Solve -n + 15 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14460*(0 - (2\/(-5) - 0)). Suppose -4*v - 4*n = -4636 - p, -2608 = -v + 2*n. Suppose 4*i + 1474 + v = 0. What is i rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2905, 3295, 3681, 4057, 4417?\n\"Answer: -u**3 + 4*u**2 + 385*u + 2517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19075902959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247 + 244. Let b be 1*(1 - 2\/6). What is the nearest to b in 0, -0.1, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106863 is divided by 282?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1102, -5130, -12086, -21970, -34782, -50522, -69190?\n\"Answer: -1464*g**2 + 364*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jook when four letters picked without replacement from {j: 1, k: 1, o: 4, a: 3, w: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 + -126?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5462.\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 252*v**2 + 101*v + 203. Is y(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 265.417.\nAnswer: 1857.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 323225316?\nAnswer: -323225314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (289\/(-442))\/(4\/(-308)). Let h = 21\/67 - -6725\/134. Let a = h - f. Is a greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -134, -916, -2172, -3872, -5986, -8484, -11336, -14512?\n\"Answer: 5*y**3 - 267*y**2 - 16*y + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8988, 9923, 10858, 11793, 12728?\n\"Answer: 935*d + 8053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 36*h**2 - 55816*h + 51949808. Let z(v) = 11*v**2 - 18606*v + 17316603. Let a(w) = 2*k(w) - 7*z(w). Factor a(p).\nAnswer: -5*(p - 1861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0.26 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071629 is divided by 630.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 4*f**2 + 79 + 18*f**3 - 18*f - 106 + 28*f**2.\nAnswer: 3*(f - 1)*(f + 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*f - 24, -f + 258 = -16*w + 230 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.119, 50, 66.\nAnswer: 0.119, 7, 50, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-1) + (-1)\/(2\/(-79)). Suppose -46*n - 36 = -47*n. Is n greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 8*n**2 + 9*n + 2. Let s be z(-9). Suppose -p - 2*i = -18, 13 = -s*p + 5*i + 4. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -715 + 1349. What are the prime factors of x?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -24 + 3\/2*n**2 + 45\/2*n = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -8. Let m = -2.1 - -1.1. Put z, 2\/9, m in descending order.\nAnswer: 2\/9, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, -11, -33, -55, -77?\n\"Answer: -22*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 867701 - 868485.9054. Let r = 785 + u. What is r rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vznhvhononzvvzoz. Give prob of sequence vvon.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3))**(-12)*(w*(w*((w**3*w)\/w)\/w)\/w)\/(w\/(w**(-1\/6)*w)))\/((w**0)**(-4\/9)*(w\/((w**(1\/11)*w)\/w))\/(w*w**(4\/3))) assuming w is positive.\nAnswer: w**(545\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 989 = 52*x. Suppose 51*d - 49*d + 5*n = x, 2*d - 40 = -4*n. Solve 3*y = -6, -2*t + y = -y - d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.141 and 0.31.\nAnswer: 0.04371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = 3*y - 237, -2*i - 6 = 0. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/522 and -53\/360.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 23 + 8 = 0. Let u(r) = 32*r - 2680. Calculate the remainder when l is divided by u(84).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i**5 - 79*i**4 + 471*i**3 - 881*i**2 + 484*i + 6. Let w(t) = 2*t**5 + t**4 + t**3 - t**2 - t + 1. Let j(k) = b(k) - 6*w(k). Factor j(y).\nAnswer: 5*y*(y - 7)**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 208758.\nAnswer: 835032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-5\/2)*k*k*k)\/k*k)\/((k\/k**(-2\/25))\/k)*((k**(1\/4)\/k)\/k)**(-17))**3 assuming k is positive.\nAnswer: k**(9651\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.8 - 28.2. Let f = d + 62. Let t = f - 23.3. What is t rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - (-137)\/516. Let h = l + 248\/645. Let j be ((-2)\/8)\/((-21)\/56). What is the closest to j in h, 1\/6, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-356)\/2937)\/((-8)\/1056).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -4\/31 (c) -0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-14)\/16*(-263)\/(-1841)*-15\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + g + 7. Suppose -n + q + 13 = 0, 2*n - 5*n - 2*q = -19. Suppose 3*v + 6 = -n. Let z(o) = o**3 - 3. Let r = -4 - -2. Give r*m(t) + v*z(t).\nAnswer: -t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -97. Suppose 26*f - 31*f - 756 = -4*l, f = 0. What is the highest common factor of r and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 11*l**8\/56 + l**4\/2 + 15*l. Find the third derivative of r(a) wrt a.\nAnswer: 1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -54*c**3 + 2*c**2 - 2*c + 4. Let l(v) = -v**3 + v**2. Let m be l(1). Let t be m - 1\/(3\/12). Let b be z(t). Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2275\/(-1001) + 6\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {a: 1, o: 4, d: 6, h: 7, p: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.249 times 25.6868\nAnswer: 6.3960132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 417027199 to the power of 1\/2, to the nearest integer?\nAnswer: 20421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2811, -5666, -8521?\nAnswer: -11376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 14551 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*s - 854*s + 2653 = 26845 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043825 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-121 - -90) - (1 - -29 - 0)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/11 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/13 - 26480*h**2\/13 - 113402506*h\/13 - 154886469052\/13.\nAnswer: -2*(h + 2894)*(h + 5173)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483703 - -1.6.\nAnswer: -483701.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58033689 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b**2. Let q(f) = -244*f + 119*f + 123*f. Give q(k(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6087.9+1\nAnswer: -6086.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172523986361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 85 + 76 - 243 + 82.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2*(-2)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1628*h**3 + 1623*h**3 + 91211 - 91212 - 3270*h**3.\nAnswer: -19*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 510 and 1.3.\nAnswer: 511.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = u + r - 92, -r = -u + 86. Let x = u - 83. Suppose -t = -5, -5*c + 2*t = 5*t - 70. What is the smallest common multiple of c and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 2*y - 38. Let d be g(-3). Sort -5, -0.25, d, -4\/5.\nAnswer: -5, -4\/5, -0.25, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(5\/3)\/r**(3\/5))\/(r**6)**(9\/8))**(-24) assuming r is positive.\nAnswer: r**(682\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((3*sqrt(27))\/sqrt(9) + sqrt(3)) + (3*sqrt(18)*4)**2.\nAnswer: sqrt(2)\/4 + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.0031\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151, 436, 391, -410, -2393, -5984?\n\"Answer: -71*h**3 + 261*h**2 - h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -18 (b) -2\/9 (c) -1\/5 (d) -2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0)\/((-6)\/8). Suppose -w*x + 4*n - 3159984 = 0, 4*x = -0*n + 3*n - 3159988. What is x rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11 = -4. Let m = -20320 - -20300. What is the third biggest value in -4, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8*t - 18 - 232 = -6*f, -3*f = -5*t - 199 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**3\/3 + 2*v**2 - v + 5. Let x be c(3). Let w(d) = 8*d**2 - 6*d**2 + d**3 + x - 1 - 3*d. Give w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 232157.\nAnswer: 9286.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 - 4235*j**3 + 87090*j**2 - 297700*j + 280840 = 0.\nAnswer: 2, 17, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4269184475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) - sqrt(162)) + -2*sqrt(2)*-2)**2 + -4.\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/15 - 12556*p**4\/15 - 206564*p**3\/5 - 746688*p**2\/5 + 644814*p\/5 + 683316 = 0. What is p?\nAnswer: -45, -3, 2, 6327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p. Let r(k) = 6236*k**2 - 7409. Give w(r(u)).\nAnswer: -56124*u**2 + 66681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 269*k - 264. What is a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*p - 1 + 403*p - 1558*p - 5.\nAnswer: -1347*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 22. Calculate the lowest common multiple of 30 and (u\/7)\/((-32)\/112).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6 - 0. Suppose 2*m + v*m = 15. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 549414113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 7. Let c be x(0). Let p be (5 - (4 + 4) - 1) + 9. Suppose -3*a + 17 = 4*n, 0*n = 2*n - 4. Solve -p*o = -a - c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8956575 and 149850.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u - 11*u + 71 + 4*u to the form d*u + i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b**4 + 3*b**3 - 6*b - 6. Let l(y) = -26*y**4 + 9*y**3 + y**2 - 17*y - 17. Suppose 4*c + 30 = -c. Let o(i) = c*l(i) + 17*x(i). Factor o(j).\nAnswer: 3*j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352562?\nAnswer: 2, 7, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 3*q + q)*(14669*q - 15681851 + 15681851) as m*q + i + p*q**2 and give p.\nAnswer: 29338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 591454091*i**5 + 383186822*i.\nAnswer: 11829081820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cidjjbi. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbcbnbbbnenonocobnn. Give prob of picking 1 n, 1 b, and 1 e.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -18*f**2 - 3\/16*f**4 - 1\/8*f**3 - 1\/16*f**5 + 0*f + 0. Factor p(b).\nAnswer: -3*(b + 1)*(5*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 16\/(-10) + 7 + 18224\/(-2010).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (151793\/(-68))\/((-5)\/60 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*42\/(-28)*(-1)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6 and -119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -1870bb6?\nAnswer: -1870bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -23205.\nAnswer: 1160.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 2\/37, -102510?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1507659, 6030682, 13569059, 24122796, 37691899, 54276374?\nAnswer: 73876227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3866266.66 to the nearest ten thousand.\nAnswer: 3870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0382 and 22328961.9?\nAnswer: 22328961.8618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d. Let l(g) be the third derivative of d*g**5 + 0 - 2\/105*g**7 + 0*g**6 + 0*g - 6*g**2 - 1\/3*g**3 + 0*g**4. Differentiate l(p) wrt p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) -1\/3 (b) -4\/9 (c) -762183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1708 = 5*g, -5*l = 4*g - 859 - 511. Calculate the greatest common factor of 272 and g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + q + 4. Let y(k) = 9*k**2 + 2*k - 71. Give -2*i(s) + y(s).\nAnswer: 5*s**2 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 5 + 5)*(192*z - 1140 + 1140) + 1 + 4*z**2 + 5 + 2 - 12.\nAnswer: -380*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1695, 6667, 14957, 26571, 41515?\nAnswer: 59795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 162423?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138.5 - -138.50006919. What is z rounded to six dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10296)\/27)\/(-26)*(-3)\/(-2). Solve -3*z - m = -8, 0 = -3*z + 4*m + m - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49784\/(-368046) - 4\/(-18).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3397658, -3397656, -3397654, -3397652?\nAnswer: -3397650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/3 + 62*o**3\/3 + 14*o**2 - 186*o - 180 = 0.\nAnswer: -30, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 30834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2169482*b*o - 4722973*b with respect to o.\nAnswer: -2169482*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*o - 1009 - 809 - 460 = 850 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.381042 hours?\nAnswer: 19371751200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50464112 and 1538540.\nAnswer: 252320560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1880\/277 - 266413\/16620. Let r = 112\/5 + u. Let x = -2.026 + 1.926. Is r equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 6 (c) -1.327 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let y(u) = -2*u**2 - 2*u + 2. Let f(p) = 3*p**2 + 5*p - 5. Let o(k) = 2*f(k) + 5*y(k). Calculate v(o(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4901 - -4878. Sort -5, i, 0.1, -16.\nAnswer: i, -16, -5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -14 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/150 + d**4\/30 + 8*d**3\/5 + 301*d**2. Suppose p(w) = 0. Calculate w.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s + 26*s**2 - 104*s + 38*s + 32*s - 27*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 445880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5686 - -0.4472. What is l rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 19. Let l be t(-4). Let c(w) = -w**2 + 10*w - 25. Let z be c(l). Factor 1\/2*q**2 + z + 1\/4*q - 1\/2*q**4 + 0*q**3 - 1\/4*q**5.\nAnswer: -q*(q - 1)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 458 and 0.19409?\nAnswer: 88.89322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:47 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -3.1. Let n = 0.4 + -0.4. What is the third biggest value in n, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3125 - -13?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -30. Suppose -863 = -q - 857. What is the lowest common multiple of q and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 26*d - 55. Calculate r(-14).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -8*s**3\/9 + 111898*s**2\/9 + 531706*s\/9 - 46640\/3 = 0?\nAnswer: -5, 1\/4, 13992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:18 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -31*s + 201. Let q be m(5). Which is smaller: 17 or q?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2575*d*p**6 + d*p - 8*d + 12*p**2 wrt p?\nAnswer: -309000*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 215 = -4*a - 13*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -8.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-14)\/6*-6)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -11)*(-2)\/18\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*a**2 + 4*a - 30*a**2 - 6 - 3*a)*(1 - 2 + 2) in the form p + w*a + i*a**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cb9 - 2b46?\nAnswer: -4910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/49155?\nAnswer: 17\/49155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13283, -13241, -13209, -13187, -13175?\nAnswer: -13173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v - 79*v + 786 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h + 7. Suppose 5*y = 2 + 3. Suppose 13 = -4*t + t - 5*i, t + y = -5*i. Is k(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y - 2. Determine w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65805\/4 + -16548. Let k = -97 - m. Is -0.24 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181557, 363113, 544673, 726243, 907829, 1089437, 1271073?\nAnswer: 1452743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10198 is divided by -23 - -23 - 1\/((-1)\/136)?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 0 + (-86)\/20 and (782\/(-680))\/(21\/25)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 172 + 84*b**3 - 105*b**3 + 3*b**2 + 11*b**3 + 5*b**3 in the form c*b**2 + l*b**3 + j*b + y and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/12*4*(-23)\/92*(-84)\/(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2180334682*j + 1633*j**3 - 2180334682*j.\nAnswer: 1633*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 114963.06 to the nearest 100.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-65) - -957*(-26)\/507.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10522 + 23608 = 1858*h - 43717 - 6369 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226170 - -1?\nAnswer: -226168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*g**3 - 361*g**3 - 140*g**3.\nAnswer: -347*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-18 - 555\/(-30)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 13 = -a, -3*l - 7587 = -2*a - 7561 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2020\/(-40))\/((-1)\/86) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 2*o**2 + 7*o**3 + 9*o**3 - 13*o**4 - 2 - 34*o**3 + 17*o**3 as h*o**3 + i*o**2 + c*o**4 + z*o + w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-3192))\/((-28)\/8)?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(-34)\/(-102).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 12795*m + 12796*m + 16, -16*w + 4*m = 4*w - 68 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 12. Suppose -y*z = -0*f + f - 12, -z + 11 = -2*f. Let k be f - (4 - (3 + -2)). Let w(m) = 2*m + 6. Let c(b) = -1. Give k*c(v) - w(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 15*a + 7*a - 5*a + 2*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 5*f - 1. Let d(w) = 8*w**3 - w**2 + 15*w - 4. Let u(z) = -4*d(z) + 11*q(z). Let p be u(-5). Which is smaller: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o - 189. Let n = o + 102. Let i = n - 28. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 15*y**2 + 3*y**2 - 3*y - 17*y**2 + 46*y**3 - 2*y**2. Let r(z) = 45*z**3 + 4*z**2 - 4*z. Calculate 3*r(h) - 4*x(h).\nAnswer: -49*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-54))\/(22\/(-66))*6\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n**3 - 3*n**2 + n + 2. Determine u(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.8 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726948*x**3 - 181740*x**3 - 181718*x**3 - 181735*x**3 - 181733*x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210657 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28\/9251 - -1097845\/999108. What is the common denominator of y and -89\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**3\/3 - 9*i**2\/2 - 10*i + 2350. Calculate v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Calculate the remainder when q(-2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from qqiqpqpiqqtqiqit?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*o - 122*o + 8827 - 68729 = 429*o for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + b**4 + 10*b - 7*b - 9*b + (-4*b**2 + 4*b**2 + 2*b**2)*(-b**3 + b**3 - b**3).\nAnswer: -5*b**5 + b**4 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 655 - 639. Solve -28 = -i*o + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0 = g + 12, 0 = -5*n + 5*g + 15. Suppose -4*s = 3*h - 8224, -7*h - 4090 = -2*s - n*h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 3*j + 6240 = -4*j. Calculate the remainder when 187 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-8 + 0 - -9). Let l be 2 + 1 + (2 - 3). Sort 3, m, l, 0 in ascending order.\nAnswer: m, 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4570 and 80.