diff --git "a/data/dm_maths/full_data_2/1799_11255.jsonl" "b/data/dm_maths/full_data_2/1799_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1799_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n(a) = -171*a**2. Let y(r) = r**2. What is y(n(x))?\nAnswer: 29241*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l - 34. Let x be f(-6). What is the highest common divisor of 180 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/((-982044)\/(-3039660))\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 257\/3. Let u = 107.6 - 108. Let x = -3.06 + 0.06. Which is the closest to 2\/3? (a) u (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.3 (c) -11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5806102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7137b (base 13) in base 14?\nAnswer: 53c4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 6*c + 21. Calculate f(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -920, -1774, -2544, -3188, -3664, -3930, -3944?\nAnswer: -3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12981, 12986, 12981, 12960, 12917?\n\"Answer: -c**3 + c**2 + 9*c + 12972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.6 + -20.219. Let l = y - 0.081. Which is the nearest to 0? (a) 1\/2 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 9*i**4\/2 + 2*i**3\/3 - 17*i**2 + 6*i - 3. Is 59 a factor of w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -9 (c) 1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = -5*n, -2*p + p = -5*n - 19. Suppose -p*u = 3*a - 78, -4*u = a - 6*a - 62. What is the remainder when 52 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819974?\nAnswer: 2, 3, 13, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458 and 340294.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/7 - 5508*p**2\/7 + 11010*p\/7 - 5504\/7 = 0. What is p?\nAnswer: 1, 2752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4530895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = -4*c, -2*c + 20 = -4*l - 4*c. Let g(s) = -s**2 - 13*s - 10. Let u be g(l). Calculate the highest common divisor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 - 7 = 0. Suppose 2*z - 2*y - 308 = 0, m*y - 752 = -2*z - 3*z. Suppose 5*c = r + 3*r - z, 0 = -5*r + c + 190. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - (-67)\/4. Let c = 30 - v. Let j = 20 - c. What is the lowest common multiple of 1 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19686 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -0.5 (b) 3\/4 (c) -2\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1\/9, -0.0201?\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**5\/60 - 3*d**4\/8 + 3*d**3\/2 - 5*d**2\/2 + 5*d. Let a(r) be the first derivative of n(r). Is a(-7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 21815187?\nAnswer: -21815203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 48. Suppose 945 = -b*i + 17*i. Suppose -9*s = -0*s - i. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1337.043958 - -1337. Let r = 0.044 + f. Round r to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 2*o + 10*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**3 - 36*w**2 + 3*w - 12. Give o(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 - -128. Let i(l) be the second derivative of -3\/2*l**2 - 3\/4*l**3 + 0 + l - 1\/8*l**p. Let i(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2663 + 1407 + 204*q + 1297)*(0 - q + 0).\nAnswer: -204*q**2 - 41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101270.\nAnswer: 2, 5, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (834\/20)\/3 + 3 - (-362)\/(-905)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2456*d + 630025. Determine j(291).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -14. Suppose 0 = 4*x - t*x + 12. Suppose 853 = -x*m + 5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:52 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = -4. Solve -5*g + f = -0*f - 4, -l = -2*g + f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11485080 a multiple of 1046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Let o = p - 3. Let w = 0.2 - 0.1. What is the closest to o in w, -4, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -4*(-915)\/6. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212626 + -12626. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 43053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3451)\/238)\/(1\/4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2. Suppose 46*x - 902840 = -161826. Let y(n) = -16109 + x + 13*n. What is y(l(w))?\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-12) - (-129)\/18. Let j(n) = -n**3 + 8*n**2 - 8*n + 9. Let m be j(s). Solve -m*l - 2 = 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:21 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 590\/(-40) - -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0551 + 4.4471. Let r = 0.608 + u. What is the nearest to 0.1 in -68, r, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p + 45. What is the remainder when a(-8) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/2 - 7*k - 44. Let u(a) = 2009*a**2. Calculate f(u(g)).\nAnswer: -6027*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 8*w**2 + w**2 - w. Calculate a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -403916 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34652, -69506, -104360?\n\"Answer: -34854*o + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 73.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1418 - 1?\nAnswer: -1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304*l*o**3*p**2 - l*o**2*p**3 + 2*l*p**2 - 14*l*p + 34*o**3 - o*p wrt p.\nAnswer: 608*l*o**3 - 6*l*o**2*p + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1830)\/(-244)*(-4)\/15. Let o = -3.5 + 0.5. What is the nearest to o in -2\/7, h, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 + 3)*(-33*m + 9*m + 23*m - 124) in the form n*m + v and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 1435\/275 - (-4)\/(-10). Let t = 0.014 - -0.086. Which is the nearest to t? (a) -5\/2 (b) -1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 67*q**3 + 5*q**2 + q - 8. Let w be (-60)\/(-25)*20\/(-6). Let t be a(w). Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 4, h: 3}. What is prob of sequence eqe?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + 147\/9. Suppose 2*n + 2*n = r. What is the third derivative of -2*g**2 + 0*g**n + 3*g**4 + g**6 - 3*g**4 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -179*a. Let w(z) = 31*z. Let f(t) = 183*t. Let p(j) = f(j) - 6*w(j). Calculate h(p(x)).\nAnswer: 537*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000612902 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200\/(-50) - (-21966)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 4*k - 13 = 19*l, 2*k = -2. Suppose -2*n - 3 = -3*n. Suppose -a + r = -1, 4*r + 4 = 2*a + 3*r. Solve -5*d - w - a = -26, l*w + 21 = n*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 5) + (2 - 2). Let z = 9 + r. Solve z = -2*p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18739886.\nAnswer: 2, 11, 851813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = -51*u + 54*u. Let r = 348 - u. Let c(n) = -4*n - 5. Let a be c(-6). Calculate the greatest common divisor of r and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -112*i - 669. What is p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -91*z + 614. Let v(y) = -91*y + 610. Let q(a) = 5*u(a) - 6*v(a). Find the first derivative of q(w) wrt w.\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 7*a**2 - 6*a - 7. Let r(b) = -b**3 + 5*b**2 + 3*b - 9. Suppose -3*f - z + 16 = -2*z, 3*z + 3 = 0. Let p be r(f). Give t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912650 to the power of 1\/2, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4588 <= -4589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2752*g**2 - 38*g + 32. Let d be a(28). Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = 0, -5*s = -d - 39 - 13. Is 4 a factor of 30\/4 + s\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:59 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a + 206*a**2 - 406*a**2 + 238*a**2.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 equal to 27046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p = -69 - 83. Suppose 4*f + w - 68 = -12, -w - 56 = -p*f. Solve 0 = -2*u - 4*a - f, 8 = 3*u - a + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135505 is divided by 19355?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1552*i**2 + 800*i**2 + 78 + 757*i**2.\nAnswer: 5*i**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2315320*g + 3*g**2 - 2315320*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 10*i + 1. Let y(q) = -10*q**3 - 2*q**2 + 2. Let j be y(1). Calculate a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1708756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 0 + ((sqrt(272) - (1 + sqrt(272)*-1)) + sqrt(272))*6 + -4)**2.\nAnswer: -2016*sqrt(17) + 88324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -35. Let q(k) = 91*k - 2. Is q(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5*f + 6. Let c be z(-4). Suppose c*s + 35411350 = 8811350. Round s to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**3\/7 + 6152814*x**2\/7 + 2461124*x\/7.\nAnswer: 2*x*(x + 615281)*(5*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/391, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -12. Let y = 33 + h. Let z(k) = -10*k**2 - 290*k + 39. Let o be z(-29). What is the highest common factor of y and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/1008 + z**7\/210 - z**6\/180 - 3*z**2. Factor t(f).\nAnswer: -f**3*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-12 - 1)) + -2. Let h = 22 - i. Suppose 4*r = 239 - h. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + h = -111, -3*h = 2*g + 3*g - 185. Suppose -5*c + g = -48. Let d(b) = -b**3 + 5*b**2 - 3*b + 5. Calculate the remainder when c is divided by d(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 1\/(2\/(-4)). Suppose z = -3*u - 8 + 2. Let m(a) = -27*a**3 + 3*a + 1. Is m(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((-2 - 0) + 66 + -62) - -5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + -11)*(-4 - -5) + 3. Solve n = 115*f - 109*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -801 by 203.\nAnswer: -801\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -27.9. Let s = -24.63 + v. What is s rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 - 104 - 1)*(-5*s**2 + 4*s**2 + 3*s**2 + 11*s**4 - 2*s**2).\nAnswer: -2310*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1517*o**2 + o + 3841*o**2 + 2786*o**2 + 3942*o**2 + 2209*o**2 as r*o + k*o**2 + c and give k.\nAnswer: 11261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7276319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 109683527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -8066.89677.\nAnswer: -8066.89677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - 60 - 90\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l - 30. Let x(r) = -2*r - 10. Let g(j) = 3*u(j) - 8*x(j). Let c(a) = -a**2 - 8*a + 2. Let q be c(-8). Let n be -2*(1 - q) - -4. What is g(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2 - 3. Let i(c) be the second derivative of 1\/2*c**2 + 0 - 1\/6*c**3 + 12*c. What is i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6018 divided by 438.\nAnswer: 1003\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(2880) + 4 + (sqrt(120) + (sqrt(120) - (sqrt(120) - sqrt(120)*2*-5)))\/sqrt(6)))**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.86255472 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(32) - (-2*sqrt(3) + 2).\nAnswer: -2 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -562990, -562992, -562994, -562996, -562998?\nAnswer: -563000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, -1\/40, 1?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d - 4*u, -3*d - 4*u + 27 = 2. Let y = -16.8 - 114.2. Let o = y - -128. What is the third smallest value in o, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 79359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6537025, -6537013, -6536987, -6536941, -6536869, -6536765?\n\"Answer: z**3 + z**2 + 2*z - 6537029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(6)\/sqrt(3) + (sqrt(8)\/(1*sqrt(4)))**2.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-375)\/2*10\/5. Let z be ((-696)\/9)\/((-1)\/w). Round z to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 61. Suppose 11*i - z*i = -288. What is the highest common divisor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*o + 216*o - 105 - 48 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(78\/90)\/(-13)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -3*sqrt(36)\/(sqrt(768) - (sqrt(768)*4 - sqrt(768)) - sqrt(768)).\nAnswer: sqrt(3)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*r**2 - 15*r + 15*r)*(5*r**3 - 2 + 2) + 3*r - 3*r + r**5.\nAnswer: -24*r**5 + 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*((sqrt(180) - (sqrt(180) + -1)) + sqrt(180) + sqrt(180)) + 4) - (4 + ((sqrt(1080) - 2*sqrt(1080) - sqrt(1080))\/(sqrt(6)*1*2))**2).\nAnswer: -204 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {p: 1, u: 2, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**4\/5 - 43266*a**3\/5 + 77716032*a**2\/5 + 1015896672*a\/5 + 626234112 = 0. Calculate a.\nAnswer: -8, -5, 3612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, 1 n, and 1 b when four letters picked without replacement from lnmlnsnsbnl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -13, 13, 41, 71, 103, 137?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 - 7*o**2 - 5*o**2 + 5*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -137, -148, -159?\n\"Answer: -11*a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265.\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 638014175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:20 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-1))**(2\/57) assuming t is positive.\nAnswer: t**(-2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1182 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -1\/3*h**3 + h + 0*h**2 - 4. Give q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 177849.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.192 - 20.142. What is the closest to -2\/7 in -0.1, 0.1, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7194*d + 7934983. What is v(-1103)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/85 - (6495\/(-1925) - -2))*-14\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-14)\/(-21))\/((-8)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3516*n - 3521. Calculate v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:03 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - a - 19, l - 37 = -4*l - a. Let j = l - 5. Let u = j - -10. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 + 61*c - 20. Let l be i(4). Which is smaller: l or 451\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 65*k**2 - 4*k + 227. Give w(65).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 11.72474 nanograms?\nAnswer: 0.00000000000001172474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1404, -1054, -470, 348?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 265 = -145. Let s(g) = g - 21. Calculate s(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Let s be m(-5). Suppose s*r + 58 = 398. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*t = -249*t + 105. Solve -t = 8*z - 37 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006982454 rounded to five decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 140*y**3 + 2*y**2 + 441*y - 2. Let r(g) = 279*g**3 + 5*g**2 + 882*g - 5. Let p(k) = 5*j(k) - 2*r(k). What is the second derivative of p(m) wrt m?\nAnswer: 852*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 798*o**2 + 829*o**2 + 2*o.\nAnswer: 31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -4\/3 (b) -1\/18 (c) 5 (d) -146\/117 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9234.88352195 + -0.48092195. Let a = c - 9259.4. Let l = 25 + a. Round l to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148 or 1910\/9?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 64 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -310121203300 (base 4) to base 14\nAnswer: -1b77c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 + -163 + (0 - 10) + -60 + -20?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003600 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:56 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 52 = -388. Let d = -39 - x. Suppose p + 4*b + 4 = 0, 0 = 6*p - d*p + 5*b + 5. Solve 0 = 4*r + 2*l - p*l - 22, 3 = 3*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(20)*-2)\/(sqrt(640)*-1) + ((sqrt(50) + 0)*2)**2 + -5 + -3.\nAnswer: sqrt(2)\/4 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 2027322*q - 2055017245842.\nAnswer: -(q + 2027322)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1915*m - 33409*m**2 + 1910 + 66811*m**2 - 33397*m**2.\nAnswer: 5*(m - 382)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 11*l**2 + 10*l + 3. Give p(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -834065*j + 834100*j - 1225 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(55\/25 + -2). Suppose s = 2*j + 39. Is ((-162)\/j)\/(1\/(-4)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -15 + 17 + -22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14*0*53\/636.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-25) - (-6)\/(-10). Suppose -n*g + 50 = -g. Suppose -5*s + g = -0*s. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = v - 28, 5*v + 5 = -2*w - 8. Let y be w + 18 + (1 - 0). Suppose -y = -4*f - 0*f + a, -f - 4 = 3*a. Solve -14 = -3*j - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 0*d = 144313. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 162900*u + 977472.\nAnswer: -2*(u - 6)*(u + 81456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -47*v**2. Let h(c) = c + 1. Let l(d) = -5*d**2 + 25*d + 25. Let n(p) = 25*h(p) - l(p). Determine n(z(u)).\nAnswer: 11045*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5\/183685198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -854 divided by 2\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -81*i + 2. Let p be (-31)\/8 - (-55)\/(-440). List the prime factors of t(p).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52d486 (base 14) to base 15.\nAnswer: 3a55a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 1\/4, -3\/10, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -0.53880945.\nAnswer: 4.46119055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 59950\/(-2145) - (-3 + 298\/234*1)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8065610 is divided by 2688156?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -232 + 266. Calculate the remainder when p is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(50\/1000)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3186 and 146394.\nAnswer: 8637246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 245427 = -245635 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2316 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41932 - 41896. Solve -550*x = -554*x + k for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -470039012*s**4 - 39*s**2 + 2349692*s.\nAnswer: -11280936288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/128 of a week in seconds?\nAnswer: 14175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:13 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1546 = -37*m + 12*m + 3979. Solve 2*d = t - 9, -d - 4*t + 212 - m = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -63. Suppose 14*p - 7653 - 1181 = s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 11) in base 16?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.999998 + 37. Round v to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 180\/(-144)*(0 - (-2)\/(-10)). What is the closest to i in 5, -0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/106097617 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -12. Suppose -18 + i = o. Find the common denominator of -13\/18 and 39\/o*9\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6919*a - 7402*a = 5796 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.900315649 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 4*u + 2. Let q(b) = -2*b**3 - 9*b**2 - 6*b - 1. Let w(j) = -q(j) - 3*r(j). Let c(l) = -l**2 + l + 1. Give 6*c(n) + w(n).\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142570379, 142570383, 142570387, 142570391, 142570395?\n\"Answer: 4*m + 142570375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -464a1 + -776?\nAnswer: -46c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) -1820 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 7*a + 8. Let q be m(6). Let i = -1 + q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2343\/8 - -1189\/4. Suppose 3*f - 125 = 4*m, 2*f - 3*m + 150 = 6*f. Calculate the common denominator of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4 - 31 - 53 + 6 + (-6 + 1 + 3)*(3 + 2 - 4) - 5 + 3 + 1)*(61 - 63*q - 61).\nAnswer: 5166*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 26. Let t(w) = w + 9. Let z(o) = -3*j(o) - 8*t(o). Suppose -5*s + 3*s = -6. Let q(x) = x**2 - 2*x - 3. Let h be q(s). Calculate z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 70, -3, -0.2, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 10) to base 5\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 21. Let y(t) = t**2 - 9*t. Let f be y(9). Let i be x(f). Let z = -7 + i. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - g)*(0 + 3 + 3).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55028594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42434877, -42434875, -42434873, -42434871, -42434869, -42434867?\n\"Answer: 2*h - 42434879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 18\/2 - (-22119)\/2760 and 89\/26.\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f - 17. Let i(r) = 4*r - 8. Let p be (-2)\/(-6) - (-8)\/(144\/102). Let q(m) = p*a(m) - 13*i(m). Calculate q(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33049? (a) 0.3 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 81?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 646?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = 3. Suppose 12 = -m + 5*m. Suppose q*p = -m*p + 25. Solve -x + 3 = -p*s + 6, 5*x - 8 = 2*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 19 - 19)*(0*q - 3 + q + 2).\nAnswer: -6*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -5*j, 12 = -g - 2*j - 4. Let r be g\/36 + (-320)\/12. Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -122897, -246516, -370859, -495926?\n\"Answer: -362*f**2 - 122533*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -10. Let r be (21\/u)\/(2\/(-4)). Solve -t = -1 - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249166961?\nAnswer: 2249166961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 2?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*y - 8*y. Let i(z) = 3*z**3 - 4*z**2 - 4. Let t(f) = -f**3 - 7 + 2*f**3 - 7*f**2 + 2*f**3 - 4*f**3 + 6*f**3. Calculate y*i(p) - 4*t(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -248346000 to the nearest 1000000.\nAnswer: -248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 14. Suppose -4*w + 19 + 9 = -5*h, -3*h = -5*w + 22. Suppose i = -5*a - 13, -7*a + w*a - 11 = 2*i. Calculate the lowest common multiple of p and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-40))\/((-49)\/(-490)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 10. Let a(y) = -y + 1. Let j(k) = 5*a(k) - c(k). Let u be j(-6). Is 1 - (3 + u*-235) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + i = -3*i - 24, i - 11 = 3*f. What is the units digit of f - 4\/(-8)*58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 10*w**2 - 3. Let h be l(10). Let k(v) = -v**3 + v**2 + 4*v + 2. What are the prime factors of k(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5200076 to the nearest integer?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222572 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 10*n**2 + 2*n + 7. Let a be v(-10). Is a less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68579?\nAnswer: 7, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:20 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436\/3 + 145. Which is the nearest to v? (a) -2 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135 - -139. Let c be 37 + w*2\/(-8). What is the highest common divisor of c and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111800.0317 plus 0.021?\nAnswer: -111800.0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-49)*66)\/(1275\/5355*12\/10).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2707 and -7168.936.\nAnswer: -9875.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -123. Let w(n) = h + 3*n**2 + 8 - 11. Let y(o) = 34*o. What is w(y(g))?\nAnswer: 3468*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 9 = 4*z, 0 = 1484*p - 1486*p + 3*z - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 22*y - 13. Let z(m) = -10*m**2 - 67*m - 38. Let q(j) = 7*l(j) - 2*z(j). What is the units digit of q(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 6472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262201 is divided by 412?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 186 in -2, 0.1, -0.5, -12.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1937*n**4 + 577 wrt n?\nAnswer: 7748*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725685564 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 84\/(-16)*(36\/(-54) + 1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65736135902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnyxmxf. What is prob of sequence xxm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 8886597\nAnswer: 3554638.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 3*a - 3. Let z be n(-4). Suppose -x = -z - 1. Suppose -q + x*q + 1 = -o, -4*q = 3*o + 7. Solve -o*b - 8 = -4*c, 3 - 1 = -2*b + c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 11. Let i be ((-2)\/(-6))\/(3\/27). Suppose -i*t = 4*t. What is j(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from fzfznzozqfgnnzfz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 38. Determine b(-13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + -2 + (-5 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 2*p**3 + p**3 + 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6915600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/98*2\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126340773.\nAnswer: 3, 13, 3239507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29677 (base 11) to base 9\nAnswer: -63635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*-4)\/sqrt(12) + sqrt(1920)\/sqrt(6).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.38581402.\nAnswer: -0.77162804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-1)\/(-7) - (-2)\/(-7))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1003.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106035805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1648*l + 149. Is w(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.52, -6?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 47. Solve y - 5*y - r = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 29*m**6\/360 + 31*m**3\/6 + 38*m**2. Let i(l) be the first derivative of u(l). Let b(r) = -2*r. Determine i(b(s)).\nAnswer: 116*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a factor of 45084600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -193 and 151.5.\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32686 and 205969.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/3560281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 345230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 2 h when four letters picked without replacement from nwnwwwwwhwwwhnwhwn?\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/549 + -23293\/30744. Let a = 65529\/14 + -4680. Find the common denominator of a and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8489 - 12688 = -14*i + 13277. List the prime factors of i.\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 + 122*p - 3721 = 0. Calculate p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1666*u - 483 + 819*u + 852*u to w*u + i and give i.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**7\/210 - u**6\/30 + 7*u**5\/100 - u**4\/20 + 11*u. Let o(n) = 0. What is n?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-198)\/15 - (-4)\/(-5). Let r be ((-6)\/s)\/(2\/14). Suppose 5*f = -5*n + 85, f - n = -r*f + 43. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 3*s**2 + 2*s. Let b be a(-1). Let c(n) = 29*n**3 - b*n + 2*n**2 + 3 + 0*n + 29*n**3 - 57*n**3. Calculate c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from jqcqkqv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -23. Which is the nearest to 6\/13? (a) -1 (b) -5\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(350)\/(sqrt(30)\/sqrt(3)))\/sqrt(7) + sqrt(80) + -1*sqrt(80)*3 + sqrt(80))**2.\nAnswer: 90*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35337237400 rounded to the nearest one million?\nAnswer: -35337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38912743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 3. Let r = -3 - -5. Let f be w(r). Solve 0 = 2*u + 7 + f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*c**2 + 0*c**5 - 7*c**2 + 2*c**5 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2969)\/(87\/11 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 2, b: 2, u: 4, p: 4}. Give prob of picking 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-2\/77)*t*t**(-21)*t**(2\/31)\/t**(-2) assuming t is positive.\nAnswer: t**(-40487\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/4 (c) 35 (d) 2 (e) 0.4 (f) -12184\/7 (g) 4\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249958 is divided by 3618.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/420 and 173\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*j = 5*j - 32, 3*c - 26 = -4*j. Suppose 3*i = -5*r - 42, -3*i - 3 = -2*i - 2*r. Calculate the lowest common multiple of 16\/6*i*(-8)\/12 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1075, -4, 2, 5, -3, 14 in descending order.\nAnswer: 14, 5, 2, -3, -4, -1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(1*sqrt(9)) + 5)*-1.\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 197162.22 to the nearest 1000.\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/((a\/a**(-2\/11)*a*a)\/a)))\/a*a*a)\/(a\/(a*a*a**(2\/7))))\/((a**(-2\/9)\/a)\/a)**(9\/10) assuming a is positive.\nAnswer: a**(575\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(18)*2)\/sqrt(6) + sqrt(12) + -3 + -1*sqrt(48).\nAnswer: -8*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((39\/(-18))\/13). Let t be 12\/q*14 + 0. Suppose -s - 4*m = 2*s - 112, 0 = 2*s - 5*m - 113. What is the greatest common factor of s and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355906843?\nAnswer: 1355906843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 184 + 677. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*c + 34 = 0, -2*h + 5*c - 293 + 288 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412395279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -85*g - 2*g + 402 = -20*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62091.7 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(144)*-4 - sqrt(144))\/sqrt(8))\/(sqrt(864) - sqrt(864)*-1 - sqrt(600)*2).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(84))\/(sqrt(192)*3).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -n, 5*m - m - 3*n - 7 = 0. Let q = 3 + -1. Solve -g - 3*t - 7 = 0, q = 3*g - 3*t - m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22255 (base 6) to base 8\nAnswer: 6073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, i: 2, p: 1, a: 2}. What is prob of sequence apj?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joojuugfugbjo. Give prob of sequence juo.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*z - 4*a = a + 805, 4*z + 15*a - 8*a = 4*a - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -27. Let c be 2\/5 - d\/5. Let x(h) = h**2 + 4*h + 2. List the prime factors of x(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15309 and 2673.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9668 < -9526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1c6a9 (base 16) to base 10\nAnswer: 116393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) -31 (c) 5 (d) 200 (e) -3 (f) 0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r**3 + 639 - 1253 + 614.\nAnswer: -63*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**3 - 27*i**2 - 12*i + 4. Let j be a(-4). Put 3\/5, j, 2.86, 3\/7 in descending order.\nAnswer: j, 2.86, 3\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213254531 (base 6) to base 8.\nAnswer: 64745167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 205583064 to the power of 1\/2, to the nearest integer?\nAnswer: 14338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.2, 14, 1259, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-945)\/28)\/15*140\/(-21). Solve 0 = -3*x + y, -g - g - 23 = -5*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 5*i**4\/12 - 10*i**2 + 8*i. Factor o(m).\nAnswer: 5*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**2 + 58*u**2 - 7157872*u + 7157872*u - 8*u**2 - 15*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let c = 0.04 + 2.96. Let u = c - q. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + -2 + (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**3 - 6*j**2 + 11*j - 10. Determine w(2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1150 divide 463380359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82432\/1024*(-26)\/(-455)*(-60)\/16?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 877 - -5?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38105815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234.24338 - -192.244. Let i = n + 42. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 51. Let s = 21 - w. Suppose r - s*z - 44 = 0, -4*r - 4 = -4*z - 184. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.02 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 6838*y**2 - 118976*y - 12113660416.\nAnswer: 2*(y - 1157)*(y + 2288)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1 + v**2 - 10*v**3 - 7*v**3 + 2*v + 12*v**3. Let q = -3 - -2. Let n be i(q). Solve -7 = -n*x + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761091*d**2 - 1826*d + 1826*d + 761091*d**2 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -n - 23. Let v = 31 - n. Solve -13*i = -v*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.5299 - -2.4701. Sort -0.5, a, 0.1, -2\/85 in decreasing order.\nAnswer: a, 0.1, -2\/85, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -3, 2\/3, 12\/5, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**2*r*v**2 - k**2*r - 63*k**2*v**3 - k**2*v + 22048*k*r*v**3 - 4*k*r*v**2 - 5*k*v**2 + 20*r*v - 49 wrt v.\nAnswer: -378*k**2 + 132288*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 18*m - 6. Let x(l) = -3*l**2 + 54*l + 17. Determine -17*k(p) - 6*x(p).\nAnswer: p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*d**2*n*t**2 - 2*d**2*t**2 - 342*d*t**3 + 27*n*t**3 wrt n?\nAnswer: 29*d**2*t**2 + 27*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + 2 + -4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 123. What is the common denominator of ((-2)\/3)\/((-22)\/t) and 1\/((-18)\/120)*(-2)\/(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 < 206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 65 - 65 + 70)*(g - g - 3*g) to r + a*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402 divided by 6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - -2*sqrt(162)) + 3 - (sqrt(162) + sqrt(162) + 1 + sqrt(162) + sqrt(162) + 2 + sqrt(162))) + -2*sqrt(162) + 0 + 4)**2.\nAnswer: -216*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 + -2?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*y + 48941 - 21184 - 22711 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45139 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1426838083, 1426838079, 1426838073, 1426838065?\nAnswer: 1426838055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1200 * -0.5\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, 5.6, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 1\/(-2) + 19074\/204.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*l - 416*l - 31 + 96 + 44.\nAnswer: -76*l + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 7 - 13)*(3 - 2 + 0)*(-7 + 7*w + 7) - 8*w - 9*w + 18*w in the form o*w + s and give o.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -17. Let i be (-3)\/v*(-8)\/3. Let y(d) = 30*d + 7. Is y(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4296\/819)\/8 + 4\/(-6). Let g = -97\/546 - i. What is the fourth smallest value in -5, g, -1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i**2 - i. Let m(d) = d**2 + 8*d + 2. Let u be m(-8). Let t(x) = -3*x**u - 2*x + 4*x**2 + x. What is r(v) - t(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 12. Calculate the highest common divisor of q and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3077\/17 + 8\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 19479*p**2. Let n(r) = -104*r**2 - 206*r**2 + 308*r**2. Give n(g(a)).\nAnswer: -758862882*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051004336 to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 645440 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358230.6s to milliseconds.\nAnswer: 358230600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246280 and 3760.\nAnswer: 492560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110 (base 3) in base 4?\nAnswer: 11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/w**7)\/w)\/((w\/(w\/w**(2\/17)*w))\/w))**8 assuming w is positive.\nAnswer: w**(-424\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:55 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 5. Let g = -4 - -6. Let l be g + -1 - (-8)\/(-1). List the prime factors of k(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from cyyqqzfqczcfjycf?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1111010001111111111?\nAnswer: 1111010001111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6150782 is divided by 2050216?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from bsfoos.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8 + 0 - m + 14 + 3*m - 3*m. Let j(u) be the third derivative of -u**4\/24 + 7*u**3\/6 - 17*u**2. What is -4*d(o) + 3*j(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - -35 - (3 - ((-160)\/(-85))\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 n when three letters picked without replacement from ncnnnnnnncnnnnnncncc.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t - 1. Let p(n) = -11*n - 2. Let r(h) = 4*p(h) - 5*y(h). Let z(b) = 2*b - 4. Calculate 7*r(f) - 5*z(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - q - 1)*(-4 + 0 + 2)*(1 + 5*q - 1) as s + g*q + b*q**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s. Let k(i) = 63*i. Let w(x) = 36*b(x) + 5*k(x). Let g(l) = 18*l. Calculate g(w(y)).\nAnswer: -162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 2c37347?\nAnswer: 2c37348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.19 (b) 2 (c) -657 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:38 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.241558 + 195329.941558. Let a = z - 195330.499937. Let g = 0.8 + a. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 4*r = -16, -353*w + 6*r + 33 = -181*w - 177*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 2. Let v(z) be the first derivative of -z**3\/3 + z**2 + 2*z + 12. Let h(y) = -4*v(y) + 5*x(y). Let t be (-3 + 6)*3\/3. What is h(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 74.63 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1188131.1345037 and 5.\nAnswer: -1188126.1345037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000543 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x + 17. Let t be h(3). Solve u + 0 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3733\/6 + 624. What is the common denominator of 12\/48 + (286\/40 - 1) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15190 is divided by 158?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4407 - 32644923163.\nAnswer: -32644927570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-546)\/(-28)*(-3 + -209 + -6)*-2.\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1137292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 11:38 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 1 + sqrt(539) + -1 + 1*sqrt(539)*5 + -4 + -1 + sqrt(539) + -3 + -5))**2.\nAnswer: -4704*sqrt(11) + 106220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*l - 24*l + 393*l to f*l + x and give f.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 13716*x**2 + 13723*x**2 + 3*x**3 - 15*x**3 + 108.\nAnswer: -12*x**3 + 7*x**2 + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 0 + 0 + (2*p**4 - 3*p**2 + 3*p**2)*(-8*p - 2*p + 2*p) - p**5 + p**5 - 3*p**5.\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4298 is divided by 251?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7651 by 7.\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*q**4 - 1161501*q**3 - 48396*q**2.\nAnswer: 3*q**2*(q - 16132)*(24*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -31)*(-1)\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6 + (-12 - (-97 + 7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:04 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (11 + -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (6 + -9)) + (1 - (-5 + 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/491190 and 26\/21.\nAnswer: 491190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 55\/4?\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-15\/8))**(-14) assuming i is positive.\nAnswer: i**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1478344704 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.6999571 + 49.7. Round r to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.9 times -0.01066?\nAnswer: -6.373614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*y - 29 - 35 = 0, 4*a - 5*y = 125. Suppose 2*u - 9 - 21 = 0. Solve 4*o + u = n, 3*n + a - 1 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 423462126*p**2*t + 3068931*p*t - 56*t wrt p?\nAnswer: 846924252*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35676, -71289, -106844, -142341?\nAnswer: -177780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 223\/2 + 6\/12. Calculate the greatest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 70. Let m = -0.01 + -6.99. Let v = m + 10. Which is the nearest to v? (a) 1 (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.005, 0.1, -4 in descending order.\nAnswer: 0.1, -0.005, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303421222 - -10?\nAnswer: -303421212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4014, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2063, -4121, -6179, -8237, -10295, -12353?\n\"Answer: -2058*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 1 + 1 + 7*s + 2*s**2 - 7*s + (5*s - 4*s - 2*s)*(-s + 3 - 3) + 4*s**2 - 2*s**2 + 0*s**2 + 0*s + 0*s - s**2 + 1 - 1 - 2*s**2)*(0 + 0 + 2*s**3).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((108\/696)\/(-9)*2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6 - 26*w**5\/5 - 13*w**4\/2 + 6*w**3 + 16*w**2 + 8*w + 49. Determine t, given that i(t) = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93134162.\nAnswer: 2, 11, 19, 97, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 34494?\nAnswer: 1448748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(2 + -709) + (12 - 20 - -3). What is the smallest value in k, -1, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529881?\nAnswer: 3, 11, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-42))\/(54\/(-840))*(-3)\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 239732*i\/3 + 7183928978\/3.\nAnswer: 2*(i - 59933)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13904207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -9, 11, -2.\nAnswer: -9, -2, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3 + 3. Let r be (-8)\/18 + k\/9. What is the closest to -0.1 in -5, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-6))\/(50*(-81)\/4050)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11022136?\nAnswer: 2, 877, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5980*t + 714. What is the units digit of d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 13. Suppose 5*z = 1 + 29. What is x(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**6\/60 + t**5\/40 - 7*t - 15. Let l(v) be the first derivative of b(v). Factor l(n).\nAnswer: -n**3*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 - s**4\/4 - s**3\/2 - 10*s**2 - 3*s - 9. Let b be h(6). What is the greatest common divisor of 35 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466145 rounded to the nearest ten thousand?\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12489*t**3 - 8*t**2 + 17*t - 13 wrt t.\nAnswer: -74934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3057226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*s - 4029, -16186 = 735*j - 739*j - 2*s. Does 30 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, -5*n + 9*n - 4 = -5*h. Suppose 0 = 5*z + 5*a - 40, -z - 4*a + 16 = -a. Does 9 divide n - (z - 3) - -27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -89*n**2 - n. Let v be g(1). Let t be ((-4)\/(-6))\/(5\/v). Let p = t + 7. Which is the nearest to 1\/4? (a) -0.4 (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94 and -73520112395.\nAnswer: -73520112301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 65\/2. Suppose 42*m + 84 + 0 = 0. Let g be ((-12)\/(-6)*m)\/((-700)\/10). What is the nearest to 0.1 in c, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(500) + sqrt(500) + 2)*-5 + (2*sqrt(500) + 2)*-2.\nAnswer: -140*sqrt(5) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 32 = 88 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 4*x - 276, 5*n - 5*x = 695. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20853\/5 + -4171. What is the closest to -2 in -11, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35660785633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3365*t - 124600 = -1619*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n + 4. Let r(d) = d**2 + 20*d - 22. Let k be r(-21). Let g be c(k). Let p be (-20)\/(-6)*18\/4. What is the greatest common factor of g and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 + 3*w**3)*(5 + 6 + 9)*(-1 + 3 - 3) + (3*w + 2*w - 3*w)*(w**2 - 3*w + 3*w) + w**3 + w**2 - w**2.\nAnswer: -57*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300991893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -29*l**2. Let k(m) = -8*m**2. Determine o(k(u)).\nAnswer: -1856*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = 7*n + 330. Solve -2*z + 1 = q, -2*z - n*q = -16*q - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 39 - 12 = 0. Suppose 4*t = 43 + u. Solve -t = 4*l + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151130 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153)\/(sqrt(9)*1) + (sqrt(17)*-1)**2*-5 + 1 + -2*sqrt(17) + 4 + (sqrt(17) - sqrt(34)\/sqrt(2))).\nAnswer: -400 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -11. Suppose -j = -2*j. Suppose j = h - o*h - 350000. What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 - 532 = -19*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l**(2\/7)\/l)*l**2*(l**(1\/3)*l)**(18\/5))**24)**24 assuming l is positive.\nAnswer: l**(211968\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 30 - (-3 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -116, -152, -168, -164, -140?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(3\/10))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 20 = -9*u, -5*z + 10 = 5*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 3:41 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -560 + 566. Let z(t) = -2*t - 22*t**2 - 34*t**2 + 58*t**2 + 1 + 0 + x*t**3. What is z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtrgtgtrrbtfrrbo. Give prob of picking 1 t and 1 b.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -121 and -123 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 15*x**2 - 26*x + 3. Let o be r(13). Solve 0 = -4*z + 5*v - 4*v - 8, -z - 2 = o*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268 divided by -8268?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 904910380 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(13\/(-26)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199515 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -5.253.\nAnswer: 0.10506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12*j**3 - 6*j**2 - j - 9. Give r(-3).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110 - -101?\nAnswer: 10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1598 - -1599. Are z and -2\/69 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 15*g**2 - g - 9. What is a(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*j + 2)*(2 - 2 - 6*j)*(-1 + 1 + 5*j)*(-8*j**2 + 4*j**2 - 3*j**2).\nAnswer: 420*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102323 bigger than 102220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -41.9. Let u = 42 - s. Let k = 1 - 6. Which is the biggest value? (a) k (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-2 + 3)*2. Suppose 4 = 4*b, 4*k + k - 11 = 4*b. Solve 0 = 5*z - 5*p - 15, -k*p = -y*z - 0*p + 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5*(-101990)\/31. Suppose -1313 = -3*q + n, -3*q - 2*n + d = 9. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3\/12 - 181*q**2\/4 - 32761*q\/4 - 374. What is j in f(j) = 0?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2701904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -18 (b) 1\/4 (c) 12\/5 (d) 32 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/7 (c) -9 (d) 5 (e) -273 (f) 4 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 59 + 172 - 9*o - 3*o - 2*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 + 4*j**2 + 4*j + 2. Let m(o) be the first derivative of o**4\/4 + o**3\/3 + o**2\/2 + o - 194. Calculate 4*m(y) - w(y).\nAnswer: -y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159 = 196*i - 17 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/24 - l**2. Let i be 7 - 1\/(-5*1\/(-10)). Let y(h) = 7*h + 5*h + i*h + 3*h. Calculate 15*k(c) - y(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2188766*c*g + 611716*g + 1 wrt c?\nAnswer: -2188766*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17688, -0.5 in descending order.\nAnswer: 17688, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1894106259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)\/d**3)\/(d**(-1)*d**2))\/((d**6\/d*d)\/(d*d*d**(3\/2))*(d*d**0)**(-1\/13)) assuming d is positive.\nAnswer: d**(-527\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*x + 2316, -5*x + 3387 + 505 = -3*f. Let o(c) = -28*c + 2. Let n be o(-7). Suppose -202*k + x = -n*k. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -4, 1\/6.\nAnswer: -4, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 6:37 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 35 = 2*w. Let n be (-21)\/(3\/w*6). Solve -3*m + 6 = -4*d - n, -m + d = -5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 - n + 2. Let u be i(2). Let g be -10*(-3)\/u*-2. Is (-2)\/4*(g - 579) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 9 + 0*x + 117*x + 8.\nAnswer: 117*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 5. Suppose -88 = 2*p - 3*k, -5*p + 2*p + k - 118 = 0. Let a = -34 - p. Let h be i(a). Which is greater: -15\/8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95463?\nAnswer: 3, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*n - 4*x - 13, 4*x - 1 = 5*n. Suppose 5*u + 5*c + 5 = 0, 4*u + 0*u = -n*c - 1. Suppose -u*t + 225 = -3*s, 3*s = t - 0*t - 117. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**5*z**3 + 313*p**4*z**3 + 941*p*z**3 wrt p?\nAnswer: 80*p**3*z**3 + 3756*p**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + k)*(3*k - 3*k - 4*k**4)*(3 + 0 - 15).\nAnswer: 96*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4293 is divided by 307.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 10. Suppose -2*k - b = -k. Let l be k\/92 + 10\/8. Solve l = 3*g + s, -10 = -g + s - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*o - 67206, 3*y - o + 79709 - 281320 = 0. List the prime factors of y.\nAnswer: 2, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500 divided by -100.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 272247 less than -4885502?\nAnswer: -5157749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 12:20 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 6. Let n(w) = -143*w**2 + 4*w + 129*w**2 + 9*w**2 - 4*w. What is q(n(v))?\nAnswer: 25*v**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -1. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 2*f. Let m = -6.7 + -0.3. Let q = m - -6.5. Sort q, -1\/4, f in descending order.\nAnswer: -1\/4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 960 = -7*p. Suppose 0 = -3*u + m + 105, -3*u - 5*m = -m - p. Suppose 0 = 7*c + 6 + u. Let x(g) = g + 8. What is x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 not equal to 1897651.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 509*n + 36639. What is p(-72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 7*b**2 + 4*b + 1. Calculate the remainder when c(-6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 3*o - 3. Let v be k(-2). Let m be (-5)\/(15\/(-18)) + v. Let r be 1\/(1*(0 + 3)). Sort r, 5, m in ascending order.\nAnswer: r, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -2\/173.\nAnswer: -5, -3, -2, -2\/173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -421 + 423. What is the second derivative of 9*g + 5 + 164*g**y + 2 - 19 + 8 - g wrt g?\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221143343 (base 5) to base 16.\nAnswer: ea2f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 11*x**2 - 1902*x + 2401. What is n(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 13*p. Let c(s) = 2*s**2. What is d(c(o))?\nAnswer: -8*o**4 + 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 2. Let t be y(-4). Let v be t\/35 + (-24)\/(-14). Let p(b) = 4*b**2 - 2*b - 2. What is the tens digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.39, 0.3, -16, -82?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -156, -188, -254, -366, -536, -776, -1098?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 22\/3, 1\/431?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 937580688 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(((sqrt(270) - sqrt(270)*1)\/sqrt(10) - (-3 + sqrt(675))) + -3)**2 + 1.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:25 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*i**2 + 409*i + 1355*i**2 - 409*i.\nAnswer: 1086*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -c - 6*c. Suppose 4*k - 22 = 6*k + 3*v, -5*k - c = -v. Let j be (2 - (2 + 1))*-1. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 + 4 = 0. Let p = 0 + 1. Put x, p, 4 in ascending order.\nAnswer: p, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 3. Let t be f(0). Let j be ((-1)\/(-2))\/((-2)\/t). What is the second biggest value in -4\/9, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2578822?\nAnswer: 10315288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 2*q**2 + 3*q - 2. Let x = 5 + -3. Let n(c) = c**3 + c**2 - c - 1. Let f(d) = x*n(d) - p(d). Find the second derivative of f(u) wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 837306?\nAnswer: 1674612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(44) + sqrt(11)) + sqrt(40)\/sqrt(2)*3 - sqrt(140)\/((-2*sqrt(14))\/sqrt(2)))\/((-1*sqrt(2156) - sqrt(2156) - sqrt(2156))\/(1*sqrt(891))).\nAnswer: -23*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s. Is -2\/95 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -48?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257\/4 - 1807\/28. Is n > -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, 8302, 0.\nAnswer: -1, 0, 2, 5, 8302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtt when four letters picked without replacement from {m: 9, q: 2, t: 6}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(110))\/(sqrt(640) - sqrt(640)*-1 - sqrt(640) - sqrt(640) - sqrt(640)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*1*(-1)\/15*-5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/(10\/(-8)). Let b = 77 - 79. Put b, a, -3 in decreasing order.\nAnswer: a, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166769 is divided by 314.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 - 5*s**2 - 5*s + 5. Let p = -17 - -10. Let k(i) = 9*i**3 - 7*i**2 - 7*i + 7. What is p*d(y) + 5*k(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/(-98)*(-64)\/(-6)*(-966)\/4. Calculate the greatest common factor of o and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1 plus 0.73?\nAnswer: -13.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 - m + 3. Let f be y(3). Let p be 9\/6*(2 + f). Suppose z + 4 = -s, p*s - 4*z = 8*s + 16. Solve n + 3*v + 24 = 5*n, 4*n + 3*v = s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90744*i**4*y**2 + 10*i**3*y + i*y**2 + 726430*i*y - y**2 wrt i?\nAnswer: -1088928*i**2*y**2 + 60*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + -2 - 6 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 50 (b) -3 (c) 2\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72 - -5?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -2 + -2 + (-3918 - -3938) + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/5965 - 387719\/35790. Let p(s) = 18*s**3 - 8*s**2 - 4. Let t be p(8). Let m = 139261\/16 - t. Find the common denominator of m and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/30 + v**2. Let k = 8 + -5. Let g(r) = k*r**2 + r**2 - 6*r**2. What is g(z(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 28*w + 2. Let f be r(14). Suppose -3*m = -f*o + 11, 0*m + m = -5*o + 19. Suppose -296 = -o*i + 2*u, 4*u - 25 = -9. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134984197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-152)\/(-26) + (-10)\/(-65). Let f be (-33)\/(-88) + (0 - 5\/n). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0)\/(0 + 1). Suppose 2*n = -2*i - 2, -7 = -5*n - g*i + i. What is the remainder when 3 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4673 - 10581?\nAnswer: -15364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1615*i**2 - i + 9. Let v(u) = 1080*u**2 + u - 6. Determine 7*v(l) + 5*x(l).\nAnswer: -515*l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t*w**2 + t*w + 650*t + 404*w - 20 wrt w.\nAnswer: 4*t*w + t + 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 242360 divided by 20\nAnswer: 12118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -53. Which is smaller: g or 8\/27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -20. Let n = r - 8. Put 2\/9, 2\/3, n in increasing order.\nAnswer: 2\/9, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370746 and 58917.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 112 = -4*d. Let m = d + -3. Solve 0 = 2*i - 10, -23 = -3*x + m*x - 4*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 30*g - 25*g = 3, -g + 9 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92, 22, -78, -208, -368, -558, -778?\n\"Answer: -15*l**2 - 25*l + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15472 and 16?\nAnswer: 15472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 3. Let j be z(-2). Let y be (-48 + 0)\/(5\/15 - j). Suppose 0*o - y = -2*f - 2*o, o + 36 = f. Is f a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 29. Let j(r) = -17*r - 54. Let b be j(z). Calculate the highest common factor of b and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2646 is divided by 2629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117427, 117286, 117145?\nAnswer: 117004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*m**2 - 2529*m**2 + 506*m**2 - 5*m**3 + 510*m**2 + 508*m**2 + 525*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 - -229.53. What is g rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 + 21*y**2. Let x(f) be the third derivative of 1\/120*f**6 + 0*f**3 - 25*f**2 + 0*f**4 + 0 + 1\/15*f**5 + 0*f. Calculate 2*q(b) - 11*x(b).\nAnswer: -3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(1\/24)\/(y\/(y\/(y*y\/(y*y*(y**2*y)\/y*y*y)))*y**2))**(2\/25) assuming y is positive.\nAnswer: y**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(475) + (3*sqrt(2736))**2.\nAnswer: 5*sqrt(19) + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/120)\/((2\/60)\/((304\/(-19))\/(-64)))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*d**2 + 2 - 21*d**2 - 32*d**2 - 221*d**3 as u*d**2 + x*d + r*d**3 + a and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865.213 microseconds in hours?\nAnswer: 0.0000007958925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 + 4*s - 9. Let g(a) = -9*a**2 - 6*a + 14. Give -5*g(l) - 8*z(l).\nAnswer: -3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 4903366 + 116*n**4 - 4903366)*(2 - 6 + 2).\nAnswer: -232*n**4 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696210 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -2 - (2 - 1). Is 26*(u - (-3)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132696897*r**6*u + r**4*u - 119*r**2*u - 216*r**2 + 15*r*u - 2*r - u wrt r?\nAnswer: -15923627640*r**3*u + 24*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2 - 10*s + 11*s**2 + 7 - 10*s**2 - 3. Let l be r(11). Calculate the greatest common divisor of l and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:29 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 222 - 221 - 251*q**3 + 6*q**4 - 4*q**4 + 2*q**2 in the form b*q**4 + h*q**2 + s*q**3 + l + v*q and give s.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228636 = -33*x - 24*x + 21*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43929367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4024 is divided by 3005.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 3 - 2*a**2 + 410*a - 415*a. What is y(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41150 is divided by 687?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -42.31?\nAnswer: -126.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/35 + 3\/35. Let u = 0.11 - -4.89. Let x = u + -7. Which is the nearest to x? (a) k (b) 0 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v - 45. Suppose -5*z - 2 = 3*i - 21, 0 = -3*i - z + 11. Solve -5 = -i*a + v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 22*o + 91. Let l be r(6). What is the highest common factor of l and 434?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -29 - 42 - -170) + -31?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12.64. Let w = -3.36 + g. Which is the nearest to w? (a) -0.5 (b) 2\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 47\/16500423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -65.9?\nAnswer: 1383.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/7, 2, 1.2, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 25*b**2 + 32*b - 118. Determine a(-23).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 1, b: 1, z: 1, v: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 27377.8 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 28*x**2 - 27*x - 60. Let g be j(29). Is (-7355)\/4*(-4 + (g - -2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 1 = 10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 12, -1, -35, 5 in descending order.\nAnswer: 128, 12, 5, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 21*m + 22. Let f be t(-11). Let v = f + -251. Is v equal to -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*f**5*z**2 - 2*f**3*z**2 + 13*f**2*z**2 + 17*f**2*z + 2*f**2 wrt f?\nAnswer: 8520*f**2*z**2 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -643\/5 - -128. Which is the closest to -1? (a) i (b) 5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-316)\/790)\/(2\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3, 2*y - y - 3*f = 6. What is the units digit of y*16\/(-9)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 942782 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1432669007 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1496, 4833, 8170, 11507?\nAnswer: 14844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beefeppeepssj. What is prob of sequence bfj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16438\/4 + 8\/(96\/18). Suppose 0 = -5*d + 2*f + 8564 + 11988, d = f + b. Suppose -8*z + d = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97406.53 days in milliseconds?\nAnswer: 8415924192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(28\/12096*27).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(7)*3)**2 + sqrt(7) - (sqrt(35)\/sqrt(5) + 5)) + 2*((sqrt(175)*1)**2 + sqrt(7)) + 4.\nAnswer: 2*sqrt(7) + 1924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3865444.\nAnswer: 7730888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 13*z**2 + 837*z - 7156. What is g(8)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 28. Suppose 0 = -2*s + 2*n - 12, -2*n = -5*s + n - 24. Let q be d(s). What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 11*w + 1. Let p be j(10). Calculate the highest common divisor of p and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 17 - (115 - 94).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/26 - 46\/299. Solve t - 6 = -2*f - f, 5*f + 5*t - 10 = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/7, 8\/13, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58083686 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 22*z + 1175 = -23*z, -i = -3*z - 221. Find the third derivative of i + 164*s**2 + 10*s**4 - 236 + 245*s**6 - 10*s**4 wrt s.\nAnswer: 29400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*k - 3*s, 5*k + 3*s + 1 = s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 144188726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/5))**(10\/9)*(h**(-1\/4)\/h)\/(h*h\/(h*h**0\/h*h)) assuming h is positive.\nAnswer: h**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from mdjxttrmd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -18. Suppose 2*l = s + 4. Solve -9 = 5*y - l*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -568*p - 73. Is o(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -246.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31612 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -14*f**3 - 5*f**2 + 10*f + 14. Let p(c) = -9*c**3 - 3*c**2 + 7*c + 9. Determine 5*g(h) - 8*p(h).\nAnswer: 2*h**3 - h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a microgram in nanograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 39*h**2 - 2*h. Is w(2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*j + 5*j + j)*(-4*j - 2*j + 2*j) - 70296*j + 70296*j + 32*j**2)*(0 + 3 - 2) to m*j + i*j**2 + a and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - t**3 + 2 + (2 - 1 + 0)*(-4*t**3 + 5*t - 5*t) + 37*t**3 + 5*t**3 - 158*t**3.\nAnswer: -121*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -4\/55*z**5 + 0*z**2 - 1\/33*z**6 - 2 - 1\/22*z**4 + 0*z + 0*z**3. Solve g(w) = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7631, -0.3, 5, 1\/7, 5\/3.\nAnswer: -0.7631, -0.3, 1\/7, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide (2868696\/30)\/18 + (-5)\/((-50)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-80)\/120*(-19)\/((-1596)\/9)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 51 (b) -1\/2 (c) -4 (d) -1 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-18))\/(2585\/(-27918)).\nAnswer: -84\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1819 + 1.17. What is r rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.284063 and -0.01.\nAnswer: 0.00284063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 3\/5 (b) 0.3 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -6, -0.3, 5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235, 93, -1, 32, -2, 5 in increasing order.\nAnswer: -235, -2, -1, 5, 32, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1236761588 + 0.0351.\nAnswer: -1236761587.9649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*c - 1853*c + 1013 = 21980 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 6. Let p = 0.99 + 0.01. Which is the closest to p? (a) 0 (b) w (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13551 - -53442?\nAnswer: 35451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {t: 1, e: 1, r: 5, m: 1, g: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (913 - 15 - 37)*(0*i + 0*i + i)*(0*i**2 - i**2 + 3*i**2).\nAnswer: 1722*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 9:53 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38086779 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -109. Suppose 0*u = 3*u - 60. Suppose -2*m - u + 50 = 0. What is the greatest common divisor of j and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -197, -5, -4, -4358 in increasing order.\nAnswer: -4358, -197, -24, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2176 and 512?\nAnswer: 8704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11082531064786 and -0.07?\nAnswer: 11082531064785.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 934000 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w + 21. Let t(z) = 5001*z + 6. Let p be t(w). Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 4*c - 3. Let s be y(5). Suppose 0 = -5*p + s*b + 20, 5*b = -4*p + 5*p - 4. Let m be (-2 + 2)*p\/(-8). Solve m = q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -156101 and 9324.9.\nAnswer: -146776.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11880\/(-32)*(-3268)\/22059.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25710256 and 3536.\nAnswer: 25710256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z**13*(z\/(z*z**8\/z*z*z*z*z*z))**(3\/17) assuming z is positive.\nAnswer: z**(908\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5820*z + 854. Let a(d) = 7*d. Determine b(a(x)).\nAnswer: 40740*x + 854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittttttttttitttttt. What is prob of sequence ii?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 u when four letters picked without replacement from {y: 5, s: 2, u: 2, z: 5, f: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - 10100110?\nAnswer: -11100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 714\/(-189) + 2\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7 = -b, -b = 4*h + 2 + 3. Let s(f) = 4*f**2 - f + 1. Let z(v) = 9*v**2 - 3*v + 3. Let j(k) = h*z(k) + 5*s(k). Calculate j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, m: 3}. Give prob of sequence mmh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 0*f + 0*f + (-8*f - 5*f + 7*f)*(-130 - 6*f + 130) as r*f**2 + l*f + q and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -13*c**3 - 553. Let h(p) = p. Calculate h(k(r)).\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3*a + 28 - 7 - 11 - 7 + 5*a. Calculate p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251029576 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 3*q**2 - 5. Let f(y) = y + 5. Let t be f(-8). Let p be r(t). List the prime factors of 2\/11 + 1426\/p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 130. Determine f(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 712434983756?\nAnswer: -712434983756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007471 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(2\/3))**(2\/31))**(3\/16))**36)**(-1\/7) assuming w is positive.\nAnswer: w**(-9\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 24 = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418 by -11.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439.12 rounded to the nearest ten?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116411, -5, 0.2, 2\/7, 1\/22.\nAnswer: -116411, -5, 1\/22, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28734 by 1193.\nAnswer: 28734\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 3:36 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*d + 2 + 2 = 0, 4*d = -2*h + 16. Let l = 6 - 4. What is the remainder when 9 - (l - (3 - h)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + p + (2 + 3 - 3)*(-4*p + p + 5*p) + p + p - p + 7*p - 3*p + 4*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*((sqrt(102) - 1*sqrt(102))*-3)\/(sqrt(72)\/(sqrt(300) + sqrt(12))))**2)*-1*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/55 and -9\/180627850.\nAnswer: 1986906350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**5\/7 - 128*m**4 - 52732*m**3\/7 - 577432*m**2\/7 + 2970864*m\/7 - 3195936\/7 = 0.\nAnswer: -27, 2, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674874944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3 - 5*a + 9*a - 3*a. Let h be (-581)\/(-4648) + (45\/(-8))\/(-3). Calculate d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/5? (a) -12 (b) 2\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -6.4. Let x = i - 4. Let q = -0.500015 + x. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -124450346152?\nAnswer: -124450346183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -g + 390, -39*g = -35*g + 2*z - 1506. Let h = g - 368. Calculate the remainder when 22 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -587.8, -2\/13, 2\/3, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from kkp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 92 + 97 - 15*s.\nAnswer: -15*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/90*10*231*42\/462.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.105 + -0.065. Let m = 1.1 + -1. Let j = c - m. Round j to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**2 + 41*h + 17. Give x(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 13*r - 2 + 8*r + 3. Let l be g(5). Suppose -l - 5 = -2*v. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 320 = 5*y. What are the prime factors of 12*(y\/12)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 37*g**4\/30 + 478*g**3\/15 - 39*g**2\/5 - 5*g + 8. Determine n so that v(n) = 0.\nAnswer: -13, 3\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -26*l + 4. Let q be s(-4). Let g be 212\/8 - (-1)\/2. Let p be -2 - -2 - -1*g. What is the greatest common factor of p and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 16*s = -l - 20, 6*s = l + 41. What is the closest to l in -84, -10, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-72 + 22 + 25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2558, 5233, 7912, 10595, 13282, 15973?\n\"Answer: 2*m**2 + 2669*m - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30670859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48334351 - -0.06?\nAnswer: 48334351.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = 165 + 44. Let v(r) = r**3 + 15*r**2 - 5*r + 2. What are the prime factors of v(g)?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 2098 (c) -4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124711.\nAnswer: 311, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430 - 450. Let c(o) = o**3 + 21*o**2 + 13*o - 85. What is the remainder when 328 is divided by c(t)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1\/6*3). Suppose 0 = 4*z + p. Which is smaller: 2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 99, 146, 193, 240, 287?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 16396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -61 + 39 + 18 - (-3 - -20 - (3 + 2))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:17 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 3*t**4 - 5*t**2 - 13*t**4 + 11 - t + 7*t**2 + 18 - t**3 to l*t + o*t**4 + n*t**3 + g*t**2 + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 19 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -188627.\nAnswer: -188622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 19. Let o be -5*((-7)\/r + 1). Let f be -25*(-9)\/((-90)\/(-4)). Solve 1 - 6 = -u, o*u = v + f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 107. Let c = -89 - p. Let g = c - -134.000073. What is g rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1521962 + -875107. Suppose 3*f + 2776855 = q. Round f to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/20 + 5*s**4\/6 - 7*s**3\/6 - 3*s**2\/2 - 4*s. Does 15 divide n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puvffpppffuuppfp. Give prob of picking 2 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - 2*sqrt(2016))\/(sqrt(2) - (1*sqrt(2) + sqrt(2))*2) - (-4*((0 + sqrt(700))**2 + -4) + 1).\nAnswer: 23*sqrt(7)\/3 + 2783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.9 (b) 0.2 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -158610975 and -13404?\nAnswer: 158597571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p - 488. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 232*d**2 - 64. Let n(b) = 11*b**2 - 3. Suppose -3*h - 187 = -5*j, -3*j + 178 = -2*h + 53. What is h*n(t) + 3*o(t)?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -37.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:37 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13362, 13342, 13322, 13302?\n\"Answer: -20*o + 13382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 67 + 37. Find the common denominator of (-4)\/10 - 91\/n and 77\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548556.1 rounded to the nearest ten thousand?\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -186520\/177 or -1055?\nAnswer: -186520\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 16 = 5*t + 11, 3*y = -4*t - 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9 - 27. Let p(n) = -n**2 - 24*n - 50. Let d be p(-22). Calculate the lowest common multiple of (-7*2\/d)\/(2\/6) and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 (base 4) in base 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = -6. Suppose -136*l + 133*l = -12. Solve -q*n - 9 = 2*o, n - 3*o + 4 = -l*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 - 11585*r**2.