\nAnswer: 36560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -24*c + 39. Let n(i) = -11*i + 18. Let p(g) = -6*h(g) + 13*n(g). Let b(t) = -2301*t**2. What is b(p(d))?\nAnswer: -2301*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*f - 28 = 0, -3*o = -0*o - 5*f + 19. Suppose o*q - 9 - 11 = 0. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r**2 + 3*r**2 + 5*r**2)*(-3 + 2 + 5)*(10 - 7*r - 10) in the form p*r**2 + w*r + j + m*r**3 and give m.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/3 + 3*u**2 - 5*u + 22. Give n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 1\/2, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(12\/13))**(-2\/13)\/((g*g**(-37)*g)\/g*g**(-34)))**(-2\/27) assuming g is positive.\nAnswer: g**(-23612\/4563)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x - 9. Let q be v(4). Let c(a) = 4*a - 10*a + a**q + 15*a - 4 - 8*a**2. Determine c(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 12*p - 45. Suppose 5*x - h = x + 269, 5*x - 325 = p*h. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*q + 14350 = 0, -q = 2*p + q - 5740. Round p to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -1.01\nAnswer: 1.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 - 33*n**2 + 63*n. Let k(m) = 2*m**3 - 16*m**2 + 28*m. Let p(x) = 5*k(x) - 2*u(x). Let o(r) = r**3 + r**2 - r. Give -28*o(t) - 2*p(t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p + 5 = 4*v, -v + 5 = -2*p. Let t = 2 - p. Let g(b) = 4*b + 105. Let r be g(-25). Solve -r*u = 0, 2 = -d - t*u - 0*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1356193660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 16) in base 13?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = 3*d + 1288, 1276 = -3*d - w. Let p = -2984\/7 - d. Which is the nearest to 1\/3? (a) -25 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2\/19, -1, -3\/5, -149\/4, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3059, 5942, 8873, 11876, 14975?\nAnswer: 18194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 30, -5 in increasing order.\nAnswer: -6, -5, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13865\/6 - -2318. Suppose -41749 = 5*y - 3529. Let g = 351605\/46 + y. What is the common denominator of g and s?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/30 + 2*r**3\/15 - r**2\/5 + r. Factor q(c).\nAnswer: -2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*h**3 + 1 - 36*h**3 - 3*h**2 + 83*h**3)*(2 + 0 - 3)*(-3*h + h - 3*h) - 2*h**4 - 3 + 3 to the form i*h**3 + w + r*h**2 + l*h**4 + b*h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 4*b)*(2*b - 3 + 3) + (5*b - 4*b - 3*b)*(b + 2*b - b) - 2*b**2 - 4*b**2 + 5*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Which is the biggest value? (a) 1 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h**2 - h + 1. Let o(k) = -k**2. Let s(j) = -2*l(j) + 22*o(j). Let p(q) = 6*q**2 + 3*q - 3. Let v be 3\/7 + 17100\/4788. What is v*p(m) - 6*s(m)?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**3\/3 + 1. Let x(o) = -28 - 2024*o + 985*o + 1046*o + 8. What is z(x(a))?\nAnswer: 49*a**2 - 280*a + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5385284.\nAnswer: 2, 19, 59, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = -71*u + u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-1862)\/(-6)))\/(-56*69\/(-13524))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 59. Let d = -34 - t. Factor 2*k**4 - 4*k**4 - 4*k**4 + 2*k**3 + d*k**3.\nAnswer: -2*k**3*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 522.847 to the nearest integer.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245309197?\nAnswer: 7, 59, 593969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418317006 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*d**2 + 3308*d + 408.\nAnswer: -4*(d - 17)*(49*d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((8 - 105\/14)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 78 = 0. Suppose 5*s - 3 - 2 = 0. Let p be (r\/8)\/(s\/(-4)). Solve -5*x + 2*m = -13, -p - 3 = -5*x - m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*b + 46892 = -43*b + 50212 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3474 and 36477?\nAnswer: 72954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*sqrt(405)*-4)**2 + (sqrt(405) - (-3 + sqrt(405))**2) + -4 + 0.\nAnswer: 63*sqrt(5) + 103265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 89.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -4*k. What is the common denominator of -2 - ((-57)\/4 - -2) and (15\/90)\/(k\/118)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246546, -986158, -2218844, -3944604, -6163438, -8875346?\nAnswer: -12080328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 123957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 4. Let h be (-3)\/6 - 2\/(-4). Let z be a(h). Suppose 7 = -3*y + z*y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 30, 44, 60, 78, 98, 120?\n\"Answer: i**2 + 9*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k + 5*k + 3*k**2 - 5*k**2 - 22*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -39*z + 2175. Let u be q(26). What is the greatest common factor of 516 and u?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27823986*x**6 - 1296*x**2 - 21*x + 42?\nAnswer: 3338878320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 326 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5950088?\nAnswer: 2, 701, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1179*u + 243716. Calculate n(-206).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2140623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -763\/5. Let q = 74 - 70. Suppose -k*c**q + 3\/5*c**2 + 1\/5*c**3 - 2\/5*c + 0 + 1\/5*c**5 = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59606.9595 to the nearest one hundred.\nAnswer: -59600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + (5 - 9) + 3 - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051437865 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27527, -220164, -743003, -1761128, -3439623, -5943572, -9438059, -14088168?\nAnswer: -20058983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.4. Let w = 33926 - 33925.5. Put w, 0.02, n in decreasing order.\nAnswer: w, n, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10005 and 3480360?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzldzqzz. What is prob of sequence dzq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:21 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53318, -53331, -53344, -53357, -53370?\n\"Answer: -13*q - 53305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 467776261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/89 in 0.4, 7\/18, 3?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let j(a) = -4 + 11*a + 4 - 13*a. Give j(l(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8 - (-143)\/44. Differentiate 7*n**4 + 5 - 9*n**t + 2 - 8*n**4 wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7842994.\nAnswer: 2, 3921497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 3*t + 35*t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40910500 and 25500?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6177 and 146189?\nAnswer: 438567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 2*t**3\/3 + t**2\/2 + 987*t. Let x(d) = -16*d - 4. What is -22*f(s) - 6*x(s)?\nAnswer: 8*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -368 (base 15) to base 9.\nAnswer: -1048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84636, 84584, 84532, 84480, 84428?\nAnswer: 84376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096846388 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*1 + (17 - 2970\/187)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 40, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Let n(w) = 6*w - 54. Let u(h) = -2*h + 20. Let p(t) = -3*n(t) - 8*u(t). What is -4*m(r) + 2*p(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 0. Suppose w = 3*m - 5*m + 4. Let z be 2\/(m\/2*4). Which is the closest to 0? (a) -0.1 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -18796566?\nAnswer: 1\/6265522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000041709 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -12) + -20 - (0 - 1) - (16 + -45).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.02 + -15. Let c = z - -1.98. What is the smallest value in c, 1.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 279 - 245.835048563.\nAnswer: 33.164951437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-510) + (-82)\/615?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730489622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18617 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkkk when four letters picked without replacement from {f: 5, k: 4, g: 1, d: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21907, -87444, -196673, -349594, -546207?\nAnswer: -786512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 50735 - 21610 = 0. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1050595192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*l**2 - 3*i**3*l - 5*i**2*l**2*y + i*l**2*y + i*l*y + 40*i wrt i?\nAnswer: 12*i*l**2 - 18*i*l - 10*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 28*z + 27*z = 7, 12*z = v + 63 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 220 = 4*t + 42, -5*t = -z - 221. What is the remainder when 118 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.6 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_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 i = 16 - 8. Let m be (-6)\/(-4) - (-4)\/i. Suppose -4*g + 79 - 7 = 0. Calculate the highest common factor of g and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {m: 2, t: 5, w: 2, r: 8}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -478\/5 - -96. Let r = 8 - -14. Let u = r - 19. Which is the smallest value? (a) o (b) 3\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -2\/5 (c) -3 (d) -10 (e) -0.2 (f) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*n**2 + 116392*d - 15075*n**3 with respect to n.\nAnswer: -6*d*n - 45225*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-144))\/(2\/36). Solve -t - w = 2*w - 1, 0 = -u*t - 5*w + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401298817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113\/226*(10 - 52 - (2 - 2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131043307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-32)\/(-480)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*k + 7, 0 = 3*f + 203*k - 202*k + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36301440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 29. Let y(r) be the first derivative of -r**3\/3 - 7*r**2\/2 - 4*r - 23. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let b(a) = -9*a + 7. What is p(b(y))?\nAnswer: 18*y - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13186*o**3 + 38*o + 4. Let c(s) = 26372*s**3 + 96*s + 10. Calculate 2*c(k) - 5*y(k).\nAnswer: -13186*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4214 and 97\/28.\nAnswer: 8428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 27. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3762*u + 3778*u - 7540*u - 12403*u**3.\nAnswer: -12403*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-7) + 1265\/(-35). Let d be 260\/(0 + 1) + u + 32. What is the greatest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29909281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49b - 7348?\nAnswer: -6b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -25.77, -1, -1\/6, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, -22\/7.\nAnswer: -22\/7, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*v = -6 + 28, 2*v + 8 = -3*w. Suppose 0 = -4*m + f + 254 - 15, 4*f = -3*m + 165. Is m\/w*(-4)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 205. Suppose -4*c = -8*c + m. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2568 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - ((-8)\/4 + 7). Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/15 - (-378)\/10. Suppose g - 17 = -c, -9*c + 5*g = -10*c + t. What is the smallest common multiple of c and 572?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7)*v)\/(v\/(v\/(v**(4\/9)*v)))*(v*(((v\/v**0)\/v*v*v)\/v)\/v)**(1\/33))\/((v**4)**(3\/14))**14 assuming v is positive.\nAnswer: v**(-1823\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + y + 22 = 0, -1 = -4*z - 3*y + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18979.14 tonnes in nanograms?\nAnswer: 18979140000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -28. Suppose -4*l = 5*m - 65, f = 3*l - 5*m - 1. Calculate the highest common divisor of 40 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/90 and -19 + 127464\/6048 - 2\/(-7).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 25. Let f be n(9). Let w(y) = 9*y**2 + 18*y + 6. Let c(p) = -11*p**2 - 17*p - 7. Let s(v) = f*w(v) - 6*c(v). Suppose s(k) = 0. Calculate k.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 2 + (-4 + 44 + 54)*(-1 + 3 + 1))*((0*c - 2*c + 0*c)*(-2 + 1 - 1) - 2 + 4 - 2*c + 1).\nAnswer: 554*c + 831","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0187262 from 912433.\nAnswer: 912432.9812738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 203. Does 17 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*z + 5. Suppose -z - 7 = -5*s + 5*i, -3 = -s + 2*i. What is the remainder when s is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 + 1 = 5*t, -4*y + t = -31. Let g be 1*y\/(3 + 1). Suppose 2*n = -5*u + 36, g*n - 18 = n - u. Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 230962?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, -0.7, 0.3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*v - 16, -4*w = w + 5*v. Let o(d) be the first derivative of w*d**2 - 3 + 0*d - 2\/3*d**3. Factor o(b).\nAnswer: -2*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*g - 15*g + 2*g**2 + (g - 3*g + 0*g)*(-g - 1 + 1).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14521 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 93. Suppose 2*k + 2*a + 510 = 7*k, -4*a = h*k - 332. Suppose 3*t = 3*n + 147, k = 3*t + 3*n - 61. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6 = t - 5*b, t - 2 = -2*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(85) - -2*sqrt(85) - sqrt(85))*4 - sqrt(85)) + sqrt(85))\/(sqrt(405)*2))**2 + (-2 + -5 + sqrt(17) + -3)**2 + 3 + 5.\nAnswer: -20*sqrt(17) + 10397\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/22 in 4158, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -80. Let b(w) = -w**3 - w**2. Let y(u) = 5*u**4 + 4*u**3 + 4*u**2 - 14*u. Let z(o) = s*y(o) - 4*b(o). What is the second derivative of z(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5362 divided by -2?\nAnswer: 2681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16279180 and 38380.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Suppose k*w = -w - 2*w. Solve -7*i + 2*i = w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54850988 and 137127470?\nAnswer: 274254940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z + 1. Let u(s) = -8*s**4 + 8*s**2 + 12*s - 156. Let p(o) = 6*q(o) + u(o). Differentiate p(h) wrt h.\nAnswer: -32*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 10\/37449277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 3, -19, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-10)\/(-9) + -1). Let b(y) = 2*y**3 - 17*y**2 + 38*y - 3. Let g be b(4). Solve -2*m + 0 = -5*w + q, -g*m = 3*w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2366 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 185*s + 12. Let p(c) = 184*c + 15. Calculate -6*i(a) + 5*p(a).\nAnswer: -190*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3076 and 94784633?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 21*t**2 + 14*t + 37. Give j(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.7 (b) 10 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204399.\nAnswer: 3, 13, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**3*r + 612*q**3 + 24382*r**2 - 6 wrt r?\nAnswer: -q**3 + 48764*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 5, -3 in increasing order.\nAnswer: -3, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -1, -18.\nAnswer: -18, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 43 = -m, -4*m - 4*y + 1758 = 1666 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -62039926 + 4*r**2 - 62039922 + 124079841. Let z(o) = 3 - 3 - 2*o**2. What is z(g(m))?\nAnswer: -32*m**4 + 112*m**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*v**2 + 2*v**3 + 682*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1092, 2215, 3328, 4425, 5500, 6547, 7560, 8533?\n\"Answer: -g**3 + g**2 + 1127*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and (39 + -27)*(-1 - -5)?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 20. Suppose d - 10 = -2*d + m*w, d + 3*w + 6 = 0. Suppose -v - 8215 = -2*l, 0 = 3*l - 3*v - d*v - 12330. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202002 (base 3) to base 13.\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:58 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/4 + 2*x**3\/3 - x**2\/2 - 23*x - 1. Let i be n(1). Let d = 8 + -5. Put i, 1, d in descending order.\nAnswer: d, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8281028.\nAnswer: 2, 7, 295751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmammaamz. Give prob of sequence am.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -260 - 14b?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 4 - 4)*(4*n**3 + n**3 - 4*n**3) + (-3 + 0 + 1)*(0*n**3 + n**3 + 0*n**3)*(0 + 0 - 9*n) to l + g*n**3 + u*n**2 + s*n + h*n**4 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44582270*u**3*y**2 - 2*u**2*y**2 + 2929*u + 243*y**2 wrt u.\nAnswer: -267493620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-424*h**4 - 249*h**4 + 19*h**4).\nAnswer: 1308*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 7*v = -48 + 29 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6585, 13167, 19743, 26313?\n\"Answer: -3*t**2 + 6591*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -2. Let u be (-3)\/(3\/1)*d. Solve -2 = -n + u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(325)*1*2*4)**2.\nAnswer: 1331200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 719985 = q + 3*j, -15 = -5*j. What is q rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 1. Suppose 2*b = l + 13, -4*b = l - 5 - 6. Suppose 752 = -6*c + 740. Let a be (-3)\/l - c\/5. What is m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4918*v + 9833*v - 4919*v - 4. Let j = 0 + -3. What is y(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 17*k - 54. Let m be i(-15). Let u = m - -28. Calculate the least common multiple of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:20 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -4. Suppose 0 = -3*v + c*v - 224. Let f = -31258 - -31272. What is the highest common divisor of f and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(2*70\/40). Solve -o = a - 2*n + n, -4*a - n - 13 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(-6)*q))\/(q*q**9)*q*q\/((q**(-6\/11)*q)\/q)*q*q**(-9) assuming q is positive.\nAnswer: q**(-258\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 <= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6958 and -55.6?\nAnswer: 7013.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5837, 10 in increasing order.\nAnswer: -21, 10, 5837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3728519 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*c - 3*n, -2 + 16 = 3*c + 2*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150490*a*n + 31*a + 759546*n wrt a?\nAnswer: -150490*n + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - 6*p**3 + p**4 + 3*p**3 - 1 - 5*p**2 to v*p**2 + a*p**4 + s*p**3 + n*p + w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 36*w = -19*w + 456 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694236*l - 694227*l + 2082693*l - 694227*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 198*z - 1104. What is the remainder when n(7) is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c = 1330 - 3492 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3104.11 - 3104. What is the closest to 2\/5 in -3, d, -0.5, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*x + 1 - 95*x - 1 + 139*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4580.358 hours in nanoseconds?\nAnswer: 16489288800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5795 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {g: 1, s: 2, o: 1, z: 3, c: 2, y: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 9, m: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 0.5, -1.449 in increasing order.\nAnswer: -1.449, 0.4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1798 = -17*s - 659. What is the remainder when 121 is divided by s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40*(143\/182 - 6\/21). Solve 0 = 20*m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-8)*(-412)\/(-309))\/((-5)\/8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24797990.11 to the nearest ten thousand.\nAnswer: -24800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f - 23. Let a be d(-4). Solve 0 = x + 5*y, -4*x - a = 5*y - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1018, 2039, 3060?\n\"Answer: 1021*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 140\/5*4\/(64\/6)*(-91448)\/9798\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31370 = 3*k + 8*j + 31384, -4*k - 5*j - 13 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(-2*sqrt(2)*-6 + sqrt(8)\/sqrt(64))*-2)**2.\nAnswer: 691488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7110.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.94 + 16. Which is the smallest value? (a) 3 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20) - 0)\/((-2)\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x + 29221*x**2 - 29216*x**2 + 7 + x**3 + 2*x**3. Let r(b) = b**3 + 2*b**2 + 2*b + 2. Calculate -2*g(c) + 7*r(c).\nAnswer: c**3 + 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + -27. Let m = v - -39. Let o(t) = -t**3 + 55*t**2 + m - 52*t**2 + 2*t**3. What is o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -35\/19477?\nAnswer: -35\/19477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + (-17)\/(-3). Suppose -j*d - 1 - 11 = 0. Is 37 a factor of (-111)\/d*(-6)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599999297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*p + 325*p - 933*p + 330*p - 37*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, x: 3}. What is prob of picking 1 f and 2 x?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let f be 27\/18 + 1\/t + 0. Put 1, 4, f, -7 in increasing order.\nAnswer: -7, 1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 + 7441832*x\/7 - 13845215879056\/7.\nAnswer: -(x - 3720916)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 428 = -4*d, -2*b + 320 = 8*d - 5*d. What is the smallest common multiple of 520 and d?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 31*f**2 + 133*f - 6. Let w be m(5). Let x(c) = c**2 + 4*c - 4. Let u be x(-6). Let y = -5 + u. What is the highest common divisor of y and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1ab96?\nAnswer: 1ab94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204251868 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 0 + 1 + (-145 - -159)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 + (-3)\/4. Let z = a - -3. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -22 + 24 + 1 + -1. Suppose -3*o + 41 = -h*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (896\/(-192))\/(8\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 - 136 - 302 - 342)*(a**2 - 1 + 1) to y*a**2 + x*a + m and give y.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*u + 2 - 7 = 0, -2*u + 26 = 4*i. Suppose 57*c - 50*c - 14 = 0. Let q = i - c. Solve -3*n = -q*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k - 11. Let v(m) = m - 2. Let c = -52 + 50. Calculate c*f(r) + 11*v(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851653 is divided by 498.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1488 and 251286?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14224\/144 - (-10)\/45. Let k(c) = -225*c - 99. Let z(q) = -9*q - 4. Determine l*z(h) - 4*k(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -20*u**4 + 35*u**3 + 30*u**2 - 35*u - 10 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5579 * -22.\nAnswer: 122738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -833105729 and -4.\nAnswer: 3332422916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h + 2*h)*(3*h**2 + 4*h**2 - 5*h**2) + (-h**2 + h**2 + 2*h**2)*(-19*h - 6*h + 0*h).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/((-4)\/(-60)). Let a(y) = 4*y**2 + 5*y + 1. Let r(s) = s**2 + s. Give m*r(p) - a(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, k: 10}. What is prob of picking 3 d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.2 + -2.8. Let j = r + -5. Let a = 1 - 0.7. What is the nearest to 0 in a, j, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2)))**19)**(-2\/17) assuming h is positive.\nAnswer: h**(-76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7 - 57 = 0. Let j be 5 - 0\/((-4)\/2). Solve 5*z + i = w, -j*z = -2*i - 6 - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 23.7. Let n = -3.3000083 - y. Round n to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*z = -425*z. Let u(d) be the second derivative of -1\/6*d**4 + 0*d**3 + 5*d + 0 + z*d**2. Let q(r) = r**2. Calculate q(u(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3937*f + 826*f - 851*f - 1490*f as n + g*f and give g.\nAnswer: -5452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210829211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddddlyyl. What is prob of picking 3 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 513025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:00 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 61 - 0 - (-16 - -14). Let o = -69 + u. Let j be ((-2)\/6)\/(o\/90). Solve -2 + 17 = -j*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4583155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1656987.\nAnswer: -8284935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x**2 + 14. Let n(l) be the third derivative of -l**5\/15 - l**3\/2 + l**2 - 98*l. Give 14*n(a) + 3*v(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*r - 3*r = 7, 5*g + 2*r + 17 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1099 and -11\/6.\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - v + 6 = 4*f, 5*f = 4*v + 3. Suppose f + 1 = 2*t, 4*l - t + 2 = 0. Which is greater: -2\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917856 and 12000.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2 + 15\/6). Let x = 7 - 3. Suppose b = -x*r - 15 + 67. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455596 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = 5*v. Let k be -10*(2 - 5\/v). Suppose -2*w + 7 - 55 = -2*p, -k*w = p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 1 + 7. Suppose -4*w - 5*z = -0*w + 9, -2*w = -m*z - 2. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let g = -22.5 + 22.3. What is the biggest value in g, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**16\/a)\/a**6 assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 57.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 177\/(-9) - 14\/(-21). Let w = 24 + r. Suppose -5*t - y + w*y = -507, y = -3. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 181. Suppose -9*u - n = -58. Suppose -32\/5*b - 4\/5*b**3 - 22\/5*b**4 - 8\/5 + 66\/5*b**u = 0. What is b?\nAnswer: -2, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776377773 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8393961461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14 = -3*p, 4*p + 16 = -n + 9*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 36 - 23)*((-5 + 3 + 4 + (-6 + 1 + 3)*(-1 + 1 + 1) + 8 - 2 + 2)*(r**2 - 2*r**2 + 2*r**2) + r - r + 2*r**2) to d*r + b + w*r**2 and give w.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20852*c**2 - 52*c + 171 wrt c.\nAnswer: -41704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 - 135.23. Let i = g - 0.9. Let y = i + 0.13. Which is the biggest value? (a) -1 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((-4)\/66*(-92)\/((-57040)\/(-186)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 143. Calculate the remainder when s is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42317423 greater than -42317421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5552258430 from 73.\nAnswer: -5552258357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, s: 2}. Give prob of sequence sds.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25c1a (base 15) to base 11\nAnswer: 82884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/5 (b) -1\/7 (c) 4 (d) -3\/5 (e) 2227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3293 + 3331. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5) + (sqrt(5) - 1*(sqrt(5) + -1 + sqrt(5))))**2 - sqrt(5)).\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 + 662 = 43*p. Solve 4*v - x + 9 = 0, -9*x + p*x + 7 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3145, -3141, -3135, -3127, -3117, -3105, -3091?\nAnswer: -3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 5. Let f(k) be the second derivative of 4*k**3 + 13*k**2 + 12*k. Let b(u) = 4*f(u) + 22*x(u). What is the tens digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 divided by 15?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 15 + 56)*(9*v + 0*v - 7*v).\nAnswer: 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:11 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22341 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000593939 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 17*d - 13. Let q be j(16). What is the closest to -2\/3 in q, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 - (2 + -2 + 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*k**2 - 129*k**2 - 3*k - 6*k**2.\nAnswer: k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4 + 2*l**3 - l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*k - 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:12 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, g: 9, e: 1}. Give prob of sequence ecgg.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6616 is divided by 118.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*u - 8 = -6*o, 0 = -o + 2*u + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/8*280\/(-42). Suppose 0 = 3*h + u*v - 84, 4*v - 3 = 5*h - 106. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*34)\/(15560\/(-7780))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8236 is divided by 54.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/4*2\/3. Which is the nearest to -3? (a) o (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/3))**(9\/8)\/((o**(-4\/7)\/o)\/((o\/(o\/((o*o\/o**(2\/25)*o)\/o)))\/o)) assuming o is positive.\nAnswer: o**(7163\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, a: 1}. What is prob of picking 3 t?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 2. Let o(g) = 5*g - 11. Let r(n) = 33*d(n) - 6*o(n). Let t(p) be the second derivative of 4*p**3\/3 - 5*p. Determine r(t(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/4 - 2*b**3\/3 + b**2. Let i be q(5). Let r = i - 8. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/932076 and -199\/74566080?\nAnswer: 74566080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 2. Let x(c) = 2*c + 2. Let f = -36 - -32. Let w(d) = f*x(d) + 5*g(d). Find the first derivative of w(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = p, p - 6*p - 90 = 5*z. Is p < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -41*d + 4. Let s = -0.19 + 3.39. Let l = 0.2 - s. Sort l, d, 2.\nAnswer: l, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/7)\/w)\/w)\/w*w)**29*(w**(-3)\/w)\/(w*w*w*w*w**(1\/6)*w) assuming w is positive.\nAnswer: w**(-3169\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 13 - -2 - (-13 - (9 + -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 22 - 20 + 33 - 19 - 2*w.\nAnswer: -2*w + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5664 or 29812?\nAnswer: 5664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 3*c - 5*t - 10, -c = 2*t + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**3 + 888*s**2 - 887*s**2 - 72*s + 73*s. Give y(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.7 + 28. Suppose -v - 3*s = 9, -402*v + 3*s = -407*v + 3. Let y = 2 + -4. What is the fourth biggest value in a, y, 1, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*q + 21 = 0, 3*c - q + 2*q - 43 = 0. Solve -5*u = c, 2 = 4*y - u + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 112.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/200640 and 103\/8910?\nAnswer: 5417280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 2*n**2 + 9*n. Let d(m) be the second derivative of -m**5\/10 + m**4\/4 + 7*m**3\/3 - 93*m. What is -5*d(u) + 8*k(u)?\nAnswer: 2*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 + -6.1. Let f be -2 - ((-12)\/(-126))\/(2\/(-36)). Which is the closest to -1? (a) d (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 11*y - 8 + 3*y**3 - 65*y**2 + 53*y**2. Does 21 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303 + 236. Let s = 71 + v. Solve -2*y - 8 = 3*w - w, -4*w + s*y = -24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*f + 300*f - 11093 + 63225 = -66032 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/15)\/o*o*(o*o*(o\/o**(-4))\/o)\/o*(o\/o**(2\/7))**(2\/27)*(o*o**0*o)**(-24)\/(o*o*o**2*o**(-4)) assuming o is positive.\nAnswer: o**(-40459\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 22 = -t. Let y be (0 + 2)\/(t + -7). Sort y, 0, 3 in descending order.\nAnswer: 3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 3 - -6) + (-3123 - -3051).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 45 + 30*n - 41 + 88 + (0 + 3 - 2)*(-4*n**2 - 3*n**2 + 6*n**2).\nAnswer: n**2 + 30*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 62540 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2275 and 15561.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 - 64*a**4 - 560*a**3 - 1316*a**2 - 1198*a - 380 = 0. Calculate a.\nAnswer: -19, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840028 is divided by 16471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 155 - 208*q - 499 + 177 + 179 in the form x + o*q and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*k = r + 1169*k - 5, -3*r - 2*k + 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -445*x - 3501. Give k(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3835\/3432*-4 - 8\/12) + 5?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13*s = -18*s - 3, 0 = x + s - 12. Let y be 3*x\/(-14)*-2*1. Suppose 0 + 6\/5*q - 9*q**2 + 84\/5*q**y = 0. What is q?\nAnswer: 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247 + 391. Calculate the highest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from eeoeoeeeoeoeeeeooe.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {g: 1, a: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 3122205\nAnswer: -12\/1040735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3797*r + 9. Is l(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 12:05 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.83 plus 1080938737?\nAnswer: 1080938791.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*u**3 - 136*u**3 + 3*u**2 - 15*u**2 - 57*u**2.\nAnswer: 2*u**3 - 69*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/407 - (-280)\/(-1540). Sort j, -16, 3 in ascending order.\nAnswer: -16, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 0.0268468861487.\nAnswer: -3.9731531138513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*p)*(-4 - 2 + 4)*(-2*p + 0*p - 2*p)*(-18 - 21 + 17).\nAnswer: 352*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18185364 divided by -43926\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y)\/y)\/y**(-4\/7)*y\/y**6*y**7*((y*(y**(-6)*y)\/y)\/(y*y*y**1*y))\/(y**2\/y*y)**(5\/12) assuming y is positive.\nAnswer: y**(-53\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*r - 22*r + 20*r**3 - 20*r)*(r**2 + 4*r**2 + 0*r**2).\nAnswer: 100*r**5 - 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**3 + 25*t**2 + 4*t + 6. Let s be p(-3). Solve -11*b = -s*b + 57 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 12*t**2 - 3*t + 8. Let b be a(-12). Let l = 41 - b. Let c(y) = -2*y - 5. Let h be c(-4). Sort 2, h, l in decreasing order.\nAnswer: h, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + r**2 + 5*r + (-2*r + 0 + 0)*(2*r + 2*r - 2*r) + (0 - 7 + 0)*(-2*r**2 - 3 + 3) to x + b*r**2 + u*r and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*g = -4 - 5, -5*m = 2*g - 6. Suppose i + 9 = 4*p - m*p, -4*i = 20. What is the lowest common multiple of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 23 = -n + 47, 2*n - 68 = -2*y. Let u = y - -19. What is the highest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 18 = -3*x. Suppose 4 = 3*t + 22. Let r = 6 + t. Solve r = -x*v + v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/90*(54\/2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6124*s**3 + 6*s**2 - 3*s - 21. Let x(t) = 12249*t**3 + 14*t**2 - 7*t - 49. Calculate -7*c(k) + 3*x(k).\nAnswer: -6121*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15143 divided by -2\nAnswer: 15143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -190*a + 1. Let z(x) = 2481*x. What is c(z(y))?\nAnswer: -471390*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -48. Sort -1, 4, c in increasing order.\nAnswer: -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*b - 64, z = 3*b - 26 - 22. Calculate the smallest common multiple of 8 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**4 - i**2 + i + 1. Let b(j) = 164*j**4 - 5*j**2 + 5*j - 193. Let s(a) = b(a) - 5*n(a). What is the first derivative of s(x) wrt x?\nAnswer: 676*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let c(w) = 21*w**2 - 2*w - 1. Let k be c(-1). Suppose u + 5*p + d + k = 0, 0 = 5*u + 2*p + 5. Solve 0 = -2*x - u - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753026.\nAnswer: 2, 1876513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/756960 and -34\/212895?\nAnswer: 6812640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 38559 - 2*a - 38585 + 3*a. Let r(d) = 2*d**2 + 0*d**2 + 2 - 2. What is h(r(w))?\nAnswer: 2*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0)*2 + -6*(sqrt(2448) - -4*sqrt(2448))**2 + -5.\nAnswer: -367205 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, v: 3, p: 15}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00055886872 rounded to six dps?\nAnswer: 0.000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39009558 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-4))\/(2\/4). Let l = 15 + -14.3. Let s = l + -2.7. What is the second smallest value in s, -2\/13, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22518688 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnrgnn. Give prob of sequence rg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 50*a**2 + 4.\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/59121 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1323399 and 81\/825650.\nAnswer: 463189650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76281\/73 - -3600935\/1168. Let c = -4134 + a. What is the common denominator of 29\/(-3)*3\/4 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 323130, 323096, 323040, 322962?\n\"Answer: -11*q**2 - q + 323142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251 - -531\/2. Let j = 22637703\/1151020 - -20034\/3029. Let z = 392\/19 - j. What is the common denominator of z and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -10 + 7 + -1 + 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*v + 1\/3*v**2 + 9747.\nAnswer: (v + 171)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 3. Let r(f) = -f. Let q be r(3). Let a be d(q). Suppose 28 = -a*w + 2*w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1074, 1075, 1076, 1077?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -168, -2, 2.