\nAnswer: -11585*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1416\/11, -0.5, 3\/5, 1, 5, 0.25 in increasing order.\nAnswer: -0.5, 0.25, 3\/5, 1, 5, 1416\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 18. Let k be -2 - (-118 + 7 + -3). What is the greatest common divisor of k and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10886.0643 rounded to the nearest 10?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -60*m**2 - 892*m - 18. Give j(-15).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 14*x - 5. Let w(s) = 60*s - 55*s + 16 - 5 - 13. Determine 4*k(l) - 11*w(l).\nAnswer: 4*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 35 - (-3 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -c. Let r(m) be the first derivative of -m**4\/4 + 5*m**3\/3 + 3*m**2\/2 - 1. Calculate the remainder when r(5) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*a + k - 14 = -202*a + 351*a, -2*a + k - 5 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/8)\/((-25)\/200)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*z + 215*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.3 times 0.2?\nAnswer: -36.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81008955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**8\/28 - 4*x**7\/15 + 11*x**6\/15 - 4*x**5\/5 - x**4\/6 + 4*x**3\/3 + 8*x**2. Factor l(m).\nAnswer: 4*(m - 2)*(m - 1)**3*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Solve -w*m + 5*m = 4*i + 5, -2*m - i - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 96. Let w = -32 + h. What is the remainder when 1 - (-553)\/15 - w\/(-75) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1 + -4 + (5 - -2). Solve -k*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 12:58 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5128849, -5128850, -5128851, -5128852, -5128853, -5128854?\nAnswer: -5128855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-69)\/(-46))\/(3\/520) is divided by 69\/23 - (-7 + -1*2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = u - 2*b + 7, u - 9 = -3*b. Suppose -9 = 2*c - u*c. Is 403\/9 - (-2)\/c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13561?\nAnswer: 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 4*n = 26*w, 2*w = -n - 5. Sort -3, w, 2, 91 in ascending order.\nAnswer: w, -3, 2, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzk when three letters picked without replacement from kzzkwwwkkw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*s - 39, 9*p = 37*s - 35*s - 57 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 456.555069 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppi when three letters picked without replacement from piipip.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p. Let z = -3 - -5. Suppose 0 = z*h - 0*h - 8. Solve p = 2*x - x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 5:24 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 1316 + 0*x**2 + 1343 to f*x**2 + d*x + v and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 3. Let w(i) = -i**2 - 3. Let j(x) = -p(x) - w(x). Let v(y) = 14*y - 3. Determine v(j(d)).\nAnswer: -28*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w - 2*m = 2, 2*w - 2 = m. Suppose 0 = -t - t + w. Let j(r) = 2*r + 1. Let h be j(t). Solve -3*u + 0*i = -h*i - 12, 2*i = u - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 7\/90 (c) -2 (d) 1\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 815 = 49*o + 129. Let r be 2 - (-8)\/((-6)\/3). Let z = r + 27. Calculate the remainder when z is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - s - 63262, 3614*s + 79079 = 5*x + 3612*s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 36*a + 15 = 0. Let h(q) = 3*q**2 - 3*q + 1. Let z be h(3). Solve -z = -a*x - 4*j, 4*j - 8*j + 17 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 190425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -90*n + 87*n - 45, -5*i - 5*n - 50 = 0. Let w(c) = -7*c - 87. Let r(f) = 11*f + 131. What is i*r(t) - 8*w(t)?\nAnswer: t + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -34. Suppose 4*q = -l + 22, 2*l - 10 = -4*q + 14. Suppose -q*y = -1 - c. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, u: 5, q: 4, o: 2, t: 2}. Give prob of sequence zt.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94, -96, -98, -100, -102?\n\"Answer: -2*b - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.93 + 0.07. Let k = 11754 + -11742.873. Let a = 0.127 - k. Sort z, 1\/2, a.\nAnswer: a, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1104)\/(-231) - 6) + 21\/((-1155)\/(-20))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 9. Give s(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/8 - s**3\/2 - s**2\/2 + 5. Factor k(r).\nAnswer: -r*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 142. Suppose 1892 = g*k + 648. What is the remainder when k is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5452*c**3 + 10*c + 11. List the prime factors of x(-1).\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9273\/5 - 1855. Let v = -0.036 + 0.03. Is n at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.8 + 2.2. Let x = t - 16.5. Let g = -4.547 - x. What is g rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 133*x - 1919. Does 7 divide l(-109)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 22 - (-3 - -4). Suppose -r = m - 5*z, -2*z = 4*m + 2*z - 40. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(-1 + (sqrt(475) + 2)**2 - -2*sqrt(475)*-5)*-2 + -5) + -2.\nAnswer: -600*sqrt(19) + 9548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/9*108\/(-72) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65141833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u - 33. Calculate the remainder when 208 is divided by n(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1539) + 3) + (-5 + sqrt(171)*4)**2.\nAnswer: -75*sqrt(19) + 2776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 0, c + 3*r + 0 = -3. Let u(a) = 2*a - 1. Give u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i**(2\/25))**(1\/27) assuming i is positive.\nAnswer: i**(83\/2700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311 + 123104?\nAnswer: 122353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-6 + 1 + 1). Suppose 5*o - 114 - 546 = 0. Calculate the highest common factor of o and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/22 and 101\/2200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 28075*k**2 + 9339*k**2 + 9347*k**2 + 9391*k**2 + 0.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q - 15. Let u(o) = 7*o + 8. Determine 6*i(m) + 11*u(m).\nAnswer: -7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 354 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose -k = 3*k - 4, 3*k + 3 = 3*x. Is x equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*k + 45. What is the remainder when ((-7)\/2)\/(22\/(-1188)) is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 2 (c) -83 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from {c: 8, j: 5}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c*r*u**2 - 285*c*r + 2*c*u**2 + 67*r*u**2 + r*u + 19*r + 90*u**2 + 560*u wrt u.\nAnswer: 40*c*r + 4*c + 134*r + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + -41. Let u = -45 - q. Which is greater: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(12) - ((1 + sqrt(192))**2 - (sqrt(12) + sqrt(3) + 3)).\nAnswer: -185 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 + 11 = 0. Factor 4*w**2 - w**4 - 5*w**h - 72*w**3 + 70*w**3.\nAnswer: -w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(200\/30)\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -8*c - 161. Sort c, 4, -2 in increasing order.\nAnswer: c, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1230\/(-20))\/41*1\/((-3)\/(-2)). Is 6\/5017 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1) - (0 - 20 - 1). Suppose 7*h - 13*h + s = 0. Let t(p) = -11*p + 4*p + 0*p + h*p. Let f(u) = -5*u**2. Give t(f(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + r - 2. Let i be c(4). Suppose -4*n = n - i. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1203*b + 1205. Let s be r(1). Let -7\/10 + 17\/10*t**3 + 21\/10*t**s + 1\/5*t**4 - 1\/10*t = 0. What is t?\nAnswer: -7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**2 + 6*k - 1. Let y(g) = -7*g**2 + 5*g. Let m(s) = 6*i(s) - 5*y(s). Let c be (9\/1)\/((-15)\/(-10)). What are the prime factors of m(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -53 + (1 - 0) + -7 + 24 + -16.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 + 15*p - 34. Give g(-8).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 836, -3, -17 in decreasing order.\nAnswer: 836, 34, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-100))\/((-2)\/3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -155. What is the third derivative of -149*g**2 + 0*g**h + g**6 + 87*g**2 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/20 + d**4\/2 + 4*d**3\/3 - 5*d**2\/2 - 15*d + 22. Give s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3583*h**4 + 924?\nAnswer: -14332*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minus 3757?\nAnswer: -3716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3016074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -232227, -231853, -231479, -231105?\n\"Answer: 374*u - 232601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*b + 13 = 0, 3*c = -10*b + 9*b - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-7*80\/(-2072))*8*10\/(-32)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**2\/2 - 3. Let b(h) = -3*h**2. What is b(u(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) 2 (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581090388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(3 + -2)*5. Suppose h + 1 = -4*y + 4*h, 9 = 4*y - k*h. Let q = 3 - y. Solve 3*v - 35 = 5*f, -q*v + 3*f + 37 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26649 by -8883.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = n + 3, 4*w = -5*n + 5*w + 42. Suppose -n*y + 3*y + 228 = 0. Let t(l) = -17*l - 1 + y*l - 16*l. Give t(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10014?\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -0.1968.\nAnswer: -2.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 10)\/(2\/(-294)). Suppose 3*l = -0*l + c. What is the highest common factor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2 - 3 - 3 + 1 + (-1 + 0 - 1)*(-3 + 2 + 3) + 0 + 1 - 2 - 39 + 40 - 204)*(6*a**2 - 3*a**2 - a**2) to i*a**2 + t + h*a and give i.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.9 + -13. Let d = 2.1 + v. Sort 4, -1, d in descending order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3624 (base 9) in base 12?\nAnswer: -1687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f + 4*f**2 - 2*f**2 - 390 + 64*f - 35*f.\nAnswer: 2*f**2 - 390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - -11099894092710.\nAnswer: 11099894092744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/45, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*f**2*h**2*m**2*n - 3*f**2*h**2*n + 3*f*h**2*m - 2*f*h*m**2*n + 17*f*m*n + m**2*n + n wrt f?\nAnswer: -404*h**2*m**2*n - 6*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000030783 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:01 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/12*(918\/(1394\/82))\/((-30)\/4)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242\/7 + 34. Let f = 11\/10 + -69\/40. Let a = 1\/2 + f. Sort a, h, -2 in decreasing order.\nAnswer: a, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 21. Let f be c(-13). Suppose 5*h - 66 = v, -f*v + 19 = -2*h + 234. Let q = 70 + v. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*h + m, 4*h + 2 = -4*m - 30. Let r be 22*-1*(-6)\/h. Let n be r\/((-11)\/10) + -3. What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b33 (base 15) to base 4.\nAnswer: -213123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6681*i = 6695*i - 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 156. Suppose 0 = -2*d + d + 2*h - 2, -3*h = v*d - 3. Solve 2*k - 7 = k + b, d = -3*k + b + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.9 (b) -0.1 (c) 0.01 (d) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7263 - 5507. What is the remainder when f is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/4)*t*t*t)\/(t**(2\/7)*t*t))\/(t**(-5)\/t*t**1\/t) assuming t is positive.\nAnswer: t**(237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73.0454 and 2.\nAnswer: 75.0454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -8433536?\nAnswer: -8433536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.095831?\nAnswer: 0.0383324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.131 and 17.2464892495.\nAnswer: 17.3774892495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/5)*m)\/m)\/(m\/((m*m**3)\/m*m)*m))**(28\/3)*m**(3\/10)*m\/m**(-3\/4)*(m*m**(-2\/5))\/(m*m*m**(-6)\/m*m*m) assuming m is positive.\nAnswer: m**(1123\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*((sqrt(147) + 5 - sqrt(147)) + sqrt(147))*-5)**2.\nAnswer: 252000*sqrt(3) + 619200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 16 = 4*l. Suppose 2*z + b - 92 = 0, -z - l*b + 11 = -30. Suppose -4*u = 43 - z. Solve -3 - u = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763500 a multiple of 1527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 1. Let f(x) be the second derivative of -5*x**3\/6 + x**2 + x. Let i(b) = -3*f(b) + 7*u(b). Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 358045 and 84371?\nAnswer: 42607355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 12276272.61 to the nearest 1000.\nAnswer: 12276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 823976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let j(f) = 4*f + 8. Let t(a) = -j(a) - 3*y(a). Let i be t(-10). Let r be 9\/i + (-3)\/(-15). Solve z = r*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24640 = -885*w + 875*w. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/507 and -25\/78.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71198 * 0.31.\nAnswer: 22071.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 3297?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1830 = -4*x. Let h = 371 - x. Solve -5*q - 2*z + 20 = 0, -h*z + z = -2*q - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 + (-19 - (-132 + 15)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/10)\/((-4)\/(-20)). Suppose 0 = m*w - 6 - 3. Suppose w*d + 18 = 4*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451168 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.7 - 2787.87.\nAnswer: -2806.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by (0 - -66)*(-58)\/(-174)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - h - 1. Let m(y) = y**3 - y + 1. Calculate a(t) + m(t).\nAnswer: 4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15178 = 4*h, -82*h + 9096 = 3*l - 85*h. Is l a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 6) in base 13?\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1246 - 1597 + 2843 - 9*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 + 1\/6*s**3 + 0*s**2 + 0*s**6 + 0*s**5 - 1\/42*s**7 - s + 0*s**4. Find the second derivative of l(o) wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 26. What is the highest common divisor of 91 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 8224 in ascending order.\nAnswer: -22, -2, 8224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.11837 rounded to two decimal places?\nAnswer: -35.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3961881794.00000074 + 3961881827. Let k = m - 33. Round k to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/(-10) + -3 + (-32)\/(-10). Let y be ((-6)\/(-4))\/(27\/a - 3). Suppose -4*u + 104 = 4*c, 3*c + y = 16. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/1380 + 17*u**5\/690 + 95*u**4\/276 + 175*u**3\/69 - u**2 + 3. Suppose v(i) = 0. Calculate i.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1 + 0*u**2 + 3*u**3 - 3*u - 2*u**2 - 4*u**3. Let n be z(-2). What is the second smallest value in n, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*o + 5*g + 78, -4*o - 5*g + 140 = 0. What is the second derivative of -o*x**5 + 37*x**5 + x + 0*x wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 + 50273498*d**2\/3 + 100546988*d\/3.\nAnswer: 2*d*(d + 2)*(d + 25136747)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 1 = 4*u + o, -3*u + 7 = -o. Which is smaller: u or 20\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**2 + 5*w**2 + 15*w**2 + 175*w**2 to d + t*w**2 + n*w and give t.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30022201 (base 5) in base 7?\nAnswer: -2001555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 3848973.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4182642 and 828.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*i**6 - 4*i**4 - i**3 + 40*i**2 + 4*i - 1 wrt i?\nAnswer: 7080*i**3 - 96*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122120220 + 1122112?\nAnswer: -12120221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 220 = 25*g. Let z = g - 42. Let y(j) = -5*j**2 + 2*j. Determine y(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8252391nm?\nAnswer: 0.0000000000008252391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 149.25 - -1\nAnswer: 150.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:50 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 - 10*u + 45)*(2 + 0 + 0)*(u - 2*u + 2*u) to c*u + w*u**2 + i and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f - 21. Let n = f + 16. Suppose -104 = -4*m - 2*j, 5*m + 0*j - 143 = 4*j. What is the highest common factor of m and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 570, 572, 574?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + 0. Let x = 109 + -109. Suppose x = 5*j + 4*d + 14 - 68, 3*j - d = 29. What is the remainder when i is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:38 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 24, 87, -5, -0.13.\nAnswer: -62, -5, -0.13, 24, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + k + 498 - 69 = 83, -5*p + 5*k + 260 = 0 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 7489986?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367 + -146. Let p = -221 + l. Let m(k) = -k**3 - k**2 - 4. Calculate m(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9648.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 612463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 2*n**2 - 2*n - 1. Let i be r(-1). Let z(w) = 3 + 2*w**2 + i - 3. Let t(s) = -2*s**2. Calculate t(z(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 173 + 351 - 178 - 12*m**3 - 7*m + 9*m**2 in the form q*m + u*m**2 + z*m**3 + v and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + ((sqrt(68) - (sqrt(68) + 1 - sqrt(68))) + 4)**2.\nAnswer: 14*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2\/58095, 0.3 in increasing order.\nAnswer: -2\/58095, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Suppose -k*l + 9 = -0. Let u be (-288)\/(-54) + (-4)\/(-6). Solve u = l*d - 3*m, 2*d - 4*m = -m + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6230 by -1246.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l + 6*l - 65 + 54 = 1289 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1688 - -1690. Let a(l) be the second derivative of 5\/12*l**4 + 6*l + 0*l**y + 0 + 0*l**3. Let t(s) = -2*s. Calculate t(a(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-38)*(-39)\/78?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - g**3 + g**3 + (g**2 - 2*g**2 + 3*g**2)*(0*g - g - g) + (-14*g**2 - 355 + 355)*(2*g - 6*g + 3*g) - g**3 + 2*g**3 - 6*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 807561 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/45 and (-504)\/91560*((-53)\/6)\/1.\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 12*h + 8. Let r(z) = -z - 51. Let p(w) = -w - 28. Let u(k) = -9*p(k) + 5*r(k). Give -4*b(j) - 11*u(j).\nAnswer: 4*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3513*h = 3423*h + 4691430. What are the prime factors of h?\nAnswer: 52127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v - 25204 = -22333 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let i = -12 + 14. Suppose 2*a - 6 = p, 2*p + 2*a + i = 4*a. Let f(h) = 69*h**2 - p*h - 72*h**2 + 4*h. Give f(b(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 313 and 40574.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let b(j) = 3*j**2. Let x(g) = 2*g**2. Let f(o) = 4*b(o) - 5*x(o). Give z(f(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/198*3\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-30))\/((-19)\/((-2394)\/28))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/72 + q**5\/120 + q**3 - 2. Let d(s) be the third derivative of v(s). What is the second derivative of d(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -81, -80, -103, -150?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 2*s + 72. Let h be p(0). Let l = 319 - h. What are the prime factors of l?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 1, x: 4, i: 3}. What is prob of sequence sss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*g - 3. Solve -2*l - g - 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12679 divided by 31\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(700) + -3 - sqrt(7)))*4*1 - (5*sqrt(7)*-5 - (sqrt(7) + -4)*6).\nAnswer: -12 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -75, -218, -361, -504, -647?\n\"Answer: -143*r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -21 + 10 + 5 + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 1447303?\nAnswer: -1447282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61221 times -0.2?\nAnswer: 12244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*m - 3*m + m)*(253*m - 473*m - 706*m) + (-3*m + 0*m + m)*(-2 + 2*m + 2) to o*m**2 + h*m + f and give o.\nAnswer: -7412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1522 + -13.5778. Let p = 14.3 + h. What is p rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1451, 1432, 1387, 1304, 1171?\n\"Answer: -2*h**3 - h**2 - 2*h + 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b2 - 74a11?\nAnswer: -7421b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1188 + -1183. Sort l, -2, 17, -1.\nAnswer: -2, -1, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6926 - -6925. Let z = -35\/24 + 13\/12. Which is the third biggest value? (a) z (b) 2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103928 is divided by 278?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 112175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4478*d**2 + 8943*d**2 - 4445*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a factor of 33775471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 + 24428*t**2 + 781683*t\/8 + 146565\/2.\nAnswer: (t + 1)*(t + 3)*(t + 195420)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*s - 112 + 11, 3*l + 5*s = 112. Suppose -c = 3*c - 3*u - l, 2*u + 26 = 4*c. Suppose c*v + g = 2390, 7*g + 25 = 2*g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-295)\/(-531))\/((-1)\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 423877*b\/2 - 6358605.\nAnswer: (b - 30)*(b + 423907)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:11 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-88 + 0)*(-6 - 20\/(-8))?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a90c + -12db?\nAnswer: 59631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*y = 6*k - 23280, 2*y - 116315 = -5*k. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 427? (a) 1\/21 (b) 19 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 2*g**2 + 2*g. Let h be b(-3). Let y be (-7446)\/136 + 54 + (-1)\/4. Sort -2, h, -5, y.\nAnswer: h, -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 105, 371, 793, 1365, 2081?\n\"Answer: -b**3 + 84*b**2 + 21*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 20. Let b be 3 + 1\/(c\/6). Differentiate b + 8*m**4 + 0 - 14 wrt m.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 5, -6 in descending order.\nAnswer: 5, 4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Let m(h) = 2*h - 3. Suppose 11 - 8 = g. Let c(n) = 3*n - 5. Let z(l) = g*c(l) - 5*m(l). Calculate z(p(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let z(x) = 6*x - 13. Let g(r) = 5*v(r) + z(r). Suppose 3*u - 13 = 2. Calculate g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444295.6 decades in millennia?\nAnswer: 4442.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 332 = 62. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u + 121*u + 86*u + 21 - 21.\nAnswer: 268*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmymttmembt. What is prob of picking 1 t and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.8 (b) 2\/7 (c) -19 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -212*s + 1577. Calculate g(7).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24588, -50805, -78656, -108147, -139284?\n\"Answer: -i**3 - 811*i**2 - 23777*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 104*p**2 + 1259*p + 96. What is b(90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/5601 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 - b - 1. Let n(w) = 9*w**3 + 14822*w - 7*w**2 + 5 + 1 - 14816*w. What is -n(l) - 6*s(l)?\nAnswer: -15*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)\/(v\/(v\/(v*v\/v**(2\/19)))))**39\/(v**(-1\/4)\/v**(-3\/2))**26 assuming v is positive.\nAnswer: v**(-47437\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 + 7*n - 4. Let c be j(-6). Suppose 0 = m - c - 96. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.044 * 1.44.\nAnswer: 14.46336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-16)\/(-6))*-3. Suppose 5*c + n*g = 63, -26 = -2*c - g - 0*g. Let i = c + -4. Calculate the highest common divisor of i and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.81392 nanograms to tonnes.\nAnswer: 0.00000000000001581392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g + 614. Let f be u(-36). Solve 5*l - 21 = -m, 5*l - 29 = f*m - m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 4. Let r be j(-6). Let l(t) = t**2 - 8*t. Let c be l(r). Calculate the common denominator of (-71)\/8 - 15\/c and 16\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*q + 2*n, q + 3*n = -0*q + 27. Let i be ((-5)\/(-3))\/(1\/q + 0). Suppose 4*g + 7 = i. Solve -5*s + g = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let j(x) be the second derivative of x**4\/6 - 10*x. Determine j(s(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3012 and 12.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5829132 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g - 3. Let i be r(3). Let k = i + 5. Is 19 a factor of 140\/k + -2 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-31 - -48) + (-19 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 24*j**2 + j - 1. Let o be t(1). Let a be 146\/(-840) - (-6)\/o. Let w = a + 1\/15. What is the nearest to 0 in w, -0.2, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00888955 and -3.69.\nAnswer: -3.69888955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - w = 5, 15 = 6*f - f - 3*w. Let b(o) = -o + 6. Let h be b(4). Let g = 2 - h. Is g at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -912725 (base 10) in base 8?\nAnswer: -3366525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*u - 42*u + 25935*u**2 - 25936*u**2 - 19 as i*u**2 + r + a*u and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 267 - 10?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457829395?\nAnswer: 5, 229, 399851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -42) + -39 - -50?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand o - 1 + 1 + (-5*o + 3*o - o)*(1 + 0 + 0) + (-3 + 3 + o)*(0 - 5 + 3) - o + 0*o - o - o - 2*o + 2*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2293 (base 16) in base 2?\nAnswer: -10001010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l - 6*l + 7*l)*(-1 - 2 + 1) + 3*l - 2*l + 0*l + 0*l - 4*l + 2*l)*(4 + 1 - 6) + (-5 + 5 - 4)*(l + l - l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/1378 - -8071\/1175434. Let a = z - -39218\/4265. What is the common denominator of -56\/185 and a?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (78 + -33 - 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*l*x**2 + 43*h**2*l*x - 2*h**2*x**2 + 10*h*l*x - 2*h*l + h*x**2 + 2*h wrt h?\nAnswer: -2*l*x**2 + 86*l*x - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**3 + p**2 - p + 4. What are the prime factors of g(-2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1464\/23135 or 0?\nAnswer: -1464\/23135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*o - 10 = 0, -3*k + 779060*o = 779065*o - 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, p: 6}. What is prob of picking 2 p and 1 r?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19820\/46263 - -1\/6609. Put 3, k, -5, 0.39 in decreasing order.\nAnswer: 3, k, 0.39, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzdz. Give prob of sequence zd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*758366\nAnswer: 3033464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-4)\/(-168) + (-16)\/(-14). Let p(w) = 2*w - 7. Determine p(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2653881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -65\/4*q**4 + 25\/6*q**6 + 7*q**5 - 155\/3*q**3 - 47 - 20*q - 50*q**2. Factor u(l).\nAnswer: 5*(l - 2)*(l + 1)**3*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390009.1141 less than 122?\nAnswer: -389887.1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8507844 to the nearest integer?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974 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: Calculate 0 - -61 - ((-12 - (4 - (28 + -17))) + 9).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9516258623\/4606 - 2066057. Find the common denominator of 23\/20 and f.\nAnswer: 46060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/8455 - 25609\/1031510. Let n = l - -581\/61. Let t = n + -53\/6. Is t not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813 >= -1168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 78 = -18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/17 - 106*q**3\/17 - 282*q**2\/17 + 954*q\/17 + 2700\/17 = 0.\nAnswer: -50, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 50546?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4591*h**2*w + 5*h**2 - 2*h*w - h + 5*w - 2677 wrt w.\nAnswer: -4591*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**32*h)**(-13)\/(h*h**(-4\/17)*h)**(-29) assuming h is positive.\nAnswer: h**(-6423\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*c**2*k - c**2 + 36*c*k - c - 2*k + 3904 wrt k.\nAnswer: 18*c**2 + 36*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -119787, 1410 in descending order.\nAnswer: 1410, 2, -119787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-4) - (2 - 560)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10182901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164348553?\nAnswer: 3, 54782851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(8814 - 8814 - 1750*n**2) + 5 - 5 - 2*n**2.\nAnswer: 3498*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiicciciiciiccccciii. What is prob of picking 3 c and 1 i?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 10:59 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) + (-20)\/(-9). Let b = 0 + h. Suppose -4*m - 36 = -4*f, b*m = 2*f - m - 22. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174 + -108 + -85 + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let p = -49 + 48.6. Let r = 126 - 885\/7. Which is the third smallest value? (a) -0.1 (b) p (c) r (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57084550.533 - 0.0501.\nAnswer: -57084550.5831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 12 - 26 + 14 - 13*r**2.\nAnswer: -13*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669272355 to the nearest integer?\nAnswer: 25870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 19189?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17357806460874.2140258 + -17357804360796. Let o = 2100078 - k. Let f = o - -0.214. Round f to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4832401*t**2 + 19410412*t wrt t.\nAnswer: 9664802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153)*1)\/(sqrt(441) + (sqrt(441)*-1 - sqrt(441)))*1 + -4.\nAnswer: -4 - 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*u = -2*g + 2, -5*u = -2*g - 7. Sort -3, -17, 5, g in descending order.\nAnswer: 5, g, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595469988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 9*c. Let p be 2145\/297 - 26\/117. Sort -5, p, c in increasing order.\nAnswer: -5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90034193.\nAnswer: 17, 311537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -6 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*q, s + 470*q + 3 = 474*q - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 1, q: 2}. What is prob of sequence mqqf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1384)\/156 + 9)\/(6*(-30)\/(-648))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:39 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2. Let k(l) = 2497*l. What is k(m(d))?\nAnswer: -17479*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40651 + 46624?\nAnswer: 87275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 6*b. Let k(f) = f**2 + 8*f - 5. Let l be k(-9). Put 3, l, b in increasing order.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*q - 5*p = 130*q + 14, 0 = -q + 4*q + 3*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2565 divided by 630.\nAnswer: 57\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43281, -86459, -129541, -172527, -215417, -258211, -300909?\nAnswer: -343511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 + (-1)\/2. Let v be 5 + ((-8)\/12 - (-49)\/(-12)). Determine q so that -g*q + v*q**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14)*y*y**(-20))\/(y*y\/(y**(3\/10)*y*y))**(-1\/5) assuming y is positive.\nAnswer: y**(-1653\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -174177 divided by 27\nAnswer: -6451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246 is divided by 926.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (11 - 11) - 1 - -2) + -25.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/990 and -17\/12410910.\nAnswer: 136520010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486423 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767935774?\nAnswer: 2, 11, 17, 97, 48733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266 + 131. Let x be (6\/9)\/((-6)\/o). Let p(q) = 2*q**2 - 21*q + 28. Is p(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f**4 + 6*f - 288.\nAnswer: 152*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + (-2 + sqrt(2299) + 0 - (2 + sqrt(2299))*6) + 1)*1)**2.\nAnswer: 7920*sqrt(19) + 231196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -443323205 - -12?\nAnswer: -443323163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45708, -91439, -137170, -182901?\n\"Answer: -45731*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 705435854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11.95444+-19908\nAnswer: -19919.95444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.067887329 to 5 dps.\nAnswer: -0.06789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - 2*m + 0*m + (m - 4*m + 2*m)*(2 - 2 - 1) to b + g*m and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x - 15. Let h(l) = -l**2 - 16*l + 14. What is -4*h(s) - 3*u(s)?\nAnswer: 4*s**2 + 10*s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1, -3, -1385, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 > -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -49*r**2 - 140*r + 14. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 819 = -3*l - k, 3*l + 4*k + 2460 = 0. Let o = l + 2401\/3. Calculate the common denominator of o and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 42, 5, -1, -4, -2.\nAnswer: -4, -2, -1, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.063?\nAnswer: -0.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose 4*s - 180 = -2*g + 6, 315 = 3*g - b*s. Let q = 10 + g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = -7*u. What is the tens digit of ((-41)\/u)\/((-30)\/(-480))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:32 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/360 + c**5\/120 + c**4\/6 - 3*c**2. Let i(m) be the second derivative of u(m). What is i(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(405) + 5.\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -130*r**4 - 214626*r**3 + 1514084*r**2 - 2201784*r + 66320 = 0.\nAnswer: -1658, 2\/65, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(4\/24)\/1)\/((-5950)\/(-280)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (1 - 10) + -1047 + 1021.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 22?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 12. Suppose o*c - 16 = c. Let y = -93 - -105. Calculate the highest common factor of y and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:01 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -958, -1915, -2858, -3781, -4678, -5543?\n\"Answer: v**3 + v**2 - 967*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-700)\/12*(74088\/490)\/(-63)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:56 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 6*z. Let s be r(-3). Let f = s - 5. What is the smallest common multiple of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/((y\/(y*y**(1\/4)\/y)*y)\/y))**(-1\/10)*(y*y*(y**(1\/5)\/y)\/y*y*y*y**(-2\/7)\/y)**(-9\/8) assuming y is positive.\nAnswer: y**(-99\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3025*q**2 - 3029*q**2 + 6057*q**2. Let y(t) = 14*t + 11. Give y(f(c)).\nAnswer: 42*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(-1*sqrt(162) + sqrt(162) + -4 + sqrt(162) + 5 - ((-2*sqrt(18))\/sqrt(9) - 5*sqrt(50)))**2.\nAnswer: -2598 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - 93\/(-9). List the prime factors of (-5)\/r*24\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8827*j**3 - 56*j**2 - 1389410 wrt j.\nAnswer: 26481*j**2 - 112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1444.7 + -1444.73. Which is the smallest value? (a) -1\/11 (b) -2\/7 (c) g (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -73*o. Let z(m) = -73*m - 1. Calculate 3*x(r) - 2*z(r).\nAnswer: -73*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10415 + -4?\nAnswer: -10421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*-204198.\nAnswer: -11843484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4640 + 4505. Sort 2, 0, -2, g.\nAnswer: g, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 5*i**2 - i**2)*(1 - 2 - 1)*(6*i**2 - 2*i**2 - 19*i**2).\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmvv when four letters picked without replacement from {v: 8, t: 4, m: 4}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 2\/3*3. Sort -5, r, -4 in decreasing order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5 (c) 551 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3\/11 (b) -14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Suppose o = -5*q + 26, 3*o = 2*q + t*o - 8. Calculate the lowest common multiple of ((-12)\/(-5))\/(q\/15) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022020220300 (base 4) in base 7?\nAnswer: -324120662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -5*k - 2*v, 5*k - 4*v + 51 - 246 = 0. Suppose 92 = 3789*t - 3787*t + 24. Is k greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-114)\/(-171)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 91*q - 524. Let a(m) = 16*m**2 + 181*m + 1058. Let f(x) = 2*a(x) + 5*y(x). Factor f(n).\nAnswer: -3*(n + 7)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2885477642 + -218.\nAnswer: -2885477860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*i + 15046 = 0, 0 = -5*l - 5*i + 16615 + 21075. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - -22 - (12 + -5 + 14).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 792447644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121\/40 - 3593\/1320. What is the common denominator of z and (2\/(-6))\/((-10)\/(-166))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q + 0*q + (8*q - 11*q - 55*q)*(7 - 2 - 8) + (1 + 2*q - 1)*(6 + 0 - 3).\nAnswer: 182*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -1354 (c) -16 (d) -2\/11 (e) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031956905 take away 1.06917?\nAnswer: 6031956903.93083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (3 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10279, -20552, -30821, -41086, -51347, -61604, -71857?\n\"Answer: 2*z**2 - 10279*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - -71 - (10 + -8 + 15 + -17)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2154711 and -8.\nAnswer: -2154719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78872438)\/(-6) + (-8)\/24. Suppose -p = -8*r - 51785406. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2202132 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 904637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezf when three letters picked without replacement from feaafzggffzaaa.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 1 = 5*n - 4, 0 = -3*b - 4*n - 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5\/10 - -2)*6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -61. Put -3\/4, s, 3\/4, 3 in ascending order.\nAnswer: -3\/4, 3\/4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079786?\nAnswer: 2, 29, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 983? (a) 5 (b) 2 (c) -0.2 (d) -4 (e) -12 (f) 5.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 18 = -3*z, x + 14 = z - 2*x. Suppose -z*k = k - s - 13, -2*s - 8 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461 times 4\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 5*c**4\/24 - c**3\/3 + 2*c**2. Calculate the lowest common multiple of z(4) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 300a - 3?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277425*a**3*h**2*v**3 - 24*a**3 + 4*a**2*h*v**2 + 12997*a**2*v**2 + 4*a*h**2*v**3 - a*h**2 wrt v?\nAnswer: -1664550*a**3*h**2 + 24*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18660656 is divided by 2706.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 428 - 268. Let i(o) = -q + 319 - 11*o**2 - 159. Let d(v) = -2*v. Let u(z) = z. Let b(l) = 3*d(l) + 7*u(l). Calculate i(b(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4.2 (c) 53\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96449 + -87938.9. What is w rounded to the nearest one hundred?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + -2 + sqrt(99)*1)**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432624401?\nAnswer: 11, 563, 69857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5638.3 - -5638. Let h = -140 + 978\/7. Suppose 5*f - 6 = 4*w - 6*w, -3*w - 4*f + 2 = 0. Which is the nearest to h? (a) w (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.92105 + 0.9477. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424 - -4. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -24, -100, -248, -492, -856?\n\"Answer: -4*b**3 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + b - 93 = b - b, 2*b = -13*o + 243 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/2071 + -124981\/186390. What is the common denominator of (-2)\/(-4) + (-4)\/(-216) and t?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62100 and 151660620.\nAnswer: 758303100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 2, -68, 5 in descending order.\nAnswer: 6, 5, 2, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 949 - 1312 = -156*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 487*n**3\/3 - 1239901*n**2\/3 + 789195077*n\/3 + 1620529\/3 = 0. What is n?\nAnswer: -1\/487, 1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -7*h + 1\/3*h**4 - 25\/6*h**3 + 0*h**2 + 1\/20*h**5 + 2. What is the second derivative of q(s) wrt s?\nAnswer: 6*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263 - -219. Let u be (561\/l - -13) + 1\/(-20). Let t be 4\/(-14) - (-32)\/14. What is the closest to 1\/2 in u, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1442, -2610, -3252, -3104, -1902?\n\"Answer: 44*q**3 - q**2 - 1473*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/189 and 85\/14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (444\/(-30))\/((-6)\/15). Suppose -4*h = 3*i + 2*i - z, 0 = h - i - 7. What is the third derivative of -h*n**2 - 11 + 14 - 3 - 5*n**4 wrt n?\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -842.3124 + 0.054829.\nAnswer: -842.257571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81312 and 1210?\nAnswer: 406560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 32*p**2 + 2*p - 88438. Let i(x) be the first derivative of -2*x**3\/3 - 1. What is f(i(z))?\nAnswer: -128*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-29)\/(-5336)*23)\/(-1))\/(7\/(-8)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729372.\nAnswer: 2, 83, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:38 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let p(v) = 3847144*v**2 - v - 1. Give p(r(j)).\nAnswer: 3847144*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 9\/(-3)*((-735)\/18 - (-10)\/20).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.846 + -0.154. What is the second smallest value in k, 7\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqffefsseqsefqefeff. Give prob of picking 1 s and 2 e.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -643*r - 2. Let x(f) = -1267*f - 4. Give -13*g(p) + 6*x(p).\nAnswer: 757*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 160760586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 - -3*(-25)\/(-270). Let g = 166 + -1164\/7. Let m = 0.2 + -0.1. Which is the closest to m? (a) g (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h - 15 = 0. Let s = h - -1. Let y = s - 1. What is the highest common divisor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91375514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -55\/4. Let u = -10810 + 10813. Which is the biggest value? (a) w (b) 110 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w. Let g(o) = -264*o + 467. Let f be g(2). Suppose -4*t + 5*n = 237, -2*t + n - 249 = 2*t. Let a = t - f. Give b(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 14 = -4*i, -3*h - 2*i = 0. Suppose h*x + 1 = q, -5*q - 4*x + 2 = -3. Find the first derivative of -7 - q + f**2 + 9 + 15 wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*h + 19159 = -1193*h for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*g - 60 = 0, 0 = f + f + 4*g - 24. Let v(w) = -w**2 - 5. Let z(s) = 2*s**2 + 12. Let i(j) = f*v(j) + 5*z(j). Factor i(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -708*f + 639. Let u(r) = 2109*r - 1918. Let m(z) = 4*u(z) + 11*x(z). What is the derivative of m(v) wrt v?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1.47962?\nAnswer: 0.295924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/180*1*(21 - 0)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8703 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/71 in 2\/3, -2.7, -5\/3, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*a + 63 - 21, -a - 179 = -4*q. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -85*z**4\/4 - 2*z**3\/3 + 822*z - 1242. What is the derivative of s(t) wrt t?\nAnswer: -255*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -42, 5, 0.6?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -3*sqrt(70)*2)*-5)\/(sqrt(40) - -1*sqrt(5760)).\nAnswer: -35*sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 11*z + 17. Let g be y(6). Let p(r) = r**2 + 14*r + 13. Let o be p(g). Suppose o = -6*k + 53 + 1. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxakxaxa. Give prob of sequence xkx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k - 6. Let w be (k - -4) + 5 + 2. Suppose -3*f - w = -18. What is the highest common divisor of 32 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*t + 36 = -6*t, -j - 3 = 5*t. Let c = -7 + 20. Is 10 a factor of (j + 3 - -2) + c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*(j*j**(-3\/7)*j)\/j*j)\/((((j\/(j*(j*j**(-2\/11)*j)\/j))\/j)\/j)\/((j*j**(-5\/2))\/j)) assuming j is positive.\nAnswer: j**(1369\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*b = 254*b - 21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 11, -3, -5, -25 in decreasing order.\nAnswer: 11, 9, -2, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5375\/21 - -256. Which is smaller: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 + 98*a + 1409. Is t(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -79 (b) 0.4 (c) 3\/22 (d) 0 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((17 - 3) + -12)\/(21\/132). Which is the smallest value? (a) 3 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 404*j + 2*j**2 + 807*j**3 + j**5 - 100*j + 29*j + 215*j + 220*j wrt j.\nAnswer: 60*j**2 + 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c11fa (base 16) to base 7\nAnswer: -6503136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 536, 510, 484, 458?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -221?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**3 - p - 1. Suppose 3*j + 5*x = 7, -3*x = -2*j - 2*j - 10. Calculate d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 42113065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142 take away -1?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g**2 + g - 5. Let p(c) be the second derivative of c**4\/6 - c**2\/2 + 5*c. Let q(b) = 2*d(b) - 11*p(b). Suppose 2*x = 4*x + 2. What is q(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 (base 10) in base 15?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 2, p: 1, k: 2, e: 4, n: 5}. Give prob of sequence penr.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 8. Suppose 0 = m + 2*u - s, 2*u - u = 5*m - 43. What is the remainder when 16 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 + 15*i**2 - 5*i - 13. Let y(o) = -4 + 3*o - 5*o - 2 + 3*o**3 + 7*o**2. Let d(g) = 5*y(g) - 2*z(g). Suppose -t = 2*t + 15. Calculate d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26882 (base 9) to base 6.\nAnswer: -220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 279 + 326 + j - 95.\nAnswer: 2*j + 510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001672197 to five dps.\nAnswer: -0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 5*t - 5. Let p(i) = i**2 + 2*i + 2. Let m(y) = 2*b(y) + 5*p(y). Let d(l) = 5*l + 24*l + 8*l - 41*l - 3. Determine m(d(c)).\nAnswer: -16*c**2 - 24*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-32 + 58 - -28) - 38?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 + 2. Let o be -2 - -3 - 4 - 2. Let p be n(o). Suppose p*u - 13 = 57. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12 = l - 3*u, 0 = 3*l + u - 6. Suppose -5*f + 5 = -4*v, -l*v - 2*v + 25 = 0. Solve h - 3*z = f, -5*h + 0*z = z + 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 33*s**2 - 31*s + 106. Determine c(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 3*q**5\/10 + q**3\/3 + 5*q. Find the second derivative of b(f) wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*3 + sqrt(102) - sqrt(102)) + sqrt(102))*6)\/(sqrt(6) + sqrt(600)*-3).\nAnswer: -24*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -3\/10, 2\/7, 0.5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -3, 3 in decreasing order.\nAnswer: 9, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, -32, -97, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133992.\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**7)\/v**(-6\/5))**(-2\/41) assuming v is positive.\nAnswer: v**(48\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 60.5582 and 0.126.\nAnswer: 60.6842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 362105, 724231, 1086353, 1448471?\n\"Answer: -2*s**2 + 362132*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/15*7 - -14)*((-4 - -3) + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52792448*p**4 - 17*p**2 - 4818*p + 2.\nAnswer: -1267018752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/w**(-14))*w)\/w)**12*(w*((w*w\/(w*w**(2\/61)\/w))\/w)\/w)**(-49))**(15\/4) assuming w is positive.\nAnswer: w**(-186105\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 90085443?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2)*-8)\/(6\/(-4)). Solve -229*n = -233*n - m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17 + 6)*(4*k + k - 3*k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 0 + (-5 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 112*d. Let a be z(2). Let l be (a\/(-42))\/(2\/(-3)). What is the greatest common divisor of l and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:07 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 2 + 2 - 23*t - 3*t**3 + 23*t + (0*t**2 + 0*t**2 - t**2)*(3 - t - 3).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1247055 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + 0 + sqrt(19) - (4 + sqrt(19) + 0)))**2 + 4 - (-5 + (0 + (sqrt(171) + 0)**2)*3).\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9206128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396*u - 1386*u - 3*s = 50, 0 = -4*u - u + 4*s + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.1 + -33. What is the nearest to k in -0.4, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3896*w - 27271. Calculate g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - d1297?\nAnswer: -d1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -2\/3, -27, 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 13, -5, -2, 3 in descending order.\nAnswer: 13, 8, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/5 + 7*l**3\/5 + 3*l**2 + 13*l\/5 + 4\/5.\nAnswer: (l + 1)**3*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-42))\/((-3939)\/707)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22248.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 4*q - 3*u, 5*q - q + u - 216 = 0. Suppose 0 = -3*d + d + 5*o + q, -4*d - 3*o + 97 = 0. Let t = d + -44. Put t, -2, 2 in decreasing order.\nAnswer: 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14118 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(78) + sqrt(78))\/sqrt(6) + sqrt(325)*-1 + (-6*(sqrt(832) - (sqrt(832) - (-4 + sqrt(832))))*2)**2).\nAnswer: -610560 + 46090*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8442\/19 - 134065\/304. What is the common denominator of -93\/28 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 + q + 3. Let k be (-5)\/(-15) + (-6)\/(-27)*21. Give x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -75. Suppose -6*p + p + 4*b - 29 = o, 5*p + 24 = -b. Sort 4, p, 5, 0 in descending order.\nAnswer: 5, 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79, -182, -287, -394?\n\"Answer: -q**2 - 100*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10717*k + 214268. Give p(-20).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 315438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/50 - (-28)\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*(-48)\/(-528)*2046.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + (-70565)\/(-10). Let y = x - 7075. What is the common denominator of y and 33\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74394*z**3 - 148797*z**3 + 74392*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189 (base 12) to base 4.\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 26 = -r, -17*r - 4*f - 112 = -22*r. Calculate the greatest common factor of 168 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 - 78 = -25*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 582329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 14) to base 12\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-102)*4)\/((-5)\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/5 - 81073*w**3\/5 - 19012446*w**2\/5 - 1106674569*w\/5 + 111620106 = 0.\nAnswer: -117, 1\/2, 40770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(((g*g*g**(-4\/5))\/g)\/g*g))**13 assuming g is positive.\nAnswer: g**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - (-13)\/26. Suppose b = 6*n + 3*n. Suppose n = 2*h - 4, 0 = -3*f - 0*f + 2*h + 389996. What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243700.5 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 885136873 less than 0.3?\nAnswer: -885136872.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*c**3 - 74*c**2 + 74*c**2)*(3*c - 7*c - 5*c) - 3*c**4 + 2*c**4 + 2*c**4.\nAnswer: 433*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Suppose x = -s*x + 255. Suppose -3*a - 3*n + x = 0, a + 0*n = 4*n + 2. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 7:30 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/88 and 117\/10780.\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/202806 and 59\/32989776?\nAnswer: 98969328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 512 and 1728.\nAnswer: 13824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 times -12.3248?\nAnswer: 7.271632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*y - 1696, 5*y + w + 0*w = 1702. Is y a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h**3*w**5 - 37*h**3 - 77*h*w**2 - 13*h*w wrt w.\nAnswer: -120*h**3*w**3 - 154*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126, 129, 134, 141, 150?\n\"Answer: r**2 + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/20)\/(35\/168).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3\/66)\/((-35)\/70)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3819666 divided by -2?\nAnswer: -1909833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 1:04 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = r - 153, -290 = -2*r - 0*r + 2*c. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -9. What is the remainder when (t - 2) + (-29)\/(-1) is divided by (20\/8)\/((-2)\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/8 - 2)*(-20)\/(-21). Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -29. What is the nearest to 1 in 3\/4, v, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31059 - 31692. Which is bigger: y or -634?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 8*s + 16, -5*u + 439*s - 438*s = -22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0*m + 0*m)*(0 + 0 - m**2) + 5*m**3 - 95 + 95 - 7*m + 7*m + 8*m**3 to c*m**3 + b*m**2 + r + j*m and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*j - 26 = 3*q, -q = -3*j - 11. Let h be (1 - (-15)\/(-24))*q\/6. Put h, 1, -2, 0.4 in ascending order.\nAnswer: -2, h, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 44*r**2 + 118*r - 93. Is v(-56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 27 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 1. Let q(p) = 6*p - 34. Let x = 29 + -23. Let b be q(x). Let t be ((-3)\/(-1) - -1)\/b. Determine l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h - r - 11, h + 5*r = -7. Suppose 2*q = 2, h*m - 5*m - 59 = -5*q. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5642, -5633, -5622, -5609, -5594?\n\"Answer: w**2 + 6*w - 5649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7865 + 1777 = -2*s, 5*s = u + 15220. Suppose -2*m - 2*c + 1526 = 0, -2*c + 4*c - s = -4*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6791023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - -54) + 2 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -298, -1030, -2464, -4834, -8374, -13318, -19900?\n\"Answer: -39*y**3 + 9*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -0.5?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 - -14 - (6 + -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:46 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:39 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 118*w - 459. Let j(r) = 23*r - 1. Let m be j(8). Suppose 5*s = -y + m, -2*s + y = s - 105. Calculate the remainder when s is divided by u(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 1. Let i(h) = 2*h**2 + 2*h - 2. Let q(b) = -i(b) - 3*t(b). Suppose -6*m - 12 = -7*m. Suppose m*u + 6 = 9*u. Give q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, v: 1, w: 1}. What is prob of sequence vw?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**3 - 79744*b - 357453.\nAnswer: 9*b**2 - 79744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -49385 divided by -9877\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -14*v + 36*v - 6*v + 12*v**2 - 15*v + 0*v**3 - v**3. Give w(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9894661?\nAnswer: 7, 1413523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6 take away 315613793994?\nAnswer: -315613794008.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7*b - 5)*((-b**2 - 2*b**2 + b**2)*(-1 + 5 - 2) - 2*b**2 + 0*b**2 - b**2) as j*b + v*b**2 + z*b**3 + o and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 27 = -4*r + 141 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*o + 24*o - 20. Suppose -5*m - 3*m = 88. Sort m, 1, 4, o in descending order.\nAnswer: 4, 1, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 6*y + 16*y + 13*y as d*y + n and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76282 = 18*n - 77506 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdfpsvpvvvptv. What is prob of picking 1 s and 1 f?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*s, 4*o = 2*s - 7*s + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5168? (a) -5 (b) 5 (c) -4 (d) -2\/3 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 + 2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 460\/(-184)*(-36)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*a**5\/3 - 598*a**4\/3 - 482*a**3\/3 + 5278*a**2\/3 + 2040*a + 312 = 0. What is a?\nAnswer: -26, -3, -1, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 20890?\nAnswer: 83560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = i - 5*m, 2*i + m - 44 = 5*m. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/(-15) - 3\/15)\/1. Let f = 5 + d. What is the third derivative of 11*q**2 - 10*q**2 - 33*q**3 - 14*q**2 - 14*q**f wrt q?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-1\/5)*d)\/d))\/d**(1\/2))\/(d**(4\/7)\/d*d**6) assuming d is positive.\nAnswer: d**(-341\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 1 + 1142622*y**3.\nAnswer: 1142622*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**3 + 100*g - 55. Let u(h) = -h**3 - 11*h + 6. Suppose 5*v - 2*a = -0*v + 32, -2*a = 3*v - 16. Let m(w) = v*q(w) + 55*u(w). Factor m(d).\nAnswer: 5*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -6. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 26, 22, 8, -22, -74, -154, -268?\n\"Answer: -a**3 + 4*a**2 - 5*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g**(-1)\/g*g)\/g)\/g)**(-19)\/((g\/g**(1\/10))\/(g*g**(2\/25))) assuming g is positive.\nAnswer: g**(959\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132) + sqrt(132) + -1*sqrt(132))*-2)\/(5*sqrt(108)) + (-2*sqrt(66)*4)\/(sqrt(18)\/(sqrt(3) + (sqrt(12) - sqrt(3)))).\nAnswer: -244*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (25 - 27) + (-17 - -5) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.13. Let n = o + -2.16. Let k = -0.3 + 0.4. Which is the closest to k? (a) n (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*1*sqrt(65) + sqrt(65) + (sqrt(65) - (sqrt(65) + -2*sqrt(65) + sqrt(65))*6 - sqrt(65) - sqrt(65) - sqrt(65)))\/(sqrt(180)*-2))**2.\nAnswer: 65\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/5 + 24*p**4\/5 - 114*p**3\/5 + 268*p**2\/5 - 312*p\/5 + 144\/5.\nAnswer: -2*(p - 3)**2*(p - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 102 + 2 - (-5069 + 5092).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 98.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10161916 is divided by 2882?\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -50\/9, 3, 2\/7, -3\/13, 1\/8, 1.17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237135086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + (-24)\/(-9). Let o = 44 + -38. Let n = -8 + o. Which is the nearest to j? (a) n (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2736) + 0)**2 - sqrt(209)\/((sqrt(11) + sqrt(176))*-2).\nAnswer: sqrt(19)\/10 + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3846997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283 and 706651?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 4 = 4*l. Let u = 19 - l. Let z(c) = -c**2 - 8*c - 7. What is the remainder when u is divided by z(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/(16\/56*-5)*(-71)\/213.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641169, 1282327, 1923485, 2564643, 3205801, 3846959?\nAnswer: 4488117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -227160000 to the nearest 1000000.\nAnswer: -227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/45990 and -31\/2593836.\nAnswer: 12969180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28680469.\nAnswer: 28680469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.224 - -0.024. Let h = x + 0.2. Put -1\/3, 3, -1, h in descending order.\nAnswer: 3, -1\/3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 399 or 1857313?\nAnswer: 1857313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 7*v - 3. Let b be d(-6). Suppose -4*k - 13 - b = 0. Let m(c) = -c**2 - 8*c - 3. List the prime factors of m(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37754 divided by -878.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 1. Let d(a) be the first derivative of 20*a**3\/3 + 3*a**2 + 5*a - 5. Let p(m) = d(m) - 5*s(m). What is the second derivative of p(o) wrt o?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:40 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -a + 47, 3*a + 0*u - 141 = 4*u. Suppose 0 = 3*z + a*q - 50*q - 54, 3*z - 5*q = 60. Calculate the remainder when 101 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -0.2 (c) 323 (d) 0.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3*y**2\/2 + 1. Let a(u) be the third derivative of u**4\/24 + u**2. What is a(f(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -63*r**2 - r + 1. Suppose u - 1 = -0*u. Let d be o(u). What is the common denominator of d\/28*26\/21 and 17\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452627701.\nAnswer: 452627701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 69*o - 214. Let y be l(31). Which is the nearest to 2\/13? (a) 0 (b) y (c) 1 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370493.85 rounded to the nearest one thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose -8 = -5*t + u. Solve 2*g = 6 - t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.62557 and 17?\nAnswer: 44.63469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let u(k) = 4*k + 44. Let x(v) = -12*g(v) + u(v). Let o be x(-6). What is the greatest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b38c4 + 1?\nAnswer: -1b38c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 6. Suppose x = -2*z + 3. Suppose -3*g + 0*g = -3*m + 9, -5*g - m - 15 = 0. Sort 3, z, g in decreasing order.\nAnswer: 3, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4631496 or 4631497?\nAnswer: 4631497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 418 - 438. Let b(h) = -h**2 + 8*h + 5. Let v be b(5). Let k = v + p. Solve -4*y - y - 5 = k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41423 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17581263?\nAnswer: 3, 7, 837203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -31438258?\nAnswer: 31438262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/296 and 117\/50.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145, 96, -35, -290, -711, -1340, -2219, -3390?\n\"Answer: -7*u**3 + u**2 - 3*u + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*c + 1, 2*l + 4*c + 18 = 16. Solve 5*r + 30 = 4*j, -j - 6 = -2*r - l*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4613 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((2\/(-3))\/((-16)\/24)). Suppose 0 = -4*q - a + 3, -2*q + w*a - 6 = q. Let k be 50\/8 + 2\/(-8). Solve -m + k*m - 15 = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) 64 (b) 9 (c) -8.9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3987 times -2?\nAnswer: 0.7974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -174*p**4 - 22*p**3 + 56. Let o(x) = -58*x**4 - 8*x**3 + 19. Let d(l) = -4*i(l) + 11*o(l). What is the first derivative of d(a) wrt a?\nAnswer: 232*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*s - 18, 2*k = 5*s - 31. Let x(m) = -m**2 - 9*m + 1. Let n be x(-5). Let h = n + k. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177237 (base 8) in base 9?\nAnswer: -108365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 - 2\/(-2). Let i be 2\/6 + (7 + -5)\/(-6). Put f, i, 3 in increasing order.\nAnswer: i, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 303, 638, 999, 1386?\n\"Answer: 13*h**2 + 296*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342709 + 342709 + 2221*l to the form q*l + v and give q.\nAnswer: 2221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -302 + 302 - 25*v**2 + 0*v**2 - 6*v**2 + 4*v**2 + (-2*v - v + 2*v)*(-v - 4 + 4).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.3. Let j = 1.9 - -14.1. Let v = j + -16. What is the closest to h in -1, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 1. Let j be -4 - -1 - (-6)\/3. Give i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2\/35, 0, 5, 2\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = 12. Let w = 1402 - 1393. Solve 3*s**4 - 12 - 12*s + w*s**2 - 47*s**h + 0 + 59*s**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.48 - 35. Let y = q - 14.4. Let k = y + -0.08. Sort -1\/4, 2, k in decreasing order.\nAnswer: k, 2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vie when three letters picked without replacement from efvvjji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/61 (b) 0.1 (c) -52 (d) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*f, 2*f + 19*n = 6*n - 56 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256.5 + 266. Let g = 7.5 - z. Which is the closest to -1? (a) g (b) 5 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.165 (b) 2\/5 (c) 0.2152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 55 = -8*m. Let f = m - -6. Let v(b) = b**2 + 5*b + 1. Calculate v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454.5, 0.1, -0.1 in decreasing order.\nAnswer: 454.5, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 - 6*u + 5. Let q be m(5). Let j = -60 - -60.3. Which is the third smallest value? (a) q (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22895 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 23*f = -1170. Suppose -5*n + 1916 + f = 0. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4747\/2115*(-1)\/(-2) and -11\/190?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -2011001012?\nAnswer: -2011000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71022 divided by 133.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*f**3 + 13247178*f**2 - 11354643*f + 2433132.\nAnswer: -3*(f - 90116)*(7*f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 84 - 49. Suppose 5*u - 1065 = -3*d, -g*u + 3*u + 4*d + 852 = 0. Let q = 378 - u. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127118586 divided by 127118586\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -3 + -2)**2.\nAnswer: -80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 422451.8 centuries?\nAnswer: 506942160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 161, 238, 305?\n\"Answer: -5*b**2 + 102*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1060 by 265.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 6. Let r be p(3). Let o(w) = w**2 - w - 5. Let g be o(r). Put 5, g, -4 in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1363432976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-110)*-11*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 2 - sqrt(891))**2 - sqrt(891)) + -4 + (1*sqrt(176) + -4)**2.\nAnswer: -41*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 9:08 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**4\/18 + 1316*p**3\/27 - 88*p**2\/3 - 2717. Solve d(h) = 0 for h.\nAnswer: -132, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*s**6 - 1989006*s**3 + 1122*s**2 + 2*s - 21853 wrt s.\nAnswer: 18960*s**3 - 11934036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/1220 and -35\/976?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 54535 + 18173 + 18170 + 18192.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15007, 15301, 15799, 16507, 17431?\nAnswer: 18577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + -42 + -19 + 60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgjpwwwwjjwjjppjujw. What is prob of picking 1 g and 2 p?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*((t\/t**2)\/t*t)\/t*t*t*t)\/t)**(-1\/4)*(t*(t\/t**(-5\/4))\/t*t)\/t**10)**42)**50 assuming t is positive.\nAnswer: t**(-14700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -4*x. Let b = 5512\/71 - 300463\/994. Let h = b - -451\/2. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 2261, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 2\/17 (b) -2\/15 (c) -1.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, 0.3, -0.03, 15\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - a)*(-3 + 10 + 1)*(2 - 2*a - 2).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 10*j - 15. Let s be o(13). Let v be s\/3*-2 + 3. Calculate the greatest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 159 = 3*b, -3*b - b - 159 = -3*c. Suppose a + 84 = -c. Find the common denominator of -79\/28 and (-2)\/(-4) + a\/(-18).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 11*j\/2 + 28.\nAnswer: (j - 14)*(j - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 m when four letters picked without replacement from {z: 2, f: 4, c: 2, m: 1, u: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124342, 124296, 124264, 124252, 124266?\nAnswer: 124312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 2. Let l(k) be the first derivative of -k**4\/12 + 2*k**3\/3 - k**2 + 4. Let r(u) be the second derivative of l(u). Determine 5*c(m) - 2*r(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 720 = -i. Let n be 34\/(-2 - i\/(-357)). Let x be 36\/(-24) + n\/2. What is x rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -776396*f**2 - 3328*f - 341 wrt f.\nAnswer: -1552792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6673399?\nAnswer: 6673399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 57, 55, 53, 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 901980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**5 + 0*u**4 + u**4 + 2*u**4 + 0*u**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*j - 5, j - 2*j = 4*l - 25. Let n(y) = -j*y + 4*y + 2*y**3 - y**2 - 3 - 3*y. Calculate n(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80873\/495 + -817\/5. Let g = 86\/99 - d. What is the common denominator of g and -31\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*n - 33, 5*s = -0*n - n + 15. Suppose -a + s*a = 6*a. Solve -2*j + 0*j + 4 = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -15*m. Let z(o) = -107*o. Calculate i(z(j)).\nAnswer: 1605*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(35)\/sqrt(5)))\/((sqrt(400)\/sqrt(10))\/sqrt(8)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*f = 6*f + 24, 4*f = -20. Let m = o + -3. Let j(s) = 6*s**2 - 3*s - 3. Let r be j(m). Solve -p + 10 = -r*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -10. Let p = r - 16. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:48 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001719 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.53 and -350432.83684.\nAnswer: -350432.30684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51326582, -51326590, -51326610, -51326648, -51326710, -51326802, -51326930?\nAnswer: -51327100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2075632?\nAnswer: 2, 13, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k = -42*k - 72*k - 158 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 34*i**2 - 9460*i - 2. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-8))**(-1\/35)*d**(-11)*d*d*d**(-3\/8) assuming d is positive.\nAnswer: d**(-2697\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24234 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 9, 2, -25, -84, -187, -346?\n\"Answer: -2*f**3 + 8*f**2 - 9*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2553 and -62\/460173.\nAnswer: 391607223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.659 + -6.341. Let j = 0.24 - -11.76. Let k = j + l. What is the closest to 0 in k, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -13 - -10 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 18*t + 2. Let c(k) = -5*k**2 - 55*k + 5. Suppose -462 + 333 = 43*p. Give p*c(x) + 8*u(x).\nAnswer: -x**2 + 21*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2\/11, -45009 in decreasing order.\nAnswer: 15, -2\/11, -45009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 1022, 1534, 2046, 2558, 3070?\nAnswer: 3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22ce (base 16) to base 15.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 425218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1216*m**2 - 2*m + 62. Let v(k) = -3649*k**2 + 6*k - 184. Let h(p) = -3*v(p) - 8*w(p). Is h(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 7*b = -6. Suppose -5*t + 2*t + 81 = -3*r, -r - 77 = -b*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.7*-1.66487.\nAnswer: 31.133069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/60 - h**5\/5 + 17*h**2. What is the third derivative of l(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 - 8*u**4 + 0*u**4 + (-u**3 - 2*u + 2*u)*(-6 + u + 6) - 5 - 3*u**4 + 5 - u**4 + 0*u**4 + 3*u**4.