\nAnswer: -168, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 22 = 3*d, 6*p + 7 = 3*p - 2*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 2*c - 19 = 36*a, -a - 2*c = -11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*w - w - 1342, 0 = 2*w + 3*g - 1366. Suppose w = 5*q - 1153. Suppose -q = 6*f - 12*f. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15429 - 20091 = 930*z + 4248 + 3942 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 95. Does 13 divide (15\/45)\/(d\/(-237))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + m - 17 = 0, 2*w = -w + 2*m + 18. Let t be 4\/((-38)\/10 - -4). Solve -w*o = -8*o + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -10, -30, -60, -100?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 1249 - 298. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = -k, -k - 8 = -6*k - c. Let n(h) = -1 + k + h + 0. Let l(o) = -7*o**2. Give l(n(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 539*c**2\/2 - 194341*c\/4 + 148188.\nAnswer: -(c - 3)*(c + 233)*(c + 848)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 719 and 0.22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3067.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12006487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - 960\/(-54). Suppose -t - k = 26. Let o = -32 - t. Calculate the lowest common multiple of 30 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n + 25. Let d(g) = 4*g + 8. Let q(f) = 17*d(f) - 6*v(f). Give q(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4974, -14176, -31824, -62142, -109354, -177684, -271356?\nAnswer: -394594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-10)*65\/13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 1223 = -359. Let j(v) = -v + 52. Let i be j(q). Calculate the greatest common divisor of i and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Let j = 12 - 7. Suppose -j = f - 6*f, 5*i - c = 4*f. Solve -i*t - 9 = -n, -n + 0*t - t = 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4512)\/470*(-5)\/(-2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 9. Suppose -5*x = 3*o - 137, 4*x - 4*o - 80 - 36 = 0. Calculate the remainder when x is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11.64 (b) -1\/10 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449695858*i**4\/11 - 8699467452*i**3\/11 - 13055016834*i**2\/11 - 11632464*i\/11 - 2592\/11 = 0. Calculate i.\nAnswer: -3, -12\/26923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 968 divide 11745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -10. Let o = r - 69. Let m(b) = 53*b**2 + b + 1. What are the prime factors of m(o)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Suppose -o*i - 2*i = -725. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 29*l = -220. Let g(x) be the second derivative of -x**5\/20 + 11*x**4\/12 - x**3\/3 - 11*x**2\/2 - x. List the prime factors of g(l).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimnhniinhnhmm. What is prob of picking 1 m, 1 i, 1 n, and 1 h?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = 4*q, 3*q = 5 + 4. Let b be ((-1)\/(-2) - w)*4\/3. Suppose -b*h = -h - 187. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 55 (c) 1.05 (d) -0.093\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -189626 divided by 94813\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11466 and -65\/4704.\nAnswer: 183456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6076\/(-26040)*-6*3.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1906\/(-22)*2\/(-14). Let s = 114\/7 - p. What is the common denominator of 0\/(-2) - 278\/12 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.35 - 5.58. Let n = g - -4.13. Which is the second biggest value? (a) -2\/5 (b) -2 (c) -0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73876 is divided by 8207.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/((-45)\/27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**2 - 21*h**3 + h + 44*h**2 - 7*h**2.\nAnswer: -21*h**3 + 53*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7*i)\/i**(2\/7)*i**2\/i**(3\/5)*((i*i**(-8))\/i*i**6)\/((i*i**(1\/3))\/i)**(-32) assuming i is positive.\nAnswer: i**(1972\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-15))\/3*-3. Let z be (1\/22)\/((-1)\/(-4)). Which is the third smallest value? (a) z (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430595421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/63 and 85\/10278?\nAnswer: 71946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 194 = 50. Suppose 2*f + f = -s + 17, -1 = f - s. Find the second derivative of -5*h - 18*h**4 - v*h + 9*h**4 + 6*h**f wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7401.4 - 7402. What is the second smallest value in 5\/2, f, 8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:55 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 + (-133)\/98 and -91\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99192*x**2 + 49529*x**2 + 49793*x**2.\nAnswer: 130*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 311206+173\nAnswer: 311379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10636, 21271, 31906, 42541, 53176, 63811?\n\"Answer: 10635*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k. Suppose 24 = -3*o - 27. Let x(u) = 5*u. Let n(f) = o*x(f) + 6*y(f). Let t(h) be the first derivative of 3*h**2\/2 - 2. Determine t(n(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 139, 140, 141?\n\"Answer: g + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75823*w**2 - 3128?\nAnswer: -151646*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 36. Let u = b + 62. Sort 0, -1, u, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29.94831g?\nAnswer: 0.02994831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -60*x**2 + 2*x + 4. What is g(-2)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 98*a**5\/15 + 7*a**4\/24 + 5*a**3\/6 - 50*a**2. Is p(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 37. Calculate the highest common factor of 70 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45775646 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399996 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/3)*50788\/(-419001).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 2 in increasing order.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from qooqxgoxnox?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5. Let s(n) = -2*n**3 - 7*n**2 + 7*n + 15. Let q(c) = c**3 + 3*c**2 - 3*c - 7. Let a(j) = -7*q(j) - 3*s(j). Give 5*a(z) + 4*g(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:18 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279.\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/4795 - 448431\/498680. Calculate the common denominator of l and 47\/172.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36.5 * -8\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/252)\/(30\/(-35)). Let m(u) = u**2 - 8*u + 4. Let g be m(6). Let f(k) = -k - 8. Let p be f(g). Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -610, -1267, -1966, -2713, -3514, -4375, -5302, -6301?\nAnswer: -7378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 + 2*b**2 + 11*b. Determine t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -15*f**2 - 14*f**2 - 8 + 47*f**2 + 7*f - 19*f**2. Calculate v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16944 divided by -2\nAnswer: 8472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 4, 62 in ascending order.\nAnswer: -0.1, 1, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 smaller than 876688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*((5*sqrt(192)*3 - sqrt(192)) + sqrt(192)*-1*2)*-3)**2.\nAnswer: 8957952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19597.\nAnswer: 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i + 1. Suppose 3*q + 1 = 7*q + h, 2*q - h + 7 = 0. Calculate t(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 + 159. Suppose -21 = 5*h + 64. Let g(p) = 20*p**2 + 17*p. Let l(m) be the first derivative of -7*m**3\/3 - 3*m**2 - 2. Determine h*l(q) + j*g(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -177 and -0.4?\nAnswer: 176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62002938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -10 (c) -69.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/742 and -13\/7632.\nAnswer: 53424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(5\/15)\/(6\/(-513))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(1 + sqrt(612))**2.\nAnswer: -6130 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 5*w - 6. What is u(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5\/2, -0.5, -4, 0 in ascending order.\nAnswer: -4, -0.5, -2\/13, 0, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 6*x = -6*w + 3*w + 210, 2*x - 70 = -w for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935238012 to the power of 1\/2, to the nearest integer?\nAnswer: 43991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5225 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 397156*y**2 - 9857312556*y + 49296492180.\nAnswer: -4*(y - 5)*(y + 49647)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-9\/5))\/g)\/g**(-2\/7))**45 assuming g is positive.\nAnswer: g**(972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 2*j**2 - j**2)*((-36 + 1 + 1)*(0*j + 9*j - 3*j) + j - 2*j + 3*j).\nAnswer: -404*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Let k be 19\/1 + 0\/g. What is the highest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1209813 - -61?\nAnswer: 1209874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 15*j**2 + 1 - 4 + 3 - j. What is the remainder when 61 is divided by b(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4\/11 - 4554*b**3 = 0.\nAnswer: 0, 25047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1)\/(-7 + 9). Let t(u) = u**2 + 560. Let g be t(l). Let p = g - 323. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19611*h**6 + 355*h**2 - h + 1.\nAnswer: -2353320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 - -155. Suppose -4*m - 9 = -5*c, 3*m - 6 = c + 1. Suppose -r + c - 1 = 0. What is the remainder when g is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113 less than 0.1?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q - 19. Determine o(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 a when four letters picked without replacement from {a: 8, v: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89750*i**2 + 84 + 166 + 89769*i**2 + 10*i**3 wrt i.\nAnswer: 30*i**2 + 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.4? (a) 779 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 15.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15678519 - 15678413.885891. Let h = -0.580009 + d. Let b = -104.6 + h. Round b to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*k - 69 = 54, -5*k = -10. What is the greatest common factor of v and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i + 3. Let z be d(-4). Let j = z + 74. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*y - 3633 = 5727 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**2 + 2*n + 4. Let x(y) = 45*y**2 - 9*y - 17. Let c(o) = -9*h(o) - 2*x(o). Let s(a) = -2*a. Let v be s(-1). Does 17 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(75) + (3*-1*sqrt(75) - sqrt(75)))**2 + (5 + -1*sqrt(75) - (sqrt(75)*1 + 5 + sqrt(75))) + 0 + -1 + -3.\nAnswer: 185*sqrt(3) + 1887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 957 divided by 3\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158.7 + 159. Which is the closest to -0.1? (a) 24 (b) s (c) 15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2204 divided by 19.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joaadojcgddc. Give prob of picking 1 a and 2 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t)**(-1\/18)\/((t*t\/t**(-6\/5))\/(t*t**(-7)*t)) assuming t is positive.\nAnswer: t**(-733\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9035203*j**2*v**3 + 1269*j*v**3 + 7*j*v**2 - 902*j*v + 2*v**3 wrt j?\nAnswer: -18070406*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3277*c + 1593 = -244182 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l**2 - 5*l - 6. What are the prime factors of c(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 5*u + 50, 250*u - 507*u + 262*u - 59 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 155d6 + 1?\nAnswer: 155d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44245.\nAnswer: 5, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121\/60 - -13\/5. Let b = a + -1\/12. Factor -y - 1\/2 - b*y**2.\nAnswer: -(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3059 or -33646\/11?\nAnswer: -3059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627617421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5085182*a**5 + 6*a**2 - 366441*a?\nAnswer: 305110920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 436209 a multiple of 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 1 + 22)*(0 - 2*v + 0).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 9*c - 4*l - 48, -4*l = -5*c + 53. Solve c*j + 12 = -p, -2*j + 4 = p - 5*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-23940)\/(-225))\/((-2)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 139. Suppose -17 = -3*i - q*m - 2*m, -4*m + 7 = 3*i. Let x(w) = w - 2. What is x(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 961794?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 99239402219.\nAnswer: 99239402201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6699, 6469, 6229, 5979, 5719, 5449?\nAnswer: 5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11339.6869 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d + 7*d)*(-5 + 5 - 1)*(-3*d + 5*d - 4*d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 + v**2)*(v + 3*v - 3*v)*(98 + v - 228 - 724).\nAnswer: v**4 - 854*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566 - 711 + 145 = 40*c for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -63 + 3. Calculate the greatest common divisor of z and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 5*b**4 - 205*b**3 + 203*b**3 + b)*(1 - 3 + 1) in the form s*b**4 + r*b + a*b**2 + z*b**3 + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49558 and 45298?\nAnswer: 15809002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + h - 564. Let g be i(0). Let b = g + 801. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1491723 or -1491725?\nAnswer: -1491725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -450.17602 - -788.35395. Let c = m - 370.478521. Let h = 32.3 + c. Round h to 5 decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281560*t - 325348 with respect to t.\nAnswer: -281560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-11 - -4 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -95bd?\nAnswer: 95c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 360 = 0. Suppose c = 3*j + 9*j. Solve -j + 2 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 5. Let s(w) = -3*w**2 - 2. Let f(h) = 4*o(h) - 7*s(h). Differentiate f(u) wrt u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 2.2803181?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/4 + 2*h**4 - 11*h**3\/2 + 7*h**2 - 17*h\/4 + 1 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 20. Let c = z + -65. Let d be (-2)\/4*1\/(4\/c). Solve -3 = -3*j - 3*m, -j = -d*j - 5*m - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965656.\nAnswer: 2, 19, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032167 rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62199109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7930\/(-180))\/13 + 5\/(-45).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/4 + 14281*z - 1573935 = 0. What is z?\nAnswer: -57234, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:14 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1387, 2919, 4451?\n\"Answer: 1532*m - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3638 - 3627. Suppose -4*f = 3*i - 203, -2*f - 120 = -2*i + 3*f. Calculate the remainder when i is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 32*m - 500 = 0. List the prime factors of 2628\/m + ((-27)\/5 - -5).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*x**4 - 27*x**4 - 8 + 12*x**4 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3816 by -3816.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*i**2 - 111*i**2 + 55*i**2)*(-646*i**2 + 295*i**2 + i + 116*i**2).\nAnswer: -3055*i**4 + 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 4*k**2 - 3*k - 13. Let l be z(-4). Let w be 2120\/60 - (l - (-2)\/6). Calculate the highest common factor of 288 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6044537 divided by 8.\nAnswer: -6044537\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274751?\nAnswer: 43, 76157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/7 (c) -190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203\/2 - -2635\/26. Which is the closest to -4? (a) 0.04 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12417 in 12, -2\/3, -80?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97\/(-19) + -8 + (-3388)\/(-418).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-540)*5\/(-2). Put 5, -2\/5, 4\/5, c in decreasing order.\nAnswer: 5, 4\/5, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*-1)\/(1555\/2488).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 16) to base 14\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 994 = -3*n + 854 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2\/2 + 10*z + 13. Let n = -7 + 13. Let c be i(n). Solve 5*r - c*r - 5*s - 27 = 0, -r - 5*s = 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21 - 7)*(-21)\/(-12). Let p = -23 + d. Let k = -39 - p. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.166 + 0.006. Let q = 0.36 + d. Are q and 22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295281308.\nAnswer: 2, 7, 2203, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1827 (base 13) to base 12.\nAnswer: -20a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-44 + (-1 - (1 - (23 - 9))))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366482908 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 6076 - 26560. List the prime factors of v.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-11 + 4 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95176 + 47587 + 47590 + 164*a**2 - 2*a to the form k*a + w + j*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1309387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 15 + 39 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 463\/20 - (-2)\/(-5) and 59\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511757 plus 414365?\nAnswer: -97392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8381 is divided by 1394.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from eeeexexeexee.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -919 - -1022. Calculate the remainder when 409 is divided by y.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -5304a?\nAnswer: 53037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + a + 1. Let m(f) = -f + 17. Let z be m(12). Suppose 5*c - z = -0*c. Determine j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 760? (a) -9 (b) 129 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9462798 and 7218?\nAnswer: 9462798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkmqw. Give prob of picking 1 w and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 659497710 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456)\/sqrt(128) - sqrt(57))\/sqrt(3))**2*4.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from eeeeeedemdzmheeezzh?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9435? (a) 2\/7 (b) -0.2 (c) 2\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r + 3. Let m = -176 + 173. Which is the second biggest value? (a) m (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316413934*c**2*p**4 + 5*c**2*p + 8888075*c wrt p?\nAnswer: 3796967208*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2328, 1, 1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2 = -7*k + 2*k + 6*k, 0 = 3*k + 10 + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/16)*((y**(-3\/4)*y*y)\/y)\/y assuming y is positive.\nAnswer: y**(-13\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*z + 30, -13 = 2*z - 11. Let r(k) = -2*k - 6. Let w be r(-5). Suppose -2*b**i - 2*b + 8\/5*b**2 - 4\/5*b**4 - 4\/5 + w*b**3 = 0. Calculate b.