\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {w: 1, u: 6, s: 2, j: 4, n: 2, k: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8*m + 30, -2*m + 7*m = -5*k - 200. Which is the fifth smallest value? (a) 5 (b) 2 (c) 4 (d) k (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*x**3 - x**2 - 19*x**3 - 3 + 16*x**3 + 3 in the form j*x**2 + b*x**3 + n + w*x and give b.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210763\/33 + -6387. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(275)*-2 + sqrt(275)*-1 + sqrt(275) + -2.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13584901, 13584907, 13584913, 13584919?\nAnswer: 13584925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001184 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -8)*28\/3. Suppose -q = -0*q - v. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/15)\/v)\/(v\/(v*(v*v**(-1\/13))\/v*v))*v**(-1\/2)\/(v\/(v**9\/v)))**28 assuming v is positive.\nAnswer: v**(39802\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 + 2*m**3\/3 - m**2 + m + 49. What is p(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*t**3 + 5 - 7*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 128*r - 5014. What is g(35)?\nAnswer: -2984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43927 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1053\nAnswer: 5\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 15932*w - 31848 = 0.\nAnswer: -3981, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7861446727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v = -136*v - 59*v + 4480 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 15*j - 32 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 3*n. Let a(w) = 56*w**2 + 84*w - 14. Calculate -a(y) + 28*r(y).\nAnswer: 28*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.06357.\nAnswer: -0.56357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272699\/27816 - -1475\/152. Calculate the common denominator of l and 5\/24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 5*r - 2. Let b(f) = f**3 + 9*f**2 - 11*f + 5. What is 2*b(h) + 5*l(h)?\nAnswer: 2*h**3 - 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*c + 10 = 0, -v + 3 = v + c. Let f be (6 + -6)\/1 - (3 - -1). Let i be 1\/((-8)\/f)*v. Calculate the greatest common divisor of i and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2677, 5356, 8035, 10714, 13393?\n\"Answer: 2679*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - 4 + 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/2 + t**4\/6 + t**3\/3 + t**2\/2 - 313*t. Calculate g(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9432, 19521, 30260, 41649, 53688, 66377, 79716?\nAnswer: 93705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 278, 300, 322, 344?\n\"Answer: 22*s + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 2*u - 7. Let t be s(4). Let a(c) = 10*c**3 - c**2 + 1. Is 10 a factor of a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-48))\/(4*(-9)\/(-6)). Let q = l - 73\/288. Which is the smallest value? (a) 4 (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*h = 154*h. Let f(z) be the first derivative of -4 - 34*z + h*z**2 - 20\/3*z**3. What is the first derivative of f(p) wrt p?\nAnswer: -40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 12:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (3 - (-12 - 10)). Is c > -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*w + 166*w - 5040 = 0. Does 45 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286 + 2285\/8. What is the common denominator of 71\/18 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 90. Suppose -s*z - 2*z = 5*g - 705, -2*g = -3*z + 423. What are the prime factors of z?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 824472 by -2082.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 702*h - 55055 - 48686 - 12089. Calculate the smallest common multiple of h and 440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396) + -1)**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47556.87 + -0.02.\nAnswer: -47556.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 1425 + 1435. Sort -19, 5, j, 3 in increasing order.\nAnswer: -19, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 40 = 4*b, -p - 28 = -2*p + 4*b. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z + 5. Let h = -43 - -51. Calculate o(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -43. Let z(l) = 2*l + 3 - 9 + 5 - l**f - l. Let t(i) = 2*i**3 + 5*i**2 - 5*i + 4. Calculate -t(v) - 5*z(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (41 + 3)\/(-11) - -33. Sort j, -5, -2, 0.\nAnswer: -5, -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(15) - sqrt(75)\/sqrt(5)))\/(-3*sqrt(45)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(2\/7)*u**(-6)*(u*u\/u**(1\/3)*u)\/u*(u**(-2\/11)\/u*u\/(u*u**(-1\/2)*u*u))\/((u**(3\/7)*u)\/(u\/(u*u**(-2\/9)))) assuming u is positive.\nAnswer: u**(-11791\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 4. Give g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1424 + 3364. Round f to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3781085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 4. Let p(y) = -12*y + 55. Let i be p(5). Let j(a) = 4*a - 5. Determine i*c(l) + 4*j(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-20))\/(8\/(-60)). Solve 0 = p*o - 3*r, 2*r + 12 = 2*o + 6*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*d**3 + 253*d**3 - 665*d**3 + 224*d**3.\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 95496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = 2*k. Let y be (-6)\/(-5)*45\/27. Suppose 4 = n, 0 = -3*w + 6*w + k*n - y. Which is the second biggest value? (a) -0.2 (b) -5 (c) -4\/5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19428400 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 + -345. Let n(t) = -2704*t - 41. Is n(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 37865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*v + 2, -2*h + 12*v - 6 = 11*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618.663 centuries to years.\nAnswer: 61866.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 131516.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 + 142 - 210 = -36*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 13*k**3 + 2*k**3 + 4*k**2.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (186\/217)\/(9\/(-152)). Let k = 7403\/420 + h. Let u = -306 + 2489\/8. Calculate the common denominator of u and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18*f**10)\/(f\/f**(-5\/2))**(-2\/9) assuming f is positive.\nAnswer: f**(259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 + 2*o - 1 + (5 - 1 - 3)*(-o - 2*o + o) + o + 1 - 1 + (3 + 2 - 3)*(-o - 2 + 2) to the form r + y*o and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 494*z. Let k(x) = -4*x**2. Give a(k(t)).\nAnswer: -32*t**4 + 1976*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2912)\/624)\/((210\/(-36))\/1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 775329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 310011 (base 7) to base 12\nAnswer: 266a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 8*p + 8. Let a be 2*((-36)\/p + -2). Calculate the highest common divisor of 45 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 3*j + 3. Let a be y(2). Let w(v) = v + 3. Let k be w(-1). Let h be 0 + 0*(-1)\/k + 0. Solve 0*o + 2*o + l + 11 = h, 10 = -a*o + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*x + 10, 4*x - 10 = 2*x - 4*g. Factor w**4 - w**2 + 0 + 1\/2*w - 1\/2*w**5 + 0*w**x.\nAnswer: -w*(w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -7.4. Let g = -3 - z. Let p = g - 2. Sort 0.3, p, -0.5 in increasing order.\nAnswer: -0.5, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/58 and -67\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 25*z = 0. Suppose 178 = 3*v + 5*u, z = 4*v - 2*u - u - 276. Calculate the remainder when v is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -0.2, 2\/15, -435, -0.1, 0.32?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 15*j**3 - 7*j**3 - 24 - 8*j**3 wrt j.\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15))**(-2\/49)\/(((c**8\/c)\/c)\/(c\/c**(-2\/11))) assuming c is positive.\nAnswer: c**(-2267\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + 14.4. Let v = -0.49 + -0.51. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 - 77. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 56. Suppose -12 = 4*k - o. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 18 = 0. Suppose -3*p + 2*p + 2*b - 4 = 0, 5*p + 5*b = 40. What is the remainder when f is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 361151742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millennium in years?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*y - 14111, -3595 = -l - y + 3471. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13323, 14272, 15221, 16170, 17119?\n\"Answer: 949*c + 12374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23494, -23462, -23418, -23356, -23270, -23154?\nAnswer: -23002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*w + 107*w + 28 = 0, -4*w = -5*c + 148. Solve -67*f = -75*f + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 5\/747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) - (sqrt(294) - (sqrt(294) - (sqrt(294) + (-1*sqrt(294)*-1 - sqrt(294))))))\/sqrt(6))\/(-3*(sqrt(7) + sqrt(28)\/sqrt(4)*-3 - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 467.178 millilitres?\nAnswer: 0.467178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 117*q - 3408. What is b(-63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -370.11 + 372. Let h = -0.11 - u. Let v = 39 - 39.9. What is the smallest value in v, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.4. Let y be (-64)\/(-72)*1143\/6604. What is the closest to -1 in g, -2\/11, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w**4 + 11674475*w**3 - 504787868235*w**2 + 7275301887647745*w + 4446206339350545 = 0 for w.\nAnswer: -11\/18, 43239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 914334145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53201455873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2 + 5286934*q - 136892930?\nAnswer: -4*q + 5286934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, 6, 42, 114, 234, 414?\n\"Answer: 2*w**3 - 2*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**4 + 5 + 0*g**4 - 4*g**4 - 6 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1089 divide 25059722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5496 = -125*j + 48746. Solve 284 = 126*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -21*o - 812. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) -7 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 799600?\nAnswer: 799600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2330052*u - 4291420 wrt u.\nAnswer: -2330052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a. Let c(l) = 2*l**2 - 13*l - 19. Let b be c(8). Suppose -11 = -b*u + 14. Solve -4*q - u*y + 11 = 0, 4*q = 3*y - a*y + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:27 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -22*j**3 - 10*j**2 + 22*j + 10. Let p(z) = -z**2 + z + 1. Let a(q) = -10*p(q) + t(q). What is the second derivative of a(h) wrt h?\nAnswer: -132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-10)*-2*(1 - -4). Sort 4, -4, w in ascending order.\nAnswer: -4, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)*v**15)\/((v\/v**(1\/32))\/(v*v**(-3\/5))))**(-38) assuming v is positive.\nAnswer: v**(-313177\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 1\/7 (b) -1\/6 (c) 1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 35 (c) -630 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-2)\/(-24))\/((-1)\/5)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9304 + -9309. What is the nearest to -44 in -2, 5, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -26*p - 5*o, 5*p - 6001*o = -6005*o - 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.981 times -18020\nAnswer: 89757.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 9 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 38961\nAnswer: -31168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12545714 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(5*o - 3*o + 0*o) + 2*o - 3*o + 2*o - 5*o + 4*o + 5*o)*(4 - 6 + 0)*(5*o - 2*o - 2*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 8:03 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**5\/30 - g**4\/8 + g**2 - 4*g. Let w(y) be the first derivative of x(y). What is the second derivative of w(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631484 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 101, 220, 377, 566, 781, 1016?\nAnswer: 1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1112 by -4.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l - 3. Suppose 5*y = 2*v - 0*y - 8, -3*v - 6 = -3*y. Give b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - ((-261)\/(-21) - 2). Let p = 0.07 - 0.37. Sort m, p, -1.\nAnswer: -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 519052552 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 11*o**6\/15 + 19*o**5\/20 + 985*o**4\/12 + 7*o - 12. Find the third derivative of w(n) wrt n.\nAnswer: 528*n + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 4*o = -12*o. Suppose -q - q = -24. Solve o*b - q = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a + 15 = 0. Let i(s) = -s. Let x(w) = 4 + 2 - 4 - 4. Let o(z) = 3*i(z) - x(z). Let h(k) = 4*k - 3. Calculate a*o(j) - 4*h(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/60 - s**4\/2 + 2*s**3 - s**2. Let x(z) = z**2 + 201*z - 3229. Let w be x(-216). What is n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11567842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 4*m**3 + 3 + 2*m**3 + 3*m + 0*m**3 as g*m + t + l*m**2 + p*m**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbj when three letters picked without replacement from {e: 3, h: 3, b: 7, d: 1, q: 2, j: 1}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 3*l - 3. Suppose 4*b - 2*b + 4 = 0. What is the tens digit of s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314 - -449. Let h be 8\/20 + (-84)\/g. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/232)\/((-956)\/(-72) - 13)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38415 is divided by 7619.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**3 - 10. Let s(k) = 35*k**3 - 49. Determine 14*p(w) - 3*s(w).\nAnswer: -7*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78\/23 - -5443\/920. Find the common denominator of 17\/22 and j.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*y + 338 = 0, 9 + 193 = 3*b + 2*y. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2\/4 + 145*l\/2 + 3485\/4 = 0.\nAnswer: -41, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 3\/5 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 4, r: 2, q: 2, l: 1}. What is prob of sequence qq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1124*w**3 + 42*w**2 - 40*w - 1. What is p(1)?\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgy when three letters picked without replacement from {j: 5, y: 6, g: 4, l: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 78\/1517 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from sedpcppep?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 86\/41933247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2 + 1 - 5)*(-4*b - 2*b + 2*b + 4).\nAnswer: -16*b + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0466 + 0.0534. Let j = -1202\/5355 + -5\/153. Let h = -11\/315 - j. Which is the biggest value? (a) -3 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6937200 to the power of 1\/2, to the nearest integer?\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555191860 to the nearest integer?\nAnswer: 23563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**3 - 9*p**3 + 31*p**3)*((17 - 3 - 123)*(2 - 1 + 0) + 1 + 3 - 2).\nAnswer: -1498*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 - 123 = -2*t. Let m = 31 + 2. Calculate the greatest common divisor of t and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v - 488 + 713 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (22\/(-6))\/(((-1)\/(-18))\/((-6696)\/48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1768084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107.1 times -52?\nAnswer: -57569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 4 + 4\/9*u**3 + u**2 + 1\/18*u**4 - 5*u. Let g(b) be the first derivative of c(b). Determine f, given that g(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219072*q**3 + 83815*q**2 wrt q?\nAnswer: -1314432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - 1. Let k be l(-3). Suppose w = 2*w + 3*b - k, 3*b = -2*w + 28. What is the common denominator of -32\/9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 - 36. Suppose -14*w = -125 - 29. Let i(f) = 15*f**2 - 66. Let m(t) = w*h(t) - 6*i(t). Let n(y) = -184*y - 2. Give m(n(g)).\nAnswer: -67712*g**2 - 1472*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 47129516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5453001 is divided by 458.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + -3 + 5 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - 173\/2. Let i = x - 7. Factor i*s**4 - 2*s**3 + 2*s - 2 + 3\/2*s**2.\nAnswer: (s - 2)**2*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l + 4*l - 9*l + 1. Suppose -10 = 2*q, -q + 2*q = a - 10. Let o(n) = n**2 + 3*n + 3. Determine a*c(f) - o(f).\nAnswer: -f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose 2*s + 3*s = k. Suppose -75 = -s*c - 5*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1049.\nAnswer: 10490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7513 + 7503. Let u(c) = 2*c**2 + 17*c - 12. What is u(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325.2*-3.\nAnswer: -975.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -40*y + 293. Let h(k) = 12*k**2. What is r(h(u))?\nAnswer: -480*u**2 + 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 9*g**2 - 4*g - 1. Let d be t(-9). Let o = -20 + d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/((sqrt(2) - sqrt(32)) + sqrt(2)))\/(sqrt(20)\/(sqrt(5) - (2*sqrt(5) + sqrt(5)))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and 11\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z = 52, 0 = 2*u + 3*z - 861 + 883 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:48 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.7. What is the nearest to -2 in r, -3, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/12 - 2*m**3\/3 + m**2 - 3*m + 12. Give g(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 - 3. Let y = -0.46 - h. Let p = 0.0399995 - y. What is p rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2916?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 3.97. Which is the second smallest value? (a) 1 (b) p (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19264374?\nAnswer: 2, 3, 1070243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 9035?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 9*d - 8. Let t(l) = -2*l**3 + 11*l**2 + 6*l + 4. Calculate the lowest common multiple of t(6) and i(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1125.359108 - 0.029108. Let m = n + -1119. Let t = m + -0.63. What is t rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.68 + 1.68. Let l = -80 + 84. Suppose -7 = -3*n + 2. Put t, n, l in descending order.\nAnswer: l, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.84 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l)*(-2*l - 3 + 3) - 497*l - 40*l**2 + 497*l + 4*l**2 - l**2 - 2*l**2.\nAnswer: -41*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 1:48 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49a6 (base 12) to base 13.\nAnswer: -3a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67219, 66181, 65143, 64105?\nAnswer: 63067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.2. Let k = 0.3 - q. Let z = -39 + 35. What is the biggest value in k, -2\/5, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 374*m**2 - 124*m**2 - 113*m**2 + 26*m**4 - 141*m**2 + 2 as b*m**2 + t + k*m**4 + g*m + l*m**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*y + 3*o - 20, -1 = y - o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1219 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93715 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*(b*b\/(b*b**(-1\/8)))\/b))**(-3)\/(b**8)**(-2\/19) assuming b is positive.\nAnswer: b**(185\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435852 (base 9) in base 7?\nAnswer: 6505022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 933 - -3770. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 125 = 2*n, t + 171 = -3*n + 331. Which is bigger: 1822\/13 or t?\nAnswer: 1822\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 + 1.1. Let c = -26.03 - -0.03. Let g = c - -28. What is the closest to -1\/3 in 0.2, w, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyytozttottoqzttzot. Give prob of sequence zq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdq when three letters picked without replacement from {s: 5, d: 2, q: 5, i: 1, c: 5}.\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 42. Let b = 7 - 7.6. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 9*a**2 - 5*a - 8. Let t be g(-6). Let f = 6138315\/17 + -360343. Let h = f + t. Is h >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g - 1. Determine y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) -5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61.81195km?\nAnswer: 61811950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/4 - 565965*s\/2 + 106772127075\/4 = 0. What is s?\nAnswer: 188655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 - 300. What is the fourth smallest value in 2\/15, 12, -34\/7, c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**3 - s**2 + 52*s**4 - 50*s**4 + 1 + 2*s**3 + 4*s**3 in the form k*s**3 + z*s + r*s**4 + t*s**2 + v and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 784 and 896?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + 2*sqrt(304) + -2)**2.\nAnswer: -96*sqrt(19) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341874 is divided by 1386.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.2 - -114.2. Which is the second biggest value? (a) 4 (b) -51 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3\/4 + 30*p**2 + 228*p + 1796. Let a(o) = 0. What is o?\nAnswer: -76, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.307 + -0.507. Sort 0.4, 0.2, 13, z, 0 in decreasing order.\nAnswer: 13, 0.4, 0.2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {n: 1, c: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13955\/6, 4, 1.8.\nAnswer: -13955\/6, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 49 = -1. Let u = 18 - l. Solve -u*g + 11 - 3*g - g**2 + 4*g**2 - 5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, e: 7}. Give prob of picking 1 e and 1 a.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w - 38*w + 48*w + 67*w**3.\nAnswer: 67*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186832 and 1792.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**3 - 48*l**2 + 549*l - 2. What is r(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38404569 from 9.4.\nAnswer: 38404578.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/343)\/5*434\/(-93)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 2. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let v = l - 2. Which is the nearest to v? (a) 0.1 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*w = -21024, 8*w = 5*p + 6*w - 26336. Does 31 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 5*g**2 - 8*g + 8. Let p(z) = -z**3 + 5*z**2 + 7*z - 7. Let v(w) = -6*p(w) - 5*r(w). Let b be v(9). Suppose -i - 3*i = -b. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)*(1 + -4)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 753\/7 + -4511\/42. Let r(x) be the first derivative of 10 - g*x**3 + 0*x - 1\/12*x**6 - 3\/8*x**4 - 3\/10*x**5 + 0*x**2. Find f such that r(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7901 (base 11) in base 14?\nAnswer: 3b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 = -6*q + 518 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049726 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -30\/7, -16\/7, 595?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1.6 (b) -3 (c) 0.08 (d) 4 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 8*q**2 + 10*q - 1. Let h be ((-2 + 3)*-18)\/(-2). Is 8 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 13*k**2 - 32*k - 184. Determine w(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.44 - 12.56. Let c = 13.00000017 + s. Round c to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 - 0.07. Let t = -1.534 - 0.436. Let g = t + b. What is the second biggest value in g, 0.2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70\/369 + 4\/123. Let v(m) = 3*m - 3. Let z be v(2). Suppose -6 = -q - 2*x + x, z*x = -4*q + 19. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2371855*k**3*u**3 + 148*k**3*u**2 + 79*k**2*u**3 - k**2 - 710599*u**3 wrt k.\nAnswer: 14231130*u**3 + 888*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -160, 1, -5, 57, -3 in descending order.\nAnswer: 57, 3, 1, -3, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 87918902.\nAnswer: 87918902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118731 is divided by 231?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 5600?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:35 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2626 - -0.6626. Put 1, d, -4, 18 in ascending order.\nAnswer: -4, d, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 4572845?\nAnswer: 4572840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36243907?\nAnswer: 7, 5177701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5394 rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 2. Let z(y) = 2*y + 9. Let c be z(-7). Let l(n) = -3*n**2 + 12*n**2 + 0*n**2 - 5. Give c*u(v) - 2*l(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o - 5*u + 5, -4*o - 2*u + 20 = 0. Suppose 3*c = 4 + o. Calculate the least common multiple of c and (2 - (-10 + 0)) + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 20. Suppose -f + 6*f - s - 80 = 0, -d*s = -25. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(49*b - 13*b + 58*b).\nAnswer: -94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4 + 2*i**3 - 9*i**2 - 2*i**3 - i**3 - 6*i - i. Let z be r(-8). List the prime factors of (z\/(-3))\/(20\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 0.3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 6. Solve -t*h + 6 - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/2, -2, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 165 = s. Does 9 divide 1 - (-1 + s\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133650 is divided by 26730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1. Let n(v) = 2*v**2 + 4*v + 33. Determine 4*b(d) + n(d).\nAnswer: 2*d**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 199.5 and 4.\nAnswer: 203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 42. What is the remainder when 19 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 70\/3, 6, -0.61, 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*v + 187*v + 97*v.\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17216069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1664*f**3 + 20*f**2 - 80. Let b(t) = -t**3 + t**2 - 4. Give -20*b(n) + u(n).\nAnswer: 1684*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/15)\/((-6)\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1488*m**2 - 4*m - 12. Let d(i) = 217247*i**2 - 583*i - 1749. What is -4*d(t) + 583*o(t)?\nAnswer: -1484*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 5*d**2 - 10*d + 6. Let b(l) = -l**2 - l - 3. Let u(x) = -3*x**2 - 4*x - 10. Let a(g) = -7*b(g) + 2*u(g). What is -5*a(r) + p(r)?\nAnswer: 2*r**3 - 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.048 and 240?\nAnswer: 239.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/7 + 0 - -129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let b(g) = 1481*g. Let u(n) = -5107968*n. Let y(t) = 10346*b(t) + 3*u(t). Calculate y(v(k)).\nAnswer: 2956*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*o + 3836 = 543*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776180*b**2 + 563420*b + 102245 = 0. What is b?\nAnswer: -143\/394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**4\/4 + 3129*l**3\/8 + 9387*l**2\/2 + 57411*l\/8 - 5313\/4 = 0. Calculate l.\nAnswer: -161, -11, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**2 + 5. Let z(a) = 8*a**2 - 6. Let b(r) = 6*l(r) + 5*z(r). Let t(x) be the third derivative of -x**5\/12 + 11*x**2. Calculate b(t(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 + -96.06. Let a = 162 - 162.3. What is the smallest value in 5, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 70*t**2 + 30*t + 64. Let h be f(17). Let k = 3 - 6. Which is the closest to 2? (a) h (b) k (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -884.17 - -878. Let m = 5.97 + v. Put m, 1\/7, -4 in descending order.\nAnswer: 1\/7, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = 20. Let j = 2.9 - 3. Which is the closest to j? (a) -3 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 170333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 257, 5, -0.3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00504976862 to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 17. Let t = -15 - -10. Let i(k) = k + 17. Let p(q) = t*w(q) - 4*i(q). Does 4 divide p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g**3 - 25*g**2 - 22*g - 38. Let h be ((12\/9)\/4)\/(5\/195). Let v(d) = -7*d**3 - 12*d**2 - 11*d - 18. Let l(b) = h*v(b) - 6*n(b). Factor l(s).\nAnswer: -(s + 1)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x = 9 + 51. Suppose 0 = -3*c + 4*c - 5. Solve c*u - x = 0, 2*u + 3 = -3*v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 7*g - 2. Let b be k(-6). Let p(q) = -14*q + 17. Let m(w) = 5*w - 6. Let d(y) = b*m(y) - 3*p(y). Find the first derivative of d(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/22 and 31\/8647530.\nAnswer: 95122830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078*u + 4831*u - 25354 = 21918 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 300*y + 302*y - 605*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 21*y - 17. Let x(t) = 5*t**2 - 32*t - 26. Let q(l) = 8*b(l) - 5*x(l). Give q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -489245*c**4 + 7*c**3 + 2*c**2 + 30979592*c wrt c?\nAnswer: -5870940*c**2 + 42*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -75*l + 30. Let n(s) = 15*s - 6. Let d(t) = 4*m(t) + 21*n(t). Let v be d(4). Suppose -b = -4 - 32. Calculate the highest common divisor of v and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 255 + 14. Calculate the remainder when m is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/20*24)\/((-9)\/60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1041464 by -520732.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**2*z - 422*g**2 + 101*g - 334445846*z wrt g.\nAnswer: -2*g*z - 844*g + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 5*d**2 - 4*d + 3. Let h be a(4). Suppose 2 = h*i + 5. Let x = 238\/45 - 44\/9. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzss when four letters picked without replacement from nnzmsbs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2606*z**2 - 2185*z**3 + 2613*z**2 - 5219*z**2.\nAnswer: -2185*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, 144, 321, 568, 885, 1272, 1729?\n\"Answer: 35*n**2 + 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + l - 19 = 0, -b - 8 = -4*l + 5. Let q be 3 - b*(-6)\/9. Suppose -60 = -2*j - 4*g, 5*j + q*g + 50 - 185 = 0. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7 - -6940?\nAnswer: 69f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -396558316\/229827 + 143200\/83. Let d = -2\/213 - r. What is the closest to -1 in 2\/9, 2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88011995 - -5?\nAnswer: -88011990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**10)\/v)*v*v*v**(-8\/3))**(31\/3))**46 assuming v is positive.\nAnswer: v**(44206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a409586 - -6?\nAnswer: -a409580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(11)*3 + (1*sqrt(55)\/sqrt(5) - sqrt(11))**2.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 6. Let i be z(5). Let a(x) = -7*x + 4. Let n(g) be the third derivative of g**4\/24 - 136*g**2 - 3*g. Calculate i*a(b) - 6*n(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -34*n**2. Let o(d) = d. Determine o(a(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, -0.5, -0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 30. Let o(u) = -u**3 + 4*u. Let w be o(2). Let k be r(w). Suppose d - 27 = -k. What is the nearest to -0.1 in -2\/11, d, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -466, -2, 0, -6, -4 in ascending order.\nAnswer: -466, -6, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572.8*3.\nAnswer: 4718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(6*((-154)\/11)\/(-924))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d - 5\/112*d**8 + 7\/30*d**5 + 0*d**3 + 0 + 0*d**6 + 0*d**7 + 0*d**4 - 13*d**2. Find the third derivative of g(j) wrt j.\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 11*x = -4*o + 5, -5*x - 30 = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/280*12*-14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 - 1058532*o + 1058536 = 0 for o.\nAnswer: -264634, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1738 + -69. Does 101 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 >= -498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 14*b**2 + 9*b. Let t be f(-8). Let l = 11 + t. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 + 0 + (-4 + 140\/30)*-3 and 4880.\nAnswer: 34160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 6.4.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5858921 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 ucjjicuiujcjiiici. Give prob of picking 2 j and 1 c.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14856 and 49968?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + sqrt(400)*1*-5 + 1*sqrt(400)*-1)\/((sqrt(128) - 4*sqrt(128)*-1) + ((sqrt(128) - sqrt(128)*-1)*3 - sqrt(128))).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20110, -80471, -181070, -321901, -502958, -724235?\nAnswer: -985726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383371936.\nAnswer: 2, 97, 113, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + -5 + 7 - -8) + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8473188, 8473182, 8473176, 8473170, 8473164?\nAnswer: 8473158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.62198066 to two decimal places.\nAnswer: 44.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33969649.\nAnswer: 7, 4852807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 331008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 295, 297, 299, 301, 303?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 4*s - 7. Let m be a(3). Solve 3*g = -d + 8, 5*d - 8 = g - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 419839053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/(-3))\/((-156)\/1170)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -1\/12 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1606 divided by -22\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 331?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203888605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5656882 divided by 77?\nAnswer: 73466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -250482 divided by -41747\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.9181 or -0.1?\nAnswer: -4.9181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 837*q - 8. Let i(p) = -175769*p + 1682. Let n(j) = 841*d(j) + 4*i(j). Let g(s) = 2*s**2. Calculate g(n(x)).\nAnswer: 1414562*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*m = 68, -j - 3*m = -4*m + 34. Let l = j + 59. Let p = l + -6. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 680822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 - 231. Sort y, -3, 38 in descending order.\nAnswer: 38, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + 0\/1. Let t = -9.7 - -9.5. What is the nearest to -1 in 2\/7, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 48043 - 48052 = 5*w, -w = 7*f - 59 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -2. Let g be 24\/9 - (-2)\/i. Suppose -3*t + 18 = 6. Solve t = g*a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577687 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83797805 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*w + 340 = 8*w, 0 = n - 4*w - 44. Suppose 0 = -20*v + 24 - n. Let r(b) = b**2 + 6*b + 4. Calculate r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 175785206 from -0.6.\nAnswer: -175785206.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 6. Let u be j(11). Let t(w) = 0*w + 3*w - u*w. Let p(k) = -3*k**2. What is p(t(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -41\/5 (c) -19 (d) 3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86711\/4 - 21809. Let p = t + 132. What is the smallest value in 1, 1\/7, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from xlkzllzlu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 23. Suppose 20 = 4*q, -o*x - 7*q = -3*q + 864. Does 4 divide x\/(-7) + 15\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 16 = 34. Let i be 2*(4 + (-1)\/r). Solve 8 = -o + 4*a, 3*o - i*a + 2*a + 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*n + 45 = -21, 3*n + 6 = k. What is the units digit of 19 - (-2 + k) - (-473 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58509552 and -0.042.\nAnswer: -58509552.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c - 32*c = 1472. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from cfffffffcfffcfcffff?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94540*n - 1503*n**4 + 94540*n)*(3 + 1 - 5)*(-2 + 0 + 0).\nAnswer: -3006*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.54286m in centimeters?\nAnswer: 4654.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362462 divided by 2.\nAnswer: 181231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3784*f**3 - 273*f**3 - 3652*f**3.\nAnswer: -7709*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x**2 + 44*x**2 - 2*x**3 + 0*x**3 - 20*x**2 to a + n*x**2 + w*x**3 + j*x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1067\nAnswer: 426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 7*h - 3. Let x be f(-5). Let t be (-32)\/6 + 12\/x. Let a = 8 + t. Solve 0 = a*r + 7 + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a**3 + 2*a**2 - 1. Let u be p(1). Let f(x) = x**2 - 24*x + 69. Is f(u) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8084 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -23122003011?\nAnswer: 23122003011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 20 = s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -11. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + f = -f - 50, 4*f = 5*r - 250. Suppose -r = -14*i + 6. Is 3 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 + 36*r**2 - 2*r + 4. Let u(c) = c**2 - 2*c + 1. Calculate -l(g) + 4*u(g).\nAnswer: 3*g**3 - 32*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/32? (a) 0.7 (b) 1\/13 (c) 29.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000232803 rounded to 6 dps?\nAnswer: -0.000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 - 22104?\nAnswer: -22104.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 12:21 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61734294, -123468588, -185202882, -246937176, -308671470, -370405764?\n\"Answer: -61734294*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29747921 to the nearest integer?\nAnswer: 5454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 14410*a + 14415.\nAnswer: -5*(a - 2883)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4 + 2. Let d be ((-7)\/(-2) - o)\/(2\/16). Suppose 5 = d*t - c, t - 4 = -4*c + 10. Solve 0 = -0*v - 5*v + t*z - 8, 3*v - 3*z = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/7, 73, -4, -53?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 253 - 6*q**2 + 4*q**3 - 253 + (q**2 - 4*q**2 + 0*q**2)*(-3*q - 2 + 2) + (q + 2*q + q)*(-q**2 + 0*q**2 + 2*q**2).\nAnswer: 17*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 9984 + h - 8800 - 142)*(2*h**2 - 2 + 2).\nAnswer: 2*h**3 - 38040*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 7, i: 8, e: 1}. What is prob of picking 1 z and 1 x?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 2*n**3 + n**3)*(-17*n - 18*n + 8*n)*(-16*n - 15*n - 6*n) + (-3 + 0 + 1)*(2*n**5 + 3*n**5 + 0*n**5).\nAnswer: -1009*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(15\/(-3)) - (-1 - -696002). Round t to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 15116*j - 2 + 14890*j to v + q*j and give q.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 704, 1406, 2106, 2804, 3500, 4194?\n\"Answer: -d**2 + 705*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1979*r - 5760 = -220*r + 1121*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1937535*i**2 - 1. Let n be d(-1). Let s = -17469709\/9 + n. Let g = 3552 + s. What is the common denominator of g and 5\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {q: 1, b: 6, z: 3, w: 2, u: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 41, 206, 1?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -465, 1972 in increasing order.\nAnswer: -465, -5, -3, 1972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((a - 4*a + 4*a)*(0 - 4 + 5) - 1 + 1 + 2*a - 2 + 2 + 2*a)*(5*a - 32 + 18*a + 30) to z + c*a**2 + i*a and give c.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 23396595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:46 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56420.4 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(23*w**3 + 40*w**2 - 39*w**2 - 87*w**3).\nAnswer: 320*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -999743, -3998962, -8997661, -15995840, -24993499, -35990638?\n\"Answer: -999740*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:39 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 4, u: 1, k: 2, e: 3, h: 3}. What is prob of sequence hhh?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = o + 5, 3 = 5*k - 3*o. Suppose 0 = -5*y + 3*s - 0*s - 17, -s + 19 = -5*y. Let d be -4*3\/(y*k). Is 0 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44543462 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26003, 52002, 78001?\nAnswer: 104000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*q*s**4 + 3*q*s + 2427*q - 24*s**4 wrt s.\nAnswer: 52*q*s**3 + 3*q - 96*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161*x**3 + 31*x**3 + 28*x**3)*(5*x - 2*x - 2*x) to the form c*x**2 + f*x**4 + g + w*x**3 + z*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 64111 (base 8) to base 16\nAnswer: 6849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 6*x + 20*x + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/2 - 5*m**3\/2 - 13*m**2. What is the first derivative of g(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(-1\/2)*f*f))**28*(f\/f**(2\/13))\/(f*f\/f**(-5)) assuming f is positive.\nAnswer: f**(-1354\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 60 = 5*n, -2*l + 69 = 5*n + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 627 - 316. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 + 1034*l**2\/5 + 53664*l + 532512\/5.\nAnswer: (l + 2)*(l + 516)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99424 greater than or equal to 104448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 + 31. Let z(o) = 6*o**3 + 46. Let m = 10 + 3. Suppose m*g + 20 = 9*g. Let i(j) = g*z(j) + 8*c(j). What is the first derivative of i(y) wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 32 + 29 - (4 + -6 - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -17, -15, 3, 2, 1 in increasing order.\nAnswer: -17, -15, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 4*h + 3*i + 2929, -4*h + 2932 = -4*i. Suppose 2*d - h = 268. What are the prime factors of d?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/4 + 13*z**4\/2 + 3*z**3\/2 - 41*z**2 + 211*z\/4 - 39\/2.\nAnswer: -(z - 26)*(z - 1)**3*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfe when three letters picked without replacement from {e: 4, l: 3, v: 2, f: 1, u: 1, r: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 336857844749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**2\/2 - 6*z. Let a(l) = 4*l + 8. What is -a(b) + 8*f(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33024 and 8471?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -344.8 - -293. Let v = l - 3.6. Let k = v - -55. What is the second biggest value in -2, k, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/655 and 139\/786?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 90 - 62 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3971\/498 + 16\/83. Let q = -4382 + 96423\/22. Calculate the common denominator of b and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 60 = -39 + 224 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*h + 16 = -0*h, 2*s - 2*h - 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 5*w**4\/12 - 2*w**3\/3 - 3*w**2\/2 - 93*w + 1. What is the remainder when 13 is divided by p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.08 + -0.2043636.\nAnswer: -1.2843636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + 3*b - 4*b)*(-6 + 2 + 2) + 6*b + 1 - 1)*(-2*b**2 - 5*b + 5*b).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5325, -10627, -15929, -21231?\nAnswer: -26533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-33))\/(5\/((-120)\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25415280 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2705396 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/5 + (-2)\/10. Let z be (-3)\/c + (-5)\/(-3). Solve -3*b + z = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 78. Let u = 32 - p. Solve m - u = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.05, -4\/3, 1\/11, 0.04?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20578 + 20578 - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -1\/2, 50, 7\/4 in increasing order.\nAnswer: -1\/2, 7\/4, 38, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1977 + 151*j - 1977 - 148*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*y + 6*t + 2388, y + 2*t = 606. Calculate the least common multiple of y and 10.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlvvxvxvxvvxl. Give prob of sequence ll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (-3 - (-15 + 2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/3 - 7*n\/3 - 8\/3 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10096 (base 10) to base 4.\nAnswer: -2131300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 108*k**2 + 370*k + 16499. Determine a(-110).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8537646)\/(-221) + 9\/(765\/10).\nAnswer: 2, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5577 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48082, -48083, -48084, -48085?\nAnswer: -48086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 9*c**2 + 8*c + 7. Let o be b(8). Suppose -o - 8 = -3*j. Let k(u) = j*u - 3*u - 3*u - 3 + 4. Determine k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccfcf. Give prob of picking 1 f and 1 c.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*h**3*x**3 + 1669*h**3 + h*x + 7*h + 187071*x**3 - x + 6 wrt x.\nAnswer: 2142*h**3*x + 1122426*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2159, -8262, -18449, -32732, -51123, -73634, -100277, -131064?\n\"Answer: -2*x**3 - 2030*x**2 + x - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 2566, 8581, 20288, 39583, 68362?\nAnswer: 108521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1282 - 8a49?\nAnswer: -9ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 48.4. Let w = q + 2.5. Let t = 92.6 - 93. Which is the nearest to w? (a) t (b) 1\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-1) - (-3)\/(-3). Sort l, 5, -2 in descending order.\nAnswer: 5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 + 2620*y - 1288*y - 1307*y + (3 - 4 - 1)*(0*y + 0*y - y) to the form w*y + q and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 d when three letters picked without replacement from {k: 1, w: 1, d: 2, e: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 + 139. Is (6\/z)\/(5\/(92460\/8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/(-6 - 539\/(-90)). What is the first derivative of -17 + 135*w + 91 - 8 - m wrt w?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.6, 2, -1.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-255)\/(-20)). Let p = 4.92 + 0.08. Let d = -4.5 + p. What is the second smallest value in u, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 6*p + 2. Let b be f(6). Suppose -h - 5*m + 5 = 0, -2*h + 10*m = 11*m - 1. Solve h = -5*z + 3*z - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -595, -1176, -1985, -3022?\nAnswer: -4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.7 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4912 is divided by 495.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 637 + 640 = 0. Suppose -2*o + 5*y = -28, -3*o + y = 4*y. Let x be (2\/(-3))\/((-10)\/(-15)). Put x, h, o, -5 in ascending order.\nAnswer: -5, x, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*3666035.\nAnswer: -5132449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 14\/39, 43618?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 1, i: 2, m: 1, g: 2, r: 2}. Give prob of picking 1 r and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-36 + 33)*(-22)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.018, -13, -0.1, -2512 in descending order.\nAnswer: -0.018, -0.1, -7, -13, -2512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.33 - 2.05. Let n = -0.28 - z. Let g = n + -2.1036. Round g to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:25 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*y = s - 802*y + 5, -s + 3*y - 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7280 and 21320?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k)**8\/(k**4\/k**(-4)))**(-27) assuming k is positive.\nAnswer: k**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -28 (b) -7 (c) -2\/181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h + 16 = 41*h. Suppose h*i - 5*u = -65, -3*u - 96 = 4*i - 7. Is -19 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(1 - (-4)\/(-5)). Suppose 4*d - d + 15 = 0. What is the closest to 0.1 in 1\/5, o, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 41 + 48637*c + 18.\nAnswer: 48637*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*o + o. Let s be (-64)\/(-78)*o\/12. Let d = s - 267\/26. What is the common denominator of d and -63\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-142)\/30 + -26 + (-660)\/(-25).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322509 and 530323.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**4\/12 - j**3 - 3*j**2\/2 - j. Let v be i(-4). Suppose -v*g = 28 - 93. What is the remainder when 37 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153769386?\nAnswer: 2, 3, 17, 71, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11100014 - 14?\nAnswer: -11100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 7. Suppose -4*q - 23 = -u, 6*u - 27 = x*u + 3*q. Suppose 2*d + 2 = 3*f, -2*d + f + u + 3 = 0. What is the remainder when 13 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*n = -1123, -2*n - 663 - 11 = -3*r. Which is smaller: r or 673\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/1*377*(-4)\/(-10). Let n = r - -803. Let h(o) = -4*o - 3. Calculate the remainder when n is divided by h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/65 and 2064\/(-1560) + 2 + -3 + 3?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let z(q) = q**3 + 6*q**2 + 5*q + 2. Let u be z(-5). Suppose u*b = 5*b. Let n = -4 - b. Give y(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-one halves of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*19*20\/50. Suppose 5*m + 26 = -2*k - 30, -4*m - 5*k = h. What is the common denominator of 6\/2 + ((-4)\/2)\/m and -97\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zddd when four letters picked without replacement from ddddzdzzzzdz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135634014 to the power of 1\/2, to the nearest integer?\nAnswer: 11646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*((sqrt(19) - (sqrt(19) - (sqrt(19) + 1*sqrt(19))))*-5)**2 - (4*sqrt(304) - (sqrt(2299) + 1))**2).\nAnswer: -8078 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744154.\nAnswer: 2, 19, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((530\/901)\/(7\/(14\/4)))\/((-6)\/(-6)).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 + 5 - 5)*(-2 + 2 + 7).\nAnswer: 14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 4*y - 5*l, -4*l = y - 0*l + 1. Let s = y + 24. What is the greatest common factor of 55 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75613966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 13*g**2 + 20*g - 281. What is n(13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3811 + 21035 = 8*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 169*x**2 + 138*x - 494. Differentiate w(d) wrt d.\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5)**17 assuming n is positive.\nAnswer: n**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -4. Let s = 15 - l. Calculate the smallest common multiple of s and (1\/(-3))\/((-10)\/240).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -6\/31, -1, -4, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184649734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81 - 81 + 8*d**2 + (-4 - 5*d - 3*d + 6*d)*(28*d - 6*d + 0*d).\nAnswer: -36*d**2 - 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3666\/(-247) - (-72)\/(-456)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34055 (base 6) in base 16?\nAnswer: -12b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**5*w + 37317456*a**3 - 131381864*a*w wrt a?\nAnswer: -80*a**3*w + 223904736*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020728355 to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8401 - -8406. Solve -c*i = -3*v + 8*v, 0 = v + 2*i + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8430187 + 4?\nAnswer: -8430183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 15*a + 179. Let p be g(-19). Solve 8*b + 63 = p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1150*w - 17354 - 516 = -1152*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46598760 and 199140.\nAnswer: 46598760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/30 - 9*j**4\/8 + j**2 + 445*j. What is r(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 115\nAnswer: -6\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n - 8*n + 3*n + 6*n + 60 in the form k*n + a and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*h + 154 = 0, 19*d + 34*d + 3*h + 3088 = -293 - 391 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 7*t - 4. Suppose -2*y + t*h - 37 = -5*y, 3*h + 12 = 0. Calculate the highest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0237 in 0.2, 0.01, -314, 5, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t + 1. Let k be m(-3). Let d = k - -86. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 589112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) -2 (b) -4 (c) -1 (d) -0.4027\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvmxxmvxmmmmxmmxxxx. What is prob of picking 3 m and 1 v?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17317*b**3*d**3*f**2 - 1709*b**3*d*f**2 - 2*b**3 - 4*b**2*d**2 wrt d.\nAnswer: -103902*b**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273.5096 - 281.51. Let y = d - -8. Round y to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-34)\/m**(-11))\/(m**25)**44)**13 assuming m is positive.\nAnswer: m**(-14599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h)**(-3)\/(((h\/(h*h*h**22*h*h))\/h)\/h*h**(-5)*h) assuming h is positive.\nAnswer: h**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3642, 15588, 35834, 64374, 101202, 146312, 199698, 261354?\n\"Answer: -d**3 + 4156*d**2 - 515*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*c**3 + c**2 - 5*c + 39 wrt c?\nAnswer: -234*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.34734 millilitres in litres?\nAnswer: 0.03134734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -2.11.\nAnswer: -1.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h**2 + 9*h**2 - 6*h**3 + (-2*h + h + 0*h)*(h - h + 2*h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(190)*3 - sqrt(190)*3*5)\/(sqrt(40)*-1 + sqrt(10) + (sqrt(1000) - (sqrt(1000) + 2*sqrt(1000) + sqrt(1000)) - sqrt(1000)) + sqrt(10)))**2.\nAnswer: -1539\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -c + 5, -2*d + 3*d - 5*c = 8. Let k be d\/1 + (-5 - -6). Let y be (-20)\/(-8)*(6 - k). Let v(f) = -2*f**2 + 5*f + 2. Calculate v(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**37\/(i**5\/(i**(2\/9)*i)) assuming i is positive.\nAnswer: i**(428\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*2*6 + (sqrt(3600) - sqrt(3600)*2*-3))\/(-6*sqrt(1728)*-1*-5).\nAnswer: -19*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 2784617.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 5*o**2 - 2*o - 4. Let p be n(-5). Let u be (-30)\/(-9)*9\/p. Suppose 5*k - u*w = k + 52, -4*k = 3*w - 20. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 + 3*k. Let a be r(3). Suppose 9 = 3*y - a*y. Solve -2*t - 10 = y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*7\/(-42)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093059511 to 6 dps.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13708*p**3*y - 1693*p**2*y - 2*p**2 wrt p?\nAnswer: -82248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*d**3*i + d**3*t - 7*d**3 - 9*d**2*i + 22*d*t wrt d?\nAnswer: -402*i + 6*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 127. Let o = x - -58. Is (-1 + (-2241)\/(-6))\/(o\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -19992 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100000 + 111010011?\nAnswer: 111111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*m + 77*m + 373*m + 297*m + 496*m.\nAnswer: 1604*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 m when four letters picked without replacement from mnmnnnn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 698133011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117262, 940784, 3176058, 7528960, 14705366?\nAnswer: 25411152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4609*i - 783529. Give m(170).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 4 - 2*x**2 + x**2 + 6*x**2. Let n(z) = 5*z**2 + 1. Let m be n(1). Let i be ((-2)\/m)\/(1\/15). Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 450171?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 a factor of 72425800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2479 + 2700. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -173984, -695881, -1565704, -2783447, -4349104, -6262669, -8524136?\n\"Answer: a**3 - 173969*a**2 + 3*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**3 - 9*f**2 + 1571*f + 15. Let g(y) = 24*y**3 - 18*y**2 + 3141*y + 35. Let c(o) = -3*g(o) + 7*h(o). Find the second derivative of c(d) wrt d.\nAnswer: 30*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9401.7 - 9470.267. Let f = -30.54 - m. Let b = -38 + f. Round b to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 11, -3 in decreasing order.\nAnswer: 11, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/37)*p)\/p)\/p*p*p\/(p*p\/p**(-10)*p)*p)\/((p*p\/(p*p\/(p\/(p*p**(4\/3)*p)))*p)\/(p*(p*p*p*p**(1\/3)*p*p*p)\/p*p)) assuming p is positive.\nAnswer: p**(-253\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/5)*i)*i)**(31\/2)*i\/((i*i*i*(i**(-5)\/i*i)\/i*i)\/i)*(i\/(i**(-1\/3)\/i))\/i)**(-2\/85) assuming i is positive.\nAnswer: i**(-439\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 89. Suppose 34 = m*s - 4*s. Factor -5\/4*q**s + 3\/4*q**3 - 1\/4*q**5 + 1\/4*q**4 + 1\/2*q + 0.\nAnswer: -q*(q - 1)**3*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1, 7 in decreasing order.\nAnswer: 7, 3\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112558, 112553, 112546, 112537?\nAnswer: 112526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6038979 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 218037419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*p - 4680, p + 9336 = 2*u - 3*p. Suppose -244*c + 236*c = -u. List the prime factors of c.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 less than 66.53?\nAnswer: 65.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 173355700 to the nearest one million.\nAnswer: 173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/117 - 82\/26. Suppose 0 = -2*g - 2, -14 = 3*t + t - 2*g. Let w = n - t. Solve -z = -2*z + w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -0.0693446?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -320.139901 rounded to one decimal place?\nAnswer: -320.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 532 - 528. Let 20*y**2 - 9*y**4 + 16*y**3 - 2*y**5 - 5*y**4 - 6*y**4 + 9*y + k*y**5 - 27*y = 0. What is y?\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4292*q - 5497*q = 138575 for q.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011001110 (base 2) to base 11.\nAnswer: 9854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 7:19 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w = 81*w - 78 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-4 + -2 + 6. Suppose 4*r - r = f. Suppose r = -4*v + 29 + 39. Calculate the remainder when v is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p**3 + 13212020*p**2 + 4404005*p = 0. What is p?\nAnswer: -880801, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5211.4628 + 2\nAnswer: -5209.4628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c - 9*c + 21 = 0. Solve c*o = 2*p + 6*o - 1, -o = -3*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 21 = 2*m, 0*m + m = -3*u - 6. Suppose -m*x + 1 + 5 = 0. Find the third derivative of -5*b**2 - 3*b**3 + 10*b**x - 3*b**2 wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 364700 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 9*x + 54. Determine g(9).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*56\/(29512\/(-93))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 54007*p**2 - 1458324016*p - 2916864064.\nAnswer: -(p - 54008)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109936 - 4033?\nAnswer: 105903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/38 in -2\/5, -2, 4\/5, 3, -0.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**4*x**(-4)*x*x*x**6 assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 6. Let d be a(-5). What is the common denominator of 89\/10 + d\/1 and (-16)\/7 - 0 - 0?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**(-2\/3))\/(x\/(x\/((x**0*x)\/x))*x)**45 assuming x is positive.\nAnswer: x**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 512*y**4\/3 + 11046464*y**3\/3 + 34515394*y**2\/3 + 4184974*y\/3 + 43144 = 0. What is y?\nAnswer: -21572, -3, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.402, -8, -11, 4\/5, -0.2 in decreasing order.\nAnswer: 4\/5, -0.2, -0.402, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**3*c*c*c*c**(-6))\/((c**6\/c)\/((c**4\/c)\/c)) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 14*r**2 - 14*r - 12. Let a be p(15). Let 671*l**4 + 5*l**2 + 15*l - 3*l**a - 14*l**2 - 668*l**4 - 6 = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-220)\/(-120))\/((-20)\/90))\/(3\/(-12)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 80. Suppose -i + 6*i - f = 0. Suppose -5*v = i*j - 15, -3*v + 15 = j - 0*j. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2152\/5 + -432. Let k = f + 47\/20. What is the nearest to -13 in -5, k, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a04429 (base 12) in base 4?\nAnswer: -21201111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u + 9. Let s(l) = 2*l**2 - 2*l - 1. What is the remainder when s(-3) is divided by (-2)\/u + (-22)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, 5, 2, 934 in increasing order.\nAnswer: 0.22, 2, 5, 934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*z - 538 = 0, 9*y = -3*y - z + 1254. Calculate the highest common factor of 1261 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143880?\nAnswer: 2, 3, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (35 + 8 + -57 - (-2 - -35))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/60*f**5 + 1\/120*f**6 + 0*f**7 - 11\/48*f**8 - f**2 - 25 + 9*f**3 + 0*f**4 + 0*f. Find the third derivative of m(t) wrt t.\nAnswer: -4620*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8284.7 or -4?\nAnswer: 8284.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let a = m - -4. Let x = 13 - a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) 1\/4 (c) -0.6 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*s**4 - 269*s**2 + 269*s**2 + (4*s - 5*s - 9*s)*(0 + 4 - 2)*(2*s**3 - s**3 + s**3).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3106*n**3 - 7*n**2 - 7*n + 1. Suppose 4*o = 5*l + 21, 3*l + 18 = 2*o + 5. Is r(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, j: 1, d: 2, i: 4, x: 1}. Give prob of picking 2 j and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3216, 3220, 3224, 3228?\n\"Answer: 4*o + 3212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135156549 by -700293.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q - 231. What is x(28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.996 and -0.3.\nAnswer: -4.4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/14)\/(((-170)\/(-140))\/17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77.9 - -78. Let n = 2.8 - 3. What is the nearest to d in -0.3, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 4*d**2 + 21*d - 100. Determine z(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.8 + 4.5. Let r = 8 + -8.3. Let d = 3.7 - r. Which is the nearest to 0? (a) d (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2841*g = -2840*g - 53, -r = -5*g + 9 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.04, 3, 5, -1\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/3 + 142*k**3\/3 + 760*k**2 - 5283*k. What is o in z(o) = 0?\nAnswer: -5, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -11 + 294791 + -52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 40\/3 + 10*u**4 - 118\/3*u**3 - 48*u + 194\/3*u**2 - 2\/3*u**5 = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to -2724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*y = -148 + 150, -5*y - 5 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 551965.\nAnswer: 2\/551965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42166355 + -71384?\nAnswer: -42237739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 612. Let s(t) = t**2. Give n(s(o)).\nAnswer: -2*o**2 - 612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-13))\/(2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in seconds?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*(3*a - 5*a + 0*a + (2*a - 5 + 5)*(-6 + 4 + 4)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1842448 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m**3 + 4*m - 32. Let g = -26 - -20. What is the units digit of k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(2448))*-5)**2*-1.\nAnswer: -2204100 - 21600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9286*l + 46434. Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348*n**6 - 34*n**2 - 99*n**2 - 23*n**2 wrt n.\nAnswer: 41760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {e: 1, b: 1, y: 2, r: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 5*t**2 + 26*t - 94. Does 42 divide i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 1646*z**2 + 2709316*z - 4459534136\/3.\nAnswer: (z - 1646)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n - 3*w, 3*n - 7 = 4*w - 3. Suppose l - 4*l + 3 = n. List the prime factors of 1 + -2*(l + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 1\/3*o**3 + 0*o + 2 + 1\/2*o**2 - o**4. Suppose -8*r = 60*r + 68. Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 649, 2748, 6257, 11182, 17529, 25304, 34513?\n\"Answer: n**3 + 699*n**2 - 5*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, -807, -1850, -2877, -3882, -4859, -5802, -6705?\nAnswer: -7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + 2 - -2)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 16.9. Let m = r + -1. Which is the closest to m? (a) -4 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/77 and -59\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 107*a. What is f(-36)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 13133?\nAnswer: -13144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -q + 9*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let m(p) = -115468*p**2. Give m(z(y)).\nAnswer: -461872*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 12*v - 15. Suppose 4*k + 36 = 2*o, -4*o + 3*k + 52 = -0*o. What is the units digit of p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4 = 19. Suppose -3*d = -4*f + 5, 6*d - 4*d = m*f - 4. Is 9 a factor of (-2)\/f + (4 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1939 + 3704. What are the prime factors of q?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -186, -485, -928, -1521, -2270, -3181, -4260?\n\"Answer: -c**3 - 63*c**2 + 35*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/6 + 4\/(-84)*91\/26. Which is the closest to p? (a) 41 (b) -11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*k + 47. Let s be 0 + (-7)\/(-2) + (-5)\/k. Let g(w) = w**2 - 6*w + 13. Let h be g(s). Sort h, -2\/9, 0.5, -2\/15.\nAnswer: -2\/9, -2\/15, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -47. Let n = b + 19. Suppose 0 = 6*h - 3*h - n. Solve h*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20870092*j**2*s - j*s - 13101730*s wrt j?\nAnswer: -41740184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010314 rounded to 4 dps?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 14 + 11. Let u(v) = -2*v**2. Let j(t) = -3*t**2. Let g(h) = z*j(h) + 8*u(h). Let c(d) = -3*d**2. What is g(c(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 10*d**2 - 40*d - 66. What is the derivative of c(h) wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y + 753. Let l be v(-58). Let a(d) = -13*d**3 - 2*d**2 - d. Calculate a(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y + 1. Let s(z) = z**2 + 15*z - 13. Let g be s(-16). Determine r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyxxxlxyxllllyll. Give prob of picking 1 x and 3 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 69334 = 4*a - 198670, -2*a = 4*y - 133974. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmrhgrhh. Give prob of sequence gg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 180\/(-108)*(-2 - 1). What is the nearest to 2 in 2, -18, -2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47210000 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -55. Let j = 48 + -74. Let y = j - -30. Calculate the least common multiple of t and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1914*f + 1896*f + 761058. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1183 (b) -1 (c) 0.08 (d) 0 (e) 1\/12 (f) -0.2 (g) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4 - 322124*n**3 - 17062616*n**2 - 102966784*n + 3626016768 = 0.\nAnswer: -80478, -32, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11466 bigger than 11498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34025?\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 1. Give k(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 2848322368.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:15 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = s + 5*r, -2*s - 8 = r + 6. Which is the biggest value? (a) -5\/4 (b) -7 (c) s (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-4))\/(558\/(-186))*-4*14\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2525132 and -11\/1662?\nAnswer: 7575396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376759 is divided by 13954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*a - 1452 = -2*o + 380*a, -5*o + a + 3630 = 0. What is the remainder when o is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 10*g = 105, -5*k - 71 = 2*g - 152 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1762.461011259 + 1768.380577. Let j = n - -37.080434449. Let a = 43 - j. What is a rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 2*f, f + 7 = 3*l - 0. Calculate the lowest common multiple of -9*14\/(-6)*(63 - 49) and l.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 72 + 4 = 4*d, 4*d + 4*g = 84. Suppose -d = 2*w - 2*l, 4*w + 3*l + 26 = -14. Let k be (-72)\/(-33) + w\/55. Solve 13 = 3*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 4317.\nAnswer: -4317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52345*i**2 - 55779*i?\nAnswer: -104690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -8*v + 648. Suppose 2*x + x = 4*u + v, 0 = -5*x - 3*u + 195. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 8) to base 9.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**4 - 644457720*b**3 + 25957860198682612*b**2 - 51915718463992080*b + 25957858909767184 = 0.\nAnswer: 1, 80557214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s**2 - 41 - 38 + 158 - 82.\nAnswer: -36*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1 + 3 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 8*z + 63. Suppose -2*q + 3 = -z. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -721470*g**2*n - 8*g*n - 49*g - 2*n + 3 wrt g?\nAnswer: -1442940*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 + 35*p**2 - 22*p. Calculate a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*c + 3*c**2 - 47*c + 408*c**3 - c**2 + 407*c**3 - 810*c**3 to k + s*c + v*c**2 + b*c**3 and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531819 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138958 and 1072?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 519289 divided by 172?\nAnswer: 519289\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 3643*o - 3651*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 71. Calculate w(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Let y be f(-3). Suppose 2 = 2*g - 2*c, -5 = -g + 6*c - y*c. Let k = 1 + -3. Put k, 0, g in descending order.\nAnswer: 0, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (6 - 3)) + (-12 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 5*r**2 + 8*r. Let d(b) = -b**3 + 4*b**2 - 7*b. Suppose k - x = -k + 15, -5*k + 15 = 5*x. Determine k*d(i) + 5*q(i).\nAnswer: -i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.54 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 + -4a9?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 3*h + 89. Let b be 12 + (2\/1)\/(-2). Let l = b - h. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/22512 and 97\/168.\nAnswer: 22512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 179 - 189 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 - 318 - (1 + 34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1674513 by -62019.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -5 + 1\/10*z**5 + 1\/6*z**3 - 7*z + 0*z**4 - 2*z**2. Let y(q) = -q**2 - q + 1. Let m = -1 + 0. Give m*y(t) - i(t).\nAnswer: -2*t**3 + t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b27 (base 15) in base 16?\nAnswer: 9d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33443 + 4776*v - 4767*v + 33443.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11555244 (base 6) in base 5?\nAnswer: -43420012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -481\/12 + 40. Let f = -30.02 - -0.02. Let j = -29 - f. Is w != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -101196, 0.1, -151?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000315106814 rounded to 7 dps?\nAnswer: 0.0003151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 143874 and 0.181.\nAnswer: 143874.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.6 times 672?\nAnswer: -27955.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1412270*b**2 + b - b + 144550*b**2.\nAnswer: 1556820*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17*b**2. Let c(w) = -7*w - 14*w + 22*w. Let s(d) = -2*d**2 - 6*d. Let g(h) = -6*c(h) - s(h). Determine g(y(q)).\nAnswer: 578*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.380874 meters?\nAnswer: 4380874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 + 95*i - 620. Calculate p(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516*b + 9031*b**3 - 9029*b**3 + 516*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-85 - (-5 + 3)). Let v = -3463\/830 - r. Let k = -377\/14 + 1324\/35. Calculate the common denominator of k and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -26*t**3 - 1715*t**2 + 66*t - 47. Calculate b(-66).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r*r**(-3))\/((r\/r**1)\/(r**2\/r*r*r))*(r*(r\/r**(-2\/3))\/r)**(-1\/62)*r*r*r*r**(-2)*r**(2\/3) assuming r is positive.\nAnswer: r**(1607\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30599 + 54240. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/20 and -111\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -104557, -104541, -104535, -104545, -104577, -104637?\n\"Answer: -a**3 + a**2 + 20*a - 104577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88.5 - 88. Sort -0.1, s, -6, -4 in decreasing order.\nAnswer: s, -0.1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-4 + (-1 - -4)). Factor c*i**3 - 14*i**3 - 2 - 2 + 4*i + 4*i**2 + 6*i**3.\nAnswer: -4*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 399*h + 168. Give r(80).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuuu when four letters picked without replacement from uuvu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 5\/3634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (9 - 8112\/143)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27873746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.805 + 0.405. What is the closest to -1 in -2\/13, -74, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:25 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((0 - 1) + 1). Suppose 22*y - 230 - 3708 = 0. Suppose 0 = -4*v + d*n + y + 455, -4*v + 646 = n. What are the prime factors of v?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(975)*-2 + sqrt(975)))\/(sqrt(72)\/sqrt(6) - (sqrt(972) - sqrt(3))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxyy when four letters picked without replacement from {x: 7, w: 4, y: 2}.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1634, -15, -360 in descending order.\nAnswer: -15, -360, -1634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 679605 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191.075 - 191.07396297. What is v rounded to 5 dps?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*f**3\/4 + f**2\/4 - 25*f - 1.\nAnswer: (f - 2)*(f + 2)*(25*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/13)\/((-132)\/(-24) - 7). Let l = 2 - 1.5. Let x = -14.26 + 14.86. Put x, 0.3, l, z in descending order.\nAnswer: x, l, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 438a?\nAnswer: -438a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 divided by 6.\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5738\/2765 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2809.03965 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 - 36*d**3 + 53*d**3.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azv when three letters picked without replacement from {j: 1, z: 4, e: 1, v: 3, a: 4}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -0. Suppose -4*j + o = 9, 5*o - 7 = j - 0*j. Let u be (g - j)*(7 - 12). Which is the third biggest value? (a) u (b) 2\/9 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose -2*n + b*n - 2 = -2*t, -8 = -5*t + 4*n. What is the common denominator of t*(-2)\/8*13 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/(-101))\/(1\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((5\/50)\/((-1)\/4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159135 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 2. Let t(l) = 11*l - 5. Let d be 1\/6 + (-942)\/36. Let j be d\/(-3) - 3\/(-9). Give j*v(f) + 4*t(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/1 - (-2)\/2. Let j = -9410 - -9405. Which is the nearest to 1\/4? (a) x (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.875575399 - -14?\nAnswer: 23.875575399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c + 4*t - 24 = 5*t - 111, -2*t = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufkfkkkkfkkfkkbku. Give prob of sequence kbu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 less than -34579?\nAnswer: -34146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 409, -5, 228 in increasing order.\nAnswer: -5, 228, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*c**3 + 502*c**2 - 1001*c**2 + 499*c**2.\nAnswer: 98*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2516970249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/5, -10, -5, -1\/2, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94\/545 - 3\/109. Let o = -91 - -1731\/19. Which is the third smallest value? (a) o (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 918 and 1700.\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 126224257?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -18883.16573.\nAnswer: 18877.16573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - b + 6*b = 37, 3*u + 3*b - 24 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/14 - ((-975)\/70)\/(-15). Let l = 3 + -2.5. Suppose -14*a - 24 = 4. What is the closest to i in a, l, 3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 638794, 638795, 638796, 638797, 638798?\n\"Answer: y + 638793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/7 + (-2 - 0). Let w = -6\/23 + 7\/115. Which is the nearest to w? (a) 0 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**3 + 131736*f**2 - 526980*f + 526992 = 0.\nAnswer: -43916, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -18*y + 402. Determine w(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/5847 + 81853\/29235. What is the closest to -1 in n, 4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*t - 19 = 0, 2*h - 3*t - 7 - 12 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chcuk. Give prob of sequence ucc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 31691889?\nAnswer: 9507566.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(77)*2)\/(-1*sqrt(176)).\nAnswer: -5 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.205 - -0.105. What is the nearest to q in 2, 0.06, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyjjwowjjjwyyjjrjjy. Give prob of picking 2 j and 1 w.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 6 in ascending order.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 666 - 189. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-44)*16\/(-6). Let w be (2 - (-4)\/p)*(-4 + 5). Solve -10 = -w*v - 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-45) + -4*(0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**2 - 1027195248*z + 1027195252 = 0?\nAnswer: -256798813, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -24. Is (z + 0)*(-436 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244640611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 6*z - 4*z)*(z + 1 - 1 + 3*z - z - z + (-2 + 2 - z)*(2 + 1 - 5)).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3830379 and -0.15.\nAnswer: 574556.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -6*h - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 137\/2. Calculate the common denominator of -29\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(6522 - 4172*m + 6517 - 13039).\nAnswer: 12516*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 12:41 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 3*g + 19*g**2 + 4*g to n*g**2 + b*g + i and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -11 (c) 2 (d) 11 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020 + 10102010?\nAnswer: 10021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310372889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1054 - 549 + 686)*(2*t**2 - 3*t**2 + 2*t**2)*(3 + 1 - 5) as k*t**2 + c*t + n and give k.\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.7 + -44154012.246?\nAnswer: -44154129.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 3, -5, 6, -254, -1 in increasing order.\nAnswer: -254, -7, -5, -2, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/1200 + c**5\/600 + 41*c**2. Suppose a(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b - 1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 65\/15)\/(1\/3). Is -4 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 80598624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 60*z - 674. Determine t(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007927 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4 - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/29? (a) -8 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*1575\/(-567))\/(3\/(-1))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21803 is divided by 660.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 and -34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -51, -6, 672?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*k = 1728 - 6320 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121111 + -11?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 192317028 to the power of 1\/2, to the nearest integer?\nAnswer: 13868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7398227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 1. Let h be q(5). Suppose -5*u + 5*a + 0*a = -95, h*a = u - 25. Calculate the remainder when 32 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzsyi. Give prob of sequence zhy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018826 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 14. Let f be q(-11). Suppose -12 = -f*y - g, -2*y + 0*y + 25 = -5*g. Suppose 0*m - y*m = -140. What is the highest common divisor of m and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-31)\/n)\/n)\/(((n\/(n**(2\/49)\/n))\/n)\/n))\/(n\/(n**(-2\/29)*n))**(-5\/2) assuming n is positive.\nAnswer: n**(-46590\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (-2*sqrt(190)*3 + sqrt(190) - sqrt(190)) + sqrt(190))\/((sqrt(120)\/sqrt(3) - sqrt(40)) + sqrt(10)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9660288 divided by 36592.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 37*f**2 - 34*f - 53. Let x(l) = -13*l**2 + 12*l + 19. What is -6*n(d) - 17*x(d)?\nAnswer: -d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -250 - 6*p + 242 - 2*p. Let q(j) = 2*j - 1. Let y(g) = 2*q(g) + w(g). Determine y(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, y: 1, r: 5, b: 1, n: 3, t: 3}. Give prob of sequence yk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8*u - 5. Let j be (-24)\/(1*-2)*u. Let f = j + 24. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 10, h: 1, f: 1, m: 4}. What is prob of picking 1 f and 1 m?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) -0.2 (c) 336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4962618033 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 6. Let l = 184 - 365. Let g = -180 - l. Calculate the smallest common multiple of g and z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 - 5*a - 16. Give d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahozhx. What is prob of sequence oz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 26 - 33*y)*(-3*y**2 + 2 - 2) + 2*y + y**3 - 2*y in the form u*y + g*y**3 + q*y**2 + d and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(360) + sqrt(360)*2 + sqrt(360))\/sqrt(12) + sqrt(30))\/(-5*sqrt(90)))*2)**2.\nAnswer: 32*sqrt(3)\/3 + 196\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -47567758 divided by -7\nAnswer: 6795394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 24. Calculate the remainder when 37 is divided by d(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from nppppnpppnp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3710800383 minus 9826?\nAnswer: 3710790557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2\/2 + 20*y + 2013. What is i(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:52 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16472 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.08 + 0.08. What is the fourth smallest value in 1\/2, -4, -0.4, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12\/5, -4, -0.6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 5 = 6*l - m, -l = -4*m - 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -300\/13649 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 197331334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3\/681239 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -34, -45, -56, -67?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*5*(sqrt(170) + -3*sqrt(170)))\/(sqrt(490) + (sqrt(490)*2*-1 - sqrt(490)))*-5)**2.\nAnswer: 300*sqrt(17)\/7 + 382549\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 + 348*d - 10092 = 0.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15633564 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/180 and 99\/73733680.\nAnswer: 663603120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 - l**3 - 2 + 4*l - 3*l - 6*l. Let m be k(-4). Let r be ((m\/19)\/5)\/2. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*v, -2*v + 326*r - 324*r = -12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 38 = -7. Let z(y) = -y**3 + 11*y**2 - 7*y + 1. Let q be z(u). Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2707 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 3*l**2 - 3*l + 15. Let a be n(9). Let k = -468 - a. Solve 8*o - 14*o = k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -3, -23 in descending order.\nAnswer: 4, -3, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/97274600 and -143\/364779750.\nAnswer: 1459119000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14667*j**2 - 12174*j - 2493.\nAnswer: 3*(j - 1)*(4889*j + 831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325007.11 + -324969.10999911. Let i = q + -38. What is i rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let z(h) = 131*h**2 + 4*h + 252. Let o(m) = 33*m**2 + m + 56. Let f(l) = -9*o(l) + 2*z(l). Calculate f(y(r)).\nAnswer: -35*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-168)*(0 - (-6 + 0)). Suppose 0 = -3*c - 2*l - 11, 14 = -2*c - 3*l - 0*l. What is the closest to i in 2\/5, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19309*r**4 - 5*r**3 - 4*r**2 - 27616284*r.\nAnswer: 231708*r**2 - 30*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -15, -1\/5, 0.3, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = 4. Let h be 4\/(z\/3) + -2. Solve -2*x = h*n, x = -2*x + 2*n - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206876600 to the nearest one hundred thousand.\nAnswer: -206900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 43. Let b be g\/11 - (-2)\/((-2068)\/254). Let y = -14\/517 + b. What is the second biggest value in y, -2\/15, -0.3, -5\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3935210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(0 - 1). Suppose 0 = -2*f + f + 4. What is the closest to d in f, 0.3, -0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1629998*z + 815418*z + 815603*z.\nAnswer: 1023*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 45*d. Let v(k) = k + 4612. Calculate w(v(u)).\nAnswer: 45*u + 207540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*1)\/(sqrt(10)*2*-3) + -4.\nAnswer: -4 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 47576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 4*t. Let u(j) = -7*j**2 - 8*j. Let k(p) = 5*q(p) + 3*u(p). Let m be k(-3). Suppose m*z - 3 - 6 = 0. Solve -z*r - 8 = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -390, -427, -480, -555, -658?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-492) + 203\/110577*9\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -2*b - 2*r, -4 = 4*b - 3*r. List the prime factors of (3 - 1) + (3 - b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/8 - 169*t**3\/4 - 5775*t**2\/2 - 56007*t.\nAnswer: -t*(t + 42)**2*(t + 254)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4087538 - 39287?\nAnswer: -4126825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**3\/3 + q**2 + q + 2. Let w(m) = -3*m**2 + 4*m + 0*m - 18 + 19. Determine 5*p(t) - 3*w(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -256 + 522 - x**2 - 17*x - 254 + x**3 + 18*x. Suppose 0 = 3*a + a. Give t(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6189841, 12379668, 18569495?\nAnswer: 24759322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a - 1. Let t be y(-1). Suppose -2*u - 4 - 4 = 0. Does 22 divide (-581)\/u - t\/(96\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(4\/3))\/z*z**(-2\/7)*z\/(z\/(z\/(z*z*z**16*z*z)*z))*z\/(z**15*z) assuming z is positive.\nAnswer: z**(-727\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*j**3*v + 56*j**3 wrt v?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35520 and 142080.\nAnswer: 142080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001471 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsxs when four letters picked without replacement from ssxxxxssss?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*c - 23 = -10, 0 = 2*c - 2. Suppose -2*m - j*b + 32 = 0, -2*b - 142 = -5*m + b. Solve -5*a - k = m, k + 2*k - 2 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(f - 2*f - f + (4 - 5 + 0)*(-2*f + 5*f - 2*f) - 3*f + 3*f - 2*f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65.6 - -65.5. Suppose 18*l - 4 = 22*l. Let i = 0.14 + -7.14. Which is the third smallest value? (a) l (b) i (c) z (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -1 + -25 + (-21 - -55)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isepw. What is prob of sequence sw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50241, 49198, 47449, 44988, 41809, 37906, 33273, 27904?\n\"Answer: -f**3 - 347*f**2 + 5*f + 50584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*l**2*z**3 - 31*l**2*z**2 - 2*l*z**3 + 16*l + 43844*z**3 + 1231*z**2 wrt z?\nAnswer: 240*l**2 - 12*l + 263064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:24 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6*y + y + 30, -x + 18 = 3*y. Sort 0, -2, y.\nAnswer: -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*q**2 + 7442\/3 - 2562*q - 2\/3*q**3.\nAnswer: -2*(q - 61)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, n: 7, q: 2}. Give prob of sequence qq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 11*c**2 + 45*c + 1. Calculate i(-14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**2 - 21*r**2 + r**3 + 72*r**2 - 25*r**2 - 21*r.\nAnswer: r**3 - 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 - 3*c + 1. Let r be (-10 - -1)*(-4)\/(-12). Let y be j(r). Suppose 10*a - 46 = 14. Solve -y = -d + a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -130614.\nAnswer: 1\/65307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-21) + 16\/3. Which is the closest to 0.06? (a) -0.1 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/3 - 16*m**3\/3 + 32*m**2 - 177*m. Let o(s) = 0. Calculate s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434281 and 10544?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 18*o = -5. Let j = 36 + -250\/7. What is the smallest value in j, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 + (-103476 + 6)\/(-15) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9460 by 4730.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -426*r - r**2 - 20 + 426*r as k + s*r + d*r**2 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 + 2*y**3)*(0 + 33 - 28).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -233 + 236 - 57*g + 126*g + 156*g to the form c*g + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(44)\/(sqrt(256)*1) + ((sqrt(11)*1 + -5)**2 - (sqrt(55)\/sqrt(5)*-5)**2) + 5.\nAnswer: -229 - 79*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 + 4*r + 3. Let l = 12 + -17. Let t be y(l). Suppose t*o = 13*o - 100. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 4, v: 4, t: 6}. What is prob of sequence hvb?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 4, c: 2, b: 3, l: 1}. Give prob of sequence ld.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x + 6*x - 608759*x**4 - 5*x**3 + 608783*x**4 + 10*x to r*x**4 + b*x**2 + v*x + j*x**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12599?\nAnswer: 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -659*n**3 + 11*n**2 + 36*n + 15. Let a(t) = -4*t**3 - t**2 - 2*t + 3. Let h(g) = -5*a(g) + v(g). Find the third derivative of h(s) wrt s.\nAnswer: -3834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*34\/(-8)*1370\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8561?\nAnswer: 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6376)\/13549 + 349\/(-17)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:09 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 754067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/((-2541)\/(-132)) + (-5 - (0 + -1)). Suppose -3*w = -w + 8. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*v)*(5 - 9*v + 11*v**2 + 14*v + 15*v**2) to h*v**3 + z*v + k*v**2 + m and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/7, -1\/3, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11686 at least as big as -11581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 87.7. Let b = g - -87.958. Let x = 0.042 + b. What is the second biggest value in 9, x, -5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152048 and 17272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1033\/(-4)*(-204)\/51 + -4. What is the greatest common factor of y and 588?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.27943 days in milliseconds?\nAnswer: 2184142752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = w + 6 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(15)\/sqrt(5)*1 - (sqrt(300) + 1)**2 - ((sqrt(75)*2)**2 + -5)) + 4).\nAnswer: -1184 - 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide ((1\/(-2))\/(-1))\/(2\/34108) - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -3*s. Suppose -8*a + s*a = 0. Suppose a = u + q - 113, q - 265 = -3*u + 78. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(720) + 1))**2.\nAnswer: 96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 671840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1318180*v - 19 + 1318177*v + 5 + 6.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 4*u**2 + u - 7. What are the prime factors of i(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/114 and -11\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -93. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 205 = 98*i. Which is the fourth smallest value? (a) i (b) -4 (c) -129 (d) -4\/9 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 522*z**3 + 431*z**3 + 3*z**2.\nAnswer: 953*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 16*v - 14*v - v**2. What is the units digit of l(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from wewwwwwewwwwwewwww?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -532*h**3*l**2 + 15020*h**2*l**2 + 4*l**2 + l - 2141693 wrt h?\nAnswer: -1596*h**2*l**2 + 30040*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.06*370.8\nAnswer: 393.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6201 + 6194. Sort -53, -5, 4, w.\nAnswer: -53, w, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18263, 21 in increasing order.\nAnswer: -1, 21, 18263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -3261\/40?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 - 328.7. Which is smaller: 10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42027, -42031, -42045, -42075, -42127, -42207, -42321, -42475?\n\"Answer: -w**3 + w**2 - 42027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769024178.\nAnswer: 2, 13, 29577853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138840353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkdvbvkrrkrklrrkrrr. Give prob of sequence bk.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3)\/(-4)*-4. Suppose -22 - n = -5*o. Suppose -2*p + 900005 = p - k, 1500020 = o*p - 4*k. What is p rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -10 + 5 + 6 + -4 + -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:03 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 7*y - 0*y. Let n(h) = h**2 - 8*h - 23. Let z be n(y). Let d be 3 + z\/4 + 10\/4. Solve -18 = d*p + 5*i, i - 21 = -p + 6*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48737*z**6 - 2*z**4 - 405*z**3 - 80967*z**2 - 1903*z wrt z.\nAnswer: -5848440*z**3 - 48*z - 2430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -756, 7, 0, 21\/5.\nAnswer: -756, 0, 21\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*a + 28. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, -12, 5.\nAnswer: -12, -2, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 487973.\nAnswer: 487977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 624688.\nAnswer: 2498752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33629963 or -33629962?\nAnswer: -33629963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6*(16 + 4). Let s = 16 - k. Do s and 6 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225 or 232?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9512*c**3 + 12321*c**2 + 9552*c**3 - 12321*c**2.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*z - 18, -z - 1 + 3 = v. Let c(r) = -r**2 - 8*r + 12. Let w be c(-9). Suppose -w*t = 2*t - 15. Calculate the remainder when z is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31264.83 milligrams to grams.\nAnswer: 31.26483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 + 19*j**2 - 134*j + 29. Give f(7).\nAnswer: -1693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1 - (-306)\/(-51)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 10:46 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17663, -17685, -17707, -17729, -17751, -17773?\n\"Answer: -22*j - 17641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*-6*(-6*sqrt(544)*-1)\/(sqrt(2) + sqrt(10)\/(-2*sqrt(5) - sqrt(5)) + sqrt(2) - (-1*sqrt(18))\/sqrt(9)).\nAnswer: -972*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*t = 66, s = 4*s + t - 85. Suppose 0 = -5*i - 3*d + 1145, -31*i = -s*i + 3*d - 449. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2735, -2733, -2729, -2723, -2715, -2705?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**4\/12 + h**3\/2 + 10*h**2. Calculate z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m + 25. Let j(f) = -49*f. Suppose 2 = 5*d + 7. What is the remainder when j(d) is divided by h(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -423 (b) -3 (c) -1813 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 10 = -2*u. Suppose z - 4*a = -3, -a = -2*z + 2*a + 4. Suppose -4*t = 2*i - z*i + 10, 2*t - 2 = -2*i. Solve -u*v + 9 = -i*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55\/(-10) - -4)\/((-24)\/(-32) - 0). What is the closest to 102 in -2\/3, -4, h, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 947316 and 3649?\nAnswer: 38839956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6464)\/303*(9\/4)\/((-3)\/(-2))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -27, -22, -15, -6, 5?\n\"Answer: v**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 60918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 + 14*g**2 - 2*g + 1. Suppose -24*q - 760 = -32*q. Calculate the remainder when q is divided by u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 5767*g**5 + 6 + 13004*g**5 + g**5 - 1 + 1 + (-3*g**2 + 6*g**2 - 4*g**2)*(-g**3 - g + g).\nAnswer: 7239*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (2\/(-8) - (-1)\/4). Let v(l) = -11*l. What is v(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29\/4*(-1 - -5). Let u = 31 - k. Suppose -4*g + r - 9 - 8 = 0, u*g + 31 = 5*r. Put -2\/9, 20, g in descending order.\nAnswer: 20, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1300) + 1 - sqrt(1300)) + sqrt(1300)))**2.\nAnswer: 720*sqrt(13) + 46836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*l**2 + 80*l**2 + 80*l**2 + (2*l - 3*l - l)*(1 - 1 + 3*l) - 4 - 2*l**2 + 4 - 2*l**2 + l - l + (-1 - 2 + 5)*(-4*l**2 + 4*l**2 - 2*l**2).\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58800\/(-770))\/(-70))\/((-12)\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40935, 41106, 41265, 41406, 41523, 41610, 41661, 41670?\nAnswer: 41631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2143116 - -0.2.\nAnswer: 2143116.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210001 + -12?\nAnswer: 1202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 10*m + 2. Let a be p(5). Suppose 149657 + 70338 = -a*o + r, 2*o + 5*r = -220025. Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2378739\/(-4757475) + 6\/12). What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171319877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 divided by 4?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/100 and 77\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8995*h**2*o + 1203*h**2 + 2*h*o + 3775*o + 211 wrt h.\nAnswer: -17990*o + 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35049 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i, -4*r = -i + 30160 - 152027. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 319879262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*x - 9, 3*x - 5*x - 2*z = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21906790 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gusggrnngrgr. Give prob of sequence gr.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 6*l**2 - 9*l**2 to s*l**2 + v*l + q and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + i - 1 = 0, 7 - 12 = 5*r - 2*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 minus -93489451?\nAnswer: 93489415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -5 + (sqrt(468)*-1 - sqrt(468)) + (sqrt(468) - (sqrt(468)*-2 + 0)))*-4*2*5)**2.\nAnswer: -172800*sqrt(13) + 878400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(847) + -3 + sqrt(847) + sqrt(847)*-2 + -5 + 6*(sqrt(847) - (-2 + sqrt(847))))*-5)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - s = u + 27, -3*u - 2*s + 86 = 0. Suppose u*g - 36 = 76. Solve g - 8 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -62*r + 38. Let p(a) = 31*a - 18. Let c(j) = -4*o(j) - 9*p(j). List the prime factors of c(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 377, 642, 907, 1172, 1437?\n\"Answer: 265*o + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5648 + -3067. Suppose y = 18*u - 1019. What is the remainder when u is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b - 2. Let h be (-6)\/b*7\/2. Suppose h*y + 104 = 11*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*d + 6 + 10 = 0, -2*d = 0. Calculate the greatest common divisor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.91? (a) -2\/7 (b) 3 (c) 0.3 (d) 0.1 (e) 0.085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2787 + 17409 = 1890*w - 594. Factor 7*z - 4\/3 - w*z**3 + 3*z**4 - 17\/3*z**2.\nAnswer: (z - 4)*(z + 1)*(3*z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + -0.22. Let h be 1*(4\/(-26) - 0). Which is the third smallest value? (a) h (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-100) - (-237)\/(-330) - -1. What is the closest to 1 in -1, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*b + 3*b**3 - 17*b - 24*b + 2 + 2*b**3 - 2 + (5*b**2 - 4*b**2 + 0*b**2)*(0*b + 0*b + b) + 3*b**3 - 2*b**3 + b**3.\nAnswer: 8*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 * -11652857\nAnswer: 431155709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102332 - 10?\nAnswer: 102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 22*u**2. Find the common denominator of 22\/3 and s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 45. Let s = 17.49 + -2.49. Let p = y - s. Which is the nearest to -0.1? (a) 1\/3 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnz when three letters picked without replacement from epnvzzp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(934 + 55*u - 934)*(-2*u**2 + 2*u**2 + u**2) as y + g*u + m*u**2 + l*u**3 and give l.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**2 - 3*d + 2. Let l be i(4). Let s = l + -61. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2027619 + 0.1.\nAnswer: -2027618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 * 1.1.\nAnswer: 0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48\/439 + 18464\/233109. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, -2\/7, -1\/8, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 36600000 = -n. Round n to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 9, 4, 0, 1\/6, 105?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -0.13.\nAnswer: 5.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 6. Let b(c) = -c - 32. Let f be b(12). Let k = -46 - f. Let l be t(k). Solve 6 = 4*y - 2*y + s, 3*y - l*s = 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513 and 171.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -2)*8\/(-5). Let c(h) = -h**2 - 11*h - 19. Let s be c(d). Suppose s*o - 4*n - 29 = 0, -5 = 5*o - n - 31. Sort -6, 3, o.\nAnswer: -6, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 531 and (-118)\/((-2)\/12 - (-31)\/(-93))?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 14874*r - 18436323.\nAnswer: -3*(r - 2479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:36 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.87 + -2.8. Let d = 0.17 - b. Which is greater: d or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 135. What is the greatest common divisor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 414678 - 4\/(16\/(-12)). Let d = l + 776674. Round d to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -537 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*t - 53. Suppose 0*c + 4*c - 495984 = -4*u, 3*c = t*u - 620012. What is u rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i - 2. Let d(a) = 5*a + 1. Let b(l) = 5*d(l) + 2*z(l). Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -92*f - 763. Let s be n(-22). What is the highest common divisor of s and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 7*o**2 - o**2)*(-19573*o**2 - 10739*o**2 - 47 - 15 + 66 - 4).\nAnswer: -60624*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7.04685181447 - 9.2\nAnswer: -2.15314818553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 22 = -2*y, -37*y + 106*y - x - 121 = 68 + 706 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*p**3 + 254 - 254 + (24*p - 24*p - 5*p**2)*(-2*p - 4 + 4).\nAnswer: -45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62733*q**2 - 62732*q**2 + 168 - 168.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44309\/630 + 505\/7. What is the common denominator of 79\/378 and l?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*f**2*q**2*y + 42*f**2*q*y**2 - 116*f*y**2 + 20*q**2*y**2 - 2*q*y**2 wrt f?\nAnswer: 744*q**2*y + 84*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26681\/91806 + -5\/1177. Find the common denominator of c and -11\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-3 - 0)) + 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -1 + 1\/(-6). Let p(g) = g**3 + 23*g**2 + 16*g - 136. Let d be p(-22). Let n = -214 - -1924\/9. Which is the nearest to n? (a) q (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 12, -439, 3, -2\/7 in increasing order.\nAnswer: -439, -2\/7, 3, 12, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 1 - 4*b + b)*(-2*b + 4*b - 3*b) - 565 + 565 + 25*b**2.\nAnswer: 27*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 392713 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3521715 - -72?\nAnswer: -3521623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 61 = -22*d. Suppose 2*z - 3 = -3*n - 0, -3*n = z - 6. Let w(y) = -7*y + 3. Let i be w(z). What is the highest common factor of d and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1279235?\nAnswer: -1279235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184931845 - 50702.\nAnswer: 184881143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 207307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 2, -1, -6\/13?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 - 224. What is the remainder when (-15 - 6)\/(p\/(-34)) is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 1)*(3*k + k - 6*k) + 6*k - 10*k - 7*k + 1 + 2*k - 1)*(3*k + 2*k**2 - 3*k) to x*k**2 + i + f*k + w*k**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 20\/(-4) - 5. Which is the nearest to -1? (a) j (b) -2\/5 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 22 = -38. Let i(p) = p**3 + 4*p**2 - 2*p - 2. Let t be i(-4). Let q be t\/l + 22\/4. Solve 2*u + 13 = 4*u - 3*w, -q*w = -2*u + 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 10) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*m**4 - 2*m**3 - 3*m**2 - 722?\nAnswer: -4224*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000351695874 rounded to seven dps?\nAnswer: -0.0000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from uuuaaauauaaa?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.49. Let v = 0.0496 - -0.9504. Which is the second biggest value? (a) 1\/4 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/63 + (-6404)\/990. Let q = 78\/11 + a. Solve 0 + 0*m + 4\/5*m**2 - q*m**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbeebeeeeebee. What is prob of picking 2 e and 1 b?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.6129823 and -4.\nAnswer: -34.4519292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:12 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t + 8. Suppose -4*u + 3*u - 39 = 5*c, t*c = 3*u + 57. Put u, 3, -2\/3, 2 in descending order.\nAnswer: 3, 2, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -237*q + 244?\nAnswer: -237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -24*z + 26*z. Solve -5*k - 25 = 0, 4*l + 2*k = -l - z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*v**3 + 2 - 2 - 2*v**3 + (-4*v**2 + 3*v**2 + 2*v**2)*(0*v + 2*v - v) - 4*v**3 + 5*v**3 + v**3)*(8 - 8 + 3*v).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 33. Let s(x) = -8. Let m(r) = 2*a(r) - 9*s(r). Determine m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -909 + 1063. What is the remainder when a is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(225\/40)*10\/((-320)\/324)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((((w\/(w\/(w\/w**(4\/3))))\/w)\/w)\/w))\/w)\/w*w*w*w\/(w*w*w\/w**(-2\/3)*w)*w**(-10)*w*w**(-1\/11)*w)**(-9\/2))**(2\/13) assuming w is positive.\nAnswer: w**(735\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6205.097 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 29. What is the remainder when -1*-1*29 + (291 - 298) is divided by (-4)\/((f\/(-6))\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8493 is divided by 189.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 551 and 9671?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 - c**2 + c + 1. Calculate y(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -232380 to the nearest 1000.\nAnswer: -232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.85, 4, 0.1, 0.7, 2.07 in ascending order.\nAnswer: 0.1, 0.7, 0.85, 2.07, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1811.\nAnswer: -362.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 35*m**2 + 24*m - 836. Calculate o(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/79, 0.8, -2\/65, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.8, -2\/79, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 11*p**2 + 15. Let y be n(-11). Let j = -5 + y. Suppose 11*q - j*q - 28 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24 - 2)*(-33 - (-2130)\/60). Suppose 0 = -2*z + 82 + 28. What is the highest common factor of o and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 12. Suppose 28*f - 24 = 24*f. What is the least common multiple of h(f) and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(405)\/sqrt(9) + -2 + 4.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -427 (base 8) to base 13\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3927 divided by 51.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -205885.\nAnswer: 617655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 811751299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1304 - 1310. Let v(q) = 4*q**3 + 23*q - 2. Let g(b) = -2*b**3 - 12*b + 1. Calculate u*v(t) - 11*g(t).\nAnswer: -2*t**3 - 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + q - 6, -w - 5*q = 8. Let t = 2 + w. Let f(v) = 4*v - 1. Find the common denominator of f(t) and 8\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. What is the third derivative of 4*d**h + 31*d**3 - 31*d**3 - 6*d**2 wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033*-0.014631.\nAnswer: 0.000482823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43863 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 + -3.35. Let v = 27.95 - z. Let l = 29 - v. Is l > -3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) + (-2)\/10. Solve 2*m - a - 3 = 0, 5*a = m - s - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 23*d - 15. What is the hundreds digit of r(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 3218*u**3 - 1917177*u**2 + 1080771736*u - 112796565904.\nAnswer: -(u - 187)**2*(u + 1796)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57813, 57837, 57895, 58005, 58185?\n\"Answer: 3*r**3 - r**2 + 6*r + 57805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h + 1304. Let m = -174 - h. Suppose -4*l + 0*l = -m. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 190\/15*(-6 + 3). What is the biggest value in -5, -4\/7, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Suppose 5*t - 44 - 381 = 0. Suppose 3*l = -3*k + 51, 2*k - t = -s*l + 6*k. What is the remainder when 50 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(20\/3))**(-6\/17)*((((h\/(h\/(h*h**7)))\/h)\/h)\/(h**6\/h))\/(h\/h**(-6)*h**(-4)) assuming h is positive.\nAnswer: h**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/180 and -77\/163530.\nAnswer: 327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -614051*g**4 - 60*g**2*p + 219800*p - 70 wrt g?\nAnswer: -2456204*g**3 - 120*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 11 + 51 = 0. Which is smaller: y or 32?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019716014 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*u = -89*u, -5*u + 28 = 4*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2\/2 - 78. Let a(m) = 7*m**2 + 0 + 0. Determine a(g(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.89. Let s = m + 0.59. Let v = s + -0.6. Put -1\/2, v, -0.3 in decreasing order.\nAnswer: v, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023263403 rounded to seven dps?\nAnswer: 0.0002326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*d = 8*d - 13, 2*p + 7*d - 15 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3990\/(-182) + (-67)\/871?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.07 (b) -2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 1888*a**2 + 3 - 5 - 1887*a**2 + 3778*a**2 + 30*a + 2*a**3 as v*a**3 + o*a**4 + n + d*a + z*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 3 - 1)*(-158*y - 322*y + 92*y) + 0*y - y + 4*y)*(-2*y + 0*y + 0*y) in the form w*y + s + h*y**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-two fifths of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - h**4 - h**3 + 3 - 3 - 2*h**4 + (h**2 - h**2 + h**2)*(-h**2 + 0*h**2 - h**2) + 1879*h**3 - 1879*h**3 - 287*h**4.\nAnswer: -292*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*m = w - 79, 140 = 5*w + 4*m. Suppose -w - 28 = -3*i. Suppose 5*c - i = -0*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11082*b**5 + 38*b**3 + 152822*b.\nAnswer: -221640*b**3 + 228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1413 - -21010143?\nAnswer: 21012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*u + 32*u - 3 + 2)*(u + 5*u - 3*u)*(4*u + 11*u - 2*u).\nAnswer: -156*u**3 - 39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1012*u**2 - 32. Let w(t) = 92*t**2 - 3. Give -3*g(s) + 32*w(s).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ededeedc. Give prob of sequence edde.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 2. Determine a(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1537.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 272*q - q**2 + 0 + 277*q - 2)*(-5 - 3 + 1).\nAnswer: 14*q**3 + 7*q**2 - 35*q + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4293353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*p**2 + 466*p**2 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/313 or -0.12454?\nAnswer: -0.12454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nee when three letters picked without replacement from {n: 4, t: 9, e: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 4*k - 20 = -25*d, 5*k = -2*d - 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -609 + 609. Sort 4, w, -0.63, -3.\nAnswer: -3, -0.63, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let u(w) = -16*w. Let b(h) = -3 + 3*h - 3 + 6. Let r(x) = 11*b(x) + 2*u(x). Determine l(r(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 5. Let r be i(-9). Let j be 66\/(-4)*r\/(-2). Let v = 4 - j. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n + 10. Calculate the remainder when u(-7) is divided by ((-10432)\/(-100))\/4 + (-52)\/650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a factor of 1772288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, d: 1, h: 1, c: 1}. Give prob of sequence yb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330121321 (base 4) to base 3.\nAnswer: -1221112011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2054454\/125 greater than -16436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 53 - 35. Solve 4*x + 5*u = -z, 2*x - 5*u - 7 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174486306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240190?\nAnswer: 2, 5, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -19*a - 7. Determine x(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*m + 442*m + 938*m + 1466*m - 598*m.\nAnswer: 2671*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose u*j = -3*j + 15. Suppose -j*r + 57 = -0*r. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17 - 14 - (1 - 2). Factor 6*w**4 + w**2 - 3*w**g + 0*w**5 + 0*w**2 + 3*w**3 + w**5.\nAnswer: w**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 66. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37637000 rounded to the nearest 100000?\nAnswer: 37600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*c - 14*c + 2*c**3 + 13*c + (3*c - 2*c - 3*c)*(2 + 721*c - 721*c - 234*c**2).\nAnswer: 470*c**3 - 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a hour in seconds?\nAnswer: 38700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(4*b + 6*b - 2*b)*(-2 + 1 - 2)*(1 + 6 - 5)*(5 - 2 - 4)*(0 + 1 - 4).\nAnswer: 288*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74889454 and 476?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 538b0 + 78d?\nAnswer: 5414d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -11, -24, -31, -26?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.089798198 rounded to three decimal places?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 712031\/33 + -21579. Suppose 6*p - p + 455 = 0. Find the common denominator of w and 8\/1*p\/42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094.71 milligrams in micrograms?\nAnswer: 1094710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/4)\/((-2)\/4). Let f(a) be the second derivative of a**3\/6 + a**2\/2 + a. Let s be f(-4). Put q, s, -4 in increasing order.\nAnswer: -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22378 is divided by 11163?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*m - 21 + 98 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22960002 to the nearest integer?\nAnswer: 4792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*q - 624 = 0, -5*q + 7 = -3. Let h = k - 93. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m - m)*(-5*m + 0*m + 3*m) + m + m**2 - m - 46*m**2 - 206*m**2 - 70*m**2.\nAnswer: -325*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itttictittittictii. Give prob of sequence cttc.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*l - 3 = -0*r, -2*l = 2. Suppose w + 4*w + r*u = 24, 0 = 3*w + u - 14. What is the remainder when 11 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:03 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68720321617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4710\/8 - 30\/12. Let b = 586 - m. What is the biggest value in 5, 3, b, -1.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 11*k = 10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 7. Let w(s) = -14*s + 20. Let m(z) = -11*i(z) + 4*w(z). What is the units digit of m(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0492 + 0.12617384.\nAnswer: 0.07697384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88461433 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:41 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 100*z + 1800. Let r be b(-18). What is the nearest to 2 in 3\/11, 2, r, -11\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*j + 5 = 48*j, -j = 4*b - 19639. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4972 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30420, -60841, -91266, -121695, -152128?\nAnswer: -182565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.97 - 29. Let h = -0.07 + k. Let p = 1102\/11 - 100. Which is the second smallest value? (a) h (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1307*z + 1308*z = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181166768 and 24092.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30821 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/(-36) - 9)\/((-6)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21229*f**4 - 6*f + 158 wrt f.\nAnswer: 254748*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 - k + 8. Let m(o) = o**2 - 1. Give -h(y) + 5*m(y).\nAnswer: -2*y**2 + y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 12*s**2 + 9. Let w be h(9). Suppose -5*d + w = -2*z - z, d + z - 107 = 0. Let b = 47 + d. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let d(o) = o**3 - o**2 - 3*o - 1. Calculate the remainder when d(3) is divided by -6*(y + -2)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*q = 1035 - 6226 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 427, -280 in ascending order.\nAnswer: -280, 0, 2, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + (-34)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, d: 3, p: 5}. Give prob of sequence pmdp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 7*g**3 + 7*g**3 - 2*g**4 + g**4 + 0*g**4 + 1 + g**4 - 1 + (-3*g + g + 0*g)*(0*g**3 - g**3 - g**3).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 564 + -441. What are the prime factors of n?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l - 124. Let y be o(31). Suppose 0 = -4*t + n - 23 + 113, 0 = -3*t - 2*n + y. Calculate the remainder when 218 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 8*j**2 + j. Calculate the least common multiple of q(8) and (3 + -2)\/(1\/5) - 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/108146 and -65\/6789688?\nAnswer: 156162824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1920) - sqrt(1920)) + sqrt(1920) - sqrt(1920)) + sqrt(30))\/sqrt(10)*-3.\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*i**5 + 1440386*i**3 - 2*i**2 - 105020*i + 2?\nAnswer: 840*i**2 + 8642316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u = 2*j + 126*u + 3, 3*j + 37 = -31*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28152*c + 337817. Calculate q(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -970*y - 839. What are the prime factors of p(-10)?\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15583 - -29b?\nAnswer: -152b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*x = -4*q - 3, 0 = -2*q - x + 8. What is the smallest common multiple of ((-27)\/(-1))\/3 + -2 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = p + 5, 2*p = -t - 31. Suppose 19*x - 23*x = 52. Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a + 10. Let w(y) = -6*y - 15*y**2 + 25*y**2 - 7 - 9*y**a. Let s(n) = -2*n - 17. Let x be s(-12). What is w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 436 - 18796893728.\nAnswer: -18796893292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*s - 160*s - 16538 = -234*s - 41405 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-137*z**2 - 106*z**2 + 844*z**3 + 243*z**2)*(-2 - 2 + 5) to m*z + a*z**2 + u + p*z**3 and give p.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143947 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 15 = -3*p. What is the remainder when 15 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16967 = c + 74041, 5*c + 114124 = 2*m. List the prime factors of m.\nAnswer: 2, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3918 + 111?\nAnswer: a3a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -9*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + -4 + 5*(-3*-1*sqrt(468) + -5*2*sqrt(468)) + 1)**2.\nAnswer: 1260*sqrt(13) + 573312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*f + 2*q - 28, 0 = f - q + 8. Let d = f + 20. Suppose -24 = -11*b + d*b. Calculate the smallest common multiple of 18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 4*r**2 + 17 - 9 - 2*r - 9. Calculate o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 228 = 5*k, k = -4*y + 57 - 21. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n - 64. Calculate z(0).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 30. What is o rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545880 to the power of 1\/2, to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-1188)\/330?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 135205?\nAnswer: 1081640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w**3 - 1. Let h be p(1). Let i be (h\/2)\/(8\/(-16)). Suppose 17*l + 0*l = l. Sort 2, l, -5, i.\nAnswer: -5, l, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvevvveeveeve. What is prob of sequence eve?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 62496144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*x + 1 - 5, -5*o + 5 = 5*x. Suppose -3*a - 2*j = -13, -4*a - 3*j + 4 = -13. Suppose 8 - 23 = -a*g. Solve o*t = -1 - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiivv. What is prob of sequence iv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -9*u**3 - 3*u**3 - 82 - 38*u + 19*u**3 - 5*u**3 + 22 = 0.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104\/130)\/((-110)\/25)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 877119124\/13375 + -65579. Let i = v + 227423\/642000. Let j = i - 1\/48. Which is the smallest value? (a) 0.4 (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 172, 205, 272, 385, 556, 797?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 449 + -238. Differentiate -w*o + 155*o + 122 - 53*o with respect to o.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 340 - 339. Let t(a) = 3*a + 9. Let y be t(-4). Let h = -2 + 2. Sort y, h, z in decreasing order.\nAnswer: z, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/30*3*(-80)\/(-6). Suppose u - 139 = -x. Let g(i) = -2*i**3 + 8*i**2 - 8*i + 8. Let n(p) = p**2 - p + 1. Calculate u*g(o) + 40*n(o).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -161, 2\/11, 1.2, 5, -11, 2, 4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 58, 128, 236, 388, 590, 848?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5346 + -5351. Suppose x = -2*x. Which is the third smallest value? (a) 2 (b) j (c) 1\/3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34413 and 1107?\nAnswer: 12698397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 26. Let w be a(0). What is the tens digit of w + (3 - 5) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20 = -2*k, -3*y - 40 = 5*k + 2*y. Let f = 189833 + -189835. Put k, 1, 4, f in increasing order.\nAnswer: k, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from iiziziiizi.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.54 from -0.4198.\nAnswer: -0.9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 11. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410 = -103*b + 1307 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 94\/3 (c) 0.7 (d) -3 (e) 0.0015 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125.1 + -118. Let w = -16007731.900031 + 16007739. Let h = w - o. What is h rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c**2 - 10*c**2 + 13*c**2 + 2)*(-2*c + c + 3*c).\nAnswer: 46*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 102*y - 16008.\nAnswer: 3*(y - 58)*(y + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1332)\/(-7215))\/(72\/2106)*2\/84*5.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3687.79416 to zero decimal places.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 240768, 482006, 723706, 965868, 1208492, 1451578?\n\"Answer: 231*w**2 + 240545*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/8*117\/(-546))\/(2\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/349 or 0?\nAnswer: -6\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 49 + 1. Let v = 30 - h. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56\/70)\/(2\/15). Let b(l) = 11 - 2 - 4 - o + 24*l**3 - l**3. Calculate b(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose 31 = -2*x + a*x + 4*o, -4*x + 3*o + 124 = 0. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2374897.34 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -25*y**3 + 109*y**2 + 279*y + 166. Let h(w) = 12*w**3 - 56*w**2 - 140*w - 84. Let g(u) = 7*h(u) + 4*n(u). Factor g(b).\nAnswer: -4*(b + 1)**2*(4*b - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520779 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, 3, 1 in ascending order.\nAnswer: 1, 3, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90927 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*a + (a - 1 + 1)*(-5 - 4 - 3) + 0*a + 3*a - a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-297))\/((-2320)\/(-261))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978855 to the power of 1\/2, to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -5.06. Let q = -208.9 + 204.9. Which is the nearest to m? (a) -0.1 (b) -3\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4502113 (base 9) in base 11?\nAnswer: -1405118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -4\/3, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 257*x**4 - 11*x**2 - 157*x + 7. Let y(i) = -129*i**4 + 6*i**2 + 78*i - 4. Let f(b) = -4*k(b) - 7*y(b). Find the second derivative of f(s) wrt s.\nAnswer: -1500*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j + 3. Let g be u(-2). Suppose g*p = 79 + 29. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 826342 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p**2 - 704*p - 6828. Let i(z) = -2*z**2 - 64*z - 617. Let n(b) = 6*a(b) - 68*i(b). Factor n(f).\nAnswer: 4*(f + 13)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3173.228 - 3168.2686764. Let u = -4.75732149 + i. Let y = 0.202 - u. Round y to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3, 0.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(v + v + v) + (-2 + 5 + 0)*(3 - 3 + 2*v) to t + y*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61 - 73 - 75*w + 310*w - 99 + 56 wrt w?\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2160231, 4320431, 6480631?\nAnswer: 8640831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -62. Suppose -2 = -5*v - 4*p + 17, 4*p = 5*v - 11. Suppose l = -5*o + 15, -l = l + o - 57. Solve 3*n = -3*d - 24, 3*n - v*d = i*n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a485 (base 11) in base 2?\nAnswer: 100011100011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*c - 331*c = 924. Calculate the highest common divisor of c and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhqhhhhhzj. Give prob of sequence zhq.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-275)*1\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015 = 165*k - 365 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 137? (a) 1395 (b) 0.1 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 - d + 2. What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-9)*c))\/(c\/c**(1\/4)))\/(c**2\/c**(-3\/11)) assuming c is positive.\nAnswer: c**(263\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225241239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(2*(-2)\/4). Let n(z) = z**2 - 18*z + 19. Let o be n(17). Let k = -2 - -3. Put o, k, a in increasing order.\nAnswer: a, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63759 times -2\nAnswer: -127518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -1*(8 - 4)\/(-4). Suppose 101 = -r*b + 481. What is the remainder when b is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010101 (base 2) to base 13.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -66199 and -67309 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*l + 5154 + 3272 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 105 + 12)*(0*w + 0*w + 2*w - w + 6*w + 0*w + (0 + 2*w + 0)*(-1 + 2 + 2) + 3*w + w - 5*w).\nAnswer: 1416*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -19147*k**2. Let m(v) = -v**2. Give h(m(w)).\nAnswer: -19147*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:56 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*b + 28099992 = 0, 5*u = 3*b + 14454191 + 13645815. Round u to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 14. Let z(g) = -7*g - 29. Let v(j) = -9*u(j) + 4*z(j). Let c(k) = 1. Let r be 6510\/310 - 5*4. What is r*v(p) - 3*c(p)?\nAnswer: -p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33959, -68335, -102711, -137087?\n\"Answer: -34376*c + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 - z**2)*(-1 + 3 - 1)*(0*z + 5*z + 0*z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25919 + 25974. Which is smaller: i or 64?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + 6.02. Let s = 2891 - 20239\/7. Which is the biggest value? (a) 5 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, z: 5, v: 8}. Give prob of sequence vhv.\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqdebbc. Give prob of sequence qec.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29\/3 + 2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -1035.1 (c) -0.05 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:46 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(8)\/(sqrt(12)\/sqrt(3)))) - (sqrt(2) + (sqrt(2) - (sqrt(2) + 4*sqrt(2)*-1)))**2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 14*j + 24 = 0. Let z(t) = -2*t**2 + 2. Let f(n) = -3*n**2 - 2*n + 1. Let b(h) = j*f(h) + 4*z(h). Factor b(a).\nAnswer: (a + 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.58. Let s = b - -3.92. Let d = -4.00032 + s. What is d rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let j be r(-6). Let w = -18 - j. Let x = 0.3207 - -4.6793. Which is the nearest to -1? (a) x (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8603366 is divided by 2657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 762403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*a + 2*m, 0 = -3*a + 12*m - 16*m + 91. What is the lowest common multiple of 30 and a?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(1 - (1 - -1)). Suppose -d = -o*d. Suppose -3*v = d, 5*f - 6*v = -4*v + 230. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1199 and -211335.\nAnswer: -210136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 2*u**5 - 5*u**5 + 0*u**4 + 2*u**4.\nAnswer: -2*u**4*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 6. Let f(s) = -s**2 - 8*s - 8. Let x be f(-6). Let b be i(x). Suppose 3 = 3*n - 33. What is the greatest common factor of n and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 minus 0.019?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 + 40)*(-d - d + 0*d)*(-d + 2*d + 0*d - 2).\nAnswer: -76*d**2 + 152*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/24 - (-36)\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.04540695 from 1.\nAnswer: -1.04540695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1650 + 1649.8. Which is the nearest to f? (a) 3 (b) 2\/17 (c) -3 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -762 divided by 254\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/8741 at most as big as 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -107bf - 483?\nAnswer: -10c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -668, -1335, -2002, -2669?\n\"Answer: -667*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2*-1 - -12. Let l be (17 + 4 + -2)*1. Let h = l - u. What is the greatest common factor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose -4*x - 4*p = h, 5*p - 7 = -32. Suppose -j + x = 1. Solve s = u - 2*u + 3, -20 = -j*s + 4*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23563446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-70)\/4*16\/(-20)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/9)*u**(-12\/11))**39)**(-45) assuming u is positive.\nAnswer: u**(25350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*d + 2 = 5*d, 0 = 5*z + 5*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 4*s - w, -5*s - 5*w - 20 = 0. Let x be (-2)\/((s + (1 - -1))\/(-2)). Solve 0*f = -x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 891885*f**3 - 653551 wrt f?\nAnswer: 2675655*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 21 + 7)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 equal to -24150\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 26*y + 549. What is b(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 2*v - 20, 4*i + v + 2 + 18 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Suppose -c + 3 - 6 = 0. Let k be (c\/(-9))\/((-1)\/3). What is v(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(3) - sqrt(21))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -7) + -24430 + 1. Let m = b - -43025. Suppose l + 2*l + m = 0. What is l rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 327.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 67. Let n = w + 28. Let r = 105 - 55. What is the highest common divisor of r and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*v**3 - 341*v**3 - 342*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 94. Suppose -v - 4*a = -2, 50 = 4*v + n*a - a. Suppose -2 - v = 4*q, o - 4*q - 51 = 0. Calculate the greatest common factor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50746.\nAnswer: 2, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6616.\nAnswer: -1\/6616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 55*v**2 - 251*v + 20. Determine y(5).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u - 371 + 161 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -104. Suppose -3*q - 5*d = -q - 20724, f*q = -4*d + 31079. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16678*y + 817221. What is o(49)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 7. Let j(t) = 5*t - 6. Let w(c) = 6*a(c) + 5*j(c). Let q(l) = 2*l**2 - 6*l + 4. Let m be q(2). Let g be 2\/4*m\/1. Calculate w(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -8*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y - 558. Let n be l(-33). Sort -32, 4, -4, n in increasing order.\nAnswer: -32, -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -410 in descending order.\nAnswer: 5, 0, -5, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 20 + -10 + -15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 6*l + 10. Let h be w(-4). Factor -6*u - 15*u**5 - 9*u**3 + 10*u**5 + 8*u**5 + 15*u**h - 3*u**4.\nAnswer: 3*u*(u - 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -252654305 less than or equal to -252654304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4026 - 0.3026. Let h(u) = u - 11. Let q be h(6). Let r be (-6 - q)*(0 - -1). Put 4, i, r, 5 in descending order.\nAnswer: 5, 4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -524, -1054, -1584, -2114, -2644?\n\"Answer: -530*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2178 divided by 6\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**10)\/y)**(-4\/3))**(-7) assuming y is positive.\nAnswer: y**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 5*h + 2. Calculate f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 4 (c) 1\/2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c**2 - 4*c + 42. Give v(3).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150875 + -73993. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -33?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 3*q + 2. Suppose 0*h + 13 = z - 4*h, -4*z + 8 = -5*h. What is r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/2 - 10*u**4 + 117*u**3\/2 - 81*u**2.\nAnswer: u**2*(u - 9)**2*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = -38. Let t(n) = u*n - 106 + 133 - 8*n. Let d(j) = 6*j + 13. Let s(p) = 9*d(p) - 4*t(p). What is the first derivative of s(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 365*d**2 - 1105*d - 5554. What are the prime factors of x(-5)?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*m - 81, -n = -m - 0*n + 39. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875728 is divided by 11373.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/8)*(m**(-4\/9)*m*m)\/m)**(-48) assuming m is positive.\nAnswer: m**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 628*r - 623*r - 9 = 0, -3*g - r + 9 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*c**2*g**2 + 7*c*g**2 - 3*c + g**2 wrt c.\nAnswer: 320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 16382.\nAnswer: -81910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5077243953.\nAnswer: 3, 17, 31, 1070471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by -18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 67*y**5 - 3*y**4 + 18*y + 88*y - 46*y wrt y?\nAnswer: 1340*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1439*f - 51804. Determine s(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -648 - -1277. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4 + 18*c**3 - 124*c**2 + 216*c - 112 = 0.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -47*x + 5541. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**2*m + 12*h**2*r - 8*h*m**2*r + 11*h*r - 6805*m**2*r - 4*r + 544 wrt m?\nAnswer: -3*h**2 - 16*h*m*r - 13610*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16251 divided by -5417.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*1*((-2 + sqrt(275))*-5 - ((5*sqrt(275)*1)**2 - sqrt(275))))*-2.\nAnswer: 160*sqrt(11) + 54928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -931357 (base 10) to base 5\nAnswer: -214300412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -f - 10*m - 8, -2*f - 2*m = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27)*15\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 44\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 0 - (-1 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*o**2 - 18*o**2 + 76*o**2 as c + y*o**2 + p*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 111*l**3.\nAnswer: 111*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2\/(-4) + 62\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.3274814 to three dps.\nAnswer: -15.327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 666*k**3 + 1343*k**2 - 12*k. Let u(y) = -6*y**3 - 2*y. Let x(q) = h(q) - 6*u(q). Find the third derivative of x(s) wrt s.\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/30 - y**4\/8 - y**2 + 3*y. Let t(v) be the first derivative of x(v). Find the second derivative of t(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 1:53 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:32 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39317265 divided by 3?\nAnswer: -13105755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*u + 166*u = 173448. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(6 - 1 - 1)*(-4*f + 4*f + 2*f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*s - 0*x + 4, 0 = x - 5. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/360 - c**5\/60 + c**4\/4 + 17*c**3\/6 - c**2 + 48*c. Let b(u) be the second derivative of m(u). Determine b(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -5*i**6\/6 - 23*i**4\/4 - 213*i**3 + 294. What is the third derivative of j(g) wrt g?\nAnswer: -300*g**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33289.88 years to decades.\nAnswer: 3328.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76)\/sqrt(4) + sqrt(19)) + sqrt(57)\/sqrt(3) + -3)**2 - ((3 + -1 + sqrt(76) + sqrt(76) - sqrt(76)) + -1*(-1 + sqrt(76)))**2.\nAnswer: -78*sqrt(19) + 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29*5\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 6:54 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p + c + 14, 0 = 4*c - 16. Calculate the smallest common multiple of 20 and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-14))\/(2\/(-100)). Solve -3*r - 6 = -3*z, -2*z + 0*z - 5*r + o = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 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: What is 591 minutes before 8:47 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-214)\/1391 - 4866\/(-26). Which is greater: 2058\/11 or h?\nAnswer: 2058\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -6, 1 in decreasing order.\nAnswer: 37, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 69*j**3 + 1224*j**2 + 1156*j.\nAnswer: j*(j + 1)*(j + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1517*p**4*r**2 - 22*p**4*r - p**2*r**2 - p**2 - 2*p*r**2 + 10382*r**2 wrt p.\nAnswer: -36408*p*r**2 - 528*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283389.\nAnswer: 17, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-237)\/30 + (3\/(-5) - 11\/(-22))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3118?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 78754311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -24*g + 496. Suppose 2*n = -4*u + 3 + 17, -3*u = -n. Is (g\/n)\/(46\/69) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 - (8 + 7 + -14 - 64) - 6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-2 - (-14 + 25 + 20))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let p = -31 - -31. Suppose 9*i + 3*i - 24 = p. Let a(y) = -5*y**2 - 5*y**2 + 6*y**i. What is a(o(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166 and 4399?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159785127 to the power of 1\/2, to the nearest integer?\nAnswer: 34056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1600)\/(-8960)*(-120)\/(-10)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.72 and -0.5.\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*v + 308 = 315*v - 138*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -102231 (base 5) to base 2\nAnswer: -110101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(4*v - 4*v + 11*v) as r + a*v and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, b: 2, e: 1, h: 2, x: 1}. What is prob of picking 1 b, 1 s, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 0*o**2 - 220 + 0*o**2 + 64.\nAnswer: -o**2 - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12657000 to the nearest one hundred thousand.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/25)\/(32\/4)*2)\/((-176)\/3300)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121281, -120850, -119685, -117420, -113689, -108126?\n\"Answer: 61*s**3 + s**2 + s - 121344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l + 520 = -906. Let n = 46 + l. What is the smallest value in -2, 1, n, 63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 20*i + 4. Calculate o(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.5. Let c = -72 - -105. Let l = c - 30. What is the third smallest value in 11, f, l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.91550153 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -1185, -2756, -5855, -10992, -18677, -29420, -43731?\nAnswer: -62120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 0*i**3 - 1 + i + 5*i**2 - 11*i**2. Determine v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/60)\/((-2)\/(-15)) + (46 - 69)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15302900 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*v + 16, 2*v - p + 4 = -3*v. Let d be (-7 + 7)\/(v - -1). Suppose d = -3*i + 10 - 1. Solve -3*m - 5*a = -9, -a - i*a + 10 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 6*q**2 + q - 3. Calculate i(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/8 - 29*w + 3655\/8 = 0 for w.\nAnswer: 17, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170 - 32*l - 12*l**3 + 337 - 167 to the form m + j*l + b*l**3 + i*l**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*v - 6*v. What is the common denominator of -25\/22 and (-8)\/v - (-945)\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 + 2*m - 2. Let i(u) = 4*u**3 + 7*u**2 - 7*u + 7. Suppose 5*c - 2 = 2*q, 2*q - 8 = -5*c + 10. Calculate c*i(v) + 7*g(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 8*d**2 - 7*d. Let f be w(9). Let s = 23 - f. Let u be -2 - (2 - s) - 1. Put u, -3, -1 in decreasing order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 6. Let j be p(-6). Let y be 15 - (2*(-1 + 0) - -7). Calculate the highest common divisor of y and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -56, -199, -484, -959, -1672, -2671?\n\"Answer: -8*c**3 + c**2 + 4*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 + -401. What is the remainder when g is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 13 = h, -3*h = -5*t - 4 - 1. Suppose z + 2*v - 87 = 0, z + h*v = 2*z - 59. What is the remainder when z is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g. Let j(o) = -6*o. Let n(v) = v**3 - 5*v**2 - 5*v - 4. Let b be n(6). Let d(x) = -5 + 7*x + b + 3. Let l(k) = 5*d(k) + 6*j(k). Determine l(r(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/(i*i*i\/(i\/(i\/i**(2\/17)))*i)*i**(-18)\/i**(-20))**(-16) assuming i is positive.\nAnswer: i**(1056\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 1 + 98*n**2 + 4 + 35*n**2 in the form t*n**2 + r*n + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 2, i: 7, c: 1}. Give prob of sequence cs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2*24 - 3. Let r(s) = -9*s + 415. Let z be r(46). Are z and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6*0)\/1. Let p = 11 + -5. Solve 2*k - p*k - 16 = v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - x = 13, -2*i + 36 = 2*i - 4*x. Suppose 3*a + 3*t - 3 = 3, -i*t - 32 = -4*a. Solve -a*l - 5 = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-15)\/(-2)))\/((-12)\/10)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/3 + x**2\/2 + 2*x - 28. Suppose -5*y + 27 = -3*o + 7, 2*o - 3*y + 12 = 0. Suppose o*n - 5 = n. Calculate d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*d + 10, -4*d - 4 = -0*v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*h**2 + 2 + 322*h**2 - 2 + 294*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508504 or 508508?\nAnswer: 508504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -2*q - 5*k, 4*k - 8 + 20 = 0. Put q, -1, -5 in increasing order.\nAnswer: q, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/18 and -43\/436.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -57017?\nAnswer: -57022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.627 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11\/5))**46 assuming j is positive.\nAnswer: j**(-506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 16.8385702.