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times 0.108?\nAnswer: -0.04104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -20. Let z be (-356)\/(-232) + (-6)\/p. What is the smallest value in z, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237515 divided by -5\nAnswer: 47503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Let o = w + -2. Sort -2, -4, o in decreasing order.\nAnswer: o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -4, -5 in decreasing order.\nAnswer: 11, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/34)\/(2055\/2329)*2\/5?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4 + -1 + 21\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651646337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*s - 274, -4*r + 4*s - 150 = 130. Let q = -34 - r. What is the greatest common divisor of q and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 + 5*k - 5. Let h(o) = -o**3 - 6*o**2 - 2*o - 14. Let t be h(-6). Let v(p) = -1 - 2*p - 4*p**2 + 0*p + 3 + 0*p. Determine t*y(n) - 5*v(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r**(27\/5)\/r))*r\/(r\/(r\/(r*r\/(r\/(r\/(r\/((r\/r**(1\/60)*r)\/r)))))))*(r*r\/(r**21*r))\/r**1 assuming r is positive.\nAnswer: r**(-211\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8113 times 0.01\nAnswer: 81.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/4)\/(888\/1184)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 410*t**2 + 9*t + 552*t**2 - 962*t**2.\nAnswer: -3*t**3 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25841888\/180829 + 20\/16439. Let w(p) = -28*p + 3. Let i be w(-5). Let k = i - r. Which is the third smallest value? (a) 0 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/8491865?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.047 > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 870005783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + -1 + sqrt(5) + -4)*-5 + sqrt(60)\/(((sqrt(3) - sqrt(48)) + sqrt(3))*6))**2.\nAnswer: -4525*sqrt(5) + 366305\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168980091?\nAnswer: 3, 7, 19, 423509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -890650047 divided by 7\nAnswer: -127235721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 5\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3846*f**3 - 1512*f**3 + 1425*f**3.\nAnswer: 3759*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*f**2 - 383*f + 383*f.\nAnswer: 187*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/7)\/x**(-7\/3))\/(x\/(x**(-4\/7)*x))**(-4\/31))**49 assuming x is positive.\nAnswer: x**(14875\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:49 PM?\nAnswer: 695","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s**2 - 2*s + 4. Let f(w) = w - 8. Let t be f(10). Suppose -11 = -3*y - t. What is the remainder when m(y) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1656 and 37\/458298?\nAnswer: 1833192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1629*i - 1708368 = -1677*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 260878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*b - 7, -11*b = -8*b - 5*l - 31. Sort 6, b, -4.\nAnswer: -4, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 - 117 - 8*j**3 + 3*j**3 - 82.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 + -278. Which is bigger: 30 or f?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/23, 12\/11, 3, 0.039, 5 in ascending order.\nAnswer: -2\/23, 0.039, 12\/11, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 + 5*b + 14. Let k be f(-9). Let p = -121 + k. What is the remainder when p is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18622254 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -476 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 3*j + 3 + 0.\nAnswer: 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8707 > 7931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840464986?\nAnswer: 2, 41, 10249573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376326 is divided by 613.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 3*q + 7*q - 23*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 2) + 1 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8770 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*p - 36 = -13, 3*m - 27 = 3*p. Suppose 2*w + 21 = t - 3, 0 = 2*t + m*w - 16. Solve -4*o + 12 = 0, -4*x + 4*o = t - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.9 + 39.9. What is the nearest to 0.2 in 2, g, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = 3*b - 3, -x = 5. Let z be 6\/(-15) + 896\/(-10). Let q = 98 + z. Calculate the lowest common multiple of b and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, -160, -714, -1792, -3568, -6216, -9910?\n\"Answer: -29*j**3 - j**2 + 2*j + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -509*w**2 - 3314*w - 25. Give u(-7).\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23860362 and 618?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h = 27*h - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6557 - -2246. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255452 (base 6) to base 2\nAnswer: -101101011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 41 - 11 = 0. Suppose y - k - 6 = 0, -2*y + k + 12 = -3*k. What is the least common multiple of y and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1166323 (base 7) to base 9\nAnswer: -250221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*m - 14*m**2 - 49*m + (-12 + 31 - 2 - 2*m)*(-4*m + 14*m - 2*m) to the form g*m**2 + a*m + l and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 128022.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.342673656 + -11.657326404. Let y = 22 - 10. Let z = y + c. Round z to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 4:25 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-4 - 2 + 5)*(0*x + 2*x - 6*x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.18 to zero decimal places.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 2, o: 4, d: 2, x: 3, g: 3}. What is prob of picking 1 g and 2 d?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -535*g**4\/4 - 7*g**3 + 3*g**2 + 1555. What is the third derivative of y(q) wrt q?\nAnswer: -3210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + b = 3*b, -1 = i - 5*b + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) 18115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86641, 86647, 86653, 86659, 86665?\n\"Answer: 6*a + 86635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 - 4*r - 5. Let q = -12 + 10. Calculate the remainder when d(q) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.56 - 271.56. Let w = y + 268.0000125. Round w to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and -1512394.\nAnswer: -1512393.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(2 + sqrt(704) + sqrt(704))*1 + (-4*sqrt(1782))\/(sqrt(72)*-1).\nAnswer: -42*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2579039 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 - -43.5. Let k = 38.66 - v. Let n = -0.3438 - k. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111 in 0.064, -42\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71, -76, -89, -116, -163, -236?\n\"Answer: -g**3 + 2*g**2 - 4*g - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 636780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 749323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -165\/2. Which is the nearest to 0? (a) 7 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -41, -78, -135, -218, -333?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -251*c**4\/6 + c**3\/3 + 451*c**2 + 864*c. Find the second derivative of h(p) wrt p.\nAnswer: -1004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -15*m - 269. Let f be q(-19). Let a be (10\/4)\/(7 + (-104)\/f). Solve -g - 9 - 21 = a*n, g + 4*n = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -182, -437, -690, -941, -1190, -1437?\n\"Answer: o**2 - 258*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.8 times 1.16?\nAnswer: 573.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432755452?\nAnswer: 2, 461, 234683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -117. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4 + 4*h - 2*h + 0*h. Let t be ((-8)\/12)\/((-1)\/6). What is b(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c + 77. Suppose 0 = -21*m + 27*m + 30. Let j be v(m). Solve -j*o = -11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = t, t = d + 1 - 6. Suppose 127*k - 1226 = 459*k + 1762. Let f = 20 + -16. Sort d, k, f.\nAnswer: k, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227104\/705 - 2\/15.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -140639, -562557, -1265753, -2250227, -3515979?\n\"Answer: -140639*x**2 - x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 245 and 2?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 44.982. Let c = 4.018 + g. Sort c, 0, 4\/9 in descending order.\nAnswer: c, 4\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 4*w + 37. Determine r(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 206.9 * 150\nAnswer: 31035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-416)\/(19\/(-57)*(-6)\/(-2)). Let l = 396 - s. Which is greater: -21 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24392 (base 10) to base 5\nAnswer: -1240032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0300 (base 16) to base 5.\nAnswer: -131444003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*j - 10*j - 35, 4*h + 71 = -5*j. Let r be -5*j\/((-55)\/(-42)). What is the greatest common factor of r and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54116*m + 54116*m - 247*m**2.\nAnswer: -247*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-15)\/(-70))\/(3 + -1 + -5).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 10 = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 1, j: 1, w: 5, u: 1}. Give prob of sequence jbi.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w = -26*r - 34*w + 198, 4*r - 38 - 16 = 2*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 8*f - 415726, 138*f - z + 207866 = 142*f. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -16, -31, -50, -73, -100?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/4 + 1\/4. Let i(x) = x**2 + 2*x + 2. Let j be i(-2). Suppose -5*o - 3*p = -34, -j*p + 3*p - 8 = -o. Solve o*a = d*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*u + 125, 3*n + 39*u = 44*u - 159. Which is the smallest value? (a) n (b) 2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310461 divided by -1?\nAnswer: -1310461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -905673 (base 10) in base 12?\nAnswer: -378149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353050, 706406, 1060070, 1414042, 1768322?\nAnswer: 2122910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 218, 372, 526, 680?\n\"Answer: 154*f + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 64*t**2 + 69*t - 731. Determine b(-65).\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6282 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(864) - sqrt(864)*-2)\/sqrt(3))\/(sqrt(54)*-3 + -1*1*sqrt(6))*-3)**2.\nAnswer: 972\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-10)\/4)\/((-27)\/(-89469)). Let t = i + 1666. What is the common denominator of t and (4\/(-22))\/(2\/13)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393945 is divided by 1276?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*1288\/230?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200560 greater than 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15. Solve -g = -4*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 1127, 1552, 1879, 2102, 2215?\nAnswer: 2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 10 = 29*q - 55*q. Factor 12*o**q + 1\/3 - 4*o.\nAnswer: (6*o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -7 - (1 + -3). Let i = -11 - g. Let l = -13 - i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 - 1373*r - 3360. What is u(-272)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/33 - -1\/165. Let o(n) be the third derivative of 3*n**2 + 0 + w*n**5 + 0*n**4 + 0*n**3 - 1\/60*n**6 + 0*n. Find the third derivative of o(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1405169 to 3 dps.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s - 4. Let w be ((-9)\/12)\/(3\/(-12)). Does 22 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = j, 4*y - 2*j = -0*j + 6. Calculate the remainder when 1657 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83292.26l to millilitres.\nAnswer: 83292260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 11) + 2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 34. Let g be (2\/8)\/(i\/8). Let m = -1.019 - -0.719. What is the smallest value in g, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10240, -20406, -30604, -40834?\n\"Answer: -16*u**2 - 10118*u - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -116 - -143 - (7 + 1 + 0). What is the greatest common divisor of o and 2983?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**2*v**4 - 101*c**2*v**2 - 67*c**2 - 4*v**4 + 11*v**3 wrt v.\nAnswer: -264*c**2*v - 96*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g - 3. Let m = -25 - -15. Let a = 6 + m. What is the tens digit of v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125610 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 21*f - 1072. Give q(52).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -622 or -585?\nAnswer: -585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25*(-9)\/(-30)*12\/10 is divided by 2\/(-9) - 1008\/(-162).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79599038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10154*l**2 + 2*l - 365 wrt l?\nAnswer: -20308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1333 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.02 + 0.22. Let w = -23.8 - h. Let a = w - -22.74. What is a rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-726)\/(-187) - (-4)\/34. Let j(o) be the first derivative of 4\/3*o**3 - 2\/5*o**5 + o**2 + 1\/3*o**6 - o**v - 2*o - 4. Suppose j(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21371*t = 3*a - 21375*t - 53, 67 = 4*a - 5*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (252\/8 - -3)\/(6\/232)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 6 - 1 + 675*h - 13 + 1841*h**2 + 306*h**2 wrt h?\nAnswer: 4294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 20 = 3*q, k - 5*q = 26. Suppose -13*r - 24 = k*r. What is the second biggest value in -2, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -8.462 (c) -1\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7178*j - 1452 = 37*f - 7175*j, -3*f + j - 114 = 0 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15421568808.99999899 + -15421568673. Let p = 7.7 - -128.3. Let g = r - p. Round g to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 28) + (-4 - (-2 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*g**2 + 0 + 8\/3*g + 50\/3*g**4 + 30*g**3.\nAnswer: 2*g*(g + 1)*(5*g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 130, 3, 2\/25, -3\/4, -86?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 55 = -5*o, m + 0*m - 3*o = 23. Solve 5*w + t - m = -0*t, 0 = 4*w + 4*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - 3*h + 14. Let m be j(-5). Let y(v) = -78*v + 112. Let q be y(m). Round q to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(2057) + 0)*-1 + (-1*sqrt(2057) + sqrt(2057) + 0 - (sqrt(2057) + 1)*6))**2 + -4.\nAnswer: 2420*sqrt(17) + 248993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 982 + 16*b - 17*b - 982.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111261672 by -27815418.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221983, -443964, -665931, -887878, -1109799, -1331688, -1553539?\nAnswer: -1775346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:03 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s + 1. Let h be g(-3). Let k(y) = -18*y + 9. Let t(d) = 9*d - 5. Let i(l) = h*t(l) + 6*k(l). Let m(f) = -5*f + 6. What is 6*i(a) + 11*m(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuunuuunn. Give prob of picking 2 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12481167 rounded to 3 dps?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359220 by -60.\nAnswer: -5987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + 3*f**2 - 6*f + 10. Determine u(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -341 and -3?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41538735 to the nearest integer?\nAnswer: 6445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 5*r - 7. Let c be (0 - (-9)\/12)*-8. Let l be s(c). Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-7 - -8) + 3*3. Solve 18 = -d + m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-10\/9)\/(u**(1\/4))**(8\/3))\/((u\/(u*u\/(u\/(u*u**(-5))*u)))\/(u*u**(-4))*(((u\/(u\/(u*u**(-1))))\/u)\/u*u)**(-34)) assuming u is positive.\nAnswer: u**(-394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {b: 1, z: 1, f: 2, e: 1, g: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16083322 or 16083325?\nAnswer: 16083322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 = 2*x + 14, 2*a - 29 = -5*x. Solve 3*b = 8 - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*v - 10, v + 2*v = -4*i + 15. Suppose -12*t - 1169 + 293 = i. Sort t, 2, 1 in descending order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1345, -1344, -1343, -1342, -1341?\n\"Answer: b - 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + d - 2. Let u be (14\/8)\/((-3)\/(-12)). Let w be p(u). Suppose w = 5*s - 122. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 10 - 10. Solve 4*a - 8*a + 8 = h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 + 15*p + 16. Let r be u(-10). Let a = r + 510. What are the prime factors of a?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.96, 17, 0.4 in increasing order.\nAnswer: -1.96, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4379 divided by 77.\nAnswer: -4379\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*m - q - 4, -3*m + 2*q = -2. Suppose 3*n + 11 = -2*p, -m*n = -4*p + n - 55. Calculate the lowest common multiple of p*4*9\/(-30) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 + 14 = 0. Solve 7*z = r*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.8. Let n = j + -1. What is the smallest value in -3, n, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (-64 - -43).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00139270449 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 13. Suppose -5*c + 3 = -i*c. What is the units digit of ((c - 1) + 0)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3609*z + 1079. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 43762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103021225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n**2 + 4*n - 6. Let w = 28 + -26. Suppose w = -2*g + 10. What is r(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2175673, -4351349, -6527027, -8702707, -10878389?\n\"Answer: -j**2 - 2175673*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 53 + b + 6 + 23 in the form j + s*b and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*s = -450*s - 16. Let z = -71 - -70. Is z at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 8. Let r be t(2). Suppose -r*n - p + 14 = 0, -9*p = -n - 7*p - 1. Let h(y) = -y + 4. Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y + 103 = -197 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16140606 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: 211*1\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -1 (b) 1 (c) -0.2 (d) -1168 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 + -1 + -1)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45\/4? (a) 0 (b) 1\/2 (c) -648 (d) -1.77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.39 + 0.39. Let o = r + 46.972. Let b = o - -0.0357. Round b to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o**2 - 15*o**2 + 11*o**2 + 2*o**2 + 5 to s + k*o**2 + q*o and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bby when three letters picked without replacement from wywwwwwwwbbywww?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(77))\/sqrt(112).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-88\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384806 is divided by 13743.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*z - 3536 + 7887 + 12556 = 0 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.904 - -26.504. Sort 1\/5, -2\/3, h, -118 in ascending order.\nAnswer: -118, -2\/3, h, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*x + 3299990, -2*x - 6600002 = -2*s - 3*x. Round s to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 53*w = -183 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -5*u**3\/6 + 23*u**2\/2 + 26*u. Calculate the remainder when y(4) is divided by (-2)\/(-6)*-2*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392080 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(10\/(-80)). Suppose 4*o - 9 = d*c + 7, 17 = -3*c + 4*o. Solve -3*s = 7 - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.07. Let y = w - -0.03. Which is the third biggest value? (a) -5 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w - 1. Let i(o) = -3*o**2 + 6*o - 2. Let q(u) = u**3 + 60*u**2 - 328*u - 196. Let j be q(-65). Calculate j*i(m) - 2*p(m).\nAnswer: m**2 - 8*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 + 3. Let k(m) = 3*m**2 - m + 3. Give 3*k(y) - 2*q(y).\nAnswer: y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w + 111. Let o be r(21). Suppose -4*h = i - 34, i - o = 6*h - 3*h. What is the remainder when 61 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-10)\/(-4)*(-88)\/(-40)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159770.96 - 3092.\nAnswer: 156678.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108470 + 80136 - 5623 = 4463*u for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, -3, -7, 13, -1, -2.\nAnswer: -14, -7, -3, -2, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7.003509.\nAnswer: 4.003509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47724508*i**4 + 55662658*i wrt i?\nAnswer: -572694096*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = g - 3*g - 38, 2*b - g - 73 = 0. What is the least common multiple of b and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7549203 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6)\/((336\/5544)\/(4\/(-44)*4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 612 - 18*n + 301.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3849333.\nAnswer: 4\/3849333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 8. Let u be y(-5). What are the prime factors of 1846\/u + (-2)\/(-7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - s + 2659 = 0, 0 = z + 4*s - 1751 - 893. Calculate the smallest common multiple of z and 2072.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 8. Suppose q*r + 1 = 5. Find z such that 1 + 1 - 2 - r*z**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -269, -297, -339, -401, -489, -609, -767?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469.832mg in tonnes?\nAnswer: 0.000003469832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -289041.6188 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:33 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3632\/5 + -726. Which is smaller: s or -391?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(2 - (-6)\/(-2)). Let h be (-2*k\/6)\/(-1 + 2). Is -6\/43 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1966, -1973, -1972, -1963, -1946?\n\"Answer: 4*f**2 - 19*f - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 21 + -11 - ((12 - -3) + 14)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 61. Let j(u) = 2*u + 49. Let n(z) = -5*j(z) - 4*y(z). Let o(l) = 15*l + 2. What is 4*n(p) + 3*o(p)?\nAnswer: -11*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 - 2*n - 24. Let s(i) = -11*i**2 + 3*i + 23. Let w(o) = -5*s(o) - 4*y(o). Is w(-5) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7471828 and -3.\nAnswer: 7471825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b - 10. What is the smallest common multiple of 12 and c(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/19 + 194078*n**2\/19 - 194084*n\/19 - 388160\/19 = 0?\nAnswer: -97040, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 21*l**2 - 19*l - 33. Let k be z(22). Suppose p = -c + 5*c + 12, 0 = 2*p + c - k. Solve -3*o + 7*o = p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 20*u - 30. What is the remainder when 16 is divided by z(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 26, 4, -4, -5083 in increasing order.\nAnswer: -5083, -4, 0, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81125665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130858.\nAnswer: 2, 7, 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2167*a + 13. Let v(i) = -10*i - 2. What is -14*v(j) - 2*y(j)?\nAnswer: -4194*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j - 30317 = -2*v - 85*j, 3 = j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/7)\/((-11)\/77). Let r = 93 + v. Suppose r = 4*n - 3*n. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6012*m = -6024*m + 41688. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1909, 1913, 1919, 1927, 1937, 1949, 1963?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3232 and 3232?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - 4*h**2 + 3*h**2)*((-5 - 41 + 0 + (3 - 1 - 1)*(1 - 5 + 3))*(0 - 1 + 13) + 0 + 1 + 1) as p*h**2 + l*h + q and give p.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 1084*p - 99892. Give w(-117).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218095 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + c**2 - c - 1. Let q(g) = 12*g**3 + 10*g**2 + 76*g - 10. Let f(b) = -10*a(b) + q(b). What is the second derivative of f(t) wrt t?\nAnswer: 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 5\/(-1))*(-4 - -2). Let g(c) = 2*c**2 + c + 1. Calculate g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 282 + 1158 = 0. Let x = 650\/3 - g. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9490 + 9493. Solve 4*w = 5*j - 6, 4*w - c*w + 6 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:44 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -621, -1571, -3303, -6081, -10169, -15831?\nAnswer: -23331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/340 and 161\/1530.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-6) - 10)*(72\/28 + -3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d - c - c, 0 = -3*d - 2*c + 15. Let p be (-1 - -2)*((-4 - -10) + d). Differentiate 7*a**2 + p - 7 + 3*a**2 with respect to a.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -9295 (c) 4\/9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7416449 and 9625716?\nAnswer: 17042165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 3*w + 24, -p - 4*w = -27 - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + sqrt(11))**2 - sqrt(11)) + (sqrt(11) - (sqrt(11) + 5 + -1 + sqrt(11))).\nAnswer: 6*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 + 5*w**2 - 5*w - 5. Suppose 2 = -2*y + 4. Let l be -19*y*(5 - 4). Let q = -9 - l. Let j(m) = -m**3 + m**2 - m - 1. Calculate q*j(h) - 2*a(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1455*d**2 + 17*d - 439. Is g(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/759 and -61\/44636790?\nAnswer: 44636790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 79. Suppose u*b = 11*b - 55. Suppose -240 = -b*f - 5*i + i, 171 = 4*f - i. What is the remainder when f is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 2*l**4 + 3*l**4 + (2*l**2 + 1 - 1)*(3*l**2 + 2*l**2 - 3*l**2) + 0*l**4 + 2*l**4 - 3*l**4.\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 10:46 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 3, x: 3, v: 2, w: 4, o: 2}. What is prob of sequence vn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2 - (0 + -2). Let p be 3 - 4 - d*-4. Does p = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381370 is divided by 410?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**3*r**2 - 6*b**3 + 2*b*r + 7*b - 13*r**2 wrt r?\nAnswer: 16*b**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01801 and 0.493.\nAnswer: 0.00887893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136975571?\nAnswer: 167, 820213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 2*v + 5, v + 19 = 5*w. Let z(j) = 12*j + 42. Let r be z(-3). Let s be 0\/(7 - 3)*(-2)\/r. Solve s = 3*o - 7 + v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*3\/(90\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 6*b + 5. Let a be 46 - 2*(-3)\/(-2). Let o = a - 49. Let v(d) = d**2 - d - 1. Suppose 2*l = l - 1. Give l*y(h) + o*v(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 137.\nAnswer: 5206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -4, 1\/20, 4?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9617437?\nAnswer: 2593, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 11*b**2 + 28*b - 9. Let t be q(7). Let k be t\/(-18) - (-86)\/4. Calculate the highest common factor of k and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.21995 * -0.7.\nAnswer: 4.353965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.42143 and -0.2.\nAnswer: -0.62143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6533128 and 8344.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = -2. Suppose y*k - 120 = -2*k. Suppose 2*u + 146 = 7*u + 4*x, -u = x - k. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -34. Solve -g - 2 = v, 0 = 5*a - 2*g - 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3620 - -191854\/53. Let c = x - -349\/742. Calculate the common denominator of c and 61\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342620885.\nAnswer: 5, 53, 499, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 38 = -5641*x + 5645*x, -k = -x + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 252567504 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 8496*l**2 + 989184*l - 28048384.\nAnswer: -4*(l - 56)**2*(l + 2236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/15)\/(-2 - (-8)\/5). Let n(f) = f**2 + 8*f + 10. Let g be n(-8). Suppose -t*w = -g*w + 4074. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000283 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 0.024 (c) 0.04 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/12 - 36\/(-16). Let v(a) be the first derivative of -7\/3*a**3 + s*a**2 - 16 + 0*a. What is the second derivative of v(c) wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126311903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32788 + -32780. Calculate the remainder when 11781 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025009123 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4761 is divided by 475?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 413009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2213264 and 16?\nAnswer: 2213264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 194*p - 3159. Calculate r(176).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 3*u**2 + u - 2. Let f be m(-2). Let p be -1*(-3)\/9*f. Solve a + 3 - 2 = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v - 14. Let m be r(7). Suppose -a - x - 3*x = -10, m = a - 5*x. What is the greatest common factor of 45 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + (-14 - -21) + -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 98070082*s**2. Let d(i) = i**2. Calculate d(c(r)).\nAnswer: 9617740983486724*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8749 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318.0916 * -0.03.\nAnswer: 9.542748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from yyveehbeybo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - (-24)\/9. Let t(b) be the third derivative of b**5\/30 - b**4\/4 + 1119*b**2. Let a be t(i). Solve a = 3*v + 3*q - 9, 2*q = 3*v - q + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18))**(-33)\/(c*c*c**(8\/7))**(-2\/13) assuming c is positive.\nAnswer: c**(54098\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/10 + 22\/55. Solve -r*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/210 - j**6\/45 + j**5\/30 + 5*j**3\/3 + 3*j**2. Let d(s) be the first derivative of y(s). Factor d(a).\nAnswer: 4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 5) to base 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361.671631 + 1.667511. Let d = 360 + p. What is d rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b - 32*b**2 + 4*b + 31*b**2 + 8. What is h(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**2\/8 - 9861*h\/4 - 66981501\/8 = 0.\nAnswer: -2469, 9043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/40 - (-2)\/10. What is the second derivative of 5*z + 6*z**4 - 3*z**4 - m*z - 2*z**4 wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13999, 4, 2\/1143 in ascending order.\nAnswer: -13999, 2\/1143, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6.7. Let x = 6.1 + -6.1. Which is the third smallest value? (a) t (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**23\/s)\/s**(-1\/6) assuming s is positive.\nAnswer: s**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 - -110. Find the third derivative of -2235*k**3 + 114*k**2 - 34*k**a + 2235*k**3 wrt k.\nAnswer: -816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 - 37. Calculate the remainder when s is divided by (-4)\/6 - 154\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**7\/525 - 7*x**6\/300 - 17*x**5\/150 - 17*x**4\/60 - 2*x**3\/5 + 86*x**2. Solve m(h) = 0 for h.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2814150 divided by 37522?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.552234 rounded to one dp?\nAnswer: -89.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -46. Do -2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7 (b) 2\/13 (c) -0.5 (d) 7\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-2)\/(-2) - 3. Let g be 2\/f + 27\/30. What is the closest to 0 in -4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7466*a - 81842. What is w(11)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-138)\/33 - (-1 + (-6)\/2). Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8270 is divided by 522?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445570 divided by 32.\nAnswer: 222785\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/249? (a) 4 (b) 1269 (c) 28 (d) -2\/7 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 775*s**4 - 28090*s**3 - 45130*s**2 + 573375*s + 1303875 = 0. Calculate s.\nAnswer: -3, 5, 61, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6 - 3. Suppose -5 = -3*c - 26. Let b(f) = -2*f - 1. Let m be b(c). Solve -3*w = 2*s - 11, -g = 3*s - 2*w - m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.297.\nAnswer: 0.1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 4818 + 770. Let a be (-90)\/m + (-22)\/(-242). Does -2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3 - 134\/120 and 222\/(-28) - ((-12)\/3 + 3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10162 - 1463321\/144. What is the common denominator of -23\/6 and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 36 - 13 = 11*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 24*a - 104. Calculate z(-29).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -33739625.99 to the nearest one hundred thousand.\nAnswer: -33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4833 - 7.5907?\nAnswer: -4840.5907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-204)\/8 + (-9)\/(-6). Let o be (m\/(-150))\/(2\/(-10)). Let s = o + 2\/5. Which is the third smallest value? (a) s (b) 3\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 16 = 4*p + 2*f, 17 = -3*p - 4*f. Is (-2)\/p*(-99)\/(-6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -10*j**3\/3 + 4*j - 231. Let p(n) = 10*n**2 - 3. Give -3*c(t) - 4*p(t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*-3*(-18)\/(-135)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:29 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 670 times 0.13\nAnswer: 87.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*z + 10 = 0, -2*v - 4*z - 14 = -11*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - s - 66 = -4, 0 = -g - 4*s + 31. Suppose g*y - 28*y - 90 = 0. Calculate the greatest common factor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/17, -134, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359 bigger than -9516\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 35*d - 69. Let m be n(5). What is the second derivative of -100*u**5 + 3639*u**3 - 3639*u**3 + m*u wrt u?\nAnswer: -2000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -74*g**2. Let w(r) = -14*r. Let b(h) = 6*h. Let f(m) = 5*b(m) + 2*w(m). Calculate f(d(a)).\nAnswer: -148*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/49948 and -111\/20?\nAnswer: 249740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9*3 + 8 + -6. What is the greatest common factor of h and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*w**2 - 985 + 589*w - 9*w**4 - 297*w - 292*w wrt w.\nAnswer: -36*w**3 + 124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*j - 9*j - 38*j + 80*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13204 - 2342303?\nAnswer: -2411012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-25)\/15)*-6 + 5. Let t be 28\/(-72)*2 + 1. Which is the nearest to -0.4? (a) y (b) 1\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 217 + -863a?\nAnswer: -8423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**5\/4 - 3535*f**4\/12 - 7100*f**3\/3 - 7110*f**2 + 14*f + 21. Determine i, given that o(i) = 0.\nAnswer: -2, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*y**4 - a*y**3 - 2*a*y**2 - 1603*a*y - 3*a + 1173196*y**3 + 2*y**2 + 3*y wrt y.\nAnswer: -24*a*y - 6*a + 7039176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.6 + -32.6. What is the fourth biggest value in 3, h, -0.2, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9110 - 364369\/40. Let q = v + 1\/40. Put q, 0.1, 1\/7 in decreasing order.\nAnswer: q, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*h - 9 - 5, 3*h = -3*p + 3. Let r be (-30)\/5*h\/4. Let x be (-1)\/(r - (-52)\/18). Sort -0.5, x, -4 in increasing order.\nAnswer: -4, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 - 2366?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.2724 years in months?\nAnswer: 5403.2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24714 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 106*r - 29*r**2 - 97*r + 26*r**2 + 7 + (r**2 - 2*r + 2*r)*(-3*r - r + 6*r) - 2 + r**3 + 2.\nAnswer: 4*r**3 - 3*r**2 + 9*r + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 74b (base 16) to base 12\nAnswer: 10b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 312571*h - 7189128. Give x(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 9. Suppose -2*n - 27 = 1. Let t be s(n). Which is the biggest value? (a) 0.1 (b) -3 (c) t (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-6) - 2\/(-6). Suppose -o*j + 26 = -10. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -23*f**3 - 2*f**2 + f + 2. Let a be t(-1). Suppose 20 = -2*r + a. Suppose 3*o = -5*d + 7*o + 20, 0 = d - o - 3. Sort d, -3, r in ascending order.\nAnswer: -3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82.75113 greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58.872 and -236?\nAnswer: -13893.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195.6 - -157. Round v to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/2 of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1771 or 1787?\nAnswer: 1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 709825, 709966, 710107, 710248, 710389?\n\"Answer: 141*i + 709684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 - 128*w - 124 = 0. Calculate w.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/134707 - 122987483\/538828. Let s = -204 + 431. Let u = w + s. What is the second smallest value in 0.4, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2529956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:34 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -85880 to the nearest 1000.