\nAnswer: 3.36771404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, -3, -0.7001, 0.1 in ascending order.\nAnswer: -3, -0.7001, -0.1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*i = -4*l + 498*i + 81, -4*l - 6*i + 108 = -2*i for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) 18\/13 (c) 3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12049440 divided by -96?\nAnswer: -125515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 + 11*v - 4. Let g be n(-11). Let x(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/4 - i**3\/6 + 4*i**2. Calculate x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/60 - 3*o**2\/2 - 3*o. Let h(y) be the first derivative of d(y). Let b(q) = -q - 2*q + 2 - 2. Give h(b(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l**3 - 657 - 72*l**3 + 648 + 162*l**3.\nAnswer: 21*l**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let k be 28\/8 + (-5)\/2. What is the greatest common factor of v and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24876 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:54 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428 - 1336 + 449 + 459 + 3119*q.\nAnswer: 3119*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 3*z**2 - 6*z - 3. Let t be p(-2). Let o = 66 - 65. Sort o, t, 4 in increasing order.\nAnswer: o, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-10))\/(((-3)\/36)\/((-20)\/(-40)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3601, 7203, 10805?\nAnswer: 14407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.321 - -366.679. Let h = s - 366.999841. What is h rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1073 + -932. Is o at most 706\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 1. Let o(b) = 9*b + 2. Let a(y) = -7*l(y) + 4*o(y). Is a(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*z - 10, 3*d - 4*z - 8 = 4*d. What is the remainder when 31 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 + 2.1.\nAnswer: 341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114492868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (187950\/(-168))\/(2\/(-8)).\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*v + q - 14, 0 = 2*q + 4. Let g be (-46)\/v*120\/(-70). Let i = g + 20. Which is the biggest value? (a) i (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 0*n + 8*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 5*h**2 + 0*h**2 + (0 - h + 0)*(-h + 2*h + 2 + 4*h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54, 56, 58, 60, 62, 64?\n\"Answer: 2*n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + 5*r - 154. List the prime factors of d(-42).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*i + 58 = 16, 0 = -3*i - 9. Solve 4*v - 4*s = w, -v - 2 = -5*s - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 3, i: 4, y: 1, k: 2, o: 1}. What is prob of sequence iiky?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2938, 5950, 9042, 12214, 15466?\nAnswer: 18798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/1088*-8*664?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53564, -107171, -160778, -214385, -267992, -321599?\n\"Answer: -53607*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - v = -6*v + 31, -10 = -2*v. Suppose 3*l + 6 = -0. Let c = f + l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*k + 991*k = 4788 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.3, -3, -27, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 90 + (4*-1 - (2 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000890051933 rounded to six decimal places?\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 78*x - 106. Let d be o(17). What is the highest common factor of 3159 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 15 = -9*t. Let l be 30\/4*4\/6. Let d = t + l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53905, 51757, 45927, 34573, 15853?\nAnswer: -12075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m + 2*m. Let w(i) = 14*i + 5 + 1 + i**2 - m - 12*i. Let f(b) = -b**3 + 3*b**2 - b. Let v be f(3). Determine w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (238 - (-6 + 230)) + (-2 - -2 - -2) + -96\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let v be 1\/((-8)\/16 - 2)*10\/(-606). Which is greater: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 472 = 2*n + 494, 40 = -5*n - 5*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1575, -1573, -1571?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjy when three letters picked without replacement from jmxyzyjq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -55501272?\nAnswer: 55501266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -5, 1, 5\/2, -76\/17, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k - 26*k - 8 - 2*k in the form s*k + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 + 25*w + 19. What is k(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1098 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 120 = 5. Suppose 0 = 5*s - 2*i - r, -5*s + 3*i + 30 = 2*i. Suppose -s*z + 30 = -z. Calculate the greatest common divisor of 2 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m - 8. Let f(u) be the first derivative of u**2\/2 + 16*u + 4. What is the remainder when d(-6) is divided by f(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -403 and -2825\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(1573) + (sqrt(1573) - (5 + 3*sqrt(1573) + sqrt(1573) + sqrt(1573))) + 1.\nAnswer: -33*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 77 = -4*w, 0 = 4*p + 3*w - 35 - 8. Calculate the remainder when 0 + 1 - (-46)\/2 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1061 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edd when three letters picked without replacement from {a: 3, e: 1, h: 1, d: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/11, 5\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -2*37\/2. Let v = b - 13. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 1 - 2. Let o be -4*(35\/(-2))\/r. Let x be -3*(0 + (-14)\/3). What is the greatest common factor of o and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (75\/2)\/((-40)\/(-480)) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 175*n - 397 + 215 - 713 = -12*y, -5*y + 5*y - n = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/29 (b) -68 (c) 4187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.87 + -1.37. Sort c, -0.4, 0 in descending order.\nAnswer: 0, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 58. Let i(u) = -u**2 + 4*u + 16. Let n be i(14). Let o = c - n. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603770 is divided by 6038.\nAnswer: 6008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10.882 (b) -4 (c) 3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 10*s**3 + 140*s**2 + 230*s + 105.\nAnswer: -5*(s - 7)*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 10 = -3*h - 2*s, 3*s = -6. Let v be (1 + 5)*h\/(-4). Suppose 2*x - v*x = -37. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.36772 and -0.0269.\nAnswer: 8.34082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 10*k + 22. What is s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378 + 427. Find the second derivative of 23*t + v*t - 46*t**2 + 16*t**2 - 33*t wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557636303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9*m = 26*m - 14*m. Let l(a) be the third derivative of -13\/84*a**4 - 2\/7*a**3 - 4\/105*a**5 + m - 4*a**2 + 0*a - 1\/420*a**6. Factor l(s).\nAnswer: -2*(s + 1)**2*(s + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 9770. Let m(c) = c**2. Give m(r(b)).\nAnswer: b**2 - 19540*b + 95452900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4, d + 900 = -4*i - 0*d. Let p = i + 229. Sort -2, p, -5, 2 in increasing order.\nAnswer: -5, -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50*0.01\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9606*j + 3. Let y be h(-4). Let g = y + 20814. Let p = g + 27607. Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:36 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48531\/(-4622)*4\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/32)\/(-1 - -3 - 9\/(-18))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p + 53509. Let t(u) = 23*u**2. Give j(t(v)).\nAnswer: 276*v**2 + 53509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1259*k**4\/12 + k**3\/2 + k**2 + 12*k. Let x be a(-1). Round x to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138357434 is divided by 5131?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n)*(4*n - 3*n + n)*(-2*n**3 - 2*n**3 + 2*n**3 + (-2*n + 2*n - 2*n**3)*(5 - 2 + 6)).\nAnswer: 40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 2. Let w(p) = 7*p - 3. Let l be 5*4\/30*3. Let a be 3 + -2 + 0 + l. Determine a*w(f) - 5*r(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-56) + (-279)\/(-12) + -5. What is the greatest common factor of z and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236\/565 - 2\/113. Let y = 2171\/9 + -241. Which is the closest to y? (a) i (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -36*x**2 - 99*x - 4. What is y(-4)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125.4 - -125. Suppose 0*g = 5*f + g - 39, -f = -5*g - 13. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 30 + 49 - 124*r.\nAnswer: -124*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221028 and 22.\nAnswer: 2431308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtq when four letters picked without replacement from adatqataadta.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -36*n**3 - 35*n**2 - 40*n - 113. Determine w(-4).\nAnswer: 1791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2116 - 165?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*x - 139*x + 16 = 0. Suppose 0 = 2*k - 2*h - 968, -x = -5*h + 2. Is 54 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q + 241. Let i(h) = 2*h - 1. What is -d(c) - 3*i(c)?\nAnswer: -c - 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9443*b**2 - 75*b**3 + 9443*b**2 + 76*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 4:48 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h - 3*d = -35, 3*h - 4*d - 50 = 0. Let t(i) = 2*i**2 + 3*i + 1. Let l be t(3). Let z = 82 + l. What is the highest common divisor of h and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 + 2*f**4 - f**4 + (-2*f + 4*f - f)*(-2*f**3 + 2*f**3 + 2*f**3) - 4*f**4 + 0*f**4 + 3*f**4 + 435*f - 281*f**4 - 435*f.\nAnswer: -279*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32625135?\nAnswer: 3, 5, 41, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose 4 = -9*s + 5*s. What is the nearest to p in 0, -4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62\/3, 1086, 2\/5?\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6550 in 2\/9, 7, 2, 8.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -22*q**5 - 271*q**4\/12 + 587*q. Find the third derivative of r(z) wrt z.\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*v**2 - 20*v - 4 = 0. Calculate v.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199950 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 15 = -3*n. Suppose -n*f = 15, -2*f + 136 + 323 = 5*w. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 923252\/17 or 54308?\nAnswer: 923252\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80119*q**3 + 16851*q**3 - 12169*q**3 - 35934*q**3.\nAnswer: -111371*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 42 = -98. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 68 (b) 1 (c) -867\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 12 + 5)*(0*v + 0*v + v) to y*v + g and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/50)\/((-2)\/20). Let b(f) = f**2 - f. Let o(a) = 5*a**2 + 2*a - 8. Let v(c) = q*b(c) - o(c). Let u(x) = x + 13. Let w be u(-7). What is v(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*g**4 - 4*g + 6?\nAnswer: 648*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 37. Is (-24)\/(-30) - (-288)\/u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213596 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 6*a - 3. Let c be n(4). Let d = 16 + c. Suppose d*r + 2*i + 0*i = 39, -i + 33 = 4*r. Solve -t = 5*q - 3 - r, t = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -10*u + 5*u + 25, 3*u - 12 = 0. Let r = 14 + -3. Let l = r - 2. Solve -l + t = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*m + 2649 - 850 - 1175 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 + 2*o**2 - o + 1. Let r be w(2). Is r less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 1. Let o be 2\/3 + (-45)\/27. Let w = o + 0. Let y = w - 2. Determine t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*((x**0\/x)\/x)\/x)\/x)\/x**(2\/11)*(x**(-2)*x)\/(x\/((x**(-2)*x)\/x)) assuming x is positive.\nAnswer: x**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (88\/(-198))\/((-8)\/(-396)). Which is the nearest to 0.3? (a) 2\/11 (b) 1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2 + r - 1. Let c be w(3). Let z(l) = -7*l + 3 + 3*l**2 - 2*l**2 - c*l**2 + 5. What is the units digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4442216 divided by -1110554.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*36\/(-42)*2079\/66.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h - 12066*h**2 + 1 - 46*h + 12067*h**2 in the form c + d*h**2 + t*h and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 3 = 4*q, 2*k - q - 20 = -9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 9*d**2 + 8*d + 2. Let k be s(-8). What is p in 0*p**3 - 6*p**3 - 4*p**k - 31*p - 12 + 2*p**3 + 51*p = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200786, -200848, -200952, -201098, -201286, -201516?\nAnswer: -201788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 5*w**2 - w - 3. Let l be n(-4). Let z = 19 - l. What is the units digit of 1*z + (7 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 626.571 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:40 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -98*12\/(-336)*(-12)\/(-7). What is the highest common divisor of 7338 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 123484*j**2\/5 - 1921622976*j\/5 - 480158316288\/5.\nAnswer: -2*(j + 254)*(j + 30744)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {g: 7, k: 5, q: 1, w: 6}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/20193 and -65\/40386.\nAnswer: 40386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 36 = 4*x - 3*p, 2*x + 3*p + 19 = 0. Let z be (-2)\/(4\/6) - x. Solve 20 = -4*n + 3*c, 0*c - z*c - 10 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75.95301 years?\nAnswer: 911.43612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(11)*2)**2 + (sqrt(88) + 3*sqrt(88)*-5 - sqrt(88))\/sqrt(8).\nAnswer: -15*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*a - 16, 11*a + 12 = -3*w + 14*a. Is w > 65\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 108. Let n be u(-21). Solve -4*c + n*g + 35 = 0, 2*c + 5*g = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*i. Let p(u) = -u**2 - u + 460. Let j be p(i). Suppose j = -4*n + 6*n. What is n rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-244)\/915)\/((-3)\/(-15))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76952183 divided by 3?\nAnswer: 76952183\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-1*-4 - (sqrt(2112)*-1 - sqrt(2112)))\/(((-2*sqrt(264))\/sqrt(6))\/((sqrt(24)\/sqrt(2))\/sqrt(3))))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010111 + 1000110?\nAnswer: 11011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*m)*(-m**2 - 2 + 8*m**2 + 1) to the form l*m**3 + g*m**2 + f*m + d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -10. Let r = 528\/1363 + -221\/4089. Sort -0.21, d, r, -5.\nAnswer: -5, -0.21, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-23 - -21) + -6 + -78.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 4759298087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 9*m + 15. Suppose h + 5*w = 9*w + 25, -4*w = -5*h + 45. Let j be l(h). Suppose 14*s = 4*s + j. Solve 7 = 5*k + s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -60245?\nAnswer: -60237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3312 and 4393?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -83*h + 15. Let t(w) = 41*w - 8. Give 4*m(a) + 7*t(a).\nAnswer: -45*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 - 2.483. Let p = g + 2.4. What is the closest to p in -1\/10, 1, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 + 6 = -2*p, -q = -2*p + 16. What is the derivative of -4 - 3*f**2 + 3*f**2 + 3*f**3 + p wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let n(x) be the second derivative of 0 + 112*x - x**3 + 3\/2*x**2. Determine -3*g(y) + n(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffkbgtfftnff. Give prob of sequence btfg.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Let l be ((-2)\/(8\/(-20)))\/1. Let m(y) = 2*y**2 - 2*y - 11. Let c(u) = u**2 - u - 5. Let a(i) = l*c(i) - 2*m(i). Give a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 211879717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 + 11*x**2 - 40*x + 48 = 0. Calculate x.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*l - 1, 3*l + l - 5*u = -41. Let p be ((-2)\/(-4))\/((-2)\/(-16)). Let q = 227 - 225. Put p, q, l in decreasing order.\nAnswer: p, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1448 + 7559. What are the prime factors of c?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(2*sqrt(150) - sqrt(150)))\/(1*sqrt(48)))\/((sqrt(40)*1*-2 - sqrt(40)) + sqrt(40) + (sqrt(40) - sqrt(360))*-2).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32402 + 32087. Is -0.13 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, -0.08, -2, 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -685 - -497?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877, -4842, -11897, -22042?\nAnswer: -35277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.54 and -52.\nAnswer: -52.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 27*u**3 + 3*u**3 + 3*u**3 + 21*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 306901051 divided by -37?\nAnswer: -8294623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.02 (b) 6 (c) 24 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**3 + 6*h - 10. Let l(p) = -6*p**3 + 5*p - 9. Give 6*l(o) - 5*z(o).\nAnswer: -o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5589940, -11179879, -16769818, -22359757, -27949696?\nAnswer: -33539635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -342?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -4*l + 24, 4*l = 4*t - 44. Calculate the least common multiple of t and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + 4\/(-6). Let q = 4 + m. Differentiate -q + 3*t**2 + 4*t**3 + 1 - 3*t**2 with respect to t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(0*o + 9*o + 11*o) + 4*o + 2*o - 8*o)*(-6 + 0 - 2).\nAnswer: -304*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 443*w**3 - 3446*w**2 + 6944*w**2 - 3498*w**2 in the form q + i*w + s*w**2 + p*w**3 and give p.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 54772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 3*y**2 - y + 2. Let a(l) = l**2 - 6*l - 62. Calculate the smallest common multiple of a(-6) and x(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*h + 504*h - 18 - 254*h.\nAnswer: h - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1346, 2527, 3544, 4397, 5086, 5611?\n\"Answer: -82*o**2 + 1427*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from vdddddvvdd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-3)*966\/23. Let y = n - 127. Calculate the remainder when y is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n = -82*n - l + 6, -42*n + 21*l = 51*n + 126 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 6096*o**2 - 3096768*o = 0.\nAnswer: 0, 1016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588.23 + -588.2669287. Let t = 672 - 671.9631. Let z = t + o. What is z rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -3\/10*h**5 + 0*h**4 - 1\/6*h**3 + 0 + 1\/2*h**2 - 2*h. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26718 times 41\nAnswer: 1095438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 788802 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 + 1518*u**2\/7 + 46272*u\/7 + 364032\/7.\nAnswer: 3*(u + 16)**2*(u + 474)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91, -391, -893, -1591, -2479, -3551?\n\"Answer: j**3 - 107*j**2 + 14*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, a: 1, r: 2, k: 1, j: 1}. Give prob of picking 1 k, 1 r, and 1 a.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1848925 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 - 2*i**3 - 2 + 0*i**3 - 391*i**2 + 108*i**2 + 4*i**3 to l + y*i**3 + v*i + o*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -12 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccpppppcpxccpx. Give prob of sequence pccp.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 151. Let v be i(0). Let o be v\/(-2) + (-3)\/6. Let l = -29 - o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o**2 - 6 + 4)*(92972 + 153*o**2 - 92972)*(-o + 2*o + 0*o).\nAnswer: -153*o**5 - 153*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 108, 161, 214, 267?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjgb when four letters picked without replacement from {k: 1, b: 5, j: 1, g: 2, o: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*d**2 + 2680955*d - 198590 = 0.\nAnswer: -19859, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*r**2 + 159*r**2 - 63*r**2.\nAnswer: 178*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3798 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + (-476)\/(-51). Suppose -2756 + 767 = -f*v. What are the prime factors of v?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19420, -19630, -19840, -20050, -20260, -20470?\n\"Answer: -210*x - 19210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -1\/7 (c) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 59, 5, 85, -3 in descending order.\nAnswer: 85, 59, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 971 + -934. Let c(a) = -13*a**3 + a**2 + a + 2. What is the remainder when c(-2) is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858a (base 16) to base 5.\nAnswer: 2043221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {a: 1, n: 1, v: 6, u: 3, o: 6, i: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -11264569.\nAnswer: 11264563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -308362 and -309064 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2790430.6 rounded to the nearest one thousand?\nAnswer: -2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -346 - -470. What is the greatest common divisor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 v when four letters picked without replacement from cvvlvccvvcccvllcvc?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77 and -29.\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -776808 divided by -72\nAnswer: 10789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832928 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11027308 is divided by 186901?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 15 - (-6 + (11 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25978 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 + 79 = 2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 553*m**2. Let j(a) = -1311*a**2. What is y(j(w))?\nAnswer: 950452713*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w + 4. Let s be (-1)\/(-3) + (-34)\/(-6). Let y(u) = 17*u + 7. Let r(a) = 16*a + 6. Let z(i) = 2*r(i) - 3*y(i). Determine s*z(q) + 13*x(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 210\/84*(-4 + 72\/10). What is the nearest to 0 in 0.1, -104, h, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8.9. Which is the second biggest value? (a) i (b) 4 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 2*z + 68, z + 104 = 5*m. Let k(n) = -n**2 - 5*n + 6. Let y be k(-6). Let s = m - y. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*s, 0 = 8*m - 3*m - s. Suppose m = -2*o + 24 + 48. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-48)*((-1245)\/(-830))\/(21\/(-2)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055360 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4971*v**3 + 59252*v**2?\nAnswer: 29826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 10) to base 15.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.42556417 plus 1.23?\nAnswer: -14.19556417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 - 389 = 7*o. Let d be (-2)\/(14\/o + (-74)\/14). Determine m, given that 1\/5*m**4 - 2\/5*m + 0*m**2 + d*m**3 - 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 828*f - 831*f + 2 + 1. What is u(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150203970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 669440 divided by -5\nAnswer: -133888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2 + -2*sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(144)\/sqrt(3) - sqrt(48)) - sqrt(3)))*6 + 3 + 2)*4)**2.\nAnswer: 48384*sqrt(3) + 90432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, q: 1, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 + 24714*h + 147968. Calculate w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + s**3 + 12*s - 4*s**2 - 9 - 4*s**2 + 10*s**2. Let q be d(4). Let l(z) = -9*z + 3*z + 5*z + 12. Give l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j**3 - 2*j**2 + 1. Let i be q(1). Let m be (-1 + 2\/(-4))\/((-17)\/(-170)). Let o = i - m. Are 0 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/24)\/((-15)\/8). What is the smallest value in -1\/3, u, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239187989.\nAnswer: 83, 2881783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((20\/(-3))\/(-5))\/2*9. Let y(p) = p**3 - 4*p**2 - 6*p - 16. Let b be y(z). Solve 4*j = -5*w - b, 4*j + 12 = -3*w - 0*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10644.\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.067 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) - ((0 + sqrt(72))**2 + 1)) - ((sqrt(72) - (sqrt(72) + 0 + sqrt(72))) + -5 + sqrt(72) + 0)**2)*5.\nAnswer: -505 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1082*j - 1012*j - 2783*j to m + b*j and give b.\nAnswer: -4877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 391 + 729. What is the remainder when c is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -35. Calculate the remainder when (3 - 1315\/(-35)) + 3\/7 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*b - 11408*b**3 - 1 + 11412*b**3 - b**2 - 12*b**4 in the form j + p*b + n*b**4 + d*b**3 + k*b**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + 4*v + 26. What is i(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 0. Suppose 25 = 5*c - p*c. Let f = 20 - 20. Sort f, 4, c in decreasing order.\nAnswer: c, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229816900 to the power of 1\/3, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 241332 (base 8) in base 12?\nAnswer: 3b9b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 110, 241, 424, 659?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 2*d + 0)*(-d**2 - 138865*d + 69*d**3 + 138865*d + 2) to p*d**2 + q*d**3 + x + h*d**4 + c*d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 7. What is w(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(168\/16 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -d5ccdb (base 15) to base 16\nAnswer: -9b2856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 972 - 1091. Do r and -120 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (943 - 0) + ((-10)\/(-35))\/((-23)\/483) is divided by 135.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 21124606?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013331 to 5 dps.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let l(v) = -46040*v**2 - 135. What is f(l(p))?\nAnswer: 92080*p**2 + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.061 + 0.061. Let g = o + 33. Let z = -2.5 + 2. Which is the closest to 0.1? (a) g (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192\/5 bigger than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + w**3 + 1 + 2 - w**3 - 2 + (-3*w**2 - w**2 + 2*w**2)*(0*w + w + 0*w) - w**2 - w**3 + w**2 + (0*w + 6*w - 4*w)*(-4*w**2 - 15*w**2 + 2*w**2).\nAnswer: -37*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-4))\/(20\/18 - 1). Suppose 8*b - g*b + 105 = 0. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68033 + -68033.38047. Round v to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -849 - -848.8. Put 2, -1\/14, d, -1 in descending order.\nAnswer: 2, -1\/14, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 2 - 5*x + 13*x)*(0*x**4 + 7*x**4 - 3*x**4).\nAnswer: 4*x**5 - 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from usuvuvvuuusuwuuqug?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -983, -2073, -3269, -4571?\n\"Answer: -53*p**2 - 931*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019095433 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (825*n + 2247 - 84*n - 2247)*(-2*n + 4 + 5*n - 2 + 2*n + 0*n - 3*n + (n - 3*n + 4*n)*(1 + 3 - 5) - 1 + 1 + 2*n) to c*n + d + s*n**2 and give s.\nAnswer: 1482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j**4 - 7*j**3 - 7*j + 9. Let g(v) = -11*v**4 - 5*v**3 - 5*v + 6. Let n(x) = 7*g(x) - 5*l(x). Differentiate n(c) wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 9:14 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31356 - -31492. Calculate the remainder when 188 is divided by u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**6 - 78*s**5 + 3*s**2 + 32?\nAnswer: -240*s**3 - 4680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -28*y + 20. Let w be k(-5). Suppose -3*q - w = -8*q. What is the greatest common divisor of q and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*y + 22 = -i, -3*i + 14 = y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*n + 21 = -3, 0 = -4*c - 7*n + 3*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1475 and 1062.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 5:19 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0718162 rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3081 is divided by 333?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-672)*(-2 + 86)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 - 1523*m + 764*m + 759*m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103329754?\nAnswer: 2, 11, 23, 53, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5 (c) -1\/5 (d) -102 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*c*f**2 - 69*c*f + 1334890*c + f**3 - 2 wrt f.\nAnswer: 282*c*f - 69*c + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 56170 - 56158 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:05 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0 + 0 + 5 - 2*p).\nAnswer: -4*p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let b be (-234)\/(-135) - (-4)\/(-10). What is w in 0 - b*w**p + 2\/3*w = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (8\/32)\/(2\/4128) and 688.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20 and 12\/27*765\/(-48)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4650908044?\nAnswer: 2, 4547, 255713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c**4 + 32272*c**3\/3 - 8039186*c**2\/9 - 16369972*c\/9 - 8233682\/9 = 0. What is c?\nAnswer: -1, 2029\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 7. Solve y - 4*y = -a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764.6368 rounded to zero decimal places?\nAnswer: 5765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30863\/(-7)*-1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110010000 - 21101?\nAnswer: -110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 99\/((-501)\/(-246) - (6 - 4)). Suppose 5*g = g + 3*p + c, -2035 = -3*g + 5*p. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -69, -96, -139, -204, -297, -424, -591, -804?\n\"Answer: -k**3 - 2*k**2 - 14*k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21362, 85430, 192206, 341690?\n\"Answer: 21354*h**2 + 6*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379345*d - 379339*d = -156 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5280 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000363327553 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -73325.658 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1573) + sqrt(1573) - (1 + sqrt(1872))**2.\nAnswer: -1873 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 1221\/(-24) - 4. Let b = r - 53. Sort 5, -14, b, -4 in descending order.\nAnswer: 5, b, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.995169 - -226\nAnswer: 229.995169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4535256*k**5 - 2*k**4 - 3*k**3 + 262*k**2 - 7216 wrt k.\nAnswer: -272115360*k**2 - 48*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7990907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -5*m**2 + 3*m + 0 + 0*m**5 - 19\/30*m**6 + 0*m**4 + 0*m**3. Differentiate s(o) wrt o.\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 5*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Let i(a) = 2*a + 1. Let h be i(z). Let n(r) = 4*r**2 + 1. Give n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/((f\/(f**(-2\/5)\/f))\/f)*(((f**5*f)\/f*f)\/f*f)\/f**(-3) assuming f is positive.\nAnswer: f**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 1 + 0*r + 1\/2*r**2. Let n be x(3). Solve 2*i - 4 = 5*h, 0 = 5*i + n*h - 2*h + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 450.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**8\/2240 - z**7\/1680 + 10*z**3\/3 - 3. Let o(s) be the third derivative of u(s). Solve o(w) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**2 + 15. Let i be 404\/(-12) - (-4)\/6. Let v(u) = -4 + 2*u**2 + 11 - 4. Let n(z) = i*v(z) + 6*c(z). What is the first derivative of n(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 8. Suppose 3*x - 27 + 9 = 0. Let j be l(x). Solve -o + j*o - 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 18*a + 20. Let n be (3\/9)\/((a\/24)\/5). Solve -z + 3*h = 2*h, -z + n = -5*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0 + 0 - s + 4*s. Let k(q) be the second derivative of q**4\/12 - 2*q. Calculate h(k(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 8 = -2*l + 5*u, -l + 10 = u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171341207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 2. Let m(y) be the third derivative of 0*y - 1\/2*y**3 - y**2 + 1\/12*y**4 + 0. Determine 3*l(i) + 2*m(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -9, -5, 6, 2, -4, -3 in ascending order.\nAnswer: -9, -5, -4, -3, 2, 6, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.98 + 0.02. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 9972861.\nAnswer: 37\/9972861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 7*i**2 - 14*i + 8.\nAnswer: -(i - 4)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwctcncwcc. What is prob of picking 1 c and 1 n?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34489 and 875.\nAnswer: 4311125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**3 - 3*q**2 + 4. Calculate k(-3).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**2 - 2*z**2 + 4*z**2 as u*z**2 + v + n*z and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(10*i**2 + i**2 - 16*i**2) to x*i**2 + j*i + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174532 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16009 - 4?\nAnswer: -1600d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4724107, -4724112, -4724117, -4724122, -4724127, -4724132?\n\"Answer: -5*b - 4724102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 40*g**3 + 7*g**3)*(-1 - 166*g + 156*g - 1).\nAnswer: -450*g**4 - 90*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -27746084.\nAnswer: 1\/27746084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/160*10)\/(9\/(-1)) and (-64)\/(-6)*(-21)\/(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 6*t**2 + 3*t + 9. What is the units digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/686)\/(3\/21*-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + r**2 - 3*r - 5. Let p be d(-2). Let z = p - 1. Suppose 7 = -3*g - 4*j - 0*j, -3*g + 1 = 2*j. Put 5, z, g in ascending order.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s. Let v(t) be the third derivative of 0 + 0*t**3 + 0*t + 1\/24*t**4 - 2*t**2. Calculate v(i(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*c - 11. Let d be (-12)\/10*(-20)\/c. Let l = d + 11. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*j - 72 = 0, 3*j - 7*j = 5*z - 360. Suppose 57*b + 12105 = z*b. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**3 - z**2 - 9*z + 2. Let h be t(-7). Suppose 2*p - 793 = -w + 36, 5*p + 3*w = h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + h + 3*h = 19, 28 = 4*i + 4*h. Factor -2*w**i + 11*w**3 - 4*w**3 - 30*w + w**2 + 4*w**2.\nAnswer: 5*w*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51052.9 rounded to the nearest 10?\nAnswer: -51050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 17*h**3 + 2517*h**2 + 145*h - 310. Determine o(-148).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16986150 divided by 6\nAnswer: 2831025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387861?\nAnswer: 3, 129287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3. Let m be f(-1). Let v be (-1)\/((-140)\/(-36) + -4). Calculate the greatest common factor of m and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 - 5091*t**2 + 5091*t**2 - 20*t to b*t + d*t**2 + c + p*t**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 98910\nAnswer: -1\/49455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -45*a**2 - 12*a + 272. Let p(z) = 67*z**2 + 19*z - 408. Let g(f) = -8*m(f) - 5*p(f). What is the first derivative of g(t) wrt t?\nAnswer: 50*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/17172 and 197\/390.\nAnswer: 1116180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 14872 = -9*l. What are the prime factors of l?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 342171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7714, -1\/3, -4, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*j + 19768 = 235*j. What is the remainder when j is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 133\/285 + 44\/(-55). Put 0, -0.2, 0.06, f, -5 in ascending order.\nAnswer: -5, f, -0.2, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l = -32*l + 5*g + 4292, 5*g + 2146 = 2*l. What is the greatest common divisor of l and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/320 and 7\/160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g**2 - 579*g - 436. Let y be s(49). Solve 5*l + 2*d - 5*d = 3, y = -2*l - 5*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u**3 + 14*u**2 - 56*u + 2. Let k(f) = 44*f**3 + 51*f**2 - 166*f + 7. Give -2*k(o) + 7*s(o).\nAnswer: 17*o**3 - 4*o**2 - 60*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486727566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-10)\/(-6)) - 14. Let x be v\/(33\/(-18)) - 3. Suppose 0 = -3*k + 2*n - 0*n + 11, -x*k = -4*n - 7. Solve -3*f = -k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**3 + 2*h - 1. Let y be t(1). Let c(a) = -4*a**3 - 5*a**2 + 5. Let j(d) = -16 - 6*d**3 + 0*d**3 + 23 - 7*d**2. Calculate y*c(s) - 5*j(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*f - 56 = 0, -88*f = -87*f + 4. Solve -t = g*t - 10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 2, a: 7, z: 8}. What is prob of sequence zzzd?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3692 divided by -142?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1864621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423507609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257103 - 14?\nAnswer: 257078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6325040 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c = -1731 + 618 + 677 + 588 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 l when four letters picked without replacement from sslsrkl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14243\/13 + 1095. Let u = t - 205\/26. Calculate the common denominator of u and 0 - (-2 + (-146)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8170 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 12*i + 13. Let s be k(9). Let q = s + 15. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/140 + -1*1988\/49.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Round -39070 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, 7, -28.\nAnswer: -28, 0, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1031*b - 35. List the prime factors of h(2).\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -7*k - 126. What is the remainder when 503 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 2:50 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 16*b + 102. Let y = 1 + b. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134077049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 6*b**2 + 5*b - 2. Let f be n(-5). Let u = 2 - f. Suppose -t = -u - 2. Solve -s + 4*l = -t*s - 45, -4*l = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 - 48*i - 29. Let y be z(-11). Let r(u) = 2*u**2 - 2*u - 2. Let s be r(2). Solve y = s*d + d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*g + 4*q, q - 6 = -g + 2*q. Let d(j) = -j + j**2 - 4*j + g*j. Let l(v) = 2*v**2. What is d(l(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -719625.\nAnswer: -719624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3868181 is divided by 620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -10. Let q = -74 + g. Solve q*d - 4*s + 1 = 2, -4*d - 2*s = -16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.2 + -112104330?\nAnswer: -112104360.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5286391ug to nanograms.\nAnswer: 528.6391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 6)*(-w**3 + 6*w**3 + 3*w**3).\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(-1*(-22667)\/(-1254) - -18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyey. Give prob of sequence yd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 314993 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 24*t + 4. Calculate the remainder when z(6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779785520.\nAnswer: 2, 5, 2543, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.006 and 2.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w*w**2*w*w))**(1\/16)*w\/w**(2\/5)*w*w*w**(-4\/7) assuming w is positive.\nAnswer: w**(463\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 29540)\/((-63)\/(-34440)). Round v to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1110*m - 8203. What is r(-7)?\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -210985\/154 + 1370. What is the common denominator of 21\/20 and o?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, 212 in ascending order.\nAnswer: 0.3, 0.4, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:20 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19 = -237. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 9*h + 5 - 1\/2*h**2. Calculate r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 14*q + 26. Let s be a(12). Solve 5*x + 9 = w, -2*w + 8 = -4*x + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324 by 36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2941 divide 651493103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14030487 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-2\/9)))\/o*o*o\/((o\/(o*o*o\/((o**(-3\/4)\/o)\/o)))\/o))**(4\/13)\/((o**(-1))**(5\/6)*o*o**(-3\/2)*o*o*o\/o**1) assuming o is positive.\nAnswer: o**(137\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**15\/(w**17\/w*w)*(w\/(w\/w**6))\/w*w*w*(w\/(w*w**(-10)))\/w assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 17.3. Let m = -9 - a. Let y = -23.6 + 19.6. What is the biggest value in 4, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*c - 13 = 0, -5*v - 3*c - 5 = c. Let l be ((-1)\/3)\/(2\/6). Let d = l - -2. Solve -2*b + 16 = -v*u, -5*u - d = 4*b - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -1.21, 0.01?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 24\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112660.21 or -7\/6?\nAnswer: -112660.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1619*t + 6. Let y(u) = 1629*u - 5. Calculate 4*i(j) + 5*y(j).\nAnswer: 1669*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5628 and 2814?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 132516544.48 to the nearest 100000.\nAnswer: 132500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 34*x + 457. Let f be p(-13). Let t(a) = a**2 - 14*a - 9. Calculate t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - 6*f**3 - 6*f**3 - f**3 - f**2 + f**2 + (0*f**3 - 2*f**3 + 0*f**3)*(2 + 2 - 2).\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 33*o - 21. Let k(n) = -8*n + 1. Let m(q) = 16*q. Let g(l) = -5*k(l) - 2*m(l). Give 5*d(v) - 21*g(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 3\/2*h**2 + 3*h + 1\/20*h**5 + 0 - 1\/24*h**4 - 1\/120*h**6 + 1\/2*h**3. Let b(q) be the first derivative of v(q). Give b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937.\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.06 + -0.3?\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -66\/195079 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*((-147)\/35 + 1) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290363607 take away -2.739?\nAnswer: 290363609.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 4:04 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {l: 6, r: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = p - 28, 2*w + 11*p = 14*p - 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*b - 184*b + 92*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = 16 + 44. Let y(b) = 11*b**3 - 4*b**2 - 4*b. Let o(r) = -12*r**3 + 5*r**2 + 5*r. Calculate g*o(l) - 5*y(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrarrarrar. Give prob of picking 1 r and 2 a.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132\/(-363)*11\/(-2). Suppose -2*z - 5325 = -5*n, 7*z - 4293 = -4*n + y*z. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 46 + 1 + (1 + 4 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 - 4010*j\/7 + 1148.\nAnswer: -2*(j - 2)*(2*j + 2009)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 115, -4.3?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 576718280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 5. Let w be m(5). Solve 2*i + l = 6*l + w, 5*l + 5 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11073*m - 76916. Calculate o(-7).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 31, 5 in increasing order.\nAnswer: -2, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose 4*j + 11 = 39. Solve -2*u - 3 = a, 0 = -3*u - a - j - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 4 - 22 - (-7 + -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47681797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-6 - -11) + -5 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*l - 16, 0 = 2*l - 2*n + 3*n - 7. Solve l = -2*q - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/(-10))\/(3\/(-4)). Does 67 divide (-268)\/(w - (-52)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143, -624, -1505, -2792, -4491, -6608, -9149?\n\"Answer: -p**3 - 194*p**2 + 108*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113600381 a multiple of 2338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1227*w + 9599 + 9607 - 19203)*(1 + 2*w - 1).\nAnswer: 2454*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 96\/(-448). What is the nearest to 3\/2 in l, 0.2, -3, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-30) + (-59)\/(-295)*478\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmttipimit. What is prob of sequence mtt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/9)*c**(-4))\/(c**(-1))**(-2\/141))\/((((c\/c**(-1\/6)*c)\/c)\/c*(c\/(c**(-5)\/c)*c)\/c)\/(c**(5\/3)*c**0*c)) assuming c is positive.\nAnswer: c**(-6545\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**2 + 1 + 2*i - 4*i**2 + 5*i**2 + 4*i**2. Let z be f(-1). Let d = -1 + z. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-24)\/(m**(-21)\/m))\/((m\/(m**(-4\/7)\/m)*m)\/(m*((m\/m**(-2\/5))\/m*m)\/m)) assuming m is positive.\nAnswer: m**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*l + 9, 2*l = 4*c - 0 - 2. Suppose c*k + 13 = 3. Let g(z) = z**3 + 6*z**2 + 3*z - 3. Calculate g(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 1.42\nAnswer: 12.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 - -173. Let c(i) = i**2 + 2*i. Let x be c(-2). Let u = x + d. Which is bigger: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 89, 180?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.041, 3, -11\/13 in decreasing order.\nAnswer: 3, 0.041, -11\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*14\/(-2)*1\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gqpqqqqgp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojpjjooggptt. Give prob of sequence jpt.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4370)\/(-950))\/(-3*(-4)\/(-48)*-4)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 38. Let k = -23 - s. Is (-3549)\/(-28) - 2*k\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140 and -11.22809.\nAnswer: 128.77191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, v: 2, n: 2, r: 4}. Give prob of picking 1 v, 1 n, and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*x - 5*s, -6*x + x = -2*s + 2. Let c = 45\/58 - 4069\/5394. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-21)\/(u**4*u\/(u\/(u\/(((u**2*u)\/u)\/u))))*((u**1*u)**20)**(4\/27) assuming u is positive.\nAnswer: u**(52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 799 - 65940.69\nAnswer: -65141.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/((-3)\/(-36)). Let x be (-3)\/(-18) + (-22)\/d. Suppose -2*g - 6 = l, 162*l - 25 = 157*l + g. Solve 4*u - a + 21 = 5, x*u = -l*a + 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40.1 and -18.54?\nAnswer: 21.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197984.\nAnswer: 2, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153030315 + -1?\nAnswer: 153030314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:32 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 2, q: 1, f: 3}. What is prob of picking 1 q, 2 x, and 1 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3 - 2. Suppose v - 55 = 6*v. Let r be 22000\/(q\/(1 + v)). Round r to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 16) in base 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 1207 + 1193. Does 75 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 12. Let c be m(10). Let o = 53 + c. Suppose -2*k + o = k. Put -3\/5, 2, k in ascending order.\nAnswer: -3\/5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 5*l - 780 = 13*l. Calculate the greatest common factor of 7485 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7323504 divided by 542?\nAnswer: -13512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.505145 to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158270 is divided by 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 6*d = -60. Solve -t - 5*b = 24, -3*b = -d*t - 4*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.91 - 13.1.\nAnswer: -11.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13679111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*q = -3048 + 241 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.071 and 0.341.\nAnswer: 0.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 9) in base 6?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -214 + 142. Let w be 0*((-9)\/o)\/((-2)\/2). Suppose w*x**3 + 0 + x**2 - x**4 + 1\/2*x - 1\/2*x**5 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15894 is divided by 371.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22421023 (base 5) to base 4.\nAnswer: 301022230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50930\/377 + 375503\/1131. Let z = d + -467. Calculate the common denominator of z and 31\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70273426.\nAnswer: 2, 41, 856993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*k = 1 + 2, -4*r - 1 = -3*k. Let o(u) = u**2 + 8*u + 4. Let a be o(-7). Let p = r - a. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 5*m + 33*m**3 - 32*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3140 and 297876885.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 854103, 854130, 854157, 854184, 854211, 854238?\nAnswer: 854265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(66))\/(sqrt(24) + -2*sqrt(24)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f - 3*p - 3, 0 = 3*p + 12. Let b(l) = l**2 + 3*l - 5. Let t be b(-4). Let u be 0 + (t - 0) - -2. Solve -2*r + u = -f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i**3 - 16*i - 267. Let j(r) = -35*r**3 - 32*r - 535. Let p(w) = 3*j(w) - 5*o(w). Find the first derivative of p(u) wrt u.\nAnswer: -45*u**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 20*a**2 - a + 20. Let c be 2\/(24\/(-9)) - 269\/4. Let h = -48 - c. Let r be j(h). Solve 4 = -4*n - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55918?\nAnswer: 2, 73, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 361*o**2 - 43*o - 15521. Determine m(-361).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 911943.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*l - v + 136, 2*v = -l - 34. Let j be l\/(-3)*21\/14. Find the third derivative of 10*a**4 + 12*a**3 - 2*a**2 + j*a**4 - 12*a**3 wrt a.\nAnswer: 648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = 8. Suppose -3*t + 83 = g, -316 = -l*g - 7*t + 3*t. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2662470 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) + sqrt(88)*-2)*3 - (sqrt(88) - -1*sqrt(88)*4))\/(-3*sqrt(72) + -1*sqrt(648)).\nAnswer: 7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -307 - 148. Let c = b - 70. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/2)\/((-4)\/16232). Suppose 4*a + v = -1705217. Round a to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.13, -7 in descending order.\nAnswer: 4, -0.13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31458.39ug?\nAnswer: 31.45839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -9\/2*u**4 - 53 - 74*u + 0*u**2 + 0*u**3. What is the first derivative of a(o) wrt o?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 16*h**2 + 38*h + 11. What is x(14)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:05 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 - 114*y**2 + 2304*y + 57344 = 0.\nAnswer: -14, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(180) + sqrt(180)*-2 + 1 + sqrt(180)*1 + -4 + 5 + -1*sqrt(180) + -2)**2.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 12 = 2*k, k + 5*j + 1 = -25. Let s(f) = 2*f**2 - f - 3. Let v be s(-5). Suppose 5*t - 3*n = 82, t + 2*t = -n + v. Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) + (-583)\/44. Let p = h - -18. Suppose -p*n = 8 - 53. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77650299091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400 + -3344103?\nAnswer: -3400003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*s + 2 + 52*s - 2 + 33*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2879 is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250223 + 1?\nAnswer: -250222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.043 - -0.273. Let p = z + 0.49. What is p rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 110. Let t be 6\/9*i*15\/10. Suppose t*p + w - 8 = 0, 5*p = 6*p - w - 8. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 715 - 715.1. Which is the second biggest value? (a) 59 (b) f (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 2, k: 1, t: 8, d: 4}. What is prob of picking 2 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 13*n**2 - n + 15. Let w be f(13). Suppose -3*h - 13 = -a, 2*a - w*h = 13 + 1. Let q be a\/14 + 12\/(-42). Solve -4*u + q*u - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*y**2 + 37*y**2 - 3*y**2.\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-10) + 10)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 882 and 27.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = n. Put n, 1, -4 in ascending order.\nAnswer: n, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {e: 5, y: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/6)*(d**(-22)\/d*d*d*d)\/d*(d\/(d*d*d**(3\/19)*d))\/d*d**(5\/4) assuming d is positive.\nAnswer: d**(-5033\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -421401 (base 7) to base 14\nAnswer: -1c638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(72) + 6*(sqrt(72) - (sqrt(72) + 0) - sqrt(72)) + sqrt(72)*-2*6)**2 - (-5*((sqrt(72) + (sqrt(72) - sqrt(72)*-1) - sqrt(72)) + -2))**2)*6.\nAnswer: -243144 - 21600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221 and 130.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 25. Find the common denominator of 87\/14 and (h\/(-60))\/(22\/(-582)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -11. Suppose -4*a - 26 = h - g, -a + 1 = 2*h. What are the prime factors of (h - -3)\/((-2)\/(-2))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -30, -160, -416, -840, -1474, -2360?\nAnswer: -3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m - 8. Let x be 3\/((-9)\/6) - -6. Let z be -3*x\/30*-40. Suppose -32 = -5*c + k, -3*c + 3*k + z = -8. Determine b(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*y + 18 = 0, 2*l = -y + 4*y - 9. Solve 4*g = -2*b + 8, -l*b + 16 = 2*g - 8*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 529*f - 33 = -532*f, -2*f + 12 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638214?\nAnswer: 2, 3, 17, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033 (base 7) in base 10?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 - 5*c - 4. Let q be f(6). Find s, given that 0 + 1\/4*s**3 - 1\/4*s + 0*s**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*17\/51*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109711732437 + 0.1.\nAnswer: -109711732436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from {v: 2, f: 9, j: 2}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - 0.1. Let y = -2 - w. Let z = 7 + -12. Are z and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 + 181. Suppose -a - 2*a + x*t + 6 = 0, -2*t + 1 = -a. Let v(d) = 2*d**3 - 4*d**2 + 2*d + 1. Let o be v(2). Solve 0 = o*g + a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.518 * 0.3\nAnswer: -0.1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 574 - 577. Which is the smallest value? (a) o (b) -5 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + p - 2 + 4 = 0, 4*d - p = -18. Let l(f) = f + 15. Let i be l(-14). Put -2, i, d in descending order.\nAnswer: i, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - -6*(-5)\/(-20). Let r(b) = -b - 1 - 4*b**3 + q*b - 4*b**3 - 4*b**3. Calculate r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*u - 10 = 0, -m - 12 = 3*u - 2. Suppose m*p = 4*i - 11, 3 - 6 = -3*p. Solve 12 = -i*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 10\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (10 - 4) - 2 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6752903 is divided by 2163?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460727211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1120*b**2*l**4 - 2451*b**2*l**3 + 4*b**2 + 60620*b*l**2 wrt l?\nAnswer: -26880*b**2*l - 14706*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.4882875566 - 1.2.\nAnswer: 13.2882875566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 1. Let j be p(-1). Let m = 235 + -231. What is the units digit of (1 - 2\/m)\/(j\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-245)\/(-20) - 3\/(-4). Suppose 47 = 5*n + k - 42, n - k = b. Calculate the greatest common factor of 51 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and 0.08.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 8 + (0 + -4)\/1. Sort -0.5, -118, -1, u.\nAnswer: -118, u, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2908459155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 - 344*g**2 - 1678*g - 1336 = 0 for g.\nAnswer: -167, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -5573 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-3)\/j))**(4\/21)*(j*j\/j**(-1\/2))**(1\/27))**(42\/13) assuming j is positive.\nAnswer: j**(395\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188577891*b + 189657276?\nAnswer: 188577891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 147*p**2 + 81*p - 605. Is f(-76) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1\/3, -11, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 3*d - 6. Let v be y(-6). Suppose -w + v = w. Let p(h) = -h**2 - 16*h - 49. Let i be p(-5). Calculate the highest common divisor of w and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/10590*(-6 - 9). Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-1404))\/(((-44)\/(-3))\/(-11))*(-8)\/(-22)?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-308)\/88*((-24)\/(-9))\/(-4). What is the closest to -2\/3 in 1, 13, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*o**3*t - 1467*o**3 - 7*o**2*t**2 wrt t?\nAnswer: 18*o**3 - 14*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9186.\nAnswer: 2, 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -235780.2000008 - -235780. Let o = m + 0.2. Round o to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20020)\/11550)\/(2\/5)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6072\/(-16005) - 28\/1358?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017906125 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2934 + -1569. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o - 6*o. What are the prime factors of (-1)\/((-25)\/8 - o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 67.8, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -77. Solve -h*z - 1 + 11 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 190 = -7*c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p. Let b(y) = 25*y + 18. Let s(f) = 40*f + 4. Let j(i) = b(i) - 4*s(i). Determine j(u(c)).\nAnswer: -1215*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1618 + 883 - 2211 = -114*t + 702 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1153 or -1\/2?\nAnswer: 5\/1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**6 + 0*w**4 + 0*w**3 + 0*w - 16*w**2 + 13\/350*w**7 - 1\/75*w**5 - 1\/48*w**8 + 0. Determine g, given that j(g) = 0.\nAnswer: -2\/7, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(7) - (sqrt(84) + sqrt(84)*-2)\/sqrt(12))*6.\nAnswer: -12*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4508, -4566, -4662, -4796, -4968?\nAnswer: -5178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 17*l**2 + 20*l + 7. Let f be x(18). Let h = f - 43. Suppose -4*w + h*w = -228. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -53. Suppose -18*f + 21*f - 9 = b. Suppose -q + l = q - 35, 4*l - 80 = -f*q. What is the highest common divisor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 - 2*a**2 - 3*a - 7. Let u be z(-5). Is u\/(9\/(135\/(-6))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3405599510.\nAnswer: 2, 5, 37, 421, 21863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g - 4*i + 66, 0 = g - 5*i - 12. Let q = g + -1. Calculate the greatest common factor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-1824))\/((-265)\/(-4240)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9*h + 162 = 0. Let x = h + 26. Does 18 divide (x*2)\/(362\/(-180) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/7 (b) 6\/7 (c) 5 (d) 1\/4 (e) -7 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20\/31 + -3579\/310. Let d = 1138507\/319 + -3569. Let p = d + -28957\/5742. What is the common denominator of p and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 2. Let n(t) = -t - 4. Let b(d) = -d**3 + 5*d**2 + 6*d. Let a be b(6). Let p be n(a). Give h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lejesllews. What is prob of picking 1 s, 1 l, and 1 e?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 + 63*o**4 + 332*o**3 + 123*o**2 - 1360*o - 1500 = 0. What is o?\nAnswer: -25, -5, -2, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14*u + 14*u + 12*u - 47*u + 16*u. Let n be x(0). Solve -c + 5*o + 21 = 0, -4*c = -n*o - 3*o - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and 343.\nAnswer: 342.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 812*d**3 - 31440*d**2 + 1035776*d - 1003520 = 0. Calculate d.\nAnswer: -112, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*o + 45 + 5 = -2*j + 307, -5*j + 2*o + 186 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(-7)*1)\/1*1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 837 + -810. Suppose -w*x + 60 = -21*x. Solve -x*r = -3*r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 21*h + 45. Let u be k(-2). Suppose -w = -5, -10*w = -4*r - u*w + 289. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1130466847 to the nearest integer?\nAnswer: 33622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/4 + 3838520*m + 14734235790400 = 0 for m.\nAnswer: -7677040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34221965 + 34128790.146. Let n = r - -93272. Let x = -97 + n. Round x to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-28)*(-180)\/27. Solve 0 = 3*p - 3*b + q, 0 = -5*p - b - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - (-5)\/(-15 - -5). Round j to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215022 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y. Let z(p) = 2*p**2. Let h(o) = 3*w(o) - 2*z(o). Let k be h(-3). Which is greater: -3\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**(-34)\/(l**3\/(l*l\/(l*l**(4\/9)\/l))))**12 assuming l is positive.\nAnswer: l**(-2500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188916 and 91344?\nAnswer: 8312304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 106 (b) -8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -28*r + 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 4*f - 5. Let v(a) = 6*a**2 - 9*a - 11. Let z(n) = 13*j(n) - 6*v(n). Let q(w) = w**2 + 2*w + 2. Let i be q(-2). Is 17 a factor of z(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15453210 + 0?\nAnswer: 15453210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.961 - 25.949. Round g to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.110645 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 25 + 21)*(0*k**4 + 4*k**4 - 3*k**4).\nAnswer: 33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-5 + 5 - 6*d)*(0*d**3 + 0*d**3 - d**4).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 51084.371?\nAnswer: 153253.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*z = 43 - 61, 3*j = 3*z. Solve 2*l - 5 = 3*c, -3*c - 5*l = 1 - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211000010 (base 3) to base 5.\nAnswer: 3233112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/6 - 1701*z - 8680203\/2 = 0.\nAnswer: -5103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28417*o**2*s + 2*o*s - o - 1835*s + 2 wrt o.\nAnswer: -56834*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from cqvvqvvqvzpccv.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 2*u + 17 = 30*w, u = 4*w + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let i(f) = 3*f - 2. Let k(x) = -3*i(x) + 5*u(x). Let h be (-4)\/18 + (-395)\/45. What is the tens digit of k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v + 4. Suppose -v*a = -d - 0*d - 12, 20 = 5*a. Is 3 a factor of ((-150)\/35 - d) + (-102)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7071199?\nAnswer: 7071199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909 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 a(i) = -3772*i**3 - 13*i**2 - 10*i + 2. What are the prime factors of a(-1)?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 0, -186, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-3577)\/(-245))\/73)\/(2\/170)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.81? (a) -1\/4 (b) -0.2 (c) -0.025 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28)*-4 + -3 + 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -44 + (-26 - (-14 - 25)) + (-5 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1125, 9068, 30629, 72618, 141845, 245120?\n\"Answer: 1135*g**3 - g**2 + g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(5\/1)\/5 + 5. Let b(c) be the first derivative of 0*c**3 - 3\/4*c**4 + c**2 + l + 0*c. Find the second derivative of b(g) wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 13*l - 20. Let v(u) = -1 + 2*u + l*u**2 + 2*u + u**3 - 4*u**2 - 7*u. Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-7) - (-2)\/7. Let f(l) = 4*l**h + 2 - 6*l**2 + 3*l**2. Let v be 1 + (-222)\/78 - (-2)\/(-13). Determine f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -59. Let g(l) = l**3 + 3*l**2 - 7*l - 6. Let m be g(h). What is the units digit of ((-38)\/m - -1)*(-6 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3361619\/32384 + 39\/2944. Is j > 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/9, 0.22, -152, -1, 0, 3?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869 is divided by 989.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 22 = 2*b. Let r = b - 9. Solve 0 = -0*n - r*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1*(-2)\/(-3). Suppose 0 = -5*f + k*f + 9. Let l(i) = -f*i**3 + 34*i**2 + 2*i**3 - 3 - i - 42*i**2. Determine l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((30\/75)\/((-54)\/(-45)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26831760 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78598.12 micrograms to kilograms.\nAnswer: 0.00007859812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - 20*q**2 + 298*q - 451. Determine i(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**2 + 6*u + 119. Let f(j) = -j. Determine f(y(z)).\nAnswer: -4*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen fifths of a tonne?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 822049242*g + 56313746356064547.\nAnswer: 3*(g + 137008207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 - (-19)\/19\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69176 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 324950480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(988\/1045)*(-12)\/8*4\/6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t**3 - 336*t**3 - 4*t + 103*t**2 + 279*t**3.\nAnswer: -2*t**3 + 103*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -112c?\nAnswer: -112d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -34, -71, -100?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let f be ((-16)\/(-6))\/(a\/9). Is -2*(-2)\/(f\/4666) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1494143165 to the nearest integer?\nAnswer: 38654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 149 = 3*q, j = -q - 4*j + 43. Calculate the greatest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -c + 4*h, 136*c - 5 = 133*c + h + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1436\/3 + 486. Let f = 50840\/9 - 5651. Find the common denominator of z and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1023\/15 + (-2)\/10. Suppose 11*j - h = 10*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 0*r - 5*r - 22, v = 2*r + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 101*r + 229. Determine f(48).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 + 315*n**3 - 66150*n**2 + 4630500*n.\nAnswer: -n*(n - 210)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = 2*c, 3*g - 5*c - 11 = -4*c. Suppose 0 = 2*n + a - 2, -g*n - 3*a + 6 = n. Suppose -3*h + n*h = -6. Solve -h + 5 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22252663241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 123*m - 110*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in -334\/3, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -21. Let o(j) = 1 - 7*j + 10*j + g*j + 0. Let i = 0 + -1. Determine o(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338988054.\nAnswer: 2, 3, 151, 374159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = b, -5*u - 5*b - 8 + 3 = 0. What is the tens digit of (4 - u) + -1 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**4 + l**2 + 2*l. Let s(p) = -p**4 + 2*p**3 - p**2 - 4*p + 55. Let h(r) = 2*o(r) + s(r). Find the third derivative of h(t) wrt t.\nAnswer: 24*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 3271137?\nAnswer: 3271121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f + 4*c - 7*c, -5*c = 2*f - 3. Suppose -1379 = -23*n - 1448. Sort 7, n, 1, f in decreasing order.\nAnswer: 7, f, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133015122?\nAnswer: 2, 3613, 156797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.968 + -0.032. Let j = -54 - c. Let v = 336 + -1682\/5. Sort v, j, -2 in decreasing order.\nAnswer: v, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-140))\/(23\/621))\/(9\/12)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 41*s**2 - 43*s - 99. Calculate m(-42).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Let x = s + -1. What is the second derivative of -8*t**x + 5*t**4 + 0*t + 2*t wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6*l**4\/5 + 2131*l**3\/5 - 27163*l**2\/5 + 49612*l\/5 - 7524\/5 = 0.\nAnswer: 1\/6, 2, 11, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4070 > -4071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (5 - (21 - 3)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*f + 83*f = -9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -93 + 29. Suppose l = w - 4*m, 0 = -0*w - w - 5*m + 41. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q. Let g(r) = 157769*r**2. What is g(f(z))?\nAnswer: 22718736*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*k**3 - 28*k**3 + 13*k**3 - 33*k**3.\nAnswer: -85*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 17*q**2 + 5*q - 41. Let v be j(17). Suppose 2*h + v = 3*r, 7 = -2*r - h + 34. Calculate the remainder when 68 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjbjjjbbjbjj. Give prob of sequence bjbb.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 5*d**3 + 110*d**2 + 200*d.\nAnswer: -5*d*(d - 5)*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120594 = 2*n - 4*o, 58919 = n + 5*o - 1364. What are the prime factors of n?\nAnswer: 60293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:51 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s + 177. Give g(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 996571 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1 - 4409*z**2 + 4396*z**2 + 1. Let j(a) = -17*a**2. Give l(j(i)).\nAnswer: -3757*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -557\/3. What is the closest to x in -1\/4, -6, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/7 + 17942989*n\/7 + 17942990\/7 = 0.\nAnswer: -1, 17942990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -49 (c) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*f - 318*f + 639*f + 209*f**3 - 3*f**3 - 24*f**2.\nAnswer: 206*f**3 - 24*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*f**2\/2 - 48775409*f\/2 - 541949.\nAnswer: (f - 1083898)*(45*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -120*f - 14. Let x(a) = 241*a + 27. Let p(n) = -5*j(n) - 2*x(n). Let c be p(-3). Let d = 273 - c. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/8*36\/10. Suppose -k - z = -2*y, 2*k - 1 - 1 = -y. Find the third derivative of 3*j**4 - 2*j**y - j**2 + 0*j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1984 + 1949 = 3*p, -5*p - 3*u - 13 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1948 and 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + (-178 - -76) + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*o**5*z - 1042660*o**4*z + 203786881*o*z wrt o?\nAnswer: -1180*o**3*z - 12511920*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -329*q**3 - 1561*q**2 + 21*q + 21. Let z(k) = 33*k**3 + 156*k**2 - 2*k - 2. Let n(t) = 2*h(t) + 21*z(t). What is the third derivative of n(a) wrt a?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m. Let x(g) be the first derivative of g**2\/2 - 8. Give x(d(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-6))\/(352\/33 - 9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -605)\/15 - 58?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -61*q. Let h(g) = 70367*g. Determine b(h(d)).\nAnswer: -4292387*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -l - 2*l + 18, -2*g - 3 = -l. Let p(q) = 58*q + 5. Let b be p(g). Let a = 63 - b. Is a <= -1\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22350 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/4)\/(6\/105*56\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*u + 170 - 70. Solve -9*y + 66 + u = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*v - o**3 + 167*o**2*v - 4*o**2 + 12*o*v + 10*o - 14*v - 1 wrt o?\nAnswer: -6*o*v - 6*o + 334*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-24) + 1)*(-80)\/(-30). Let 8\/9*r - 5\/9*r**2 + x = 0. Calculate r.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 1?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378693 is divided by 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/16 + 2 + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13 - 6 + v + 3. Let r be n(-8). What are the prime factors of r + (0 - 2) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(12)\/sqrt(3))\/sqrt(2))**2.\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven fifths of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.58? (a) -3\/7 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046601 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5984*l + 363*l - 8176*l + 3236*l.\nAnswer: -10561*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514920 to the power of 1\/2, to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from lskkylyyklyyyy.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22869876.06142 and 3?\nAnswer: 22869879.06142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -6*s + 4*i, 60*s = 55*s - 2*i + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2)*(-16)\/100)\/(13\/13).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.124 and 3.\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 34471 + 34471.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 + 5*g - 49. Let v(t) = t**2. Let i(y) = -h(y) + 6*v(y). Suppose z = 4*z - 69. Calculate the remainder when z is divided by i(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118733 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4543\/2 (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**4 + f. Let g(n) = -115*n**6 - 2*n**4 - 19*n**2 + n. Let o(d) = -g(d) + 2*l(d). Find the third derivative of o(i) wrt i.\nAnswer: 13800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1056, -2114, -3172, -4230?\nAnswer: -5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*q - 15, k = -3*q - q - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/4 and -81\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Suppose 0 = r*a - 28191 - 211809. Round a to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/297 - 18\/33\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (379\/(-2274))\/(1\/54)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(432) + 0)**2.\nAnswer: 96*sqrt(3) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 2937, 10726, 25893, 50898?\nAnswer: 88201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 128.03.\nAnswer: -256.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.93 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2. Let w(k) be the second derivative of -3*k**3\/2 - 28*k. Determine z(w(r)).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102967 is divided by 12534.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125537 - -125539. Factor -8\/11 - 40\/11*o**3 - 40\/11*o - 8\/11*o**4 - 6*o**g.\nAnswer: -2*(o + 2)**2*(2*o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -181, -127?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t. Let p(n) be the third derivative of -9*n**2 + 0*n**4 + 0*n**3 + 0*n + 0 + 1\/15*n**5. Calculate p(a(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6386*k**5 - 1013*k**4 - 137*k**2 - 2*k + 1101406 wrt k.\nAnswer: -383160*k**2 - 24312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 49. Let d(v) = -3*v. Calculate d(o(x)).\nAnswer: 3*x**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-2 + 3 + 5). Let z be -7*((-26)\/(-13))\/(n\/32). What is the highest common divisor of z and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -65297*u**2. Let p(v) = v**2. Calculate p(n(w)).\nAnswer: 4263698209*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + 63\/12. Which is the second smallest value? (a) 5\/3 (b) 3 (c) r (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-1 + (sqrt(160) - (1*sqrt(160) + sqrt(160)))\/sqrt(4))\/(2*sqrt(392) - ((sqrt(24)\/(sqrt(6)\/sqrt(2)) - sqrt(8)) + sqrt(8) - sqrt(8))).\nAnswer: -3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalaltlaaalalttatava. What is prob of sequence ava?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effiyxp. What is prob of sequence xy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.426 times 571?\nAnswer: -43068.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20239 - 20268 = x + 28*l, -6 = 3*x + 3*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 67. Calculate s(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24002, -47927, -71888, -95903, -119990, -144167, -168452, -192863?\n\"Answer: -3*r**3 - 23904*r - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*145\/58*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32072311, 64144621, 96216931?\nAnswer: 128289241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 654257919 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*o**2 + 114*o**2 - 2*o**4 + 98*o**2 + 6*o + 2*o**3 - 303*o**2 to the form u + k*o**3 + r*o**2 + f*o + n*o**4 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -2 (c) 1\/3 (d) 6 (e) -0.5 (f) -0.3559\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 1. Let x(i) = -31*i + 865. Let s be x(28). Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24787 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.56*-10.46.\nAnswer: -5.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 + 146174*t**4 - 2670489326*t**3 - 13355077878*t**2 - 18698103072*t - 8013660696 = 0. Calculate t.\nAnswer: -3, -1, 36546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6543 - -19418\/3. Let l = 71 + y. Which is the closest to l? (a) -2 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -15 (b) 1\/2 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 116 + 73 = 0. Sort 4, 5, -3, q in decreasing order.\nAnswer: q, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.2, 2\/91, 6, 4, 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.43 + -1.62. Let u = n - 0.26. Let o = u - -0.15. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 4:00 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110118 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 753 - 756. Let m = -54 - -51.95. Let p = -0.05 - m. What is the smallest value in p, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*g**3 + 0 + 15\/4*g - 37\/2*g**2 = 0. What is g?\nAnswer: -15, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7571 + -0.0511. Round x to two decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeyeyeeey.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 4}. What is prob of picking 1 d and 2 n?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485473 and 9509?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6700 + 1894. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 10936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 0*y + 0*y)*(-53 - 26 + 44 - 36).\nAnswer: -71*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/25)\/(2\/(-45)*-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 2*m - 16 = 0. Calculate the smallest common multiple of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01368 - 45.98632. Which is greater: 0.05 or j?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y - 5*y**2 - 325466*y**4 + 98 + 3*y + 323270*y**4 wrt y.\nAnswer: -52704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 6*j. Suppose 63 = 7*m - j*m. Let y be (-10 + m)*(-8)\/2. Solve y*u + 5*g - 7 = -3, u - 2*g - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59124 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.0205kg to tonnes.\nAnswer: 0.4460205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = i, 5*i - 8*i + 3*w = 0. Suppose -10*k - i*z = -11*k + 2, 0 = 5*k + 5*z - 10. Solve 7*m - k*m = 3*b + 31, 0 = 2*b + 4*m - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 474 - 113. Let m = 26.0403 + 334.9098. Let i = k - m. Round i to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 2. Let a be (-3)\/6*1*0. Suppose 4*i - 61 - 19 = a. Let x be -1*5\/(i\/8). Let z(q) = -9*q - 5. Determine x*z(p) - 5*v(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 9*w**2 + 9*w - 23. Calculate r(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/(9\/(-180)). Let s be -2*(-5)\/(-10)*0. Suppose 4*y - 437 - 427 = s. Calculate the greatest common divisor of y and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12920 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11174387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.56955162356 - 1.9\nAnswer: -5.46955162356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14628, 14729, 14804, 14841, 14828, 14753, 14604, 14369?\nAnswer: 14036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 20*m**2 - 20*m - 23. Let n be o(-19). Let g be (-7)\/n + (-33)\/44. Let a be (-126)\/10 - 6\/15. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose 47 + 9 = 4*c. Suppose b - c - 16 = g. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -19*g**3 - g**2 + 3*g + 190. Determine f(0).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -519007, -1038012, -1557017, -2076022?\n\"Answer: -519005*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7613)\/(-46) - 10\/(-4). Solve m*h = 166*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -638147 (base 9) to base 7\nAnswer: -3141451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -62. Suppose k - r - 1 = 0. Suppose 5*n = 3*c - 333, 111 = c + k*n - 0*n. List the prime factors of c.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*t - 51 = -25, 20 = 4*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - sqrt(605)*-2) - ((-1 + sqrt(567))*1 + sqrt(567)).\nAnswer: -413*sqrt(7)\/23 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 9. Let c(x) = -4*x - x - o*x + 4*x. Let y(b) = 8*b**2 + 1. Let g(i) = 13*i**2 + 2. Let a(u) = -g(u) + 2*y(u). Give a(c(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -49*x**2. Let t(g) = -965*g**2. Determine t(f(o)).\nAnswer: -2316965*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8850 = 4629*v - 4275*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 4*o + 2*o**2 - 3*o. What is the lowest common multiple of 472\/26 + 2\/(-13) and z(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 192*w**4 + w**3 + w**2 - 57*w - 686555 wrt w?\nAnswer: 768*w**3 + 3*w**2 + 2*w - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 359228452 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -173*q**2 + 27855*q - 368. Give m(161).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415, -832, -1249?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5712 + -5708. Solve -p + 3*w = d, -6*p + 10*p + 2*w = 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from fzzzzcffkkzkf.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1151\/8 + 303\/2. Let o = 1598\/1099 - 4\/157. What is the common denominator of o and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 16*o + 121. Let w = 126 - o. Solve -w*j + 12 = 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2. Let y(x) = -x - 5. Let p be (-10)\/(-35) + (-65)\/7. Let l(v) = v**2 + 9*v - 8. Let t be l(p). Let a(n) = t*b(n) - 3*y(n). Calculate a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, u: 8}. Give prob of sequence zzu.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 667.7095 millilitres?\nAnswer: 0.6677095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 - -172. What is the remainder when t is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23862 >= 884\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*p**5 + 62*p**5 - 51*p**2 - 56*p**5 wrt p.\nAnswer: 2760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-2) - (-1020)\/2610*-29\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1708\/(-8640))\/1 + (-7)\/(-35). Is a at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 18*n**2 - 17*n - 17. Let m be t(-16). Let k be 15\/9*(13 - -5). What is the common denominator of -131\/12 and (-20)\/k + m\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28797.56 centuries?\nAnswer: 34557072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 37. Let z be -6*(-1 - h\/15). Determine m so that -8*m + z*m**2 - 9*m**2 - 15*m**2 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/11, 837, -0.5 in descending order.\nAnswer: 837, 14\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(-2\/13)\/p)*p\/p**0*(p*(p*(p\/(p\/((p\/p**(-1))\/p)))\/p*p)\/p)**48 assuming p is positive.\nAnswer: p**(1302\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4 - 184*w**3 + 5254*w**2 + 295320*w + 2576025 = 0?\nAnswer: -15, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(140) + sqrt(140)*2 + sqrt(140) - sqrt(140)) - (4*(sqrt(140) - sqrt(140)*1) - sqrt(140)))\/(sqrt(20)\/(1*sqrt(196))).\nAnswer: 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -371 + -1323\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*r + 4, 4*o + 1 = 4*r + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2639541, 2639600, 2639683, 2639784, 2639897, 2640016, 2640135, 2640248?\nAnswer: 2640349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 23 = -3*u, -4*u - 16 = -9*t + 4*t. Let x(z) be the second derivative of 1\/6*z**3 - z - 1\/12*z**t + z**2 + 0. Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**3 - 357*c + 357*c + c**2 to j*c + v*c**3 + a + y*c**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -9)*1\/(-1). Let j(b) = 37*b - 1. Is 36 a factor of j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 2. Suppose h - 6*t = -2*t - 14, 0 = -3*h + 2*t - 2. Let k be p(h). Let x = -24 - -26. Solve -2*z + k = 0, 12 = -x*n + 4*z - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*h + 18 = 0, 5*a - 2*h - 14724 + 14675 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.18 and -8730.74.\nAnswer: -8730.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-147) - (-4)\/14.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 4983\/121 - 4\/22. What is the highest common factor of 384 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vld when three letters picked without replacement from {l: 1, d: 8, v: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-48))\/17 - 3\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 4. Let k(l) = -28*l - 15. Determine k(o) + 4*z(o).\nAnswer: -36*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 13 = -2*a + 5*c, a = -2*c + 7. Suppose 2*x + 2*b - 110 = 0, 2*b - 230 = -x - a*x. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, 225, 665, 1281, 2073?\nAnswer: 3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1 + -1 + sqrt(12) + 1.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10099 + -6230. Suppose 5*o + s = 2*z, -4*z + 13 = 5. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 460 = 2*p - 3*h, -3*p + 690 = -4*h. Calculate the lowest common multiple of p and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 8)*8\/6. What is the units digit of 18 + a\/(-2) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.456 - 400926303539?\nAnswer: -400926303538.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/224 and -87\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-4 - (3 - 5)). Suppose 3*v + 0 - 14 = 5*c, -2*c - 6 = -v. Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (23\/(-7) - -3) + 7885\/1064?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 23. Sort 0.2, l, 0.1 in descending order.\nAnswer: 0.2, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28696 divided by 34\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 4 + 4)*(2*d**3 - d**3 - 2*d**3) - d**5 - 2*d**5 + 5*d**5.\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 - 264*t**4 + 4135*t**3 + 15888*t**2 - 19760*t = 0 for t.\nAnswer: -4, 0, 1, 20, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 66005*d**4 + 344146189*d**3 - 452544408854*d**2 - 600575513091812*d + 150172156921480 = 0. Calculate d.\nAnswer: -785, 1\/4, 5762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose -3*n + i*n = 40. Calculate the remainder when (-10 - (-8 - -1))*114\/(-9) is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352ac4 (base 13) to base 5\nAnswer: -310403203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*u - 64, -u + 0 + 3 = 0. Which is smaller: x or -13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 22*v**2 - 43*v - 48. Let c be m(-20). Suppose -4*g + 48 - c = 0. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - -3470?\nAnswer: 3469.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -51. Suppose 1508 = -g*w + 8*w. Let q = -114 - w. Solve -7*z = 3*m - 3*z - 12, -q*m - 5*z = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/4 - 3\/(-12). Let v = 2.931 + -3. Let z = v + 22.069. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119400720 divided by -1.\nAnswer: 119400720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 30 = 3*d. What are the prime factors of (-4)\/d + 242\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 3*b - 8. Calculate p(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-153)\/189)\/(-17))\/((-2)\/(-1076)). Let n = s + -5255\/189. Find the common denominator of n and (5\/20)\/(18\/(-328)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/10)\/(27\/180). Let n be (f\/20)\/(6\/(-15)). Let l be (-3)\/n - (-36)\/24. Solve -w - 7 = -l*d, -32 = -4*d - 4*w + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0364 + 0.1664. Let v = 101 + -102.14. Let r = v + o. Round r to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/40 - x**5\/4 - 7*x**4\/8 - 3*x**3\/2 + 10*x**2. Factor r(g).\nAnswer: -3*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 116 in ascending order.\nAnswer: 3, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0159 - 0.0159. What is the closest to -2 in -2, 2\/17, -1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 5. Let m = 80 - 85. Let n be u(m). Suppose -5*k = r - 196, -2*k - 3*r - r + 82 = n. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-38357\nAnswer: -76714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14219 divided by -15?\nAnswer: 14219\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -585.\nAnswer: -584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*b - 1117 + 1147 = 0, 4*a - 4*b = -0*a - 48 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -109 (b) -0.4 (c) -5 (d) -2\/13 (e) -4 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 5 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/6 - 2152*w**3 + 12911*w**2\/6.\nAnswer: w**2*(w - 12911)*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (204\/12 - 11). Put 1, -1, 4, 6, c in decreasing order.\nAnswer: c, 6, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-6)\/(-4)*-1) - 0. Suppose 6\/7*n**a - 4\/7*n**3 - 8\/7 - 2\/7*n**4 + 8\/7*n = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-352) - (-34)\/144 - (-4956)\/(-30996).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 24 + 2*d + 41\/2*d**2 - 25\/6*d**4 + 0*d**3. Find the first derivative of u(h) wrt h.\nAnswer: -100*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 7. Let z be (-1)\/5 - 123\/205. What is the nearest to 0 in 5, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r. Solve h + 7 = x - 2*h, 5*x - 3*h - 23 = r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 - 43*r - 25. What is j(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 9) to base 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = 5*l, -2*a + 4*l + 14 = l. Suppose -8*y + a = 4. Suppose y = -2*o + 5*v + 32, -v + 4*v = 2*o - 24. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 3294525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/40 and -57\/260?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16226.75+-4\nAnswer: -16230.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - 134.3. Let a = o + 135.69. Let n = -0.24 + a. What is n rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l + 280. Let o(v) = -v + 1. What is 6*o(g) - x(g)?\nAnswer: -g - 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 0, -3*h - l - 5289 = 0. Let j = 3265 + h. Let s = -15001\/10 + j. Calculate the common denominator of -44\/9 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.5*0.1.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 6*o**2 - 23*o**2 + 6*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**3*w**2 + 2*c**3*w - 948*c**2*w - 2831*c*w**4 - c*w + 490*c - 2*w**3 wrt w?\nAnswer: 12*c**3 - 33972*c*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297672195.\nAnswer: 5, 1993, 130223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188899*h**2 + 302613 with respect to h.\nAnswer: 377798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61460635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 4. Let c(t) be the second derivative of t**3\/2 + 9*t**2\/2 + 34*t. What is -4*c(k) + 9*x(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 - -0.04?\nAnswer: 118.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 7. Let c be u(3). Suppose 4*r - 5*r = w - 6, -3*w + 4 = -c*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 22 = -12*b. Let z(i) be the second derivative of -2*i + 1\/6*i**b + 0*i**2 + 0 + 1\/3*i**3. Factor z(a).\nAnswer: 2*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(48)\/sqrt(6)) - sqrt(16)\/(-1*sqrt(8)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52151, 104315, 156479, 208643?\nAnswer: 260807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.8078 centuries to millennia.\nAnswer: 22.58078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 85\/(-50) + (-2)\/(-1). Let d = -6456 + 6455.5. Which is the nearest to -1? (a) d (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 3*r + 2. Let l be -1 + (-1 - 2 - -1). Let o be a(l). Put 0.5, o, -1\/2 in decreasing order.\nAnswer: o, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4381400?\nAnswer: 2, 5, 19, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8361446 rounded to the nearest one thousand?\nAnswer: -8361000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41675040?\nAnswer: 2, 3, 5, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570731797.\nAnswer: 53, 29636449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 78*s**2 - 13*s. Let v(q) = 31*q**2 - 5*q. Suppose 61*m = 64*m - h + 14, 0 = -m - 5*h - 10. Give m*p(y) + 13*v(y).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 76?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -280 in -477, -1\/3, -4\/7, 2?\nAnswer: -477","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277 is divided by 170.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5\/3 + 41*w**4\/9 + w**3 - 37*w**2\/9 - 8*w\/3 - 4\/9 = 0.\nAnswer: -2, -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 115 = -4*u + 6*v, 4*v = 3*u - 85. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, q: 1, v: 2, c: 3, f: 2, d: 4}. Give prob of picking 1 v, 1 q, and 2 f.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.75194 nanometers in micrometers?\nAnswer: 0.02275194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572993 and 244?\nAnswer: 139810292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -1\/3*r**3 - r**2 + 0 + 1\/6*r**4 + 0*r + 1\/60*r**5. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 45*m + 11 - 8*m**3 - 29*m + 11*m**2 - 2*m**3 - 27*m. Let p(w) = 4*w**3 - 5*w**2 + 5*w - 5. Let l(q) = 6*h(q) + 13*p(q). Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2983 - 2980. Solve -j = p*w + 9, 4*j = w - 4 + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/13*v - 32\/13*v**2 + 0 + 6\/13*v**3.\nAnswer: 2*v*(v - 5)*(3*v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123\/(-41))\/((-63)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n + 6*n, -5*j + 51 = -3*n. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 13051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose 0*w + 401 = 4*w - 5*i, 4*i - 194 = -g*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1 + (-1581)\/(-102))*(-24)\/18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/29 + 23\/87. Let v = 4 - 5. Let i be (1 - 2)*v*1. Which is the nearest to 0.1? (a) -0.1 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.55 + 26. Let v = g + -0.25. What is the third biggest value in -3, -1, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a factor of 379868767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164.8 + 160.637. Let a = -0.163 - x. Let i = -5 - -4. Sort i, a, 3\/4, -2\/3 in descending order.\nAnswer: a, 3\/4, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-15) + (-7)\/(-10). Let o = 0.099 - -0.001. Put -3, o, r in ascending order.\nAnswer: -3, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -555, 1\/2, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 19*z**2 - 40*z**2 - 4*z**2.\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, q: 3, h: 6, m: 2}. Give prob of sequence ooh.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c + 0*c + 12 + 7*c. Let a be x(9). Suppose 3*n + a*n - 1314 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6071 - -6076. What is the greatest common factor of 175 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145093457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 3)*(20 + 7 + 6*z - 7*z).\nAnswer: -9*z + 243","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57023 - -626773\/11. Suppose 5*k - 58 = o, -3*o + 2*o + k = 46. Is o smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*y = 130, q - 15*y - 50 = -12*y. Let n be q - 35 - (-7 - 1). Calculate the greatest common divisor of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104828 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*k + 38 - 4 = 0, 4*c + 3*k + 12 = 0. Let p be 1\/(0 + c\/7 - -1). Calculate the highest common divisor of 63 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z = -47*z - 2. Let n(x) = x**3 - 3*x**2 - x + 1. Give n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/7 - 2052*d**3\/7 + 7418*d**2 + 2052*d\/7 - 51925\/7 = 0. Calculate d.\nAnswer: -2077, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 796194?\nAnswer: -796194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 224485 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/429686 and 67\/18.\nAnswer: 3867174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one fifths of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 512864269*f**3 + 1557*f**2 + 3*f - 77589.\nAnswer: 3077185614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 22, -40, -1\/6, -2\/471 in descending order.\nAnswer: 22, -2\/471, -1\/6, -1\/3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (76\/(-8))\/(3\/(-6)). Suppose -149 = -6*h + y. Let d = h + 57. What are the prime factors of d?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46927, 94010, 141093, 188176?\nAnswer: 235259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - ((-648)\/16)\/((-2)\/(-20)).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28488590?\nAnswer: 2, 5, 13, 219143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.8278, -36\/5, -0.1, 5, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 29 (b) 7 (c) -0.4 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8155 from 4131638267.\nAnswer: 4131630112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let l(q) = 18*q**2 - 7*q. What is m(l(n))?\nAnswer: 324*n**4 - 252*n**3 + 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 965872 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 4*b + 2. Suppose 0 = 6*y - 29 - 7. Suppose -r + y*h - 8 = 5*h, 0 = r - 5*h + 24. What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/156 and -29\/30?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**8\/3360 - q**7\/1260 + q**6\/360 + q**5\/60 - q**4\/12 + 11*q. Let i(s) be the third derivative of m(s). Factor i(c).\nAnswer: -2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 2 - 2)*(i**2 + 2*i**2 - i**2) + 664*i**3 - 32*i**2 + 32*i**2 + (3*i**2 - 3*i**2 + i**2)*(2*i + 4*i - 4*i))*(-i - 2 + 2).\nAnswer: -664*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7105 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9*o - 25 = 0. Suppose -5*r = h - o - 4, h = 4*r. Let g = -1.2 + 1.3. What is the smallest value in h, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/225)\/((-7)\/(-21))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 1851 = 5*q, -4*m - m = 38*q - 20*q - 20*q - 405 for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/9*5*12\/20. Let t be -2*2\/4 + (10 - r). Let 36*n - 168*n**2 + 100*n**3 - 9*n**4 + 4*n**4 - 11*n**t = 0. Calculate n.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 33*a - 29*a. Calculate the remainder when 487 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-15)*(4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**24))\/(b\/b**(-1\/21)))\/(b**(-1\/24))**(28\/5))**(-5\/3) assuming b is positive.\nAnswer: b**(-541\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1462.965 and 5412.4?\nAnswer: 6875.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262206191.\nAnswer: 13, 20169707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 2*g - 4 = -t, 3*g = -4*t + 16. Sort 4, 3, g, 60, 5.\nAnswer: g, 3, 4, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/29 (b) 8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - h - 25 = 0, -7*f = -2*f + 3*h - 27 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164561 + 10565?\nAnswer: -153663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2007 and -139\/1338.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/146933752 and 117\/980?\nAnswer: 734668760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 11*r - 3324. What is the greatest common factor of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 12*g**2 - 7*g + 4. Let q be b(-8). Let u = -190 + q. What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 5*x - 728 = 0. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 26, -0.9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from ntkntjnknkt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 2. Calculate i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 25*m**2 - 36*m - 14. List the prime factors of h(-26).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 9*o**2 - 9*o + 9. Let h be g(-10). Let x(q) = -q + 1. Let f(l) = 6 - 3 - 4. Let z(d) = h*x(d) + 3*f(d). Calculate z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124652*g**5 - g**4 - 2*g**2 - 234*g + 455?\nAnswer: -7479120*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2.4, 0.5, -2, -0.1 in descending order.\nAnswer: 2.4, 0.5, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/5 - 3722*p**2\/5 - 77699*p\/5 + 81422\/5 = 0.\nAnswer: -3701, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/13 + 420\/26. Suppose 21*u = o*u + 45. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 43 - 93 + 14*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 1. Let x be (-9)\/6*((-8)\/3 + 2). Determine c(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2565 * -2.5.\nAnswer: -0.64125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 7*v**4\/4 - 2*v**3\/3 + v - 2615. Determine c(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + 13*m - 18*m + 34*m**2 in the form p*m**2 + w*m + x and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 198048171 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: Two letters picked without replacement from {w: 5, t: 2, a: 4}. Give prob of picking 2 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-5))\/((-5)\/(-25)). Suppose 0 = -v*m + 4*c + 16, -3*m - 4*c + 8 = -4*m. What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14\/9)\/(q*q**(-16\/5)))**(2\/35) assuming q is positive.\nAnswer: q**(58\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72.89 - -72. Let p = -0.49 - v. Which is the fourth smallest value? (a) -0.4 (b) p (c) 2\/7 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-17 + 10)) + (2 - (1 + 38)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 6, 6\/7, 2\/11 in increasing order.\nAnswer: 2\/11, 6\/7, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 10. Find the common denominator of 2\/(-1) - 113\/m and (1*37)\/(-8 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 9*f**2 - 7*f + 43. Suppose 5*j - d + 50 = 0, 0 = d + 3*d. Let k be a(j). What is the highest common factor of 104 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -23*q**5\/20 + 2*q**4\/3 - 6*q. Find the third derivative of g(n) wrt n.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 105. Calculate the highest common divisor of w and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -65619.\nAnswer: 19\/65619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**2*r**2 + 533*a**2*r + 71*a**2 - a*r**2 - a - 2372*r + 30 wrt a?\nAnswer: -12*r**2 + 1066*r + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waiwwxxww. Give prob of picking 1 w and 1 i.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.25 (b) -5 (c) 3\/2 (d) -4\/11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(c + c - 5*c) + 14 - 14 - 3*c + 46 - 19*c - 46.\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t - 18 + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4427.998191 to the nearest ten.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, e: 6, v: 1, j: 5, w: 2}. Give prob of sequence wevj.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 - 3*i**2 - 3*i**2)*(-7*i - 7 + 2*i + 8*i)*(2 + 2*i - 2) as v*i**2 + t*i + h*i**3 + p*i**4 + g and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than -7188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in -7, 0.0256, -177?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 387518 = -3*v. Let d = 132759 - v. What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w - 3*y, 1 = -2*w - 3*y - 0*y. List the prime factors of w + -2 - (1 + -9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 85*y - 2217. Calculate q(20).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3 - (-845)\/(-39))*37\/(-74)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 206759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-4)\/(-8)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-3*-2 + sqrt(187))\/(-5*sqrt(55)\/sqrt(5) - sqrt(11)))**2.\nAnswer: 833\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -422650 take away -0.4962?\nAnswer: -422649.5038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098921?\nAnswer: 11, 190811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:35 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464 - 272. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1\/3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((693\/28)\/11)\/6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 31 + -10 - 23?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p. Let v be (-4)\/1*1\/2. Let s be u(v). Is (s\/3)\/((-4)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 7*n + n + (4*n - 3*n + 0*n)*(-1 + 3 - 1) - 5*n + 3*n + n + (1 + 1 + 0)*(0 + n + 0).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34310 + 10?\nAnswer: 34320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 12. Suppose -c - 14 = -x, -c + 29 = -n*c + x. Is 125 - (-5)\/(c\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*c**2\/7 + 5710*c\/7 + 1976 = 0. Calculate c.\nAnswer: -532\/15, -13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(7*f - 2 + 2)*(-20*f - 9*f + 13*f) to s*f + u*f**2 + q and give u.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225 + 755 = -71*l + 408 + 968 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 - ((-347)\/23 - 252\/(-2898)). Let 3*i**2 - 3\/2*i**5 + 3\/2*i**4 + 9*i**w - 15\/2*i - 9\/2 = 0. Calculate i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 2, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**2 + 1473*r - 202. Give b(-82).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -496 + 491. What is the nearest to -0.3 in -2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 - 304*v**2\/5 + 410*v - 580.\nAnswer: 2*(v - 145)*(v - 5)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1209)\/(-124))\/13*80\/1470?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/2 - (-1)\/1. Let i be (g\/(-15))\/(2\/3). What is the common denominator of i - ((-31)\/(-4) - 0) and -15\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + 3*u**4 - 2*u**4)*((3 - 3 + u)*(3 - 4 + 0) - 2*u + 2*u + 8*u).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2026748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibhhb. Give prob of sequence bhi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 + -268?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -620 - -634. Let t be 242*(-7)\/(-98) - 4\/d. Solve -t*l - 3 = -20*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide (-1064)\/35*3\/(18\/(-165))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -454.\nAnswer: 453.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 586747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 0, 7*k - 2*k + 3*l - 422 = 0. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330997 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 8 + 9 = -5*k, 0 = 3*k - 4*u - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12858690 and 6630.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 1. Let b(j) = 7*j**3 + 1. Calculate 2*b(p) + 5*d(p).\nAnswer: -p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 13*m**2 + 3*m**2 - 13 - 3*m**2. Let c be 47\/5 + 2\/(-5). Let t be ((-21)\/c)\/((-2)\/(-6)). Let s(i) = 4*i**2 - i - 4. Determine t*s(n) + 2*r(n).\nAnswer: -2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -65, -137, -237?\n\"Answer: -14*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -5 (c) -3\/8 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:54 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.16, 1\/4, -0.11, -4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (6 - (-11 + 22))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 59*w**2 - 890*w**4 + w**3 + 443*w**4 - 4*w**3 + w**3 + 437*w**4 to j*w**3 + b + k*w**4 + v*w + d*w**2 and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3075792167 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24.573272 and -1043558.\nAnswer: -1043582.573272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4 - 2. Let u = s - -1. Suppose -4*l + 4*w = -28, 3*l + 2*w + 19 = -u*w. Solve 0 = l*g - 9 - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, m: 5, r: 1, u: 1, i: 1}. Give prob of picking 3 m and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.283693 and 1.3.\nAnswer: -0.3688009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/3, -0.5, -4, -0.08, 27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*g - 33*g - 235*g to the form i*g + z and give i.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062\/(-866)*16\/7*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*k - 4, -3*s + 0 = -2*k - 16. Let t be 25\/60 + 1 + (-3)\/4. Put 1\/5, k, t, 4 in increasing order.\nAnswer: k, 1\/5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 285, 569, 855, 1143?\n\"Answer: w**2 + 281*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s + 18*u - 13 = 65*s, -5*s + 5*u + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2500, 2565, 2632, 2701, 2772, 2845?\n\"Answer: f**2 + 62*f + 2437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - -1.9. Let w = o - -25.4. Let d = -22 + w. Which is the closest to 0.3? (a) d (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 times -4?\nAnswer: 0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*o - 0*o - 27, 4*b - 22 = -2*o. Suppose -19 - 1 = -b*l. Is ((-984)\/20)\/(l\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 67*f - 25. Determine n(-2).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49433, 49063, 48693, 48323, 47953?\n\"Answer: -370*h + 49803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 4200 = 30*w. Let m(v) = -17*v**3 - 3*v + 2. Let i be m(2). Let c = w + i. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 121*a + 4376. Calculate z(-151).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*n - 84. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21247 - 21248.42527. What is w rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -899, -897, -895, -893, -891?\n\"Answer: 2*g - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2268 - 2268.0000009958. What is z rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1000 + 43*c**3 - 2*c**4 - c**2 + 1001 + 11*c**3 + (-2*c**2 - c + c)*(c**2 + c**2 + 0*c**2) - 6*c**4 + 0*c**4 + 0*c**4.\nAnswer: -12*c**4 + 54*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 + -237.6. Let c = k + -1.4. Let i = -21.99945 + c. What is i rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -42. Suppose 2*l - 1 = l. Put l, 0, v in increasing order.\nAnswer: 0, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose -3*n - 24 = -75. Suppose 2*g - g - 1 = -2*b, -n = b + 4*g. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, 1 in decreasing order.\nAnswer: 1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2377? (a) -0.69 (b) 2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 47*u**3 + 22231*u**2 - 13*u - 6142. What is v(-473)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.3 (c) -1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 smaller than 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/2 + 14*n**3\/3 - 5*n**2 + 3*n - 25. What are the prime factors of x(-7)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5853 - 5281. Calculate the greatest common divisor of q and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*o - 22, -o + 5*j + 1 = -0*j. Let m = o - 6. Suppose -4*v - 43 = -m. Which is smaller: -6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1081, -4426, -10239, -18718, -30061, -44466, -62131, -83254?\nAnswer: -108033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 7, -3\/2, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367610 is divided by 2683?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*y - 368*y + 12 = 0. Let a(c) = c**2 + 4*c + 1. Let x be a(-5). Let b = x - 9. Sort 0, y, b in ascending order.\nAnswer: b, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1092)\/117 + (-33)\/9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.9898 - 15. What is j rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 174, 259, 344, 429, 514?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/(z*z*(z*z**(2\/7)*z)\/z*z*z))\/((z\/(z\/z**(-3\/5)*z)*z)\/(z\/(z*((z*(z*(z**5*z)\/z*z)\/z)\/z)\/z))))**(-49) assuming z is positive.\nAnswer: z**455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -596 + 681. Suppose 0 = 2*w + d - 49. Which is smaller: -124\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -2\/413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 20 = 5*b, 272*b - 269*b - 34 = 5*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*l - 3613 = 55 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-1*sqrt(3))**2*5) + (-2*sqrt(294) - sqrt(294))\/(sqrt(4)\/(1*sqrt(2))).\nAnswer: -21*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 p when three letters picked without replacement from {u: 4, p: 7, z: 1, e: 1, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382753 is divided by 5458?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 589117337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/89, 0, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - x - 26*x**2.\nAnswer: -26*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*y + 8, -5*y = -o - 4*y + 1. Let n(l) = -3*l - 1. Give n(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*p + 23, 3*p - 9 = -3*m + 7*p. Suppose c = 11 - m. Find f, given that 95*f**c + f**3 - 193*f**4 + 99*f**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -150, 3.\nAnswer: -150, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-6)\/4)*-2. Put 0, i, -3, -6 in descending order.\nAnswer: i, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280445 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 341083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6) - -3)*-2. Let a(h) = -2*h**2 - 6. Let z be a(f). Round z to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -3*o + 2*i, 4*o - 2*i + i = 173. Let d be 13 + -10 - 70\/(-2). Let f = d + o. What is the remainder when f is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -22*(3 + -50 - -7)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.015122, 5, 0, -5, -1, -0.3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -ba34 (base 13) to base 12\nAnswer: -12ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*a**2\/5 - 21208*a.\nAnswer: -2*a*(49*a + 53020)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -1.9. Let v be 31\/(2697\/(-1218)) - (-2)\/11*76. Which is the fourth biggest value? (a) l (b) v (c) 1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2210882619492.999998003 - -2210882622049. Let l = -2556 + t. What is l rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*m - 36, 182*q + 12 = m + 184*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15190*3\nAnswer: 45570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/801441 and 187\/210?\nAnswer: 56100870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 36. Let h = q - -3. Suppose -14 = -3*f + 5*o, -3*f - 5*o = -h + 5. Solve -3*v = -f*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 30*u + 2)*(18*u - 19*u - 26*u).\nAnswer: 810*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 7\/2*k**2 + 0*k + 8. Let o(n) = 0*n**2 + 0*n**2 - n**2. What is o(p(s))?\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15263245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. Suppose 0 = -p*u + 17 - 15. What is the tens digit of (-11)\/(33\/(-174)) + u + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7180207 to the nearest integer?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 990*g + 49042. Determine v(179).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-6 + 1 + 3) - 1 - 2 + 1)*(4*u - 3*u - 6*u).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 11. What is a(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 = 4*h, -5*h + 6*m - m - 25 = 0. Let o be (h\/6)\/(2\/24). List the prime factors of (-8)\/o*3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*v**3*x + v*x**2 - 143*x**2 + 13*x - 1 with respect to v.\nAnswer: 105*v**2*x + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25) - (-3138)\/5. Suppose -3*w = -a - 3*a + j, 0 = 3*a + w - 458. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 87280464 and -252?\nAnswer: 87280716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666 is divided by 360.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/12 - 13*c**2 + 2*c. Find v such that y(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, a: 3}. What is prob of picking 1 a and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x - 16. Let f(q) = -2*q + 3. Give 22*f(s) + 4*u(s).\nAnswer: -16*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1511, -1508, -1505, -1502, -1499, -1496?\n\"Answer: 3*i - 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3)*(-19*r + 7*r + 11*r) as t + a*r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:59 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -89, -252, -501, -842, -1281?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 65, 4 in descending order.\nAnswer: 65, 4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 21*x**2 - 47*x + 23. What is the remainder when 179 is divided by z(-23)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.503 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/1274 + (-285 - 62968\/(-221))?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385319.\nAnswer: 2385319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 3123 = -11*l. What are the prime factors of l?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 11. Let m = r + -9. Suppose h = -3*y - 10, -5*h - 22 = -m*y + y. Is -3\/4 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h. Let a(o) be the third derivative of 0 + 0*o**4 - 2*o**2 + 1\/6*o**3 - 1\/20*o**5 + h*o. What is the derivative of a(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -26 + (2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -836 (base 9) in base 2?\nAnswer: -1010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 1572*r**3 + r**4 - 1574*r**3 - 2*r**2 + r + 3143*r**3 in the form f + s*r**2 + c*r**4 + o*r**3 + x*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 3 + 8\/3*n + 12*n**2 + 18*n**3. Factor s(i).\nAnswer: 2*(9*i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {q: 7, r: 3, h: 2, j: 1, l: 6}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 225234064 + 0.1?\nAnswer: 225234064.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i**3 - 28*i**2 - 7*i - 7. Let a(w) = -17*w**3 + 28*w**2 + 6*w + 6. Let h(v) = -7*a(v) - 6*t(v). What is the third derivative of h(u) wrt u?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14313 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.12850931 rounded to 1 decimal place?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 23. Let j be o(-6). What is the remainder when 1 - -140 - (j - -8) is divided by 55?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:58 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 365*a**3 - 3*a**2 - 3*a + 5. Determine c(1).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 10. Let m be b(4). What is the highest common factor of m and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404204897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 + 28910534*x - 28910534*x.\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5053316770?\nAnswer: 2, 5, 16417, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 22*x = 0, -2*x - 6 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2879 < -2879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 + 10*y - 1. What is the remainder when p(5) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 4 - 22 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -393, -331?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.459 - -0.041. Let a = n - 20. Let i = -1.1 + 4.1. What is the second smallest value in i, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035 is divided by 258.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*g - 558 + 198 - 572 = 298 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-6) + -5 + 15027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(13)*1*3*-3 + 2.\nAnswer: -2 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/180 + 5*q**4\/18 + 50*q**3\/9 - 43*q**2. Suppose i(v) = 0. Calculate v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 988915600 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21011121 to the nearest integer?\nAnswer: 4584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 934532, 1869066, 2803600?\n\"Answer: 934534*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 84 = -q. What is the remainder when 25 is divided by 8\/(-2)*(-6 + (-30)\/q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*w - 7*w**2 + 96*w)*(2 - 1 - 6)*(12 - 7 + 6)*(5 - 3 - 4).\nAnswer: -770*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2168 and 1314.\nAnswer: -2848752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akakkkkkkkkrrkk. Give prob of sequence kark.\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -17. What is the derivative of -2*j**2 + 6*j**2 + 7 + 3*j**m wrt j?\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181149178 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: Differentiate j**3 - 104301*j + 297176 wrt j.\nAnswer: 3*j**2 - 104301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 9.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 121, 4, -5, -2, 771 in ascending order.\nAnswer: -5, -2, -1, 3, 4, 121, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 - -183. Find the common denominator of 1\/5 and ((-60)\/v*(-2)\/3)\/(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-1)\/15). Suppose 0 = -s*d - 3*n + 276, -2*d + 2*n = -0*d - 104. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 5. Suppose 0 = -d*m + 6*m - 5. Let g be 2*(-8)\/28*14\/(-4). Sort m, -2, g.\nAnswer: -2, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.108 - -5.892. What is the biggest value in y, -0.1, 2.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.15144 rounded to zero decimal places?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1390, 2.5, 0.3, 0?\nAnswer: 1390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 476901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -87\/1273739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1415*q + 88. Let x(b) = -2*b - 2. Let f(o) = -d(o) - 6*x(o). Is f(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1041 + 1155. What is the greatest common factor of m and 532?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 5*j - 6. Let m(w) be the first derivative of -5*w**3\/3 + 2*w**2 + 5*w - 3. Give -6*k(u) - 7*m(u).\nAnswer: -u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 3*w**5 + 11*w**2 + 51*w**2 + (2*w**2 - w**2 + 0*w**2)*(-3*w**3 + 2*w**3 - w**3) - 4*w**3 - w**5 + 4*w**3 + 2*w**2 + 2*w**5 - 2*w**2.\nAnswer: -3*w**5 + 62*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (-10 - (-4 - -694829)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 886*b**2. Let k(h) = 38852*h. Determine l(k(s)).\nAnswer: 1337397422944*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 381.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*v + 5*l, -378*l = 4*v - 382*l - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*2*(0 + sqrt(128) - sqrt(128)) - (-4 + 2*sqrt(128) + sqrt(128) + 1)**2)*-2*-2.\nAnswer: -2304*sqrt(2) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 99*x**3 - 2*x**2 + x. Calculate the remainder when y(1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2805*p - 2. Let c(i) = -96*i**2 + 2. Give a(c(r)).\nAnswer: 269280*r**2 - 5612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:43 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*o - 3*f, -2*f = 2*f + 36 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, -3\/7, 0.2, -1, 9639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 41 = p - 27, 2 = 2*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - d + 0*d + (-3 + 5 - 4)*(3 - 2*d - 3) - d - 2*d + d + d - d - 2*d to o + c*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(-4*(-1)\/184). Suppose -12 = -17*m + z*m. Let k be (18\/12 - 1)\/(m\/(-12)). Solve -2*g + 11 = -4*n + 1, -k*n - 6 = -2*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 1. Let n(k) be the third derivative of -k**3\/3 - 6*k**2 + 36*k. Let a(y) = -y**2 + 6*y + 2. Let q be a(6). What is q*p(c) - n(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 1 = 0. Let y = 25 + -25. Sort -2, y, d in increasing order.\nAnswer: -2, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2134576 or 6403726\/3?\nAnswer: 2134576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2. Let j(m) = -171*m**2 + 3279 - 3279. Calculate x(j(r)).\nAnswer: 146205*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -17*j**5\/10 + 13*j**4\/2 - 36*j + 4. Find the third derivative of f(k) wrt k.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 571160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 87. Let r = -40 + n. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m + w, 3 = 4*m + w - 5. Let b(i) = i**m + 1 + 1 + 3. Let g(s) = s**2 + 2. Give -2*b(r) + 5*g(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7818 (base 12) to base 4.\nAnswer: 3033110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 50. Give y(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 - x + 1. Let j be g(2). What are the prime factors of (20\/6 - j)*177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73981, 73908, 73835, 73762?\n\"Answer: -73*l + 74054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-20 - (-14 - (-6 - (-6 + 9))))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6747 or 6746?\nAnswer: 6746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)*v\/(v\/(v\/(v*((v\/(v*(v\/((v\/(v\/(v*v\/v**8)))\/v)*v)\/v*v)*v*v)\/v)\/v)))*v*v**(-4\/5)*v*v*v**(-3\/4) assuming v is positive.\nAnswer: v**(667\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.648796 * -18\nAnswer: 29.678328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 16*a - 345 = 0. What is the remainder when 40 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d. Suppose -3*h = 25 - 34. Suppose -h*x = -d*x - 105. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28417 to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 882413227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 v when four letters picked without replacement from vfxfxdxffvvdxv.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 + 9*p**2 + p + 7. Let r(a) = 2*a**3 - 6*a**2 - a - 5. Let u be (-2)\/2 + -3 - 3. Let n(b) = u*r(b) - 5*q(b). Factor n(c).\nAnswer: c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 60 = 2*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.98 - -60. Which is the fourth smallest value? (a) x (b) -5 (c) 11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389 divided by 2.\nAnswer: 389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31341088 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 2, b: 2, u: 2}. What is prob of sequence dd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*r**3 + 53*r**3 - 15*r**3 - 56*r**3 + 100*r**3.\nAnswer: 423*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 6. Suppose -4*k - t = -2*v - k, 5*k = -4*v + 17. Solve -f + 7 = -4*y - y, 0 = -2*f - y + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.33 (c) 20 (d) 0.07084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 + 6 = 0. Solve 3*a - a + 6 = 2*o, 3*o = 5*a + m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 88234480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**3 + 11*w**2 + 9*w - 3. Let o(d) = 8*d**3 + 10*d**2 + 8*d - 2. Let r(p) = -3*o(p) + 2*z(p). Factor r(b).\nAnswer: -2*b*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 - 13*b**4\/4 + 10*b**2 - 4. Let r(s) = -2*s. What is r(j(l))?\nAnswer: -2*l**2 + 156*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10010011101?\nAnswer: -10010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26473 - -40237. List the prime factors of g.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -30*s + 139880000. Round s to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:58 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8049 divided by -2.\nAnswer: 8049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 4, c: 5, v: 1}. What is prob of picking 1 c, 1 v, and 1 s?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 654 - 736. What is the fourth smallest value in -0.5, 2\/3, 0, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431807, 1727242, 3886299, 6908978, 10795279?\nAnswer: 15545202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 8597228*b**2 - 34388920*b + 103166768\/3.\nAnswer: 2*(b - 2)**2*(b + 12895846)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -142*r**2 - 24*r - 4 + 141*r**2 + 20*r. Calculate o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 234 = 38*b. Let n be (132\/20)\/(b\/(-20)*1). What is the greatest common divisor of n and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 90*k**4 + 1446*k**3 - 2880*k**2 - 39243*k + 40590 = 0. What is k?\nAnswer: -11, -6, 1, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*z + 10, 3*z + 0*w - 8 = -2*w. Suppose z*k + 8 = 6*k. Let n(c) = 14*c - 8. Does 16 divide n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13801127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80287 = 33*c - 2*p + 80460, -6*c - 14 = 4*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50257625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 + 18*k - 8. Let u(s) be the first derivative of s**3 - 11*s**2\/2 + 5*s - 106. Let t(b) = -5*j(b) - 8*u(b). Find z, given that t(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15213*n**4*t**2 + 4741*t**2 wrt n?\nAnswer: 60852*n**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfgbbigoggfobfxioobb. What is prob of picking 1 i and 1 f?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 4*h - 1. Let p be v(-5). Suppose 1 = -b + p. Suppose -4*q - o + 21 = -b*q, 3*o = 3*q - 69. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46423 - -232113\/5. Let f be 2\/(1*-14)*-3. Sort f, l, -0.076 in decreasing order.\nAnswer: f, -0.076, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-27))\/(15\/(-9) - -2). Let l be (41 + -47)*(x - 8\/3). Calculate the greatest common factor of 120 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.071, -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 42.\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003568 to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25734213?\nAnswer: 3, 349, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:53 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 325070646 a multiple of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492302892.\nAnswer: 2, 107, 3486689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.25 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*x**3 + 72*x - 92*x - 71*x**3.\nAnswer: -246*x**3 - 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 46\/(-14) - 0. Let d = 13 + -10. Let w be (15\/(-36))\/(-5)*d. Which is the closest to w? (a) -5 (b) s (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -2893*v**7\/42 + 8263*v**4\/12 - 60*v - 24. What is the third derivative of q(p) wrt p?\nAnswer: -173580*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234.9 + -94.4. What is t rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Suppose i - 5*u - 13 = -3*u, 4*u = a*i - 47. Let g = 11 - i. Solve 2*h + 6 = 2*s - 4*s, g = -2*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(-8)\/6 + 5. Let h be (-24)\/(-198)*g\/2. Which is the second smallest value? (a) 5 (b) -8\/41 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 5. Let d be y(-3). Suppose 4*p + 4 = 5*q, 2*q - 2 + 0 = d*p. Let v(a) = 2*a**2 + 2*a + 1. Calculate v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 855 or -33\/4?\nAnswer: 855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 24 - 74 = 0. Suppose 5*a - r = -3*y, 3*y - 30 = 2*a + 8. Let v(h) = -h**2 - 5*h - 4. Let q be v(-4). Solve q = -c - c - y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/437 and -34\/309.\nAnswer: 135033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 + 6*h + 2. Let v be g(6). Let c = v - 2. Suppose c = -d + 17 + 20. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**3\/2 + 1143*g. Let z(x) = 22*x**2 + 9. Give z(m(c)).\nAnswer: 198*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(363 + 156 + 357*o - 358*o) + (o + o - 4*o)*(1 + 0 - 3) in the form s*o + g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*g + 44, -2*g - r + 11 = -9. Suppose -g = 4*t - 44. Let a = -6 - -10. Solve -a*c = -t - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = 4*f + 25, 0 = f + 4. Let q = r + 52. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-402)\/495 - 78\/(-143). Which is smaller: p or 2.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 7687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**4 + 40*x + 677 wrt x.\nAnswer: -16*x**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 + 21 = -16*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 33*s**2 + 201*s - 22. Calculate h(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2333*z - 1693*z + 117*z = -681*z + 129120 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*n - 27103 = -29818 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 3*m**2 + 0*m**2)*(2*m - 2 + 2) - 7*m**2 - 14*m**2 + 2*m**3 - 9*m**2 to the form a*m**2 + q*m + w*m**3 + u and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 1773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8090 is divided by 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, 89, 484, 1125, 2018, 3169?\nAnswer: 4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(284\/16 - 2). Let m = 99 - l. Calculate the greatest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41775223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {d: 4, p: 1, z: 2, g: 1, t: 2, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447 (base 11) to base 15.\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.272 + -7.2038. What is t rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z. Let p(d) = -166*d**2. Give p(q(k)).\nAnswer: -1494*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 198175213 a multiple of 1495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 4. Let r(a) = 2*a**2 - 8*a + 6. Calculate the remainder when r(d) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*i - 11, -4*i + 8 = 4*g - 0*g. Solve 4*w - 23 = -i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2753794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 97c95 - -1?\nAnswer: 97c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 336?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*y + 24*y + 3 - 104*y + 14*y**2 - 12*y**2 - 13*y**2 to o*y + r*y**2 + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1 + 1*(-15)\/(-10)). Solve 2*j - 2*w + 12 = 0, -4*j = -j + w + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 4*i - 72*i**2 - 6 - 25*i**3 + 37*i**2 + 30*i**2. Let o(p) = 26*p**3 + 6*p**2 + 6*p + 7. What is -5*o(a) - 6*x(a)?\nAnswer: 20*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 1381*g**3 + 1380*g**3 + 6*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 90*76\/171\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 5, 0.5, 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 18. Suppose 2*o - o = q. Find the second derivative of -2*v**o + 11*v - 29*v + 7*v + 5*v wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 23 (c) -0.5 (d) -2\/9 (e) 174\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6037704202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162581787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, -238, 82, -5, 5 in decreasing order.\nAnswer: 82, 5, 3, 1, -2, -5, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 2. Let t(s) be the second derivative of -s**3\/3 - 7*s**2\/2 + 3*s. Let z be t(-6). Let f(j) = j + 2. Calculate z*f(b) - 6*l(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v - 2. Let c be n(-3). Let x = 49 + c. Suppose -80*b + 4400 = 8*b. Calculate the highest common divisor of b and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188540765 divided by 35?\nAnswer: -5386879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-7 - -8 - 8) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 214*a + 158*a - 624*a - a**2 - 1.\nAnswer: -a**2 - 680*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - 5) - -2 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73647?\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10, 1, 14 in increasing order.\nAnswer: -10, 1, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 + 2*c + 2. Let h be u(-2). Let s = 29 - h. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 284, 286, 288, 290, 292?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 - 12*q. Give j(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24508.6 * -0.3\nAnswer: -7352.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*h + 4*f = -156*h, -f = 4*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*d + 1 - 3, 0 = 5*d - 20. What are the prime factors of (-14571)\/45*l + -2 + 6?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = 22*q. Suppose 162*g - 152*g + 30 = q. Sort g, 39, 3.\nAnswer: g, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 + 22*z**2 - 2. What are the prime factors of w(-7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5858819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from mkyyimkl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**2 - 1774 + 3552 - 1778.\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.1, 14 in ascending order.\nAnswer: -19, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/2 + 80*i**2 - 5219*i\/2 + 2530 = 0. What is i?\nAnswer: 1, 44, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(847))*-3 + sqrt(847) - (1*sqrt(700) + 1))**2.\nAnswer: 256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*w + 15*w - 20*w - 15466. Which is smaller: w or -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.41? (a) -0.653 (b) 4\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 2*m, -2*h - 4*m + 12 = -0*m. Suppose h*d = -221 + 13. Let k = d - -138. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4 = -2*x. Let c(g) = -g**2 + 1. Let m be (10 - 19 - -12) + 1 + 2. Let j(h) = 4*h**2 + h - 2. Determine m*c(f) + x*j(f).\nAnswer: -2*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*n = -6790, 2*w + 5*n - 4*n - 6785 = 0. Let r = -94 + w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 3*z - 3. Let u(x) be the first derivative of n(x). Let r(f) = 8*f. What is u(r(g))?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.327 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - r + 70, 0*a + r = a + 18. Let c = -12 - a. Sort 0.4, -2, c in decreasing order.\nAnswer: c, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/343 and -101\/105.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 2610 + 3*j + 2610 - 3*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -5*(sqrt(76) - ((sqrt(76) + 2 - sqrt(76)) + -1) - (sqrt(76) + -2)*-3))**2 + 0.\nAnswer: -8400*sqrt(19) + 94875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2083910 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 930\/33 + (-2)\/11. Let m = i + -17. Let q = -5 - -8. Solve 0 = -q*n + o - 0*o + 18, 0 = 4*n + 3*o - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 66*l - 415. Calculate n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o**3 + 6*o)*(-345*o - 652*o - 172*o).\nAnswer: -1169*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/(t\/(t\/((t**(9\/4)*t*t)\/t)))))\/t))\/(t*t**(-7)) assuming t is positive.\nAnswer: t**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -26. Let v be (-12)\/(-3) - 1*2. Suppose 57 = 5*f + v. Calculate the greatest common divisor of q and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.45*838\nAnswer: -3729.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 1 - (-1 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 784654.9mg in grams?\nAnswer: 784.6549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {f: 8, u: 8, o: 3}?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3 - (6 + 0)) + 11. Is 7 a factor of ((-4)\/(-6))\/(n\/540)*22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*w + 11, 2*r - 2*w = 5*r - 10. Let z = -2 + r. Let g be (-3)\/6 + z\/4. Solve g = 6*s - s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -1.8 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105776 or 106650?\nAnswer: 105776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(72) - (sqrt(72) - (sqrt(72) + 6*sqrt(72)*1) - sqrt(72)))*-6*4*2)**2.\nAnswer: 21233664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7243790428 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let u(d) = -7*d - 1. What are the prime factors of u(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*x = -h, -3*h - 2*x = -12. Let l = h - 6. Sort -3, -2, l in decreasing order.\nAnswer: -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = -2*k + 5*k. Let g = -61 + k. Suppose g*x = -0*x + 6852. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14913227.\nAnswer: 7, 2130461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 42*f - 589. Let o be i(14). Is o less than or equal to -18\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 80) + 210 + -137\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/4)*j))\/j**(6\/11))\/(j**(1\/2))**6 assuming j is positive.\nAnswer: j**(-145\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0)*(6*t**3 - 4*t**3 - t**3 + (-t**3 - t + t)*(1 + 0 - 3) + (5*t - 2*t - t)*(t**2 + 0*t**2 + t**2)).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13. Let n(v) be the second derivative of 11*v**2 + 125*v. Let r(p) = 5*m(p) - 3*n(p). Let k(s) = -4*s - 4. Give -k(q) + 6*r(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3 + 11*b**2 + 2638.\nAnswer: 6*b**2 + 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*u**3 - 27*u**3 - 17*u**3 - 24*u**3 - 211 to t + q*u**3 + h*u**2 + w*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -251, -254, -257?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 4, v: 2, i: 1, t: 3}. Give prob of picking 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 2*h + 0*h**3 - 7*h**2 + h**3 + 3 + 14*h**2. Let k be u(-5). Let c = k - 6. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 578*g**3 - 3*g**2 - 8 + 7 - 1162*g**3 + 585*g**3 - 18*g to b*g + d + p*g**3 + u*g**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 13 = 68 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 158 = -u, -3*r + 3*u = -0*u - 174. What is the highest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwlc when four letters picked without replacement from skcwl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -17.9. Let k = 0.1 - z. Let w = 347437\/6 + -57906. What is the third smallest value in k, 0.5, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 243716.42964?\nAnswer: -243716.72964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a (base 11) to base 2.\nAnswer: -101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1596\/331943?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/(z*z*z**(-2\/31)) assuming z is positive.\nAnswer: z**(-246\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2, -3909*s = -3911*s + 2*b + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -488 + 908. Let u = q + -125. Suppose -4*j + u = 83. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77063 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-9)\/(-18)*2\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42b (base 14) to base 11.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from vhyhihqevvvevev.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22967 greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60595763*q**3 - 4472684*q - 1 wrt q?\nAnswer: -363574578*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739708.\nAnswer: 2, 434927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011010100 (base 2) to base 11.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p + 196. Let r be o(-21). Is 22 a factor of (744 - r) + (-3 - (-4)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 26*i - 145. Let t be y(-8). Suppose f + 4*l = 13, -4*f - f = -l + 40. Let x be 6\/9 - f\/(-24). Is x >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*p + 42 - 101, 3*m = -2*p + 137. Calculate the greatest common divisor of m and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272271 and 110067.\nAnswer: 5173149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2, -5*o = 5*b + 1 - 6. Suppose p - 3*k = -12, b*p = -p - k + 14. Differentiate 1 + 8 - 6*x**4 + p with respect to x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529314 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 90 - 46 - 5 + 2*p**2 - 13 + p**2 - 23. Suppose 9*k = 4*k - 10. Calculate v(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 19 - 20. Solve -p = -m - z, -m + 2*z = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010814728 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8196, -8107, -7966, -7779, -7552, -7291, -7002?\n\"Answer: -f**3 + 32*f**2 - 8227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43842221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*f**3 - 2*f**2 - 1 + 89*f**4 + 138*f**3 wrt f?\nAnswer: 2136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(14))\/sqrt(7) + sqrt(2)*-3 + -2 - sqrt(144)\/(-1*sqrt(242)).\nAnswer: -60*sqrt(2)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 441985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 + -1691\/7. Let h = 8255\/21 + -393. Let s = h - b. What is the closest to s in 3, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 - 1?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332 + -196. What is the greatest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12838 - 6?\nAnswer: 12832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1221941 (b) 2\/11 (c) 5 (d) -1\/2 (e) 0.5 (f) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9 + 0)*(23*s**2 - 4 + 27*s**2 - 47*s**2)*(-s - s + 0*s).\nAnswer: 90*s**3 - 120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1962 + 2021. Calculate the remainder when y is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 - q**2)*(-14*q - 194*q - 262*q) + q - q - 3*q**3.\nAnswer: 467*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48253128*l**4 + 425451615*l**2 wrt l.\nAnswer: -1158075072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:25 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(456) + sqrt(456))\/(sqrt(32)*2))\/(-2*(-2*sqrt(363) + sqrt(363))*-1).\nAnswer: sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v - 26. Let l be q(-14). Suppose 0 = 4*x - 10*x + l. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -186, -179, -162, -129, -74, 9, 126?\n\"Answer: s**3 - s**2 + 3*s - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5307, -5314, -5335, -5376, -5443, -5542, -5679, -5860?\n\"Answer: -g**3 - g**2 + 3*g - 5308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/(sqrt(704) + sqrt(704)*1 + sqrt(704)))**2 + -5.\nAnswer: -59\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5338695*y**3 - 16185697*y?\nAnswer: 32032170*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*x = 328*x + 30 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -27. Let h = 5 + -2. Suppose h*c - 7*c = -u. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5100070664.\nAnswer: 2, 13, 49039141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Let p = -1 - h. Let u(z) = -p*z + 3 - 3. Let n(x) = 2*x**2. What is n(u(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 48, 75, 102, 129, 156?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 12*i - 30. Let f be d(-14). Let y = f + 62. Suppose y*b - 2*c = 154, 4*c + 20 = -0*c. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4 + 28*q**3 - 32*q**2 - 28*q + 30 = 0?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 53. Calculate the least common multiple of 80 and t(12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a. Let z = 75 - 72. Suppose 5 - z = f. Let d(v) = -v + 2*v**f + 0*v + v. What is d(h(g))?\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -5, -350, -746, 0 in decreasing order.\nAnswer: 5, 0, -2, -5, -350, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6141 - 6245. Which is greater: n or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 47*l - 7. Calculate y(21).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -7*h - 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345339103.\nAnswer: 1345339103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 0.29. Let a = -3.2 - -2.9. Let p = a - -3.3. What is the nearest to 1\/2 in p, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575460281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - d**2 - 3*d**2 + 27)*(3*d - d + 0 - 2).\nAnswer: -8*d**3 + 8*d**2 + 12*d - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7426)\/(-1034) + 100\/55 - 2\/(10\/43).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q - 39. Let w = -9 - q. Suppose -4 = w*b - 20. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/827, -0.04, 2, 5, -4 in descending order.\nAnswer: 5, 2, 0.2, -1\/827, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuxxuxxxmutwmxmwwtm. Give prob of sequence xw.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9.11*-6605\nAnswer: -60171.