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/96*176\/(-11)*-5)\/((-5)\/14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2839 = 3*x + 4*l, 3*l + 12 = 0. What are the prime factors of x?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/2 (b) 3 (c) -3 (d) -0.07 (e) 121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22200.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/101227 or 0?\nAnswer: 6\/101227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1910\/70 + 380\/532\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2))**(-27)*(u\/u**(6\/5))\/(u*u**7))**(-11\/2) assuming u is positive.\nAnswer: u**(5357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 2*r - 15. Solve r - 7 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17187 = -5*w - q, -14*w - 3*q = -17*w + 10305. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24929818 rounded to 3 decimal places?\nAnswer: 0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d + 84*d + i = -6, -3*d + 11 = -2*i. Calculate the lowest common multiple of 170 and d.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7641 by 2547.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-987)\/(-846)*680\/(-119).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 19*h - 25. Let m be z(-5). Calculate the highest common factor of 155 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -211?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9358 and 38.4.\nAnswer: 9396.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -0*d. Let a(h) be the second derivative of -2*h - 3\/5*h**5 - 7\/6*h**4 - 2\/3*h**3 + 0 + d*h**2. Factor a(k).\nAnswer: -2*k*(2*k + 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1487, 5, 4 in descending order.\nAnswer: 5, 4, -9, -1487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4102.9 - 4133.9. Sort -103, u, 4\/7, 2 in decreasing order.\nAnswer: 2, 4\/7, u, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -988, -944, -900, -856?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 - (-10)\/(-44)*14. Put -3, -16, h in increasing order.\nAnswer: -16, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33257066 to the nearest integer?\nAnswer: 5767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n + 10*n + (n + 2*n - 2*n)*(5 - 2 - 1) + 55 - 55 - 2*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 4)*(-1 + 1 + 1) + 1 + 3 - 2)*(-f**2 + 0*f**2 - 2*f**2) - 12 + 76*f - 9*f**2 - 69*f - 6*f to the form g*f**2 + h + r*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206 and 601417.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00838 rounded to four dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 8) to base 5\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348250 rounded to the nearest 10000?\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.26, -830094 in descending order.\nAnswer: 0.26, -0.07, -830094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1254\/(-36))\/(-11) + -3 + 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + h**4 + 2 + (-2*h**4 + 6*h - 3*h + 4*h**4)*(-2 - 2 + 3 + (1 - 3 + 3)*(-2 + 3 + 0) - 2 + 6 - 2 + 3 + 3 + 0 + 2 - 2 - 3).\nAnswer: 11*h**4 + 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - 2*s)*(3*s - 6*s + 2*s) - 2*s**2 - 2*s**2 - 2*s**2 - 4*s**2 + s**2 + 4*s**2)*(-8 - 5 + 4).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4621 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - 20*m - 19. Let o be f(-13). Let q = 633 + o. Is q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Suppose -f = 2*f - 30. Let u be p(f). Suppose 2*g = -0*g + u. Solve 3*m + g = -5*r - 5, 0 = -m - r - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578*-0.3.\nAnswer: -173.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 1075, 1782, 2751, 3964, 5403?\nAnswer: 7050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -3. Let w = -24.8 - -34. Let a = -8.8 + w. What is the nearest to 0 in 2, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -13. Let h(u) = -u**2 - 20*u - 29. Let i be h(-18). Let d(q) = -3*q**3 + 6*q**2 + 7. Let n(y) = -2*y**3 + 3*y**2 + 4. Calculate i*n(a) + k*d(a).\nAnswer: -2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19))*6 + (3*sqrt(171) - sqrt(19)).\nAnswer: -12 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 - 11 - ((-41 - -23) + 19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138636 is divided by 45190?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34312784 and 287308?\nAnswer: 240189488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ggggbbbbgbbbpgppbpbb.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 3. Let o be 5*8 + a\/(-6). Let s = -38 + o. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 116\/(-232) + (-15)\/2 + 438. Calculate the highest common factor of t and 1892.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-66))\/(0 - -1). Let o = 60.9 + -61. Which is the second biggest value? (a) o (b) n (c) -1\/162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p**(-2\/7)*p))\/p*p*p)\/p)**(4\/11)\/(((p*p*p**4*p*p)\/p)\/p**(-1\/9)))**(1\/41))**33 assuming p is positive.\nAnswer: p**(-4856\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/9 + 4*h**2 + 20*h\/3 - 100\/9.\nAnswer: 4*(h - 1)*(h + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 3. Let v(a) = -4*a - 14. Let y(n) = -n. Let f(u) = -v(u) - 6*y(u). Let q(i) = -2*f(i) + 11*x(i). Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -807 by 6.\nAnswer: -269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3618, -14 in decreasing order.\nAnswer: 3, -14, -3618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 36060 = 2*f, 25*z = 22*z - f + 27047. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8258361 to the nearest integer?\nAnswer: 2874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 4. Give f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 19 + 3, -x - 3*f - 17 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -101*n + 2. What is j(-2)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/100 + 9*s**5\/100 - s**4\/8 + 224*s**2 + 2*s. Factor v(m).\nAnswer: 3*m*(m + 5)*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 1)*(0 - -2). Let j(v) = -v**3. Let w be j(1). Is 20 a factor of w\/(-4) + 231\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -1131, -3, 4, -2\/15, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k. Suppose -27 - 21 = -3*s. Let a be 24\/s - (-2)\/4. Let n(o) = 71*o**a - 31*o**2 - 38*o**2. Calculate d(n(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 25 = -3*b, r = -3*b - 13. Let l(n) = n**2 + 8*n - 9. Let p be l(-10). Let j = p - 9. Solve j*d - r = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z - 2. Let r be 6 - (-1 + z)*-2. Solve -r*u - 12 = -3*h + 3, -5*u - 9 = 2*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 15, 2\/5, 1\/6 in descending order.\nAnswer: 15, 2\/5, 1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751 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: Divide -12366 by 9.\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3.71, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102304)\/5888)\/(((-21)\/140)\/((-12)\/(-10))).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**37)**(-18))**(-25) assuming j is positive.\nAnswer: j**16650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 3. Let d be (2 - z)*6\/2. Let x be ((48\/(-5))\/4)\/((-15)\/25). Solve -k - d*k + 3*c = -22, 0 = 4*k - x*c - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-119)*(-3995)\/(-329)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -24. Let f = 51 - p. Which is greater: f or 2\/27?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 531 + -19?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 7. Let c be n(-7). Suppose -4*q + 3 + 1 = c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -285 + 287. Solve 5*b = c*o, -2*b - 2*o - 8 = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2*4\/(-44). Let p = 0.19 - 1.69. Let u = -1.1 - p. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 13*z**2 - 3*z**2 + 140.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655 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: Let k(q) = -q**2 - 14*q + 11. Let f be k(-15). Let d be (6\/2)\/((-3)\/f). Solve -3*b = 5*r + 6, d = 2*r - 3*b + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/35 or 0.1?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -10*u - 43*u - 1010 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 2*u - 1. Let m be g(2). Let b be m*(-1 + 1)\/(-3). Suppose -a + 2*a - 3 = b. Solve -8*i + 3*i + 12 = -4*f, a*f = -2*i - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12960 = -3*q, 9*b = -b - 4*q + 32386. What are the prime factors of b?\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u**3 - u. Let j be s(-1). Let c(a) = a**2 + 9*a + 9. Let f be c(j). List the prime factors of (-62)\/f - (-4)\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*f + 15082 + 3494. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(6\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-100))\/(3\/(-4))*49\/(-7).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 7) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -20 - 16. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36129 - 52*m**2 + 2*m + 36129 to the form q*m**2 + s*m + k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 35887765. Let g(o) = -3*o. Calculate g(l(n)).\nAnswer: 6*n + 107663295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 298900 a multiple of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**3\/3 + 3*c**2\/2 - 2*c + 8. Let g(v) = -v. Let s = -22 - -14. Let x = -11 - s. Give x*g(t) - i(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002797638 to 7 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = -5*k - 129, -5*n + 5*k + 160 = 0. Find r such that -n*r + 17*r + 32*r + 3*r**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17486221*t + 17486221*t - t**3 - 4*t**3 - 916*t**2 + 4*t**3.\nAnswer: -t**3 - 916*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9 = -3*d. Suppose z = b - 4, 5*b - d - 1 = -5*z. What are the prime factors of 40 - b - (-4)\/1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l - 3. Let w(k) = 6*k + 1. Suppose -2*c - 5*v - 2 = 0, -c = 25*v - 23*v - 1. What is c*w(f) + 2*g(f)?\nAnswer: 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1920 (b) -1\/4 (c) 0.04 (d) -3\/5 (e) 62 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 129\/8*l - 129\/8*l**3 - 3\/2*l**4 - 33\/8 + 45\/8*l**2 = 0. What is l?\nAnswer: -11, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 y when four letters picked without replacement from yxlxxxxxlll.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/3 - 431*k**2 + 140392*k - 2073680\/3 = 0. What is k?\nAnswer: 5, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (199 - 231) + (-9 - (-3 - 9))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-105)*(3780\/(-24))\/(-63).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*m + 3*b, 0 = -6*m + 4*m + 4*b - 8. Calculate the least common multiple of 2 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22433.\nAnswer: 22433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 832, -3, -22, -1, 20 in decreasing order.\nAnswer: 832, 20, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5860121327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/42227129 or 1?\nAnswer: -2\/42227129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -2*c + c, 8 = -i - 5*c. Suppose -5*g + 12 = -r, g - 3*r + i*r = 0. Solve 7 = -5*f - g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 4073*k**2\/2 - 1812*k + 5520. Find the first derivative of v(h) wrt h.\nAnswer: 4073","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2588 + 6523. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:22 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 46434.29 minutes?\nAnswer: 2786057400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224410767*s - 6021*s**3 - 224403471*s - 17*s**3 wrt s.\nAnswer: -36228*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183294*i**3 - 3*i**5 + 2*i**5 + 183471*i**3 - 686*i**2 wrt i?\nAnswer: -60*i**2 + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -77713 and 0.5.\nAnswer: -77712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/23)\/f))\/f*f**(5\/3) assuming f is positive.\nAnswer: f**(190\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 10*r**2 + 20*r + 54. Let i be h(12). List the prime factors of (-40960)\/(-96)*i\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80255.914 + 80188. Let j = n - -68. What is j rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 578, 588, 610, 650, 714, 808, 938?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*f - 3960 = 0. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991211.\nAnswer: 13, 19, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {v: 1, q: 2, j: 1, d: 2, u: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-3))\/((-2)\/30*1). Let r = y + -14. Let z be 15\/20 - r*(-122)\/8. What is the greatest common divisor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 4673*z**2 + 9*z**4 - 4673*z**2)*(-4 + 2 - 2).\nAnswer: -36*z**4 + 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 11\/2. Let z = 72930 + -72938. Which is the nearest to z? (a) s (b) -3 (c) -2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 6. Suppose 5*d = -35 + 15. Let m be u(d). Let x = 7 - m. Calculate the remainder when 25 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*(-2)\/((-180)\/(-702))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -422*o**5\/5 - 223*o + 39. Find the first derivative of s(t) wrt t.\nAnswer: -1688*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 3 (c) 1\/11 (d) 6 (e) 2 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-12)*12\/(-3). Suppose -2*f = -o - 13 - 10, -30 = -v*f - 3*o. Calculate the highest common divisor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 61177210*q - 187132551169205.\nAnswer: -5*(q - 6117721)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 608 - 556. Let s = u + 558. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/12488 and -21\/592.\nAnswer: 924112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153\/212 + -3\/106. Let o = 286\/9 + -32. Which is the nearest to 3? (a) o (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 473092.3533 + -473072. Let c = a + -20.3. What is c rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose 2*l - l = 2. What is the third derivative of -3*x**2 + 4*x**2 + v*x**2 - l*x**6 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + 1) - (-2*sqrt(99) + -5))**2 + -4*(0 + sqrt(99) + 0 + sqrt(99)).\nAnswer: 144*sqrt(11) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1166*w = 1211*w - 530595. List the prime factors of w.\nAnswer: 13, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/63)\/((-34)\/51)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5 - 637*q**4*y + 3*q**2*y + 27*y wrt q.\nAnswer: -120*q**2 - 15288*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6*(-4)\/(-16))\/((-12)\/40). Solve -d*n - 5 + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 9:34 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmz when three letters picked without replacement from {m: 1, z: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 - -0.196. Let j = o - -0.193. Let c = -7.019 + j. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1128 = -2*n. Let x = -339 - n. Let c be x\/9 + (1 - -1). Solve -5*b + 11 = -3*s + c, 2*s = -6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5360)\/(-120))\/(((-65)\/(-60))\/13)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-26) + (-96)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, 4*l = -3*d + 6*l - 15. Let w(t) = -6*t. Let s(y) = 2 - 2 - y + 4*y. What is d*s(f) - 2*w(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from ixgraeragexaae?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618 and 78486?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 + 70845*m**3 + 27646848*m**2 = 0.\nAnswer: -384, 0, 23999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563260045.\nAnswer: 5, 131, 859939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*1 - (-1 - -2). Let n = -8 - -7. Let v be 2*n\/(-4)*6. Solve 3 = q*f - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/19 in -4.6, -0.1, -13, -6, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369428155.\nAnswer: 5, 73885631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -7000098 and 5\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81545, 163093, 244641?\n\"Answer: 81548*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1218 by 7.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ycyyxhbcyccc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 - 4\/3*j + 33*j**2 = 0. Calculate j.\nAnswer: -2\/11, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, n: 10}. Give prob of picking 3 n.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*6 + (sqrt(121) + (sqrt(121)*2 - sqrt(121)) + sqrt(121))*-3)\/(sqrt(110)\/(-1*sqrt(40))*5).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 690852?\nAnswer: 17271300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*b - 91915 = -262*b - 25015 for b.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2116822 is divided by 100705?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 11*u = 20. Suppose -u - 2 = -2*l. Let g be -35*4\/(-30)*l. Solve 2*o + g = 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, 3\/4, 192, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39137, -39163, -39209, -39287, -39409?\nAnswer: -39587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 123*l**2 - 18*l + 152. Let a(k) = 31*k**2 - 4*k + 38. Let t(z) = 9*a(z) - 2*r(z). What is the first derivative of t(b) wrt b?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225013.14 milliseconds in days?\nAnswer: 0.00260431875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1921347, 3842690, 5764033, 7685376?\n\"Answer: 1921343*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + 6*g**2 - 2*g - 10. Let t be c(5). Is -3*(4 - t\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**4)\/(u*u**(1\/4)*u))\/(u*u**0*u)**16 assuming u is positive.\nAnswer: u**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7139869.\nAnswer: 11, 649079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 15, 3*l = 77*f - 75*f + 406. What is the least common multiple of l and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2719 + 1754. Let r = -77203\/80 - k. Is 1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 29*x + 236. Let h be r(-8). Solve 0 = -5*g - 4*m + 2*m - 13, 0 = -g + h*m + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02068 - 0.07932. What is the closest to r in -148, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 3*j**2 + 5*j + 6. Let n be k(-4). Suppose n*o + 2*r - 9 = 3, 3*r = -o + 14. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f + 1540 = 0. Let t be -507 + 1 + (-6 - -5). Let b = f - t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 907, 2135, 3887, 6163?\nAnswer: 8963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01120049 rounded to five dps?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wzwwzvzwzzjzjz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 431, 540, 755, 1112, 1647?\nAnswer: 2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0.274\nAnswer: -1.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 10*l - 8. Let w be g(9). Let x = w + 33. Solve 0 = -z - v + 4, 5*z = 2*z - 4*v + x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 12*p + 24. Let w be o(10). Suppose 2\/7*z**2 + 0*z + 4\/7*z**3 + 0 + 2\/7*z**w = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 - 2*l + 2*l + (3*l**2 - l**2 + 2*l**2)*(-2*l**3 + 4*l**3 + 0*l**3).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1546.\nAnswer: 13914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -130, -189, -272, -379, -510, -665?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 9. Let d(o) = -13. Let w(t) = 3. Let m(b) = 4*d(b) + 18*w(b). Let s(n) = -4*a(n) + 18*m(n). Let z(k) = -k. Give s(z(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/42*288\/216)\/((-12)\/(-14))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let f = -1.9 - -3.6. Let o = f + -1.7. Is y < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449746544 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.04 + 0.04. Let b = -41 - -58. Let x = b + -20. What is the closest to -1 in 0.1, x, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30276*z**5 + 111360*z**4 - 153208*z**3 + 93440*z**2 - 21316*z = 0.