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2. Suppose -r*i - 27 = -2*g - 2*g, -i + 12 = 5*g. Solve d + 2 = g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1109 - 518 + 7*h - 548 to the form q*h + j and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17765 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let z(a) = a**2 + 24159. Determine z(d(h)).\nAnswer: h**4 + 24159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/5)*v*v**(-1\/3)*v*(v**1\/v)**(-3) assuming v is positive.\nAnswer: v**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.411748 rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3*(2 + -7). Let x(g) = g**3 + 9*g**2 - g + 19. Let s be x(-5). Suppose -l - 18 + s = b*t, 2*t = l - 71. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 392*b\/3 + 645.\nAnswer: (b - 387)*(b - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63799456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o - 18250 = 0. Let z be (o\/6)\/((-3)\/(-360)). Round z to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7180 (b) 19737 (c) -3 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 - -137. Suppose 2*j = -j + 78. Suppose -j = -2*l + 5*k, l = -3*k + 12 + 1. What is the greatest common factor of a and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - (-8 - (-2 + -15)) - 3. Let r(h) = -4*h + 7. Let w(d) be the third derivative of -d**4\/12 + 2*d**3\/3 - d**2. What is n*r(y) + 5*w(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**4 - 164*x**3 + 51584*x**2 - 12545*x - 3282 wrt x.\nAnswer: 48*x**2 - 984*x + 103168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12))\/((-4)\/(-60)). Suppose -j = -o*g - 29, -j = 3*j - 4*g - 100. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.699 - 2.699. What is the nearest to 1 in -0.7, -3\/7, t, 49?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 + u**3\/3 - 23*u**2\/2 - 14*u. Let o be j(0). Let k = o + 27. Solve -k*y + y = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -40. Which is the closest to -1\/10? (a) 0.3 (b) v (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 353489000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17756, 35284, 52812, 70340, 87868, 105396?\nAnswer: 122924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s + 3*v - 7, -5*s + v = -11. Which is the second biggest value? (a) s (b) -1\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*-5 - (sqrt(133) - (sqrt(133) - -1*sqrt(133))*-4))\/(sqrt(112)*2 + (sqrt(63) - 2*sqrt(63))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.56 - 4.16. Sort -0.17, 2, -2\/7, -2\/5, j in increasing order.\nAnswer: -2\/5, -2\/7, -0.17, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998 = -m + 4*a - 1009, m - 2*a + 1 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3905 divided by 47\nAnswer: 3905\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (23 - (-8 - -38)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, 1 w, and 1 q when four letters picked without replacement from {h: 2, q: 6, d: 2, w: 1, b: 4}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**5\/3 + 19*i**4\/3 + 392*i**3 + 6404*i**2\/3 + 8272*i\/3 = 0?\nAnswer: -22, -4, -2, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1) + 19 - (6 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1093*s**3 - s**2 + 12*s - 6 wrt s?\nAnswer: 6558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898393 is divided by 131?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4 + 585\/(-36))*-4. Let f be 10\/65 - (a\/(-13) + 1). Suppose 22 = f*u + 3*r, -r = -3*u + r + 8. Solve z = -2*n + 4, -8 = u*z - 5*n + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 21. Let l(m) = m - 9. Determine l(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10451 + -4090. Suppose -l - 6713 = -6*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = -7*t + 5*t, -3*d + 6 = -3*t. Suppose 3*r + 18 = d*x + x, -3*x - 4*r + 4 = 0. Solve -p - 3*g = -6, 3*p - 10 = -x*g - g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/73128 and 103\/28?\nAnswer: 511896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.19 (b) 2\/21 (c) -0.5 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + 2*f. Let m(g) = -3*g. Give m(t(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 869, 6991, 23603, 55949, 109273?\n\"Answer: 874*o**3 + o**2 + o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 6893\/13152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2598047442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10626971515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100100000010 (base 2) to base 9.\nAnswer: -8703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -265*i**2 + 4270*i - 4425.\nAnswer: -5*(i - 15)*(53*i - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/437 - ((-798)\/(-184))\/(-21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 6*m**2 + 5*m**2)*(663*m**2 - 35*m**3 - 664*m**2 + 0*m**3).\nAnswer: -385*m**5 - 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 24*n**5 + 292*n**4 + 1124*n**3 + 1528*n**2 + 672*n = 0?\nAnswer: -6, -4, -7\/6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 279139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -9*b + 55. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30920941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16)\/(((-24804)\/56816)\/(-39)).\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 805.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -27972.24 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyvv when four letters picked without replacement from yyvyyyyyyvyyvvyyvy?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16972.3 + 16972. Which is the second smallest value? (a) 5 (b) -0.1 (c) 18\/5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 5, b: 2, h: 3}. What is prob of sequence hjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 + -840?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/7)\/(18\/(-63)). Let y(w) = -19*w. Let q(g) = 1254*g. Let h(x) = o*q(x) + 133*y(x). Let n(p) = -2*p. Determine n(h(f)).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 u when four letters picked without replacement from uuuuuuuuduuuuduuuuuu.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 754920812 a multiple of 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287 is divided by 83.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274322976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-60)\/5 - -4). Suppose -5*f + 529 = -i, -q*f + i = -8*f + 425. Let m = f + -95. Calculate the remainder when 42 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29399809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1044202244 (base 5) to base 12.\nAnswer: -947123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 16*g + 31. Determine z(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w + 2*w)*(5*w - 12*w + 2*w).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 13 + 15 + -22\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23505, -23530, -23561, -23598?\n\"Answer: -3*c**2 - 16*c - 23486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -54?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 8, -0.4, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404024387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m - 18. Suppose y + m*y - 15 = 0. Let o be (-1)\/(-3)*(-2)\/y. What is the third biggest value in o, -2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 17 = 38*a. Suppose -a = -3*i - 23. Let x(y) = 89*y**2 + 2*y - 1. Is x(i) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((((b\/(b*b**1))\/b)\/b)\/b)\/b)\/b*b)**(-1\/84)*(b**(1\/4)\/b*b)**(5\/3) assuming b is positive.\nAnswer: b**(13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/4)\/(2078\/49872).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 764446 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-186)\/279*(-3)\/5. Put -5\/4, 0, 0.0747, x in decreasing order.\nAnswer: x, 0.0747, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 111 = 5*l, 4*z = l + 3 + 12. Let w = -3 - l. Suppose w = 2*y - 4*g, -y - 2*g = g + 5. What is the second smallest value in -2\/7, y, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 0 + sqrt(162) + -4 - sqrt(162) - ((sqrt(32) - sqrt(2)) + -3)*4)**2.\nAnswer: -48*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152541*z = -152543*z + 56. What is the highest common factor of z and 1344?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18196 (b) -1\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119\/195 - -8\/15. Is 1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-172 - 3)\/((-2)\/16). Suppose 5*q + 5*b = 45, -4*q + 3*b - 12 = -55. Suppose -q*p + 0*p = -i. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 128*g**2 - 54*g - 114. Calculate f(-2).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and -1315 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 11*z + 5. Let b(n) = -4*n - 2. Let j(g) = -7*b(g) - 2*i(g). Factor j(o).\nAnswer: -2*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b. Let p(j) be the first derivative of -j**3\/3 - j**2 - 1293. What is g(p(k))?\nAnswer: 11*k**2 + 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rrrbrbbrrrrrrrrrbrrr.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 249\/(-913) - (-9)\/33. Solve -3*t - 350 + 365 = v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 22) + 1*3. Let g(m) = m**2 + 13*m - 3. Let r be g(s). Are -1\/4 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**4 + 7*k**4 - 2*k**4)*(1 - 4 + 2) + 0*k**4 - 5*k**4 - k**4 to q*k**2 + r + j*k**3 + x*k + n*k**4 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((16\/(-10))\/2)\/((-12)\/5460)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*s**3 - s**2 + s**2 - 270*s**3 - 12.\nAnswer: -2*s**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.97 to 1 decimal place.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6749845994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = j + 52*i - 47*i, 0 = -i - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270669 is divided by 2529?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124)\/(-6) - 21)\/(88272\/5886 + -15).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 260080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069874 times 0.3?\nAnswer: 0.0209622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -4\/5, -18712?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.011?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 15. Suppose -85 = -3*f + 2*a, 0 = -5*f - z*a + 168 + 3. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -14*r + 6*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11583)\/10010)\/81*-2660?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -20*t. Let x(v) = -v + 342. Let u(h) = -h + 145. Let n(r) = 5*u(r) - 3*x(r). Give n(q(a)).\nAnswer: 40*a - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 6\/47, 3, 680\/219?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72954 divided by 27?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 5*w**2 - 3*w + 10. Let k(u) = u**3 + 4*u**2 - 3*u + 9. Determine -3*f(n) + 4*k(n).\nAnswer: -2*n**3 + n**2 - 3*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (-4 + sqrt(1584)*1 + 4 + (sqrt(1584) - (sqrt(1584) + 0)) - (-1 + ((sqrt(1584) - 1*sqrt(1584))*-4 - sqrt(1584))))**2 + 5.\nAnswer: 48*sqrt(11) + 6346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 23. Let u(s) = s**3 - 5*s**2 - 2*s + 7. Let w be u(4). Let c be q(w). Solve -b = 4*l - c, -b - 3*b = -5*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037579 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 277554383\nAnswer: -277554384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 135?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/27027*54*-11*3?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222882 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2456 + -1.3456. What is the second biggest value in 1.66, 2\/17, b, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*o**3 - 259*o**3 - 152*o**3.\nAnswer: -355*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 0*z**2 - 2 + 3 + 5*z**2 - 4*z**2. Calculate the remainder when u(-3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -37. Suppose t*z + 5*g - 326 = 0, -154 = -2*z + 4*g - 2*g. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289069 by -54.\nAnswer: -289069\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6*a - 6. Let k(q) = -2*q**2 + 11*q - 11. Suppose 1 = 3*y - 5. Let p = -4 - y. Let u = 6221 - 6210. Calculate p*k(c) + u*o(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t, -3*o + 27 = 3*t + 2*t. Let f(v) = 4*v + 10. Determine f(o).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 988 = -4*g, 5*g = 89*x - 94*x + 4990. Calculate the highest common divisor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 16 + 9. Let c = 53659 - 53657. Put -1, h, c, 4 in increasing order.\nAnswer: h, -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g**(-1\/3)*g*g*(g\/(g*g**(2\/11))*g)\/g*g\/(g**(3\/2)*g)*(g\/(g\/(((g**(-2\/7)\/g)\/g)\/g)))**40*g**(-4\/5)*g\/(g**(-2\/3)\/g) assuming g is positive.\nAnswer: g**(-294703\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(675))**2 - sqrt(675)) + (sqrt(3) + -1*sqrt(3) + 3 + 1)**2 + 4 + (sqrt(1344)*1)\/(sqrt(28)\/sqrt(36)).\nAnswer: 9*sqrt(3) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*l**4 + 206*l**2 wrt l?\nAnswer: -1200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 57, 85, 113?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6376 - 1795?\nAnswer: 49c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -642 - -640.5. What is the second smallest value in -0.1, 0, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408692477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2) + -1 + 1 - -2. Suppose -2*j - 3*s - 54 = -57, 4*j = -5*s + b. Solve 2 = 2*r + 2*k, j = 2*r + 2*k + k + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-1))\/(-8)*(-4)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let n(w) = -59*w - 13. Let j be n(-1). Let b(y) = -45*y + 13*y - j*y. Determine b(m(r)).\nAnswer: -156*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-26)*(62\/(-527))\/((-20)\/85)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357 + 419. Suppose -v*k + 69*k = 119. Solve -k*g = -15*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/77004 and 68\/45.\nAnswer: 385020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -d78d2f?\nAnswer: -d78d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + (2 + 23 - 10 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 5 + 5\/12*q**4 + 21*q + 14440*q**2 + 380\/3*q**3. What is v in x(v) = 0?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-5)*(5\/3)\/5*-6. Let u(t) = 6*t - 58. What is u(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1900) + 2 + sqrt(1900) + (sqrt(1900) - ((-1 + sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900))) - sqrt(1900))**2 + 0)*3.\nAnswer: 360*sqrt(19) + 22815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from dsfstry?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:31 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130351828 to the nearest integer?\nAnswer: 11417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -62) + (-4 - -1) + 4. Suppose -65*r + 135 = -c*r. Suppose r = 10*y - y. Solve y*a - 10 = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2919 times -0.116177?\nAnswer: 339.120663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5))**(-2\/153)*(w**(1\/16)*w)\/w*w**(-1\/16) assuming w is positive.\nAnswer: w**(2\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o + 23*o - 6*o)*(4*o + o**3 - 4*o) to s*o**4 + v + t*o**2 + f*o + c*o**3 and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27048996 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2453245 (base 6) to base 4.\nAnswer: 200020331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 181?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 13420.\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3671*g + 106. Is q(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1900)*2 + 1 + -1 + sqrt(1900) + 4 + 3)**2.\nAnswer: 300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 340.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from {t: 2, r: 1, m: 3, d: 1, n: 1, i: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 3116*f + 9312.\nAnswer: 4*(f + 3)*(f + 776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*60*(-11)\/198?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from qqotz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 + -162. Solve 5 = -t*f + 7*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420334133 (base 5) in base 10?\nAnswer: 1730543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let u be a(3). Let m = u - 1. Solve 0 = -3*i - i - 3*k + 9, -2*i = -m*k + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -19) + -7 - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 + 56. Let u(o) = o**2 - 11. Let k(c) = -2*a(c) - 11*u(c). What is the derivative of k(y) wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, q: 1, m: 4, s: 2, f: 1}. Give prob of picking 1 s and 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (8 - 4)) + 2. Let t be 0\/(j - (4 + -1)). Let s be 2\/8*(-3)\/(-6). Which is the nearest to -1? (a) s (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2749\/15 + -183. Let j(u) be the first derivative of 0*u + 1\/5*u**2 + 1\/10*u**4 - b*u**3 - 7. Factor j(x).\nAnswer: 2*x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 444623*i + 105375656. Calculate g(-237).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.6 - -84. Which is bigger: 16 or f?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/80 and 1\/28.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -25004 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-6))\/((-10)\/35). Let z = -916\/39 + o. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5485*o**2\/4 + 153*o\/2 = 0 for o.\nAnswer: 0, 306\/5485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112961 rounded to three dps?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11450.6433 and 1014603.\nAnswer: 1003152.3567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(288) - (sqrt(288) + (sqrt(288) - sqrt(288)*1)) - sqrt(288))\/sqrt(12))\/(sqrt(8) - sqrt(800)*-2)*4.\nAnswer: -4*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/29)*((((f**(-24)*f)\/f)\/f)\/f*f)\/f*f*f*f*f\/f**(2\/75)*f*f*f**(2\/29)\/f assuming f is positive.\nAnswer: f**(-45658\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:14 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(133)\/(sqrt(49)\/sqrt(7)) + -3 + sqrt(76)) + 0.\nAnswer: -15*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 807 and 2840371.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let n(z) = -170 - z + 170. Give n(j(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5173.5 * 5\nAnswer: -25867.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, 4\/7, -2\/21, 0.7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - k**4 - 3134*k + k**3 + 1122*k + 1408*k - 6*k**2 in the form r + v*k**3 + q*k**4 + z*k**2 + m*k and give m.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -45404524 (base 7) in base 13?\nAnswer: -a84648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one halves of a millennium?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 6) to base 9\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 7. Suppose -8 = 4*c, -2*h + h + 7 = -4*c. Let r be 1*(s - h) + -1. Let v(a) = a**2 + a + 1. Let n(y) = y + 1. Calculate r*v(i) + 2*n(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1872996, -1872999, -1873002, -1873005, -1873008, -1873011?\n\"Answer: -3*s - 1872993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -7. Put 2, i, -3 in decreasing order.\nAnswer: 2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 + 4*u**2 + 4*u + 3. Let s(j) = -10*j**3 - 7*j**2 - 7*j - 5. Determine 5*n(h) + 3*s(h).\nAnswer: -5*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66522 - 0?\nAnswer: -66522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11 - (-19888)\/(-2016)) + (-6)\/7 and 61\/3284?\nAnswer: 29556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 0*o**2 + 180 + 1\/2*o**4 + 106*o - 48*o**3. What is the derivative of c(z) wrt z?\nAnswer: 6*z**2 - 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from esffsefeeeffefe.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -7*d - 3625. Let u = -25 + d. What is u rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, c: 4, u: 2}. What is prob of picking 3 c and 1 u?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8198 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: Calculate 26\/(624\/132)*1.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/4 - n. Let m be 42\/28 + (3 + -2)\/2. Let c(a) = -18 + 14*a**2 + 18 - 16*a**m. Determine v(c(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**3 - 9*y**4 + 161 + 268 - 2*y**3 + 0*y**3 with respect to y.\nAnswer: -36*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/2 + 4. Let q = -786.2 + 786. What is the third smallest value in i, -3\/2, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1651.87088 to 1 decimal place.\nAnswer: 1651.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q - 14. Let s be p(-15). Let w = s - 73. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 9*f - 8*f.\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.44*0.3\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/84 and (3\/(216\/339))\/(1343\/(-158)).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 25 = -8*r. Let n(d) = 2*d**3 - 9*d**2 - 9*d - 4. What is the units digit of n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -24*(2 + (33\/12 - 5)). Solve 6*g - p = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(9)*1)\/(sqrt(270)\/sqrt(10)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -33*a**4\/4 - 117*a**2\/2 - 10*a + 1. Differentiate v(p) with respect to p.\nAnswer: -198*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12875581 and 15958?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10, 4*h - 36 = 2*i + 20. Let z(u) = -2*u + 21. Let x be z(8). Calculate the remainder when h is divided by (-5 + 6)\/(1\/x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:38 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*(4*r + 2 - 24*r - r + (-r + 2*r - 3*r)*(1 + 1 + 0)).\nAnswer: -25*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8df - 82?\nAnswer: a85d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7) + sqrt(14)\/sqrt(2) - (sqrt(567) + 1).\nAnswer: -7*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (4 + (-22 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19110 divided by 65\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*x - 20621152, 3*x = 4*i + 2*x + 41242294. Let f = i - -21310574. Suppose 3*n - 5*n + f = 0. Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4083067um to nanometers.\nAnswer: 408.3067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 5. Let u(r) = r + 1. Let f be u(-5). Let l be m(f). Suppose -t - 3*v + 12 = 0, -t - l*v + 9 = v. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 195*r + 192*r - 1 - 6 - 1 as q + x*r**3 + s*r**2 + v*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69211367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5454, 5443, 5408, 5337, 5218, 5039, 4788?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30866 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.355 - -882.645. Let n = 882.99286 - f. Round n to four decimal places.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(((-147)\/(-35))\/21). Solve 0 - 4*s**4 - 1\/2*s**5 + 7\/2*s - 3*s**3 + 4*s**n = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 3424.088308 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82098934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 - 110*a - 3000 = 0.\nAnswer: -20, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*s + 3*s. Let y(c) = -3*c**2 - 4*c**2 - 5*c + s*c**2 + 7 + 7*c**3. Let b(q) = -6*q**3 - q**2 + 4*q - 6. What is 5*b(f) + 4*y(f)?\nAnswer: -2*f**3 - f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (3 - 5 - -88). What is the remainder when 306 is divided by q\/(-1) - (-13)\/((-78)\/36)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -461838.\nAnswer: -461839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 24. What is h(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -478494*c - 2. Let k(r) = 5*r + 101. Give k(u(f)).\nAnswer: -2392470*f + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 4, d: 1, c: 5, b: 5, q: 1}. What is prob of picking 1 y and 1 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1355626\/123 or -11021?\nAnswer: -1355626\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 65 = -75. Solve -j*o = 5 + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from ddwddffdwdddc.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 4*r**5 + 7*r**3\/3 + 6. Find the third derivative of q(y) wrt y.\nAnswer: 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -146355*j**3 + 2*j**2 - 18*j + 11. Let b be u(-7). Round b to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 259, 391?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:12 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 + 5*o - 5. Let c = 0 - 5. Let n(f) = -5*f**2 - 4*f + 4. Let s(a) = c*n(a) - 4*q(a). Let b(d) = 0*d + 0*d - d - d. Determine b(s(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2344*m**2 + 5*m**3 + 2344*m**2.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*q - 7559, 4*x - 6141 = 5*q + 8982. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6231 (base 7) in base 14?\nAnswer: b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than -1113776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6591, -13159, -19727, -26295, -32863, -39431?\n\"Answer: -6568*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 201, 834, 2149, 4392, 7809, 12646, 19149?\n\"Answer: 41*z**3 - 28*z**2 - 6*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/2 + (-3)\/(-12)*-6. Let v(u) be the second derivative of -2*u + g*u**3 + 0 - u**2. What is the derivative of v(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Let j(g) = g + 8. Let i be j(-6). Suppose -4*r = -o - 12, i*o = r - 3*o + 16. What is the least common multiple of r and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 2*w + 1. Let p be c(3). Let l = 5 + p. Suppose 0*u + 5*u - 29 = -2*k, 0 = 3*k - 2*u - 15. Solve -5*d + b + 16 = 0, l*d + b + 12 = k*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 170*u**2 - 325*u - 40. Let v(y) = -13*y**2 + 25*y + 3. Suppose t - 3*t = 80. Let j(i) = t*v(i) - 3*a(i). What is the second derivative of j(h) wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -15. Let i = 167 + -164. Sort i, 4\/7, u.\nAnswer: u, 4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3*l - 2. Let p be y(3). What is the lowest common multiple of 1\/(-2)*4 + (22 - -2) and 8 + 0*p\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*b**3 + 3 + 35*b + 39*b - 106*b + 35*b - 14*b in the form j + g*b + h*b**3 + p*b**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**9\/22176 + h**8\/27720 - h**7\/6930 - h**5\/60 - 2*h**2. Let s(g) be the third derivative of n(g). Factor s(j).\nAnswer: 2*j*(3*j + 2)*(5*j - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, a: 2}. Give prob of sequence kakk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 5?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1401224 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/((-9)\/(-48)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (3 + 0 + -2 + (4 - 10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o - 12*o**2 - 3*o + 4*o + 1 + 2*o. Give w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 762, 764, 766, 768?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 28*g**2. Let l(n) be the third derivative of n**5\/30 + 25*n**3\/3 + 575*n**2 + n. Give l(o(b)).\nAnswer: 1568*b**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:16 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3920823 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 6*q - 10*q - q**2)*((0 + 0 + 2*q**2)*(-2*q - q + 4*q) - 2*q + q**3 + 2*q + 2*q**3 + 0*q**3 - 6*q**3 - q**2).\nAnswer: -q**5 + 15*q**4 + 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**3 - 2*g**2 - 8*g - 3. Is q(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**(-1\/3))\/x)\/x**(-8))**(-1\/7)\/(((x\/(x*x**(-2\/3)))\/(x*x**(-3)*x))\/((x\/(x**2\/x))\/x)**(-48\/7)) assuming x is positive.\nAnswer: x**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580186 by -4174.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, g: 2, x: 4, f: 3, d: 2}. Give prob of sequence xf.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f - 1. Let v(o) = -5*o**3 - 3*o**2 + 6*o - 2. Let i(y) = -6*s(y) + v(y). What is the remainder when 57 is divided by i(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {r: 1, t: 9, u: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104682161 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*(-6)\/(-1). Let d(i) = 3*i**3 - 3*i**3 - 2*i**x - 28*i**3 - i. Is 10 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45818, 91627, 137436?\n\"Answer: 45809*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40741, 81461, 122179, 162895?\nAnswer: 203609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2)*(-44)\/(-55). Suppose 2*s = 3*i - u, -2*i + 4*i + s + 1 = 0. Suppose i = -17*n + 12*n + 13405. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 0, -108747, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 - 2*b + 1. Let h be v(5). Let l = 197 - h. Calculate the lowest common multiple of l and 13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103789 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:00 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and -231\/890507 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491 a factor of 15989729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107184 divided by 912?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 527841403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2138, -3101, -4.\nAnswer: -3101, -4, 2138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (10 + -22)) + 2 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37082571013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 380 and 0.67?\nAnswer: 254.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3301332 and 612.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176))**2 + 0 + (-3*(sqrt(176) + -1))**2.\nAnswer: -72*sqrt(11) + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 3. Let f(i) = -17*i + 11. What is -6*f(p) - 22*u(p)?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354744 is divided by 27249.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d + 26965 = -9755. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 13) + 7 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*x + 13, -2*x = -68*l + 71*l + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 84 = -285. Let r = 136 + f. Solve -2*k - s - 7 = -0*s, 2*k = -3*s - r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*w - 1 + 6*w - w**3 + 0*w**3 as z*w + x + p*w**2 + r*w**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s**2 + 3*s - 6. Let i(h) = 6*h**2 + 43 - h - 2*h**2 - 41 - h**2. Determine 6*g(o) + 17*i(o).\nAnswer: 3*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 4*z - 3*z)*(-3*z - 2*z + 4*z) + 252*z**2 - 1059*z**2 - 155*z**2 - 592*z**2 as k*z + j*z**2 + u and give j.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -94? (a) -0.1 (b) 0.5 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67192826 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 14*g**2 - 6*g - 61. Let j be u(-14). Solve -y - 8 = -f, 0 = -4*f + 3*y - 2*y + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-272)\/(-32))\/((-1)\/(-22)). Let a = w + -184. Solve -a*l + 10 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 6*d)*(2 + 1 - 1)*(3*d - 3*d + 2*d)*(87 + 51 + 238).\nAnswer: -3008*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -34054*0.2\nAnswer: -6810.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) 1699230 (d) 0.6 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*((-24)\/3 + -2). Let a(t) = -t**3 + 9*t**2 + 9*t + 3. Determine a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -354, -532?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -83 (b) 3 (c) -0.223 (d) -5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/60 + 18*z**2. Let t(d) = -9*d. Give g(t(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 6*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y**2 - y. Let u(o) = -35*o**3 + 5*o - 43*o**3 + 5*o**2 + 71*o**3. What is -5*r(p) - u(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6609 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - -5. Suppose -2*y + q = 4*a - 3*a, -4*a + 5*y = -23. Suppose -3*v - 15 = -150. What is the remainder when v is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, -18, -4 in descending order.\nAnswer: 3\/13, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 - -217. Let i be -2*(0\/1 + 1). Put i, n, 5 in decreasing order.\nAnswer: 5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 + 148*u - 148*u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-12772)\/4278*69?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 655 and 4014757?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + 0.41. Let w = 196\/9 + -2566\/117. What is the nearest to -1 in m, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 367836 - 204516905\/556. Find the common denominator of n and -85\/4.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 + -511?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 23492581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-7)\/(-2))*180\/27. Let b(c) = 2*c**3 - 3*c**2 - 6*c - 17. Let u(q) = -q**3 + 2*q**2 + 3*q + 9. Let t(g) = 2*b(g) + 5*u(g). Is t(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.01 + 4. Let g = 5.01 + j. Let q be (-1 - -2)*19\/133. Which is the closest to 2\/3? (a) 0.5 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167702\/11 or 15245?\nAnswer: 167702\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000874713 to 6 decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 26720*x**3 - 4*x**2 + 26720*x.\nAnswer: 4*x*(x - 6680)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2\/5 + 7563*w\/5 - 135162\/5 = 0.\nAnswer: 18, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let a = 2 - n. Suppose 0 = -3*i + 5*q - 12688 - 4437, i = a*q - 5710. What is i rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and 140879866.4609?\nAnswer: 140879881.4609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -1173?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 6*u + 3. Suppose -10 = 2*o + 3*o. Let w(k) = 13*k + 7. Let f(h) = h**2 + 40*h + 22. Let c(b) = o*f(b) + 7*w(b). What is 6*c(q) - 11*p(q)?\nAnswer: -q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 30, 28, 24?\n\"Answer: -c**2 + 3*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -12. Let b(u) = 5*u + 2. What is the units digit of b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/120 - a**5\/10 + a**4\/4 - 5*a**3\/3 + 5*a**2. Let p be y(-7). Sort -4, p, -5 in ascending order.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 24*t**2 + 46*t - 53. Determine w(-22).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 10*s**3 + 11 - s**2 - 11*s**3. Let a be 0*4\/(-16)*-1. What is the units digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68575?\nAnswer: 5, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9850, -9849, -9848, -9847, -9846?\n\"Answer: j - 9851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2790)\/40)\/(5\/20). Let r = t + 541. What are the prime factors of r?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 16. Solve 2*p + 2*x - d = 3, -5*x = 3*p - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 331440?\nAnswer: 331451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*w = 60. Suppose 0 = -z - w + 32. Which is smaller: 23 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.2467 + 356.4887. Let r = l + -325. Round r to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (8 + -16)) + 2 + (6 - 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*(p\/(p*p**32\/p)*p)\/p)\/p)\/p**(-25))**(-3\/28))**20)**(-2\/73) assuming p is positive.\nAnswer: p**(-180\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5992, 5989, 5986, 5983, 5980?\n\"Answer: -3*s + 5995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 158564624*w - 158564626.\nAnswer: 2*(w - 1)*(w + 79282313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 15*m**2 + 5*m + 22. Calculate h(15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = m. Calculate the remainder when ((-3)\/m)\/(2\/(-60)) is divided by (31*1)\/1 - 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 15*s**2 - 5*s - 19. Let w be c(8). Let x be ((-18)\/(-4))\/(3\/40*w). Is x less than 37\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l. Let o(a) = 87*a**2 + 54*a**2 + 74*a**2 + 105*a**2 + 125*a**2. Give o(v(m)).\nAnswer: 1780*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135233432 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let d be (-1 + -3*r)\/(-1). Suppose 4*f - 9 = z, -5*z + 1 = -d*f - 2. Solve -z*h - 9 = -0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2240 + 11153\/5. What is the common denominator of (-6)\/10 - 1191\/(-135) and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17850*a - 20254*a + 55292 = 0 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -795*g**2 + 2957*g - 2?\nAnswer: -1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5256512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 18 = 3*m, -3*m - n + 0*n = 18 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from {j: 4, w: 7, g: 3, n: 1, h: 1, d: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 872, 876, 886, 902, 924, 952?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2604)\/155*-5*3 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -113374, -113668, -113962, -114256, -114550, -114844?\n\"Answer: -294*k - 113080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 10.41 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4760381kg in tonnes?\nAnswer: 0.0004760381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1240520 - 152?\nAnswer: 1240324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8829.7 - 8830. Let p = -2 - -3. Let o(d) = -d**2 - 3*d + 27. Let s be o(-7). What is the nearest to p in i, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-204) + 198\/17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 5*y - 25. Calculate h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/4*(-3 + (-6)\/(-18)). Let z(v) = 29*v + 47. What is the units digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 16*f**2 - 23*f - 36. Let u be b(-15). Suppose -7*w + 3*c = -2*w - 1, 2*w - 4*c = 6. Is 14 a factor of ((2*-3)\/w)\/(u\/784)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-17 - (11 + -23)) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 20371?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(208) - (sqrt(208) + 1 - sqrt(208) - sqrt(208))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(1890\/588*7\/3))\/(4\/590)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(112557\/3876 + -29).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 3, 1610?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(-1))*w)**50*(w\/(w*w**(-4\/3)))\/w**(-4\/3) assuming w is positive.\nAnswer: w**(158\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(370\/222*(-24)\/(-20)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3\/4021, 1\/9, -0.1?\nAnswer: -3\/4021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211 - -65. Let v = o + 150. Suppose 2*h + z = 139 + 156, -v*z = 5*h - 742. What is the remainder when h is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 38. Let x = 15 + g. Suppose -x*a = -2*a - 102. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 31, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 7*l - 18. Let p be n(2). Suppose -16*u + p = -15*u. Solve 3*b + 4 = u*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31950 is divided by 2868?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932 = -7*w - 6265. Let j = 2401\/2 + w. Is 31 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 312 - -27560125?\nAnswer: 27560437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 3*f**2 - 9*f**3 + 0*f + 3 + 9\/4*f**4 + 12\/5*f**5. Solve q(w) = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/840)\/((-3)\/4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 10. Let p = v - 2. Suppose -3*w = -5*w + p. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12) - (-3)\/(27\/201). Let a be (0 + 20)*(16 - k). Let w = a + 145. Solve -4*h + 9*h - w = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 24*z - 1437. Calculate x(61).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -19*g - 11. Let r(t) = 50*t - 181 - 11*t + 213 + 18*t. Let s(n) = 4*r(n) + 11*v(n). Differentiate s(f) wrt f.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -285.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 16*t. Let j be s(16). Which is greater: 2\/21 or j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 37 - 18 - 1388*d**3 - 656*d**3 in the form w*d**2 + l*d**3 + s + m*d and give l.\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14347 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 623*y\/2 + 1245\/4.\nAnswer: (y + 1)*(y + 1245)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 21 (c) 0.2 (d) 40 (e) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-78) - (-93)\/(-13). Let q be j\/((-14)\/12) - 3. Suppose 3*h = -q, -x + h + 3*h = -401. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479450824 to the nearest integer?\nAnswer: 21896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (122\/(-8))\/((-2)\/8*-1). Let i = -57 - x. Solve 0*f = i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 0*p**2 + 5 + p + 35\/3*p**3. Does 9 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 - 11*g - 8*g - g**2 - 5*g**3 - 1 + 20*g**2 + 13. What is v(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - c**2 + c + (-3*c**2 + 2*c**2 - c**2)*(-2 + 6 - 3) - 3*c**2 - c**2 + c**2)*(-2*c + 3*c - 2*c) to the form w*c + l*c**3 + y*c**2 + h and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -39*a. Let g be w(6). Find the common denominator of g\/12 + 1\/3 and 55\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 35. Suppose 0*w + 46 = 5*w + 4*f, -f - 20 = -4*w. What is the remainder when 147\/p - (-15)\/60 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 - 21029792*x - 55281518945408 = 0. Calculate x.\nAnswer: -5257448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4461, -17804, -40041, -71172, -111197?\nAnswer: -160116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w. Suppose -5*v + w = 5. Does 13 divide v\/(-2) + (-50)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Suppose 0*w + 4 = w. Suppose -w = 4*q - 24. Let j(f) = q*f**2 + f**2 - 3*f**2 - f**2. Give y(j(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10*r - 4*c + 22, -3*c = -r + 12. Solve 8*i = r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*j - 0*j. Calculate the lowest common multiple of (-14 - -4)\/(17*(-18)\/(-4284)*-4) and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201101 + 110?\nAnswer: 1201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*u + 159*u - 41*u - 2*u**2 + 555 - 1095 wrt u.\nAnswer: -4*u + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = 10*h + 201 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*3*6*5)\/(sqrt(6) - -3*sqrt(6)*-4 - ((sqrt(12)\/sqrt(2) - sqrt(6))*1 + sqrt(6))))**2.\nAnswer: 10125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 20*l = 10*l - 252 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = -2*t, -3*t - c - 9 = 2*t. Let z be t*(0 + (-2)\/(-4)). Is z - (1 + 0) - -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25133 + 9537 = 5*m - 5*t, -5*t = -3*m + 20788. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -919, -2228, -4061, -6418, -9299, -12704?\nAnswer: -16633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 422 + z + 529)*(2*z - 2*z**2 - 2*z).\nAnswer: -2*z**3 - 1648*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2223 and 2496.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25163?\nAnswer: 25163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-7 + 3 - -2)) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8. Does 3 divide 1 - y - (1 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**5 - 6*t**5 + 7*t - 2*t**5 wrt t.\nAnswer: -300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1865.7 and 282.\nAnswer: 526127.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941899.5 years to millennia.\nAnswer: 941.8995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdmr when four letters picked without replacement from mmdmdmdmrrrrcrdr?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let o be d(-2). Suppose o*c - c - 32 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 + -154. Solve -2*b - b - 4*v + g = 0, -22 = b - 5*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 10, 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c + 7. Calculate w(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12)*46\/(-575))\/((-5)\/75)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g)**(-7)*((g**(-3)\/g)\/g)**(-4\/13) assuming g is positive.\nAnswer: g**(137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 4. Let d be (-150)\/(-54) + 4\/f. Suppose -d*s + 14 = -s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.808 - 179?\nAnswer: -178.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2. Let o be ((-10)\/6)\/5*-6. Let g(j) = 0*j**2 - 2*j**2 + j**2 + 0*j**o. Determine g(l(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32670.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9497\/280 - 1765\/56. Factor 18\/5*o**2 + 8\/5*o**3 + 2\/5 + j*o.\nAnswer: 2*(o + 1)**2*(4*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-7 - -4) + 10 - ((-1 - -14) + 22))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2678183*j**2*s**4 - 3*j**2*s**2 + 7*j**2 - 204*j + 366 with respect to s.\nAnswer: 10712732*j**2*s**3 - 6*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 166*y**2 - 57*y**2 + 90*y**2 + (y + 2 - 2)*(-2*y + 2 - 2) - 1 - 2*y**2 + 1 - 4*y**2 + 2*y**2 + 3*y**2.\nAnswer: 196*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1019*u**6 + 13553*u**2?\nAnswer: -122280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2201 + -2a8?\nAnswer: -24a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-10 + 6 - (-5 - -2)) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 9) in base 14?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 4*w - 4. Give n(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 20 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3271 - 3681 - 3276 - 2*f + 13503 - 3275.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - i. Suppose -i*s - 4*g + 3 = -3, 3*g = 5*s + 50. Which is the biggest value? (a) 2 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (-1 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2. Let x(w) = 25*w**2 - 1. Calculate q(x(f)).\nAnswer: 2500*f**4 - 200*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 2*n + 3, -2*u + 4*n - 13 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9024 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 - 7 = 3*c, b - 6 = c. Let q(z) be the third derivative of 0*z**3 - 1\/72*z**b - z**2 + 0*z + 0 + 1\/180*z**5. Factor q(u).\nAnswer: u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 2, b: 3}. What is prob of sequence bbxr?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00760966 to 5 decimal places.\nAnswer: 0.00761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let n(x) = 10343*x**2 + 326. Give n(a(l)).\nAnswer: 10343*l**4 + 326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 422*h + 143464. Give u(-340).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 318 - 318 + 3*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -acc (base 16) to base 11\nAnswer: -2093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 10, -1, -18, -41, -70, -105?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1144\/390*3*(100\/8)\/(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = 0, 5*m + 5*p - 1072 = 28. Suppose -c = -5*b + m + 191, -c = 4. Let j be (2 - 159\/b)*2. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**4)\/r*r**(-2\/3)*(((r\/r**(-1))\/r)\/r)**(-3\/7) assuming r is positive.\nAnswer: r**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33805629*a**4*u**3 + 2702*a**2*u**2 + 3*a**2*u - 2*a*u**2 + 15*u**3 + u**2 wrt a.\nAnswer: -811335096*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, 4, -5 in descending order.\nAnswer: 4, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10791351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -183. Calculate the smallest common multiple of 12 and f*(21\/9)\/(4\/(-6)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -40, -4.\nAnswer: -40, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 18. Calculate z(-22).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-3)\/2)\/((-66)\/132). Let a be r*(-12)\/(-6) + 16. Solve -6 - a = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + 45\/10. Let h(n) be the second derivative of -n**5\/20 + n**4\/2 - 2*n**3\/3 + n**2\/2 + n. Calculate the lowest common multiple of 11 and h(b).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(3) + sqrt(12))*5)\/((sqrt(100)*2 - sqrt(4)) + (sqrt(4) - sqrt(40)\/sqrt(40))))**2.\nAnswer: 100\/1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -23. Let h(y) = -14*y + f*y - 1 + 1. Let d(l) be the second derivative of -7*l**3\/6 - 6*l. What is h(d(t))?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1998 and -35\/8966682.\nAnswer: 995301702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 8 = -g. Suppose 3*m + 142 = g*m. Find the common denominator of (-12)\/(-18) - m\/(-42) and -53\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -230?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5823448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154 less than -1.1?\nAnswer: -1.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 9*q**4\/4 + q**3\/3 + 3. Calculate v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109842 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 632*(-83)\/(37184\/(-24))*(-7)\/(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1828746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oio when three letters picked without replacement from iooioiioioii.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 35 in ascending order.\nAnswer: -2, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5 - (4 - 1)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((1\/12*1)\/((-321)\/(-14124))).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-65)*5\/(-150)*-5.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g - 24. Let m = 6 + g. Let n = m + 7. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/58 (b) -1\/4 (c) -0.2 (d) 2\/5 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = 4*i - 46. Solve -i*s + 2 = 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 316264315\/2981008072 - 2\/3131311. What is the common denominator of d and -65\/1224?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from yyoyyyoyyyoy?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101002100 (base 3) to base 8\nAnswer: -16271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -7*o + 3*o. Suppose 0 = -p - o - 3. Let v = p + 40. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -35*d + 31. Let a be q(-6). Suppose 2*g = -4*p + 368, -4*g + 2*p - a = -997. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/33506784 and -163\/95418.\nAnswer: 636628896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*x - 3*w, -5 = 4*x + 3*w - 0*w. Which is bigger: 4\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 1440.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121560, -243107, -364654, -486201, -607748, -729295?\nAnswer: -850842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, 449, -1\/5, -12, 4?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -7. Suppose 6*a - 2*a + 4 = 0, -3*y - 7 = a. Let h = k - y. Let q(b) = b**3 + 4*b**2 + 3*b + 1. Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290478650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y + 1076*y - 6740 = -225*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 2*p**2 + 3*p**2)*(0 - p + 0) - p**3 + 32*p**3 - 17*p**3 - 4*p**3 - 13 + 13.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 46*f**2 + 4*f. Let t(z) = -7*z - 4*z + 13*z - 3*z - z. Calculate t(u(g)).\nAnswer: -92*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 559, 4339, 14585, 34531, 67411, 116459?\n\"Answer: 539*k**3 - k**2 + 10*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000011 + 10110101?\nAnswer: -11101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 = -15. Suppose -t = -u - 2. Calculate the least common multiple of t and (-2)\/16 + (-129)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 672397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41290, 41289, 41288, 41287?\nAnswer: 41286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*z**4 + 19*z**4 - z**4)*(0 + 0 + z)*(0 - 2 + 1).\nAnswer: -36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 13*o - 11*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 + 82.5. Round m to zero decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51038 or -51047?\nAnswer: -51038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 6)*1 - (-792)\/72. Factor -8 - 21617*r**2 + 21633*r**2 + 4*r - o + 4*r**3.\nAnswer: 4*(r - 1)*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11040301023 - -1?\nAnswer: -11040301022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (18 + -5 - 3) + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/8183880 and -1\/84.\nAnswer: 57287160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 4 + 94*u**2 - 2.\nAnswer: 94*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.3, -0.4, 301, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -851\/9 + 95. Let m(h) = 2*h**2 - 1. Let i be m(1). Is i at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 - r. Let g be u(-4). Suppose -4*c - 28 = g*y + 60, 4*c + 88 = -3*y. Let o = c - -38. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**3 - z**2 - 94*z + 2. Let i(l) = -5*l**3 + l**2 - l - 2. Calculate -i(q) - k(q).\nAnswer: -3*q**3 + 95*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1)*3 + (-777)\/(-84).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Let c be -2 - (0 - (r - -3)). Solve -5*g + c*u = -19, -3*u - 5 - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 + -1 + (7 - 2) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127345 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -45 - 2*w**2 - 45 + 90 - 52*w. Let x(p) = -2*p. Calculate m(x(q)).\nAnswer: -8*q**2 + 104*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*84\/112*31\/(-3) - -8. What is t in -1\/4*t**2 + 1\/8*t + b - 1\/8*t**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1062433, -20.4.\nAnswer: -20.4, 3, 1062433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - y - 1 = 0, -2*y - 8 = -0*y. Let q = -1759 + 1758. Sort 18, 5, q, h.\nAnswer: q, h, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*n = 320, -n - n = 5*b - 1556. Suppose -3*t + 241 - 45 = 2*q, -5*t + 4*q = -b. Suppose -6 = 2*o, -2*o + 20 = 2*k - t. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/(4\/36). Let b(q) = -q**3 - 7*q**2 - 5*q + 13. Let p be b(v). Let o(n) = n**3 - 4*n**2 - 13*n + 4. Is o(p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 647753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)\/(f*f**(-2\/19))*((f**2*f)\/f*f)**(-18) assuming f is positive.\nAnswer: f**(-1081\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3191, -3241, -3331, -3479, -3703?\n\"Answer: -3*y**3 - 2*y**2 - 23*y - 3163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 4*y**3\/3 - y**2\/2 + 4. Let d be z(1). What is the third derivative of 3*p**5 - p**6 - d*p**5 + 4*p**2 - 2*p**6 wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-8)\/(-28))*(-14)\/28*4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -9*y + 4*n, 0 = 45*y - 48*y + n - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 - l**2)*(-47*l**2 + 1 - 15 - 29 - 50).\nAnswer: 94*l**4 + 186*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 99 = -0*u - 5*y, u = -4*y + 16. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = -4*u. Let b = 2 + 3. Let x(v) = 3 - 5 + 1 + b - 5*v. Let m(z) = 6*z - 5. Calculate u*x(k) - 4*m(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -78036873483 less than -12?\nAnswer: 78036873471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from nhngnyqqgq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 35*l + 8598 = 22*l + 11277 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-26))\/(33\/94809*13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-19) assuming v is positive.\nAnswer: v**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4275\/(-12))\/19*((-2)\/12)\/(5\/20).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -159, -285, -509, -831, -1251, -1769?\n\"Answer: -49*y**2 + 21*y - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 16, j: 4}. What is prob of picking 2 f?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1375*w**2 - 22*w + 2212. Let j(g) = -275*g**2 - 4*g + 442. Let p(v) = 11*j(v) - 2*s(v). Differentiate p(k) with respect to k.\nAnswer: -550*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3416.06 decades?\nAnswer: 409927.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -0.2325772?\nAnswer: 0.3325772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-five quarters of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 53. Let k be c(12). Let q = 206 - k. Solve 0 = 4*r + 1 - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 873153277628 - 873152041472.299897. Let x = m + -1236139. Let h = x + -16.7. What is h rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*v - 33 = 93*v. Let t = 6 + -2. Suppose -6377 = -v*l + t*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8432 + -16568. Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-3\/7)))\/n**5)**11\/(n\/(n\/n**(-6\/11))*n**(-1\/7)*n*n**(1\/4)*n**3\/n*n) assuming n is positive.\nAnswer: n**(-13197\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 269959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -3. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 2089522187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 w when three letters picked without replacement from yywyywy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 b when four letters picked without replacement from {b: 3, g: 1, y: 4, f: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 185, 1\/8 in increasing order.\nAnswer: 1\/8, 5\/3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l + 85. Let i(c) = -3*c**2 - 17. Let h(z) = z**2 + 6. Let y(v) = 4*v + 2. Let g be y(-3). Let d = -16 - g. Determine d*i(q) + l*h(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 77 = -7*t - 1469 - 242 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + -3*((1 + sqrt(180))*-6 + -5*(sqrt(180) + ((2*sqrt(180))**2 - sqrt(180)) - sqrt(180)) - ((sqrt(180) + (sqrt(180)*1 - sqrt(180)))*3*-3)**2).\nAnswer: 18*sqrt(5) + 54559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -136*q**2 + 2064477*q\/4 + 11385\/4 = 0.\nAnswer: -3\/544, 3795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let f = l - 7. Is f + 3 - (-3 + 0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000007566 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((-24)\/(-36)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6234633 is divided by 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2)*t)**26*(t**(-7)\/t*t)\/(t*t\/((t*(t*t**(2\/37)*t)\/t)\/t)))**(-18) assuming t is positive.\nAnswer: t**(-37998\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2102, -0.2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 5400 = 2*m. Let i = m + 1823. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1686236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 63 - 23. What is the third derivative of -5*n + 0*n**2 - 9*n + 2*n**3 - 7*n**2 - g*n**2 - 5*n**5 + 12*n wrt n?\nAnswer: -300*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = 92 - 20. Let v(y) = -y**2 - 5*y + 1. Let z be v(-6). Sort z, a, -4.\nAnswer: z, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + -484?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -9. Suppose 4*n + v - 55 = 0, -2 = -3*n + 5*v + b. Suppose 0 = n*w - 12*w - 1. Solve 3*u - 5 = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44bb17 (base 13) to base 4.\nAnswer: 12030311312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0145 - -34.0145. Sort -5, b, 0.1 in decreasing order.\nAnswer: b, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:07 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28491, -28493, -28495, -28497, -28499, -28501?\nAnswer: -28503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000987 and 507.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 7:25 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**3 - 8*w**2 - 8*w - 8. Let q(y) = 5*y**3 - 5*y**2 - 5*y - 5. Give -5*k(z) + 8*q(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 10 = 0. Let b = n + 6. Suppose p = -p + b. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -18 - ((44 - -9) + -37).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143452142 + 0?\nAnswer: 143452142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 86 (c) -2 (d) -3\/2 (e) -11.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583871.\nAnswer: 3, 41, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3223)\/(-55) + -59)\/(252\/14)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -65. Suppose -3 = -102*q + 101*q. Solve q = 3*r - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2136 + -21381\/10. Let q(m) = m**3 + 4*m**2 + 7*m + 5. Let z = 41 - 43. Let t be q(z). Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 16*u**2 + 35*u + 15. Calculate r(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -b, 5*b - 13 = r + 4. Solve 3*s - 6*s - b*x - 25 = 0, 3*s - 4*x - 7 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - q**2 + q - 2. Suppose -4*g + 2*g = -6. Let i(j) = 7*j**3 + 3*j**g + 3*j - 8*j - 7 + 6*j**2 + 18. Calculate 2*i(f) + 11*r(f).\nAnswer: -2*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -4002144?\nAnswer: 4002162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:51 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 10. Suppose 0 = x - 3*x + r. Solve -m - 12 = -x*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19832a8 (base 12) to base 9.\nAnswer: 11135212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 4, s: 2, m: 1}. What is prob of picking 2 s and 1 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -289519.602664 - -6.6\nAnswer: -289513.002664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - 47?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2544150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 46812, 100, 0.1 in descending order.\nAnswer: 46812, 100, 10, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8.963 times 279.21\nAnswer: 2502.55923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(500)*-1*-2 + -2*(4 + -1 + sqrt(500)))**2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - t - 2*t = 144, -3*l + t + 230 = 0. Calculate the highest common factor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 145*w + 2. Let u be y(4). Suppose -18 + 18 = 2*o. Suppose o = -4*q - 18 + u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hwhkhsswkgts.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 556, 1826, 4276, 8296?\nAnswer: 14276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-1)\/(2\/(-6)). Let i be 0 + (k - -1) - -2. Let y(f) be the second derivative of -f**5\/5 - f**4\/12 - f**3\/6 - f**2\/2 - f. Give y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16800538.\nAnswer: 2, 8400269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - 151. Suppose 0 = n*b - 686 - 172. What are the prime factors of b?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/300 - 53*s**4\/120 - 47*s**3\/5 - 12*s**2 - 11*s - 2. Find b such that m(b) = 0.\nAnswer: -47, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -133*u**3 - 14*u**2 + 7. Let b(s) = 66*s**3 + 8*s**2 - 4. Let c(z) = -7*b(z) - 4*h(z). Let p(a) = -10*a**3. Determine 3*c(w) + 20*p(w).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7 - -4) + (-1215)\/(-198) + -5.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 50. Suppose 0 = 5*m, 5*m - 47 = 2*x - 197. What is the greatest common divisor of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(1\/2)\/s*s))**49*(s\/((s\/(s*s\/s**(1\/2)))\/s))**(8\/9)*(s**(-1))**3\/(s**(-2))**(37\/5) assuming s is positive.\nAnswer: s**(-5353\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 5*u + 5*s + 186 = 0, 5*u = -20*s - 77 - 703 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 2*l**2 + 8*l + 5. Let f be i(6). Let g = 869 - 863. Let o be 13\/(f\/g)*-7. Is o at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 135 = f, -2*x + 2*f - 74 = -5*x. Suppose 3*j - j = x. Find the first derivative of -6 + s**2 - 14*s + j*s wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 765?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 3*y - 3, -3*m - 5*y - 9 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-566)\/(-14) + 3\/(-7). Suppose -8 = 2*o - 2*w, -5*w = 2*o + 3*o + d. Let z(c) = -c**2 - 7*c + 2. Calculate z(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 0*x**3 - x**3)*((-1 + 0 + 2)*(0 - 1 + 2) - 4 + 7 + 2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i)\/(i\/((i\/(i**(-2)\/i))\/i)*i))\/(i**(-1))**19*(i**(1\/10)*i*i\/(i*i\/i**(1\/4)*i)*i)**10 assuming i is positive.\nAnswer: i**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-30)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 14*g - 6. Let j be n(-16). Let z(i) = -i**2 + 40*i + 36. Is z(j) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1428, -2860, -4292, -5724, -7156, -8588?\n\"Answer: -1432*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i. Let j be o(-3). Is (j + -8)\/(1\/11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 365 - 361. Suppose -2*z = -5*r - 145, 291 = 4*z + d*r - 41. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 6. Let l(o) = 2*o - 3 + 1 - 8 + 5. Let v(c) = -6*l(c) - 5*n(c). Let m(u) = 2*u - 3*u + 4*u. Give 5*m(f) + 2*v(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 11*t - 5. Let f = -288 - -288. Suppose 22*c - 25*c + 27 = f. Determine m(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 - -205. Let r = 88 - f. Calculate the remainder when r is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 4\/5, 5\/3, 3\/11, -17\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 755006 and 94724?\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3812 + 353*z**2 + 153*z**2 - 3812. Let l(s) = -s**2. Determine o(l(m)).\nAnswer: 506*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -719*k**3 - 1686*k**2 wrt k.\nAnswer: -4314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693954.27ms to days.\nAnswer: 0.008031878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36103, -71308, -106513, -141718, -176923, -212128?\n\"Answer: -35205*l - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-65))\/((-12)\/(-10)). Let a be (-2 + -1)\/((3 - 1) + -3). What is the second biggest value in a, 2\/7, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b + 4?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or 1\/9?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5004146\/15 or -333611?\nAnswer: -333611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*o. Let b(p) = 7*p - 6. Let s be b(o). Let t(c) = -c**2 + 17*c - 28. Let f be t(s). Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -40*z - 1. Let j be a(3). Let c = j - -173. Let k = c - 22. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1186 and 4.\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5946 and 162?\nAnswer: 160542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 223725060*a**2. Let w(j) = -2*j**2. Calculate w(b(k)).\nAnswer: -100105804944007200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4544 * -4\nAnswer: -18176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 5 = 18*m + 3*q, 2*q = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (111\/(-148))\/((-3)\/20). Sort 3, -4, p, 4.\nAnswer: -4, 3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3641.444 centuries to millennia.\nAnswer: 364.1444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j*j*j\/(j*j**(2\/7))))*j))\/j*j*j*j)\/j**(1\/7))\/(j**(-13)\/(j**(-1\/9)*j)) assuming j is positive.\nAnswer: j**(884\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2. Let f(y) = -101*y**2 + 12*y + 12. Let k(z) = 6*z + 4*z + 3154 - 100*z**2 - 3144. Let l(o) = -5*f(o) + 6*k(o). Give q(l(m)).\nAnswer: 9025*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 1234345227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2679 divided by 893\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -20617.3?\nAnswer: -20619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -j - 2*s, 0 = 5*j - 2*s - 13 - 8. Solve -5*a + 16 = 2*k, 4 - j = -5*a + 3*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*g = 94*g + 50. What is the third derivative of -q**3 - g*q**2 - 4*q**2 - 57*q**4 + 2 + 10*q**2 - 6*q**2 wrt q?\nAnswer: -1368*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121284404 by -30321101.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.9, -1, 202\/17 in decreasing order.\nAnswer: 202\/17, 0.9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 6}. Give prob of sequence vovv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flllllllf. What is prob of picking 1 f and 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 4*u**2 + 4*u - 2. Let z be w(3). Let b be 1 + (-1 - (0 + z)). What is the nearest to b in 4, -2\/9, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*v + 118*v = -1575. What is the highest common factor of v and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 9*z + 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1855 - 1854.8. Let p = -1.931 + 0.031. What is the biggest value in g, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) -0.01 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 3, k: 2, x: 2, m: 4, y: 6}. Give prob of sequence kkea.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.874 + -0.1272086?\nAnswer: 14.7467914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:30 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8 + 2, 3*i + 3*a = -1839. Let f = 425 + i. Calculate the common denominator of -31\/36 and 5 + -3 - f\/(-140).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -7*n**3\/3 + n**2 - n - 21. Calculate v(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -0.1, 172.\nAnswer: -0.1, 5, 9, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27218 - 27218.31. Sort f, 5\/2, -5 in ascending order.\nAnswer: -5, f, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3 + 3. Let h be (l + 1)\/4*3. Let n be (-5952)\/(-2790) - (-4)\/(-2)*1. What is the nearest to 0 in h, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 476, 485, 494?\n\"Answer: 9*h + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*l + 105, -12*n = 4*l - 8*n + 108. Let p be l\/18 - (-8)\/6. Solve -3*g + 0*g - 3 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p - 1405 = -539 + 2265 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35490227.\nAnswer: 61, 223, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10595.6 and -0.051.\nAnswer: 10595.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 5*s - 1. Let j(z) = -6*z**2 + 46*z + 25. Let k(q) = -5*a(q) - j(q). Determine k(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/38 - (0 + -5) - -6. Solve -3*j - 3*n + t = 2*n, 5*j + n - 2 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - ((33 - 139) + 26)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726484948 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.04\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11)*t**(-1\/4)*t**(1\/4)\/(t**(-6)*t))\/((t*t**(-4)*t**(-6))\/(t*t*t**(-2\/7))**(-8\/3)) assuming t is positive.\nAnswer: t**(740\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/20 + k**4\/3 - k**3\/6 - 2*k**2 + 12*k. Let r be w(-4). Suppose 0 = -2*n - 0*n + 6. Solve -3*p + r*p = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 165366863 and 0.0337.\nAnswer: 165366863.0337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d. Suppose d*n - 44 = -2*n. Suppose 5*o + 7 - n = 0. Solve 4*f - 24 = -2*t, -o*t + 0 = -2*f - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-8)\/((-120)\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -332 - -338. Solve 12 = -p*c + 5*c + 3*y, 6 = 3*c + 5*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 280021*w**4 - 2*w**3 - 2*w**2 + 5372895 wrt w?\nAnswer: 1120084*w**3 - 6*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 167*g**2 - 3784*g - 212. Give l(-27).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**8\/3864 + 4*w**7\/2415 + w**6\/345 - 19*w**2. Factor r(m).\nAnswer: 2*m**3*(m + 2)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 530620.\nAnswer: -7\/530620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzxzzzz. Give prob of picking 3 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/108)\/(-5))\/(((-655)\/(-3799))\/((-40)\/(-145))).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -82. Let f(m) = -15*m - 1. Determine f(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 95)*4\/(-3). Suppose -141*q = -g*q - 189. What is the highest common factor of q and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 11*n + 10. Let b be v(6). Suppose w = b*w + 6*w. Suppose -4*s + 5*l + 355 = w, 3*s - 179 = s + 3*l. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 14*s**4 + 3*s**3 - 11 - 4*s**2 + s**4 + 14*s**4 to the form b + w*s**2 + t*s**4 + j*s + o*s**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.1316 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x + 1398. Let p(r) = -14*r - 1391. Determine 4*b(h) + 3*p(h).\nAnswer: 2*h + 1419","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -40 + 12. Let d(x) = -x**3 - 3*x**2 + 7*x + 6. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/13 + 4630*i**3\/13 - 2633412*i**2\/13 + 10478152*i\/13 - 10459664\/13 = 0.\nAnswer: 2, 989, 1322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:28 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 724 - 434. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00139794782 rounded to five decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67842669?\nAnswer: 3, 22614223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*(j*j**(9\/4))\/j)\/j)**(-24)\/(j**21*j*j*j*j**4*j) assuming j is positive.\nAnswer: j**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231020 (base 5) to base 2.\nAnswer: 1101011101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-448)\/(-3) - 8\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = 15*a + 334 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32883*l**3 + 110073*l**3 - 23574*l**3.\nAnswer: 119382*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j**3 - 41*j**3 - 24*j**3 + (-j + 0*j + 3*j)*(0*j**2 + 6*j**2 + 0*j**2))*(-4*j**2 - 2*j**2 + 5*j**2).\nAnswer: 42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 2:58 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 + j**2 - j. Let x be w(1). Solve 4*t + z = 3, -3*z - 3 = -x*t - 4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 2.1 (c) 5 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, -1, 3, 4.\nAnswer: -1, 3, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 57. Let k be 8 - ((3 - 1) + 0). Let k*p + j*p - 4*p - 2*p**2 - 4*p = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21716 take away 22.707?\nAnswer: -22.92416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -66, 1021.7, 3\/4, 4?\nAnswer: 1021.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72623749111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26851 from -3533.\nAnswer: -30384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46700609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -208 and -205 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670683 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndndndddnddnn. What is prob of sequence nd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - w - 4034218 = 0, 0*w + 2017112 = -2*y - 2*w. Let d = y - -2198554. What is d rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.419177 + -0.48?\nAnswer: 74.939177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178448313, 178448312, 178448311, 178448310?\nAnswer: 178448309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -450989\/92 + 4901. What is the common denominator of 95\/506 and c?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 25*r + 196. Give o(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let g(u) = -671*u + 143. Let b be (2 - 12 - 2)\/2. Let l(a) = 28*a - 6. Let r(z) = b*g(z) - 143*l(z). What is d(r(v))?\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 154610834.\nAnswer: -3\/154610834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 155 + 298 + 261 = -20*l, -2*l - 38 = -2*o for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.6. Put 0.1, c, 4 in descending order.\nAnswer: 4, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 60 - 86. Suppose 0 = v*n - 37 - 28. Solve n*g - 4 = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 4*u - 24, 0 = -3*f - 3*u + 36. Solve -i = -4*i + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89\/8 + -91\/8. Which is the closest to g? (a) -4 (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354352 is divided by 286?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 18 - (-5 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2258014 and 3126.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 4*o**2 + 10*o**2 to t*o + q + l*o**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 27711142286849\nAnswer: -27711142286852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-204) - (14 - -2)\/48.