\nAnswer: 0, 73\/87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u\/u**(2\/11)*u**(-3\/5)\/((u\/(u\/u**(3\/7)))\/u) assuming u is positive.\nAnswer: u**(-466\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5719.818748 + 4?\nAnswer: -5715.818748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52072 and 45563?\nAnswer: 364504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.422817 nanograms in micrograms?\nAnswer: 0.009422817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211582489 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: Simplify (-2 + sqrt(252)*2 + sqrt(252) + sqrt(252) + 3 + sqrt(252))**2.\nAnswer: 60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (18 - 5) + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2.1 (b) -782433 (c) -0.4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:29 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -4, 1\/11, -2.5 in increasing order.\nAnswer: -4, -2.5, 1\/11, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 986, 986, 998, 1028, 1082, 1166, 1286?\n\"Answer: v**3 - 7*v + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -58*(-5)\/10 - -1. Let b = k + -28. Factor 0*q**b - 4\/3*q**4 + 0*q + 2\/3*q**3 + 2\/3*q**5 + 0.\nAnswer: 2*q**3*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*o = 10. Suppose 3*b - 10 = h, 6 = 4*h + 5*b - o. Let d = 0 - 1. Is h at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 6) to base 2.\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -8, 0.6572, -4, 0.2?\nAnswer: 0.6572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49985 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 9*a**2 + 6*a + 2. Calculate t(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1690 and 63050.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isj when three letters picked without replacement from {t: 1, z: 2, i: 1, m: 1, s: 2, j: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**3 + 0*x**3 + (1 - x - 1)*(-2*x**2 + 3*x**2 - 2*x**2) + (3*x**2 - 5*x**2 + 4*x**2)*(2*x - 3*x - 2*x) + (x + 12*x - 6*x)*(-x**2 - 2 + 2).\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.267*-8.\nAnswer: -18.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.827 rounded to one dp?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 6610\nAnswer: 264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037675 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.9 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*m + 2*m. Calculate the smallest common multiple of 14 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*19924\nAnswer: 39848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {o: 1, b: 1, d: 7, n: 10, e: 1}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -3 - (0 + -5). Let a = j + 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 divided by 342.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37211, -75976, -114741?\n\"Answer: -38765*o + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + 6) - (-45 - -47).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three quarters of a century?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/14979 - 534247\/29958. What is the common denominator of f and 87\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 2 - h**3 - 2719823*h + 133*h**2 + 2719822*h to q + p*h + m*h**2 + y*h**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*m**2)*(5*m**2 - 3*m**2 - m**2 + (-8*m - 8 + 4*m + 6*m)*(-45*m - 19*m - 14*m)) to the form r*m**2 + x*m**3 + s*m**4 + t + o*m and give s.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1100100?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*m)*(0 + 0 + 11*m) - 107 + 107 + 134*m**2.\nAnswer: 101*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 - (-2 + 0)*1. Let g(z) = -z**2 - 10*z + 4. Let p be g(b). Suppose p*d = -0*d + 20. Sort 1\/9, d, 0.2.\nAnswer: 1\/9, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695\/7 != 4\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 131\/17 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807236471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2340\/(-3744))\/(3*5\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -24, -7, 5, 6\/211 in ascending order.\nAnswer: -24, -7, -2\/9, 6\/211, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6533778 divided by 354\nAnswer: 18457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/13)\/(a*a**(-11)*a) assuming a is positive.\nAnswer: a**(114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 385547.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 7 (c) -532 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9*m**4 + 11*m**4 - m**4 - 17*m**4 - 21*m**3 as g + o*m**2 + l*m + w*m**3 + f*m**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9854964, 19709905, 29564846, 39419787, 49274728?\nAnswer: 59129669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 94 + 92 = 4*v, 0 = 5*v + 2*n - 249. Let f(h) = 147*h - 1. Calculate the remainder when f(1) is divided by v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 22. Determine v(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22117*x**4 + 69548*x?\nAnswer: -265404*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 55.525. Let u = v + 0.025. What is the nearest to -2\/3 in 2\/3, u, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 894 + 0*h - 2641 + 922 + 825.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2)\/(sqrt(9) - ((sqrt(108)\/sqrt(4))\/sqrt(3) - sqrt(9))) + -6*3*(sqrt(60)\/sqrt(4))\/sqrt(5).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 28. What is the units digit of ((-7)\/(-1))\/(z\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 7. Suppose 3*b + 2*q - 5 = 7, -25 = -5*b - 5*q. Suppose 5*j + 4*r = 3*j - 10, -5*r - 14 = b*j. What is the remainder when l(5) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) 2\/7 (c) 4\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:26 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j - 3*x + 19, -x = 3*j - 33. Let r = 14 - 1. Is j at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994466 divided by 3?\nAnswer: 664822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.08438 + 0.08438. Let z = -95\/3 + 32. Let c = 0.08 - 2.08. Sort c, z, -0.1, x in decreasing order.\nAnswer: z, -0.1, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144.5 - 148.5. Let w = 0.3 - 0.1. Let j = 2.2 - 2. What is the nearest to w in f, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17*p**2 - 4*p + 7. Let d(z) = -52*z**2 - 11*z + 20. Let c be (-1)\/(-20 - (-987)\/49)*8\/(-14). Calculate c*d(n) - 11*h(n).\nAnswer: -21*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/8020 + 2506\/2005. Which is the second biggest value? (a) 4 (b) -0.093 (c) 0.2 (d) 0.5 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.474 (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 3 - 0)\/(-2). Suppose -35 = -7*l - s. Suppose 0 = -m - 3*x - 7 + 112, 0 = l*m + x - 455. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvdepev. Give prob of picking 1 v and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*z - 53. Suppose -2*h = -c - 257, -c = h - 138 + 11. Calculate the greatest common factor of z and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrvrrrdryrrerdkyy. What is prob of sequence ker?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*i - 3*r, 16*r + 32 = 4*i + 12*r. Calculate the least common multiple of i and 165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 55 - 47. What are the prime factors of d?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 3017\/20. Let s(l) be the second derivative of 0*l**4 + 1\/3*l**3 - 3*l + d*l**5 + 0 + 0*l**2. What is the second derivative of s(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 421734308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2546.3453 from 54.\nAnswer: -2492.3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2265.500228 - -2.\nAnswer: 2267.500228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 404, -0.2 in ascending order.\nAnswer: -0.2, 0.4, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-380))\/(338\/87880).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 5*q + 5*q + (-2*q**2 - 2*q**2 + 5*q**2)*(1 + 1 + 0).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:05 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*n - 14, n - 1 = -5*u + 7. Solve 5*f + 4 = -u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -385*h**4*i**3 - 5*h**4 - 2183*h**2*i**3 - h**2 wrt h.\nAnswer: -9240*h*i**3 - 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70678 by 139.\nAnswer: 70678\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - x + 9. Suppose -8 = -4*v, 0 = 2*u + 3*u - 2*v + 414. Let t = 82 + u. Determine m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 3*n**2 + 2*n + 1. Let t be x(-2). Let f be (-7)\/(-7)*(-1)\/1. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b + 1 + b - 1. Let y(t) = t - 4. Suppose -2*w = -3 + 7. Let o(h) = -2. Let i(m) = w*o(m) + y(m). Calculate v(i(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s. Let x be r(-1). Find the second derivative of q - 2*q**3 + 8*q**2 - x*q**2 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**2 - 3*h. Is n(1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(5808) - sqrt(5808) - (2*sqrt(5808)*2)**2)*6*-4.\nAnswer: 3168*sqrt(3) + 2230272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 + 492. Suppose -15*y + 2 - v = 0. Let h(w) = w**3 + w**2 - 2*w - 3. Calculate h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55723 is divided by 144.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2520081.877373 + 2518752.878. Let o = 1329 + x. Round o to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/2530)\/(69\/((-59202)\/104))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -63286.\nAnswer: -33\/31643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178314 or 178313?\nAnswer: 178313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 388 - 261. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 3, 0.091, 0.5, -1, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/92*36\/(-10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315932402.\nAnswer: 2, 47, 3360983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 i when three letters picked without replacement from kffffbikf.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -496, 5, 1 in decreasing order.\nAnswer: 5, 1, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18375411.\nAnswer: 3, 6125137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -107. What is the remainder when 2\/8*(y + 5) - 4 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 8*i + 4, -20*l + 6 = -17*l + 2*i - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b6243 (base 13) to base 6.\nAnswer: -142421553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c - 24. Let q be (-2 + -3)\/(0 - 1). Suppose -c*w + r = -w - 64, q*r = -20. What is the greatest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - i = -169, 12*d - 143 = 9*d - 4*i. What is the remainder when 50 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqf when three letters picked without replacement from {f: 2, q: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.15 + -1.85. Let x = v + -3.43. Which is smaller: x or 0.11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w - 9. Let l(r) = -r - 3. Let h be l(w). Suppose g = -h*g + 11. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2139 = t, 4*r + 278 = -3*t + 6694. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/36*-4*-6)\/((-6)\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151*-0.32.\nAnswer: 48.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36258868 divided by -18129434\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2445086, -2445108, -2445130, -2445152, -2445174?\nAnswer: -2445196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 - 7 = 0, 2*b + 58 = -2*k. What is the remainder when 33 is divided by (-3)\/(k\/(-12) - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1892784 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 0, 3*v + 2*s = 2*v. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*b**2*r**3 + b**2*r**2 + 2*b**2*w + b*r**3 - r**3*w - 3*r**2*w - 3*w wrt r?\nAnswer: 534*b**2 + 6*b - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56515466027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-430)\/(-1376))\/(2\/(-8)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*t - 1032*t + 267*t + 226*t + 267*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -595*h - 18555 - 7030 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -38. What is the remainder when (6\/4)\/(j - (-65)\/30) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1490.009 millennia?\nAnswer: 14900.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u + 144*u**3 + 7 + 7*u - 245*u**3 + 135*u**3 - 4*u**2 as f*u + o*u**2 + r + k*u**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 48*r**2 - 180*r - 20. Let o(d) = -7*d**2 + 27*d + 3. Let i(v) = -40*o(v) - 6*u(v). Let a(c) = 16*c. Calculate a(i(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 24. Determine n(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 9. Let c be y(-7). Let h(s) = s + 6. Let u be h(-2). Factor 3*i**2 - 4*i**4 + i**2 + i**4 + c*i**u.\nAnswer: -i**2*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 26 = 5*g, -g - 137*c = -135*c + 10 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:05 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owtowrtwoiwtwtit. Give prob of sequence ow.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 637250?\nAnswer: 637230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15d2a - 0?\nAnswer: 15d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 2*q**2 + 6*q**2 - 3*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i + 21 = 47*i. Let v(j) = -2*j**2 - 15*j - 4. Let d be v(i). Let 0 - 4\/3*o**2 + 0*o + 2\/3*o**d = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:10 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 211*c + 12 - 16*c as a*c + r and give a.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (4 + (-2 - 1 - (-80 - -79))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.85 + 42.8502842. Round n to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:26 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a - 5. Let u be y(6). Let o = 38 - u. Let d = -23 + o. Put -3, d, -2 in increasing order.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9996359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64604 - 64604 - 3*w - w + 7*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 11. Let l(c) = -c + 4. Let h = -42 - -45. Suppose i = -h*i - 360. Let g be (4\/6)\/(20\/i). What is g*f(v) - 8*l(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0224 * 15\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from {k: 4, j: 6, a: 1, h: 1, t: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 3*f)*(10 + 11 - 19).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1343361234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-660)*-11*21\/(-6)*10?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/10*(-80)\/(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1057770726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b)*(0 - 2 + 1)*(-4*b + 2*b + b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1267931834, -1267931833, -1267931832?\nAnswer: -1267931831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -154*k. Let m(y) = -151*y. Calculate -4*h(u) + 3*m(u).\nAnswer: 163*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -2 - 2*-1. Suppose 8*r = 3*r + w*n - 20, -15 = 5*r - 4*n. Solve -2*a + 5 + r = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -308*j + 311*j - 25, k = 3*j - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -1\/60*n**4 - 1\/300*n**5 + 0 - 3*n**2 + 0*n - 1\/30*n**3. Solve i(w) = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63439, 66553, 69667, 72781, 75895, 79009?\nAnswer: 82123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/12 - j**3 - 2*j**2 - 6*j. Let r be (-7 + 19)*2\/(-4). Give f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 800.586 * 0.3\nAnswer: 240.1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 + -73. Suppose 6*f - k = 3*f - 3*p, -4*f = p - 129. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 28*i**2 - 57*i + 76. Let l be x(-30). Let v be 8\/(-15)*(4 + 77\/l). Suppose v + 4\/5*k - 4\/5*k**3 - 4\/5*k**2 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272493850?\nAnswer: 2, 5, 17, 113, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d + 57. Let z be (0 - (0 - -3)) + d. Let f(u) = -u**3 + 9*u**2 + 10*u + 7. List the prime factors of f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*o + 0 = 3*n - 364*o - 3, -4*n - 2*n + 5*o - 82 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from auubhhauuhau?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*l + 3*f - 13, 5*l + 5*f = 35. Which is the biggest value? (a) 1\/2 (b) l (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3 + 17432*w**2 + 2469880*w + 86788800 = 0?\nAnswer: -70, 8856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omh when three letters picked without replacement from ohmmmhhh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 5\/2*b**5 + 9\/8*b**3 + 0*b + 0*b**2 - 57\/8*b**4 = 0. Calculate b.\nAnswer: -3, 0, 3\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**(-6\/5))\/x))\/(x*(x*x**(-12))\/x)*x**(-1\/14)\/(x*x*x*(x**(2\/19)\/x)\/x))**(-1\/15) assuming x is positive.\nAnswer: x**(-12799\/19950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1127 + 2253\/2. Which is the nearest to x? (a) -8 (b) -6\/11 (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2840 = -w + 2836 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160.023 - 0.023. Let x = f + -159. Let a be 2*1*10\/(-4). What is the nearest to x in 5, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.607255 millennia?\nAnswer: 760.7255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 11:29 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g. Solve g = 2*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/21 + 2 + (-10 - ((-864)\/63 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 - 1706*b**4 - 15232*b**3 - 33784*b**2 - 20256*b = 0. What is b?\nAnswer: -844, -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -229.\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (11 - 3)\/4. Suppose -h = -2 - w. Suppose 3*l = -3*c, 0 = h*l - 2*l - 5*c - 18. Solve -4*v + 2 = -b, 5*v = 5*b + l - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8545*z + 61*z**2 + 3*z**3 + 8545*z.\nAnswer: 3*z**3 + 61*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22.4 + 329\nAnswer: 306.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6518871 and 622.\nAnswer: 13037742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11154210 is divided by 531149?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3863162979 to the nearest one million.\nAnswer: -3863000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.44 - -53.440005373. What is m rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67805374 rounded to the nearest ten thousand?\nAnswer: 67810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1\/1) + -34 + 22082\/671. Sort -1\/7, 1\/3, -2, u.\nAnswer: -2, -1\/7, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 10. Let r(x) = x - 3. Let b be r(5). Suppose 8 = -0*j + 4*j. Let w(s) = j + 1 - 4 + 0. Give b*h(t) + 18*w(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5987511799*h - 1036*h**2 + 5987511799*h.\nAnswer: -1036*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3877 in -77\/12, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 + 25*g**2 + 64*g**2 + 35*g**2 + 77*g**2 + 142.\nAnswer: 201*g**2 + 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 + -29223?\nAnswer: -29222.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-3 + 7 + 3 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/150302601 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}