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743986 - 933815519.\nAnswer: -933071533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1708*p - 205*p - 1 + 1.\nAnswer: -1913*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r**2 + 2*r + 7. Let y(j) = -13 + 7 - 4*j**2 - 2*j - 6*j**2. What is 6*u(m) + 7*y(m)?\nAnswer: -4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -89207, -178449, -267691, -356933, -446175, -535417?\n\"Answer: -89242*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:36 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 13. Let o = 13 - c. Let n be (-4)\/14 + (-32)\/(-63). What is the closest to -0.1 in 0.5, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 9*g + 12608 = 4*u, -u = 3*g - 37802. Suppose 14*m + g = 29*m. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 1. Let q(g) = -4*g - 17. Let c(u) = -u - 4. Let r(b) = 26*c(b) - 6*q(b). Give -2*r(n) + 2*v(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -327.9 and 0.3.\nAnswer: -98.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2\/3)*(-55 - -49). Let p(t) = -2. Let r(i) = i - 3. Give k*p(u) + 3*r(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1)\/7*-3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z - 14. Let c be j(-5). Let q = c + -25. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/21 and 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32548 and 3476?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + -2. Let g = z + 26. Let d be (-3)\/4 + 87\/84. What is the nearest to 0 in 2\/21, g, d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -2 + 1 + -5 + sqrt(243) + -1 + 3*(-4 + sqrt(243)) + 2)**2 + 1.\nAnswer: -1530*sqrt(3) + 6365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 0 - 3 + 3 + 8 - 6.\nAnswer: -31*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9 + (-335)\/(-3). Let b be 6\/(-5)*(4 - -1). Let v be (-147)\/(-9) - (-2)\/b. What is the highest common divisor of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693177810 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/3 + 249*c**2 + 6025*c\/3 + 3775 = 0.\nAnswer: -5, -3, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + 8*(-8)\/8. Suppose 0 = t + 3*d - 1139, 5 = d - r*d. List the prime factors of t.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = -g. Let p = 17 - 17. Suppose 3*w - 15 = -p*w. What is the remainder when g is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w - 2. Let s be v(5). Suppose 4*u = -l + 12, -4*u + 7*u + 4*l = 22. Let q = s - u. What is the second biggest value in -3, q, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12733 greater than 12755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2)*t**(5\/6)*(t**2)**(-8) assuming t is positive.\nAnswer: t**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 88168112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*z**2 + 19*z**2 - 53*z**2 - 144*z**2.\nAnswer: -579*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:59 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463917 is divided by 15119.\nAnswer: 14639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10 and -33\/3053.\nAnswer: 30530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 8 - 10. Find the common denominator of 91\/(-49) + 0\/o and 47\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -164.\nAnswer: -61\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 - 13. Let b be i(0). Let s(p) = -p**3 - 12*p**2 + 9*p + 5. What is the remainder when s(b) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7960690 and 19\/615870.\nAnswer: 214938630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 - 3) - (9 + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11071*z**2 - 2827*z**2 - 2749*z**2 - 2743*z**2 - 2750*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, n: 3, j: 1, u: 2, x: 7}. Give prob of picking 2 x and 2 u.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 315*m**2*y**3 - m**2 - 46*m with respect to y.\nAnswer: 945*m**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*a - 8 = 0, 755*a - 753*a + 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.2, 167\/7, -1\/3, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:34 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 5*w**2 + 7. What is the remainder when s(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 102*h**3 + 0 - 1 - h**2 + h + 3 + 10*h**3. Let m be r(-1). Let l = m + 175. Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6226*x**5 - 1817*x + 3?\nAnswer: 124520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 59) + -29 + 128 - (0 - 1).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*a + 3*c - 2793, 2*c - 1114 = -2*a. List the prime factors of a.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -7 - (-9 - -49)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 21 = f - 0*f, -8 = 2*f + 2*d. Suppose -44 = -3*l + f. Suppose 3*c + l = 2*t, 6*c = -t + c - 25. Solve -3*i = -j + 1, 4*i - 2*j + j = t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 443, 33, -4, -5, 0, 3 in increasing order.\nAnswer: -5, -4, 0, 3, 33, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1337757*n**5 - 39*n**2 - 689*n + 10.\nAnswer: -80265420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9045 + -9046.3. Sort t, -4, 17 in descending order.\nAnswer: 17, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 6. Let b be s(-5). Let x(j) = 2*j**2 + 1. Let v be x(b). Suppose -6*d + 93 = -v*d. What is the remainder when 90 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/138 - (2 - (-370)\/(-45)) and -80\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*6\/(-12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 12*t**2 - 20*t + 4. Is x(14) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1217089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143210.\nAnswer: 2, 5, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054112125 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -2 - -5 - 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63, 58, 41, 6, -53, -142?\n\"Answer: -x**3 + 2*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00321377 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**3 - 1. Suppose -l = -5*l + 4. Let o be x(l). Suppose o = -3*v + 103. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144428*-19\nAnswer: -2744132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/((p**(1\/5)\/p*p*p)\/p))**40 assuming p is positive.\nAnswer: p**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785, 1572, 2359, 3146?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)*(-6)\/(-12). Let i be 2\/(-2 + 3) - -4. Suppose -i + t = -c. Calculate the remainder when 11 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 9) in base 4?\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 630*a**3 - 19205*a**2 + 40320*a - 20480.\nAnswer: -5*(a - 1)**2*(a + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391415350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.1. Let o = 25 - 20. Sort o, 0, w in decreasing order.\nAnswer: o, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -641 + 647. Calculate the greatest common divisor of r and 1692.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/((-6)\/8). Suppose 4*m - y*m = -3*d + 37, -d = 3*m - 59. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12 and -67\/448?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 + 6*m - 6. Let c be -7 - 18\/((-36)\/(-6)) - -6. What is the remainder when -94*(-2 + (c - 2) + 7) is divided by t(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2797 - 2797. Which is smaller: 2\/31417 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(3)*2)**2 + sqrt(3) + 2 + 1).\nAnswer: -306 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5010381 by 1670127.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 0, 4*q = 4*z + 2*q - 12. Solve 0 = -z*c - 2*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5383785 and 330?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1029 and -0.022839.\nAnswer: -23.501331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**2 + 3291577*m\/2 - 137149.\nAnswer: -(m - 274298)*(12*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51710 is divided by 1478?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 30. Determine a(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 + 4*r + 6. Let h be j(-3). Let a(q) be the first derivative of 0*q + 1 - 6\/5*q**h + 2\/5*q**2. Factor a(f).\nAnswer: -2*f*(9*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 - 5*z + 7. Let s be x(-6). Sort s, 6, -2, 2 in increasing order.\nAnswer: -2, s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(44) + 1 + sqrt(11)*-2))**2 - (-5 + (sqrt(1584)*-2*5)**2 + 1).\nAnswer: -158392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*m + 2*m = 3, w = -5*m - 18. Let g(o) = -o**2 - 5*o - 4. What is the units digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26727)\/(-1359) - 4588\/(-111)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*v + 15 = -52, -15*i + 19*i - 54*v + 1735 = -151 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2283031 - -3?\nAnswer: -2283027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19454*x - 19433. Give c(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*q + 75*q - 18496 = -323*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2852 = 12*w + 2116. Let v = 1246\/3 + w. Solve 2*p**3 + v*p - 1\/3*p**4 - 3*p**2 + 0 = 0 for p.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let x = 5.9 + -6. Let u = -33 + 31. What is the nearest to r in x, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 3 (c) 7\/2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Suppose w*s - 10 = -2*s. Let x(q) = s*q + 2*q - 2*q - 4*q. Let n(p) = -4*p**2. Calculate x(n(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Suppose -o + 24 = o. Suppose -3*m - m = -o. Calculate the lowest common multiple of m and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-2)\/(-21) - 1172\/(-42).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3483795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -3, -326 in descending order.\nAnswer: 26, -3, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b - 26 - 20 + 1.\nAnswer: -97*b - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {x: 2, w: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -84372.9.\nAnswer: 84374.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(12\/(-5) + 2). Let n(a) = 2*a + 1 + 0*a - 299*a**2 + 300*a**2 + a**3 - 3*a. Let k(c) = -6*c**3 - 7*c**2 + 7*c - 7. Calculate q*k(v) + 14*n(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*4)\/((-1616)\/(-303))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1135\/476 - 46\/17. What is the common denominator of s and 69\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(3\/(-12)). Let w(n) = 0*n**2 - n**2 - 2 + 0 + v*n**2. Let i be w(-2). Solve 3*d + 5*r = 9, 4*r = 3*d + i*d + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68684839?\nAnswer: 37, 1856347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90359, -90399, -90457, -90533, -90627, -90739, -90869?\nAnswer: -91017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43744 and 11816348.\nAnswer: 94530784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.71 - -28.69. What is i rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 2. Let o be g(-3). Let n be (-6058)\/(-3438) + (-4)\/2. Let u = n - -3\/191. Which is the closest to u? (a) -7 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - b = 11, -60*b + 63*b + 27 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwhh when four letters picked without replacement from hhhwhhww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*q + 9, 0 = 5*c - q + 4*q - 45. Suppose -c = 3*i, m + 15 = -i - 4*i. Let z be 5 - 4\/(0 + 2). What is the closest to m in -5, z, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.848607kg in micrograms?\nAnswer: 7848607000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6600 and 64050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -194*c**2*u - 12*c**2 - c*u**2 + 6*c*u - 2*c + 9 wrt u?\nAnswer: -194*c**2 - 2*c*u + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/g**(-2))*(g\/g**(3\/2))\/g)\/((g\/(g*g\/g**2))\/(g*g**7)) assuming g is positive.\nAnswer: g**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(847) - sqrt(847))*3)**2 + 0 - (sqrt(77) + (sqrt(77)*-2 + sqrt(77) + sqrt(77))*-6)\/((sqrt(121) + sqrt(121)*-3)\/sqrt(11) + sqrt(11)).\nAnswer: sqrt(7) + 68607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/3*r**3 + 165*r**2 + 12005\/3 + 4165*r = 0. What is r?\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - d**2 - 2. Let b be o(2). Let h be b\/7 - 95\/(-35). Let i(k) = -k**3 + 5*k**2 - 3*k. Give i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*s + 49*s - 2617 - 297 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -17572165744.108.\nAnswer: -17572165748.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3230164*a + 1615083*a + 1615082*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a53 (base 14) in base 10?\nAnswer: 26729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -9. Let k be (28\/21)\/(p\/12). Which is the closest to -2\/9? (a) 0.1 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10\/11)\/h**(1\/32)*h**(-17)\/h**5)**3 assuming h is positive.\nAnswer: h**(-24225\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/((i\/(i**(-3)\/i)*i)\/i))*i**(-13)*(i*i**(2\/5))**(-22) assuming i is positive.\nAnswer: i**(-194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -342 - -342.381. Let o = -0.3971 + b. Round o to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120785294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2)*b*b**(-3)*b**(-1)*b**4 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*(-2)\/(-4))\/((-17)\/(-629)). Suppose -f = -s + 4*k - 0, 2*k + 120 = 4*s. Suppose -s = -3*g + 301. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -7167?\nAnswer: -7164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -46*f + 68. Let q(j) = -6*j + 5. Let h be q(2). Let m be l(h). What is the highest common divisor of 30 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:22 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66d4d8 (base 14) to base 9.\nAnswer: 6514877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a - 41*a - 4*g + 15 = -91*a + 24*a, -9*a + 17 = 2*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 5. Let c(z) = z**2. Let t(g) = -16*g**2 - 14. Let y(d) = 5*c(d) + t(d). Determine -17*k(r) + 6*y(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7.000007. What is g rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:28 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**3 - 4*f**2 - 2*f + 42. What are the prime factors of o(-5)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4146323257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -7\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*6*(sqrt(110) + sqrt(110)*2 - sqrt(110)))\/((sqrt(80)*2*6)\/(-1*sqrt(8)*6)).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 16*m + s + 8, -2*m = -5*s + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -924064 or -924066?\nAnswer: -924064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8155.7 - -8153. Which is greater: n or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -13 (b) 41459 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 70 = 7*i. Which is smaller: i or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 5. Let u(h) = -2*h - 21. Let t(d) = 2*d + 25. Let w(y) = -4*t(y) - 5*u(y). Give 7*o(c) - 6*w(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -731*c - 639. Calculate u(-1).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1430315379 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 48 = -4*j. Suppose 20*c + 4 = j*c. List the prime factors of (3 + c + -1)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22543465.\nAnswer: 5, 7, 61, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + (-6*3*sqrt(275) - sqrt(275) - sqrt(275)) - (sqrt(275) + sqrt(275) + (sqrt(275) - 1*sqrt(275)) + -3)**2*-2).\nAnswer: -220*sqrt(11) + 2218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -354?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlncltaatlcll. Give prob of sequence jcn.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*g - g + 3*g - g**4 + 3*g**4 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a - 16*a)*(-a + 3*a - a)*(-2 + 5 - 4)*(-4*a + 3*a + 2*a) - 50*a**2 + 3*a**3 + 50*a**2 to v*a**2 + y + t*a**3 + c*a and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 212 + 10 = 0. What is the remainder when 317\/4 - ((-56)\/32 + (-3 - -5)) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 3:06 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 807*w**4\/4 - 380*w**3 - 17*w**2 - w + 4. What is the derivative of m(u) wrt u?\nAnswer: 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyis when four letters picked without replacement from yishiih.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2525.444 * 0.4.\nAnswer: -1010.1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/34)\/b)\/b)\/b)**(11\/2) assuming b is positive.\nAnswer: b**(-1133\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, v: 1, h: 1, n: 1, y: 2, a: 1}. What is prob of sequence hean?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 71. Suppose -5*p - 4*r = -37, 0*p + 2*p = -4*r + 22. Let s = p - -13. What is the remainder when t is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*c**3 + 0 + (1 + 1 - 4)*(0*c**3 - 2*c**3 + 3*c**3) + (1 - 3 - 3)*(-2 + 3 - 6)*(18*c**3 - 2*c**3 - 54*c**3).\nAnswer: -954*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152770136 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 15 + 3*a + (-1 + 1 - 2)*(2*a + 0 + 0) to k + n*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 205*l - 1\/24*l**4 + 2\/3*l**3 + 0 + 5*l**2. Factor o(k).\nAnswer: -(k - 10)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9.6 (b) -1\/3 (c) 5 (d) -4.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + 6*l**2 - 6*l + 1. Let z(j) = j**3 + j**2 + 2*j. Calculate -f(s) + 5*z(s).\nAnswer: 7*s**3 - s**2 + 16*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**4 + 47*o - 47*o)*(16 - 18 - 49).\nAnswer: 510*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1384761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.75387 and -4.1.\nAnswer: 7.190867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011067703 to 4 dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-630)\/6))\/(7\/42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = -228 - 16 - 9 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**4 - 4*c**4 + 2*c**4 + (80*c + 24*c + 239*c)*(-42*c**3 + 29*c**3 - 41*c**3) in the form s*c**2 + d + k*c + x*c**4 + l*c**3 and give x.\nAnswer: -18524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 2:04 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = -7*v + 6*v + 2*v - 14, -4 = -j - v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.631581 minutes?\nAnswer: 97.89486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/91 - (-26)\/7. Suppose -u*s + 36 = -s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -32*o - 61. Let n = -4872 + 4870. Determine d(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -3. Let o = h - 0. Suppose 2 = -k - 3. Sort o, 0.3, k in ascending order.\nAnswer: k, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27993\/1120 + (-1450)\/986*17?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2 + 3*r - 3. Let p be z(2). Suppose 2*o - p*o = -3*t + 20, 0 = 4*t + 4*o + 16. Suppose t = -3*m + 60 + 72. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1095600 and 1600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 1. Let b be (-4)\/20 + (-302)\/(-10). Let y be (-4)\/10*1*b. Let n be 1\/(2\/y*2). Give u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 take away 25.704?\nAnswer: -488.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 101\/5, -108?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 2 k when four letters picked without replacement from kketyytqkqkttktt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -1\/6 (b) 2\/19 (c) 3\/52 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 152?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*1*1*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 50 - 10. Let v(d) be the first derivative of 0*d**x + 17\/5*d**5 + 0*d**3 + 10 + 8*d + 0*d**2. What is the derivative of v(o) wrt o?\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(-2)*(-558)\/(-27)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = j + 189 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-42)\/(-24))*(-28)\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 12*q - 10. Let t be c(5). Suppose 56*p - 105 - 63 = t. What is the greatest common divisor of p and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.613433mm in centimeters?\nAnswer: 0.3613433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907294484 - 1?\nAnswer: -1907294485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -473*m + 469*m - 64 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -112*p**2 + 115*p - 2. Let b be t(1). Let o(a) = 19*a - 5. Let w(n) = n - 1. Calculate b*o(z) - 3*w(z).\nAnswer: 16*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = i + 3*r, -i + 9*r = 5*r - 822. List the prime factors of i.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 1:38 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 444.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -2*j - 26, 0 = 5*o - 4*j - 66. Let n = o - -2. Solve -n = l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1722 and -61\/4456.\nAnswer: 3836616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/21*84\/18. Let a(h) = h. Let g(r) = -r. Determine n*a(z) - 9*g(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 + 407. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 10 = 26*s. Let o be s + 0 + 90\/(-50). Factor 0 + o*i + 1\/5*i**2.\nAnswer: i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 5*j = -30, -5*t - j = -92 + 86 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16567\/9 - -1841. Let k = 0.261 - -4.739. Which is the nearest to w? (a) 4 (b) 2 (c) -1\/5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04868574 rounded to five decimal places?\nAnswer: -0.04869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -992764 smaller than -992764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 4*v + 2. Let o be f(-3). Suppose -o*d = 8 - 1438. What is the highest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 4\/3, 5, 1\/2, -24, 0.1 in decreasing order.\nAnswer: 5, 4\/3, 1\/2, 0.1, -0.16, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from -1902428874577.\nAnswer: -1902428874600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/30 - f**4\/6 - 3*f**2. Suppose 0 = 3*x - 4*x + 55. Let d = x - 50. Let l(h) = -2*h**2 + 5*h. Calculate d*l(g) + 6*i(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -77652546 less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-4)\/6*219114\/(-296). Let g = -404948\/5 + 80505. Let i = g + l. Find the common denominator of i and -107\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*r = -1074, 6*r - 4*r = -5*j - 1790. Let z be j\/(-18) + 5\/45. Solve z = 3*a + 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 1. Is a(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 21900 - 19284 = 0. Suppose -273*u + 271*u = -p. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**19\/((i*i\/i**(-3\/5)*i)\/i) assuming i is positive.\nAnswer: i**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n. Let o be k(2). Suppose b + b = o. Let c(w) = -2*w**2 - 110*w + 253. Let z be c(-57). Solve 0 = -b*f - 2*d + 10, 3*f - 5*d + z = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 8 = 0. Find the common denominator of -86*(1236\/616 - r) and -40\/121.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 11 + 9. Find the common denominator of ((-42)\/3)\/(56\/35) and (-18)\/r*2\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 40*p**2 + 61*p - 563. Let n be t(-38). Solve 23 = -n*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-3)*4773\/258.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 + -66. Let m = r + 194. Which is the closest to -0.2? (a) m (b) -2\/5 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*p**4 - 13*p - 1254*p**2 + 27*p**3 + 37*p - 24*p wrt p.\nAnswer: 1080*p + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31257 - -3?\nAnswer: -31254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 468 and 10961?\nAnswer: 10493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 20*h**2 + 82*h - 1197. Let r be f(19). Let t = 16 - 28. Which is the nearest to -0.1? (a) t (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*q + 10919925*q**3 - 318*q - 10919923*q**3 + 158*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 297 + 294 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3540 and 490290?\nAnswer: 980580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q**2 + 2)*(5*q - 2*q - q)*(44*q**2 - 97*q**2 - 219*q**2) + (q + 3*q - 2*q)*(-q**4 + 4*q**4 - 2*q**4).\nAnswer: 546*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155\/(-60) - -4 - (-6)\/(-8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 - 0.524386.\nAnswer: -108.524386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7299604.3 to the nearest 1000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1718, -3431, -5142, -6851, -8558, -10263?\nAnswer: -11966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -252947.\nAnswer: -252946.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 571856 and 3288172?\nAnswer: 13152688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6837.862 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + (0 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-37 - -1) - (-3780 + 3786)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -947 - 1?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, n: 7, p: 3, y: 4}. Give prob of picking 2 m, 1 y, and 1 n.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -455*x + 20. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*b = -2*c + 737, -3*c = -2*b - 1103. Let g = c + -311. Calculate the least common multiple of g and 5.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 87. Let i(k) = k**3 + 3*k**2 - 7*k - 7. Let h be i(v). Let b = -2 - -4. Solve 2*f + 3*j = -b*j + 24, -h*f = -4*j + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -i, 11*k = 7*k + 4*i + 8. Let l be k\/1*(1 + 4). Solve -2*z - l = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5763 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 22. Solve p = -k*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p**2 - 2*p)*(-p**2 - p + p) + (230*p**4 - 56*p**4 + 15*p**4)*(11 + 3 - 4).\nAnswer: 1889*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c. Suppose 5*a + 0*a - 5 = c. Find the first derivative of 3*f**4 - 2*f + f - a + f wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2 - (3 - 2)*-4. Let c be d\/9*11 - 1. Factor -10\/3*u + c*u**2 + 2\/3.\nAnswer: 2*(u - 1)*(4*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 2, -3, 3, 8 in descending order.\nAnswer: 8, 3, 2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165051 - 0?\nAnswer: -165051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 2. Let w be n(-3). Suppose -w*a + 44 = -a. What is the highest common divisor of a and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/(84\/60 + -4). Let m(h) = -h**3 + 25*h**2 + 2. Let r be m(25). What is the second biggest value in r, 4, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 + 1.1. What is the smallest value in 1\/6, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - p + 1. Let d(w) = -697*w**2 + w - 3. Calculate d(i) + 5*h(i).\nAnswer: -687*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (425\/(-34))\/((-2)\/56)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 522\/(-12)*(-6724)\/123. What is the highest common divisor of g and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + 302?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25866, 0, 3\/7, 2\/7, 16.\nAnswer: -25866, 0, 2\/7, 3\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 3\/2*q**3 - 3*q + 1\/12*q**4 - 5\/2*q**2 + 0. Let y(l) = -2*l**2 - 22*l + 12. Determine -12*d(u) - 5*y(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**3 - 180756*o**2 + o - 4069598.\nAnswer: -30*o - 361512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 5*h + 30, -3*u + 6*h - 14*h - 26 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4950729 and 70\/7308219.\nAnswer: 153472599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1, -2, 18 in increasing order.\nAnswer: -2, -1, 18, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i - 39. What is the tens digit of x(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 + 1041*u**2 + 66452*u - 10. Give j(-148).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Suppose 31 = z*n + 6. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 3*b**4 + 3*b**4)*(-40 + 15 + 21) + (-4*b**2 + 2 - 2)*(-7*b**2 - 41*b + 41*b).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 52*c - 4. Calculate the remainder when 83 is divided by h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - 5*g**3 + 10*g**3 + (2 - 2 - g**2)*(2*g - 5 + 5).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1775 or -1780?\nAnswer: -1780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6799, -1, 16 in decreasing order.\nAnswer: 16, -1, -6799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 + 2*x**2 - 4. Let s(z) = -7*z**3 - 2*z**2 + 5. What is -4*b(m) - 3*s(m)?\nAnswer: -7*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 6 (c) -76397 (d) 0 (e) -12 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -8*w + 9*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73761 (base 9) in base 5?\nAnswer: 3024421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 786*x + 11. Let l be g(7). Suppose 6*m - l = 3883. What is the greatest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/45234 and 131\/45234.\nAnswer: 45234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -b - w + 6, 5*b - 39 = 2*w. Solve 0 = 3*k + 2*o - 4, -2*k = -4*o - 1 + b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8*i + 2*l - 1 = -2*l + l, 0*i - 2*i + 392*l = -1968 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 9:22 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4 - -2)) + -3 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*z**2 - 2*z + 293 - 293 - 196*z**2.\nAnswer: -851*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22606.56 to the nearest 100.\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 27*p + 59 = 3*m, 0 = -4*m + p + 88. What is the remainder when 269 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85053264 is divided by 316183?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s + 1. Determine j(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(5 + 1 + sqrt(176) + 0 + sqrt(176) + (sqrt(176) - sqrt(176)*2) + -3)*-6)**2 + 3.\nAnswer: 864*sqrt(11) + 6664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18a607 (base 12) to base 3\nAnswer: 210222210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l + 20. Calculate n(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 658501068 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6, -4, 3 in decreasing order.\nAnswer: 7, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -114.135. Let d = 0.116 + l. Round d to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 17 + -10 + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p. Let f(a) = a**2 - 9*a + 17. Let v be f(7). Suppose v*r + 2*j = 0, 4*j = -3*r - r. Suppose r = -4*n - n - 30. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.92 + 1. Let h be (2\/5)\/(8\/20). Let d be (164\/(-205))\/(h + (-3)\/5). Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342520 + 342508 + 5*j - 685169.\nAnswer: 5*j - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 36*b**3 - 1 + 7*b**3 + 15*b**3. Let f(c) = c**3 + 3*c**2 - 4*c - 10. Let q be f(-3). Suppose 0*a + 7 = -y - 2*a, -q*y = a + 2. What is m(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102\/197 - -21719\/2758. What is the common denominator of -193\/1260 and s?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 9*l + 32. Let m be y(5). Let n be 2\/5 - 7\/(35\/m). Solve n*a - 9 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((4\/8 - 0)*-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/28*(-208)\/(728\/(-14))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - (10449 + -10449)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16991*p**2 + 6*p - 16955*p**2 + 0*p - 11*p.\nAnswer: 36*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9 - 5 - 1 - 3*f - 5*f**2. Let q(a) = -a**2 - a + 1. Let x(b) = -2*h(b) + 6*q(b). Let z(w) = 2*w**2. Give x(z(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6284006 and 61\/10.\nAnswer: 31420030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -6*p. Suppose -p*k + 510 - 41 = 0. Suppose -3*n + r - 5*r + 187 = 0, -r - k = -n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -1 (b) 1\/4 (c) 3.56456 (d) -1\/3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/49652 or 1?\nAnswer: -3\/49652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*n + 396 = 385*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 + 4*h - 4*h)*(-571*h + 801*h - 614*h) to the form k*h**4 + i + a*h**3 + w*h + y*h**2 and give k.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8*t - 14 = 0. Suppose 0 = t*h - 9 - 17. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140.99999596 - -141. What is x rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11691 = 7*o + 6817. Let c = o - -14967. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15932 + -15890. Solve 54*v - g*v = 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1926 (b) 3\/19 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31269 - -3044. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddoddodddddddo. Give prob of picking 2 d.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -78 (b) -0.1 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*d - 2*d - 1320 = 0, 2*v = -d + 525. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 573877 and 13653?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (49\/42)\/((-217)\/(-93)). Which is the closest to u? (a) -4 (b) 3 (c) 4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:09 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 9*l + 16. Is 3 + (-1*(-8)\/l - -17) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(288))*4*2 + (-1*sqrt(216))\/(-4*sqrt(12)\/sqrt(4)))**2.\nAnswer: 1170*sqrt(2) + 38097\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/5 of a hour?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -3)*(-2 + 1). Let u = d - 3. Suppose u = 2*o - 3*l - 0 + 1, 0 = 3*l - 9. Let z(f) = f**2 - 2*f + 2. Give z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*f**4 + 1052*f?\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -561643 + 283342*n + 4*n**3 - 1652*n**2 + 57343 - 110322*n.\nAnswer: 4*(n - 205)**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = 7. Suppose 3*a - 106 = -7*o + l*o, -o + 2*a + 16 = 0. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54883 and 109?\nAnswer: 5982247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1815)\/726)\/(15\/558*-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 7. Let n = 12 - k. Let q be 1*(20\/4)\/35. Which is the second smallest value? (a) q (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011637 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x**2 - 149*x + 62. Determine d(10).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1744584, 3489153, 5233722, 6978291, 8722860, 10467429?\n\"Answer: 1744569*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(36\/45)*(-176180)\/(-290697).\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167052647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/128)\/((-3)\/(-5))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, t: 1, o: 2, a: 1, v: 3, e: 3}. What is prob of sequence oq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 4*g**3 + 3*g**3 + (-g**2 - 3 + 3)*(-4*g + 3*g - g) + g - 3*g**3 - g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-6)*b**8)\/((b\/((b\/((b**2\/b)\/b))\/b))\/b**(-2\/17)))**7)**10 assuming b is positive.\nAnswer: b**(2240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 13*m + 2. Let x be z(11). Let s(d) = -d**2 + x - 24. Let o be s(0). Solve 0 = -o*j - 2*j - 2*k - 8, -3*k - 9 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 56*r**2 - 1231*r - 20. Let z be f(22). Let c(m) = -m**2 + 10*m - 6. Let g be c(8). Suppose -25 = 5*o, -4*h + 5 = -3*o - g. Solve -4 + h = z*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - 4 - -13) + -7 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let d(g) = 1 - 14*g - 1 + 8*g. Let t(u) = -d(u) - 10*n(u). Let j(k) = k - 1. Let i(l) = -5*l + 4. Let v(s) = -3*i(s) - 12*j(s). Give v(t(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 + u + 3. Let t be k(4). Suppose -564190 = -2*m + t*m. Let c = -52838 - m. Round c to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 113\/2. Let i be 2\/5 + (-36)\/(-10). Sort -2\/7, f, i.\nAnswer: f, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l - 32*l = 133*l + 4165 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 3*((-24)\/(-16) - (-2065)\/(-30)). Do l and 1438\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 348, 479, 598, 699?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(30) + (sqrt(120)\/(sqrt(4)*-3) - sqrt(30))))\/((-3*sqrt(160) - sqrt(160))*-5 + sqrt(160)))**2.\nAnswer: 1\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 10) to base 8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0766*-31045.9\nAnswer: 2378.11594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 178933283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 + -259.8. Let l = -25.80000234 - i. Round l to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**3\/t))\/(t\/t**(-2\/9))*t**(-6)\/((t**(4\/7)*t)\/t*t))**(18\/5) assuming t is positive.\nAnswer: t**(-1234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 15*v**2 + 11*v + 17. Calculate r(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (9 - 41) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 1. Suppose 5 + 7 = 2*h. Let l(c) = h*c - 1 - 6*c - 3*c. What is -3*l(q) - 4*v(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13411172 + 19787572. What is s rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 19 = -3*m, -4*a - a - 5*m = -15. Solve -5 = 5*w + a*g + 3, w - g - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -33*k**3 - k**2 + k + 2. Let j be a(-1). Let s = -19 - j. Let f = 72 + s. What is the remainder when f is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29043 and 30996?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 27.7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*x - 12. Suppose x*p - 2*p - 48 = 0. Suppose -5*r - f + 4 + p = 0, -4*f + 7 = r. Solve -k - 8 = r*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 715. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*y - 3 = 211*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Calculate the remainder when 140619 is divided by 126.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 + 0.74. Let q = c - 1. Sort -4\/3, 0, q in decreasing order.\nAnswer: 0, q, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -326.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1815*t**2 - t. Let k(z) = 43*z**2. Calculate j(k(w)).\nAnswer: 3355935*w**4 - 43*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, o: 3}. Give prob of sequence do.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -232?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -771 + 364 + 409 + 2612*k in the form v + c*k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559573, 559553, 559507, 559423, 559289, 559093?\nAnswer: 558823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.044 + 4.904. Which is the fourth smallest value? (a) 1\/5 (b) 0.4 (c) p (d) 0 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 7*i**4\/4 - i**3\/3 - i**2 - 3*i - 748. Calculate b(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (471\/15)\/((-18)\/30)*-141. Let g = m + 6432. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9754, 19288, 28822, 38356, 47890?\n\"Answer: 9534*c + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 6, -1, -5, 4 in increasing order.\nAnswer: -5, -1, 4, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, -136 in increasing order.\nAnswer: -136, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187.2 + -188.2. Let s = 0.26 + -0.16. What is the nearest to u in s, 5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3019 - 545 + 1636)*(p**2 - 4*p**2 + 2*p**2) to the form z*p**2 + k*p + b and give z.\nAnswer: -4110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1790650 and 515950?\nAnswer: 30441050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1134 by 1802428.\nAnswer: 567\/901214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.2 (c) -183 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l**2. Let c(w) = 10*w. Let a(r) = -19*r. Let p(d) = -3*a(d) - 5*c(d). What is y(p(j))?\nAnswer: -637*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)\/w*w*w)\/(w**(5\/2)\/w*w) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + m + 4, -6*m + 5*m = 3*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.49.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -83276 and -11.163.\nAnswer: -83287.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/5 + 26097*o**2\/5 - 37867599*o + 241474479939\/5 = 0. Calculate o.\nAnswer: 1611, 12243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-321086)\/(-8678) + 1 + 443\/(-12).\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -2 + (-2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/12 - 79*k**3\/6 + 10*k**2 + 137*k. Let x(g) = 10*g. Determine y(x(p)).\nAnswer: 20*p - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*u - 229 = -u, 4*i - 5*u = 219. Suppose -3*v + i + 29 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(84) - 6*(1*sqrt(84) + sqrt(84)) - (sqrt(84) + sqrt(84)*2 - sqrt(84))*-3))\/((4*(sqrt(84) + 2*sqrt(84)))\/(1*sqrt(28))).\nAnswer: -4 + 25*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**3 + 5*p**2 + 2*p - 4. What is i(-2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 7*t - 1. What is the units digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/432 and -37\/2232.\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/17 + 20*o**3\/17 + 72*o**2\/17 + 108*o\/17 + 54\/17.\nAnswer: 2*(o + 1)*(o + 3)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + -5*(sqrt(192) + 2)) - ((sqrt(396)*2)\/sqrt(12))\/(sqrt(11) + sqrt(22)\/(sqrt(2)*-4 - sqrt(2))).\nAnswer: -325*sqrt(3)\/2 - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 133743, 534984, 1203721, 2139954, 3343683, 4814908, 6553629?\n\"Answer: 133748*b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 7) in base 15?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-1*5)\/((sqrt(11) - sqrt(99))*6).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 - -113. Suppose -b*x = 12 - 48. Solve 2*h = -2*o + 12, -x*o = 4*h - 4 - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2144609046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/10 + ((-24)\/(-10))\/(-6). Let w be -5 + l + -13700*4\/(-2). What is w rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1281 and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700078, -2800258, -6300550, -11200948, -17501446?\nAnswer: -25202038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 9*n + 1800 = -7*n, -5*n - 1376 = -3*f. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -127\/180*l**6 - 8\/9*l**4 + 31\/30*l**5 - 1\/24*l**8 + 4\/9*l**3 + 0 + 7*l**2 + 0*l + 83\/315*l**7. What is g in d(g) = 0?\nAnswer: 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/483 and 73\/69?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 830*q + 26563. Let r be k(-32). What is j in 30*j - 5*j**r - 18 - 1\/2*j**4 - 13\/2*j**2 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -91, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 103342500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**25\/(h**(-2\/9)\/h)**(2\/17))\/((h**0\/h)**17*h**(-2\/9)\/h*h**(6\/13)*h*h) assuming h is positive.\nAnswer: h**(81359\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 13211352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from ciiinniinin?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8*u + 9*u - 23, 0 = -5*o - 2*u - 44. Let m be 5*3\/15 - o. Suppose -6*k - 17 = m*k. Let n(g) = -7*g**3 - 2*g**2 - 2*g - 1. Calculate n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2599 divide 18769978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 - 2*q**2 - 44*q - 75. Calculate b(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, -187, -444, -809, -1282, -1863?\n\"Answer: -54*h**2 + 13*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 74*a**2 - 10*a - 3. Suppose 0*n - 12 = 6*n. What is the units digit of v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 2*h - 1. Let w(o) = 20*o**3 + 6*o**2 - 10*o - 4. Let r(c) = 6*s(c) + w(c). Let z be r(5). Round z to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09701689358 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64680 and 882.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -117*m + 9. Let b(w) = 47*w - 3. Calculate -12*b(s) - 5*v(s).\nAnswer: 21*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7479 divided by 831?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 27840.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6848926489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6596*f - 4795*f + 60536 = -15106 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 1, 0 = l - 3*l + q - 1. Let y(o) be the first derivative of 0*o**4 + 0*o**2 + l*o**3 - 2*o - 3\/5*o**5 - 2. Differentiate y(k) with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from pbibppmbbm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -202 + -147. Let n = -346 - r. Calculate the remainder when 34 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15877, -59117, -129719, -227683?\nAnswer: -353009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/6 + 3*d. Let n be v(-6). Find the third derivative of -f**2 + f**n + f**2 - 3*f**2 + 0*f**2 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(1100) - ((sqrt(11)*2)**2 + -1 - sqrt(121)\/sqrt(275)).\nAnswer: -43 + 301*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7972204, 7972203, 7972202, 7972201, 7972200?\n\"Answer: -o + 7972205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 - 924*h**2\/5 + 202*h + 38892\/5.\nAnswer: -2*(h - 7)*(h + 6)*(h + 463)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -937 + 4631\/5. What is the common denominator of ((-38)\/(-8) - -4)\/(3\/(-8)) and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugssursuusgsss. Give prob of picking 1 r, 1 s, and 1 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1069 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 + 0 - 1. Suppose -8*a + 4*a + 108 = f. Suppose -4*s = 4*q + 156, q - a = s - q. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3107, 6207, 9353, 12569, 15879, 19307?\nAnswer: 22877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4732713 by 4732713.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57538.2 litres?\nAnswer: 57538200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1227994 or 1228000?\nAnswer: 1228000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 11*a + 21. Let h be w(9). Let f(k) = k - 6. Let r be f(6). Does 14 divide r + 1 + h + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863509 (base 14) to base 15.\nAnswer: 5ead09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 106. Let c = n + -62.04. What is the third biggest value in c, -0.5, 1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 4*r + 4. Let g be c(4). What is the closest to -2\/9 in -4, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(2 + 0\/(-2)). Let b = 3 - d. Let i(v) = 16*v - 14. Let s(f) = 3*f - 3. Let j(n) = -2*i(n) + 11*s(n). Give j(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 23 - 159)*(-4*w - 5*w + 1 + 0*w).\nAnswer: 1179*w - 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3293 - 3293. Put -17, -0.03, b, 5 in decreasing order.\nAnswer: 5, b, -0.03, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2 - 5) + -6 + (-53)\/(-2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*s, p + 33*s + 5 = 31*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/7 - 8474*r**3\/7 + 3161580*r**2\/7 = 0.\nAnswer: -4582, 0, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(1\/15). Let z(k) = -141*k + 729. Let a be z(5). Sort n, a, -4 in increasing order.\nAnswer: -4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -137 + 2*w - 10*w + 132 - w**2. Let d be l(-7). Determine f, given that -2\/5*f**4 - d*f + 4\/5 + 2\/5*f**3 + 6\/5*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -4. Let z = 33 - p. Suppose -3*l + 4*c = -z, 36 = -0*l + 3*l + 2*c. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 3*s - 7, -3*d + 3*s - 6 = 0. Find the common denominator of d - (-41)\/(1 + -2) and (-203)\/15 - (-1)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4506524 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/13 (b) 1\/137 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103652170.\nAnswer: 2, 5, 37, 457, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/120 + l**5\/12 + l**4\/12 - l**3 - 2*l**2. Let n be g(5). Let z(s) = n*s + 5 - 5 + 0. Let y(w) = -2*w**2. Give y(z(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 924\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3273 by 2069.\nAnswer: 3273\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-330))\/(155\/124)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b. Let v be d(3). Let n be (-1 + 15\/v)*(1 - 10). What is the units digit of n\/(-4)*(-26)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 divided by 223224?\nAnswer: -90\/9301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2089*u - 5. Let m(r) = 3134*r - 8. Give 14*h(i) - 9*m(i).\nAnswer: 1040*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x**2 - 117*x**2 + 41*x**2 + 36*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/62 and ((-1680)\/342 + 2)*(-16)\/992.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*z - b + 128, -5*z + 6703*b + 304 = 6706*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 691456821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71874, 143653, 215430, 287205, 358978, 430749, 502518?\nAnswer: 574285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/6 (b) -2\/11 (c) -12 (d) 4\/7 (e) -336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*n - 370*n + 25 - 7.\nAnswer: 2*n + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3227716 months in decades?\nAnswer: 0.01935643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-11 - (-10 + 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -656 + 3296\/5. What is the common denominator of -2 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3)*2 + sqrt(3) + 3 - sqrt(3)) + -2.\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-563 + 21*b + 563)*(8*b**2 + 11*b**4 - 8*b**2).\nAnswer: -462*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 107360.9ug?\nAnswer: 107.3609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*(-14)\/((-28)\/(-4)). Let j = 6 - d. Suppose j*k - 596 = 41. List the prime factors of k.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 10*o**2 - 2*o + 151. Determine d(0).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18407 - 18371 = -12*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 242.429017 and 7711.\nAnswer: 7953.429017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 33600 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/60 + u**4\/24 + 13*u**3\/3 + u**2 - 2148*u. What is z(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t**2 + 2*t**5 + (t - t - 2*t)*(3*t**4 + 0*t**4 + t**4).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -156800 rounded to the nearest one thousand?\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1675*d + 1499*d = -1408 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/((-1170)\/(-132)))\/((-7)\/(21\/8))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z - 3. Let o be k(-4). Suppose q + 4*n = -16, -n = q + o - 1. Suppose 0*l - 2*l + 44 = q. Calculate the lowest common multiple of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:05 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -323220 (base 5) in base 12?\nAnswer: -6498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1901 (b) -9 (c) -8 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -5*d**3\/6 + d**2 + 2*d. Is 5 a factor of v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1003, 0, -3706 in increasing order.\nAnswer: -3706, -1003, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from {m: 1, p: 2, x: 1, y: 1, s: 1, v: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 54 - 12 = 0. Suppose 5*i - 6 = 2*i. Let k be (-1 - 3\/i)\/(49\/(-98)). Solve k*d - w = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25\/18 + -8\/9. Let y(b) be the first derivative of -2 - 2*b + 0*b**2 + 0*b**3 - s*b**4. Differentiate y(r) wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97994872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - (3 + (-10 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -128. Solve 0 = 2*d - 0*d + 2*m + 6, -4*d + n*m = -16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-5) - (-1436)\/20 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + (-2 - -21 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from {y: 9, d: 2, h: 6}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*p - 27. Let l = -4 + p. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 2*t + 90. Let z be p(-8). Calculate the remainder when ((-96)\/4)\/(-12 + z) is divided by (-42)\/4*(-2)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, b: 2, j: 2, a: 1, u: 3}. Give prob of picking 2 c and 2 b.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 19*d + 15*d - 28, -3*p - 2*d + 2 = 0. Suppose -4 = p*v, -6*v + 9*v - 297 = -2*o. Calculate the lowest common multiple of o and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3*4\/(48\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*o + 71*c - 72*c - 49, -2*c = 4*o - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 54. What is the second smallest value in v, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*f = 217*f + 18. What is the thousands digit of (-4)\/2 + f + (1483 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-88)\/(-396))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w + 1. Let i be z(2). Let u = 35 - i. Solve -u*x - 2*t = -12, 3*x - 18 = -2*t - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.061801 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -30*k - 4. Let q(d) = 8*d + 1. Let h(i) = 22*q(i) + 6*t(i). Let r(m) = -2 + 5 - 1 + 3*m. Calculate -4*h(f) - 5*r(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/24 + d**2\/2 + 13. Let x(c) be the second derivative of j(c). Let p(s) = 2*s. Calculate x(p(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/532 and 7\/22.\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 628*v**2 + 1368*v - 15264.\nAnswer: -4*(v - 159)*(v - 4)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0\/(2 - 1). Suppose 11*i - 6 = 8*i. Let v(u) = 2*u - u + 4 + 3*u**2 - i*u**3 + y*u. Let z(h) = 2*h**3 - 4*h**2 - h - 5. Give 5*v(r) + 4*z(r).\nAnswer: -2*r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2121 - -16969\/8. Sort 0.5, i, 28\/9.\nAnswer: i, 0.5, 28\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -24.5\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.97828 + -0.02172. What is the fourth biggest value in -0.4, x, 0.16, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/77 and 163\/396?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f + 70*f - 43960 = 0. List the prime factors of f.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/76)\/((-721)\/206*(-5)\/(-35)*-2).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g - 10. Let m(h) = -5*h + 2. Let v(i) = 5*m(i) + x(i). Let s(b) = 3*b**2 - 44. Give v(s(o)).\nAnswer: -15*o**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 3*x - 4. Let j be z(-3). Let t = -9 - j. Let i = -70\/3 - t. What is the third smallest value in 0.1, i, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 205, 443, 845, 1465?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*r**4 - 143*r**3 - r**5 - 145*r**3 - r**5 - 10*r**4.\nAnswer: -2*r**3*(r + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqqooq. What is prob of sequence qo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6985 divided by 3\nAnswer: -6985\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 565 - 287 - 9*m - 289)*(2 + 4 - 2).\nAnswer: -40*m - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/567 in 0.4, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*f - 114, 12 + 7 = g + 5*f. Let n = -25 + g. Solve n = -3*m - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4427810 is divided by 885560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = -z - 2*c, 16 = z + c. Suppose 4*w - 5*j = 13 + z, 3*w = j + 8. Solve -t + 0 = w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - 4*q + 3*q)*(2 + 2 - 7)*(-3 + 1 + 0) as z + g*q and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-60)*95\/3154*(-12)\/(-5).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -33*w + 64*w + 3*w**2 - 2*w**2 - 25*w - 17. Let j be t(5). Suppose -f - 3*o = -j, -231 - 1 = -5*f - o. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3931\/2330 - 3\/233. Find the common denominator of l and 51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*a - 96*a + 356*a)*(5*a**2 + 3*a**2 - 4*a**2) + 0*a**3 - 2*a**3 + a**3.\nAnswer: 1135*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**3 - 6*f**3 - 2*f**4 + 6*f**4 - 5*f**4 + 0*f**4 + (1 - 2*f**3 - 1)*(-5*f + 4*f - f) + f**4 - f**4 + f**4 - 3*f**4 - f + f + 0*f**4 + 4*f**4 + 0*f**4.\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -7, 2\/9, 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 - 2*p + 165 + 118.\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449791289.\nAnswer: 23, 3217, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 3:21 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570420576 divided by -47.\nAnswer: -12136608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 414946*o**5 + 2060*o + 114 wrt o.\nAnswer: 8298920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3\/3 - 5*n**2\/2 + 7*n + 1. Calculate the remainder when 13 is divided by l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**3 + 2*i**2 + 4*i + 4962.\nAnswer: -12*i**2 + 4*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 131 = -115 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - u. Let h be o(-1). Let x(l) = -l + 6*l**2 + l + l + h - l**3. What is the tens digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150696167 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*n*z + 885*f**2*z - 2*f*n + 729*n*z + n wrt f.\nAnswer: -2*f*n*z + 1770*f*z - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -171*h**2 + 11148*h - 2138. What is y(65)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391136.\nAnswer: 2, 3, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/2 + p**2 + 7*p. Determine s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49478, -98949, -148420, -197891?\n\"Answer: -49471*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 + 0.59. Let p = -29.44 - -0.44. Let k = 22 + p. What is the closest to k in -0.2, a, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -10 (b) 0.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3\/2 (c) 2 (d) 1\/6 (e) -11 (f) 1\/2131 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4)*(-16)\/(-20). What is the nearest to 1 in 2\/15, 5, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x, 3 - 8 = 3*h + 4*x. Calculate the smallest common multiple of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*f + 2*x + x, f - 5*x = -9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1014 and 1016028?\nAnswer: 1016028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -847, -2847, -7211, -15121, -27759, -46307?\n\"Answer: -197*m**3 - 621*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from {c: 1, u: 2, g: 3, i: 2, k: 2, y: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4900*h**3 - 39060*h**2 - 111684*h + 1030580 = 0.\nAnswer: -5, 227\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23712 + -23710.7961. Round l to two dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31161 times -0.3\nAnswer: -9348.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3783\/19 - 199. Suppose 10*i - 8*i = 224. Let g be i\/(-21) + 3\/9. Which is the third smallest value? (a) g (b) 4\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-1)\/(8*(-187)\/272))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xek when three letters picked without replacement from {s: 2, k: 3, e: 4, p: 1, x: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 5. Let v be (-2)\/6*-3 - -1. Let m be n(v). Let r(p) = 5 - 2 - m - p - 1. Determine r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8107055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/76 <= -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3840\/9856)\/((-13)\/286)?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3\/3 + 1. Suppose -2*s - s + 6 = 0. Let c(b) = 0*b**2 - b**2 - 2*b**s. What is q(c(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9*a - 6*a = 291, 3*r + 4*a - 227 = 0. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i - 4. Let k be (1 - -190052)\/(i\/(-24)). Suppose -5*x = -619364 - k. What is x rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(21\/(-10)))\/(623\/(-4361))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.5 - -101. What is x rounded to two decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.504273175 plus -2?\nAnswer: 3.504273175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111122 (base 3) in base 4?\nAnswer: 303110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-64)\/36) + -2. Which is the fifth smallest value? (a) -1\/3 (b) 3 (c) -60 (d) t (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 130\/52*14\/1?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4243 + -3?\nAnswer: -4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 582958447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 7, 14, 27, 46, 71, 102?\n\"Answer: 3*x**2 - 8*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b. Let j(u) be the first derivative of 2*u**3\/3 - 9. What is j(w(g))?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 27 - 7. Let n = 33 + -33. What is the third smallest value in u, 2, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556461520 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - i + 5*i = -16, 0 = -4*s + 5*i + 13. Let b = s - 11. What is the tens digit of 2200\/99 - b\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -312*o + 4993. What is f(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*(((g**(-1\/4)*g)\/g)\/g*g)\/g)*g*g)*g)**(1\/46)\/((g*g**2*g)\/g**7))\/((g*g*g**(1\/4))**38\/(g**5\/(g\/g**(3\/7)))) assuming g is positive.\nAnswer: g**(-100591\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owcekeeocwke. Give prob of sequence cwc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 2. Let u be t(-3). Let z = -256331557\/268635 - -8\/53727. Let y = z - -954. What is the closest to 10 in -2\/5, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2468 - 2*p**3 + 28*p**2 - 2*p - 2468)*(-27 + 49 - 22 - 16*p) to the form l*p + m*p**3 + t + o*p**4 + h*p**2 and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (4*(-3 + sqrt(931)))**2 - (sqrt(931) + 3)*-5 - ((-2*sqrt(931)*3)**2 - (0 + sqrt(931) + -4 + sqrt(931))))*6.\nAnswer: -291270 + 4368*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3089841468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 76*m**2 - 157964*m + 2 + 157964*m + 4*m**4 in the form h*m**2 + l + z*m + x*m**3 + a*m**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000959 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 340593*q**2 - 362082*q**2 as v*q + p + g*q**2 and give g.\nAnswer: -21489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -14850*o + 14858*o + 364 + 168 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(-1*(-3*sqrt(11) + 2))**2.\nAnswer: -515 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y + 128. Let z be k(-23). Let d = z + -341. Which is bigger: -8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3 + 2*f**2 - 2*f - 5. Is 24 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286436 by -20.\nAnswer: 71609\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or -123\/29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*t - 12, 0 = -3*t - 3*i - 0*i - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 21667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 145*v**2 - 78*v + 457. What is s(72)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/12 - x**4\/4 + x**3\/6 + 21*x**2. Let s(m) = -11*m**2 + 13*m - 2. Determine -6*s(l) - 13*t(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2184 and 6.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 270377?\nAnswer: -27036f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + j - 6. Let w be n(8). Let a(k) = 2*k**2 + 5 - 5 - 3*k**w. Let b(h) = -6*h**2 + 1. Calculate -4*a(t) + b(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9 + 4 - 5)*(3*v - 3*v + v) - 2*v + 2*v + 2*v)*(-v - 2*v + v).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -3*t + w - 22 + 18, -t + 23 = -12*w - 34 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 58.16. Let w = y - 1.160057. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4141066946463 + -2?\nAnswer: -4141066946465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*z = 14, 3*b - z + 22 = 5*b. Let y be (-1)\/(3 + (-32)\/b). Find the third derivative of 3*f**2 - 4*f**y + 0*f**2 - f**2 wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -11*a + 32. What is the common denominator of -79\/6 and 4 - (-118)\/a*-4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73, 81, 89?\n\"Answer: 8*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10*(1 - -1)*138\/276. Which is the fourth biggest value? (a) 0.39 (b) u (c) -4\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290496 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**5\/20 + 4*m**3\/3 - 1. Let v(c) be the third derivative of u(c). Let t(d) = d. What is v(t(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 - 207. Calculate the remainder when ((-18)\/b)\/(2\/202) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(165\/9) - 3002\/95) + 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 4. Let b be g(4). Let c = -6 + b. Let r be ((-27)\/c)\/(9\/(-48)). Calculate the greatest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6264)\/(-464)*1\/(-18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -45. Suppose 0 = p - 0*p - j. Suppose y + p = 5*m, 0*y = m + y - 11. Calculate the greatest common divisor of m and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*w - 30915*g*w**2 - 1642*w**2 - 2 wrt g?\nAnswer: 4*g*w - 30915*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96026, 191977, 287928?\n\"Answer: 95951*j + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 20, 0 = -v + 2*v + z. Suppose -5*j - 4*o + 32 = 0, -v*o - 3 - 5 = -5*j. Solve 4*y - j = 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11906 = -3*y, -y + 2*z + 19852 = 4*y. Is y - (-9)\/(6\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**0*m*(m*m**(-2\/15))\/m*m**0\/m**3*((m*m**1)**(2\/25))**49 assuming m is positive.\nAnswer: m**(503\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 12 + i + 0*i - 13 to the form w + x*i and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -500 - -504. Let d be f - (-1 - (-2 + 9)). Is d less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 38*a - 7. Calculate t(20).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6439100 times 0.1\nAnswer: 643910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foxfxoxfofxf. What is prob of picking 1 x and 3 f?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -346, -389, -430, -469?\n\"Answer: f**2 - 46*f - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**4 - 733*n**2 + 7*n - 374773 wrt n.\nAnswer: 8*n**3 - 1466*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -3. Suppose -k = -5*l - 54, 5*k = 72*l - 74*l + 27. Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134607 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 1 = -d. Let g = d - 0. Let x be (g + -101)*104*25. Round x to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12.173754 months?\nAnswer: 0.10144795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 139*a**6 - 4*a**4 - a**2 + 8. Let h(i) = -140*i**6 + 3*i**4 - 6. Let d(v) = 4*h(v) + 3*z(v). What is the third derivative of d(c) wrt c?\nAnswer: -17160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -4*o + 352. Let f be (3 + (-7)\/21)\/((-4)\/(-6)). Find the first derivative of o*m + f - 174*m + 1 wrt m.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmemwcmwcwcwc. Give prob of sequence mwce.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 83056291.\nAnswer: 83056286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9445794 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(132))\/sqrt(4))\/(sqrt(9)\/sqrt(3)*-2)*3*4.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-6 - (-12 + -2))) + -3 + 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h. Let i(r) be the second derivative of r**4\/12 + 85*r. Give i(y(d)).\nAnswer: 400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a - 13. Let f be i(-5). Suppose 3*d = -3*h - 45, d - f*d - 30 = -2*h. Is -22 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159 - -162.17. Let s = c - 3.5. Let v = s - -0.03. Put -3, -4\/3, v in ascending order.\nAnswer: -3, -4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(612) + sqrt(612) + 2)**2*-6.\nAnswer: -14838 - 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20282 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62171934.\nAnswer: 2, 3, 11, 941999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5909*h**3 + 2*h**2 + 6*h - 8. Is u(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12769*w**2 + 12774*w**2 - 25543*w**2 + 5 - 5 + 1003*w - 1002*w + 9*w**3.\nAnswer: 9*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21*a**2 + 4*a. Let x(v) = 22*v**2 - 5*v. Let s(o) = -5*n(o) - 4*x(o). Let w(t) = -2*t. Determine w(s(c)).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29282 - -29286. Put 3, -379, t in increasing order.\nAnswer: -379, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - r + 14 + 3*r**3 + 7*r**3 + 10 + 2*r**4 + 6 in the form j*r**2 + u*r + l*r**4 + x + c*r**3 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7. Let r be 4346\/(-238) + (-3 - j). Let t = 148\/7 + r. Which is the biggest value? (a) t (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 8*z**6\/15 - 2*z**5 - 29*z**4\/4 - 35*z**3\/6 - 2*z**2 + 481*z. Factor n(h).\nAnswer: (h - 4)*(h + 1)*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14109958?\nAnswer: 2, 577, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 2 + sqrt(363)*-2 + 1 + -2.\nAnswer: -11*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 2, x: 6, y: 2, d: 3}. Give prob of picking 1 y, 2 d, and 1 o.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -172, -241, -312, -385, -460, -537?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -7.38031.\nAnswer: 29.52124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 4. Let t be i(0). Suppose -2 = -2*d - t. Let f = -0.392 - -0.592. Which is the smallest value? (a) f (b) -3\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -25. Let w be (31\/(-2))\/((-2)\/4). Find l such that 4*l**n + w*l + l**3 - 18*l - 18*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 - 1 = -s, 0 = -5*s - j + 20. Suppose 0 = s*d - 2186005 + 306005. Round d to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 2*r**6\/15 + r**5\/5 - r**4 - 2*r**3\/3 + 4*r**2 - 7*r + 4. Factor p(x).\nAnswer: 4*(x - 1)**2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109335 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -23 + -5 - -5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Let h(d) = -d**3 + 6*d**2 - d + 4. Let i be h(6). Let n = i + -1. Put 5, v, n in decreasing order.\nAnswer: 5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkbbkzblbbzkll. Give prob of picking 3 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 183*f - 181*f - n, -f + n = 11 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 1\/6*a**4 - 5*a - 4\/3*a**3 + 4*a**2 + 0. What is j in o(j) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1707029.6938 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let j be (6\/18)\/(u\/6). Suppose 2*k - j = 3. Which is the closest to -1? (a) k (b) 2\/3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j**2 - 7. Let g(a) = 5*a - 6. Let w(q) = 4*q - 6. Let x(y) = -5*g(y) + 6*w(y). Suppose v + 5 = -1. Let c be x(v). Give o(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 49*x + 207*x - 2070. Solve -43*g - 306 = -x*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/3*(5 + 136)*3. Let y = p - -903. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 10. Let m(g) = -3*g + 9. Let f(j) = -5*m(j) - 4*w(j). Calculate f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 4. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*r + 757, -4*r + 12 = 2*n - 274. Suppose n - 461 = -4*q. Calculate the common denominator of 12\/(-78) - (-1403)\/q and -27\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16056 = 16086. Solve -v = 2*v + c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13. Suppose 4*r = -4*p + 24, -m*r - 4*p + 18 = p. What is the remainder when 15 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by -4 - (-26*2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n. Let z(v) be the third derivative of 0*v**3 + 0 - 3\/5*v**5 + 0*v**4 - 8*v**2 + 0*v. Determine p(z(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 12:16 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 206*i + 241*i + 40*i**2 - 110*i**2 - 375*i.\nAnswer: -2*i*(i - 1)*(i + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219.753 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*q, 6*p - 354 = 8*p + 3*q. Let t = p + 206. Solve -5*y + 7 = t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*z + 12*z - 875 = 0. Let v be (-2 - (-5)\/3)*-6. Suppose 0 = v*s - 4*s + 8. Solve -4 = -d + x, x = z*d + s*x + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*k - 63, 4*t + 2*k = k + 141. Suppose -t = -p - 4*m, -2*p + 16 = 4*m - 48. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/2)\/((-3)\/(-6)). Suppose -c + 1 = -q. What is the tens digit of q\/(-3) - -5 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -52*a**3 + 778*a**2 + 16*a + 206. Give b(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8771798*v + 8771798*v + 9 - v**2 - 3*v**2.\nAnswer: -4*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiic when four letters picked without replacement from hihhcccchch.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/83, 0.06, -9, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0.06, 2\/83, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-39) + (-282)\/26. Let u = -8 - d. Which is smaller: 9\/4 or u?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3055179, -3055397, -3055759, -3056265, -3056915?\nAnswer: -3057709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 8*p + 10. Let n be s(-5). Let u = -2 + n. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t - 12. Let m(l) = -2*l**3 - 5*l - 23. Let f(y) = -3*m(y) + 5*v(y). Let b be 0*(6\/(-4) + 2). Calculate f(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d - 3. Let v(f) = 3*f + 1. Let b(u) = 2*s(u) + 9*v(u). Find the first derivative of b(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 74 - 109 = 0. Solve u*g - 3*n = 8 + 3, -4*n = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.02 + -9. Let x = -4.98 - c. Let l = x + 4. What is the closest to 1 in 0, l, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 8. Let i be 1512\/(-270)*(-2 + 81\/(-2)). Let c = i - 227. What is l(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*o**4 + 42*o**4 + 88*o**4 + (2*o + 7*o - 33*o)*(2*o - 2*o - 2*o)*(2*o**2 - 2 - 3*o + 3*o) as a + x*o + f*o**3 + r*o**4 + w*o**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73193112 and 2376?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/4, 5, 0.17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 32. Let l be v(-9). Suppose l*d = -101 - 139. Let k be 32\/d*18\/16. Which is the closest to -0.4? (a) k (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 7 - (0 + 7\/7). Suppose -5*w - 112 = 4*t - 421, 301 = 5*w - z*t. Suppose -8*k = -3*k - 110. What is the remainder when w is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**3 - 54*o**2 - 29*o - 35. Let g be q(-13). Let n(y) be the second derivative of 1\/12*y**g + 4*y**2 + 0 + 26*y + 7\/6*y**3. What is n(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4352605966.\nAnswer: 2, 19937, 109159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = 11. Suppose 15*y + p = 18*y. Let t be (-6)\/y + 16\/(-12). Let m(a) = -3*a**2 + a + 2. What is m(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311470260 to the power of 1\/4, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 24*u**2 + 2 + 3.\nAnswer: -24*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 197, 389, 647, 965?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 7512258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -45 - -2) + -18?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 12.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.7399 months to millennia.\nAnswer: 0.055978325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1350253\/26092 - -2\/6523. Let o = -52 + n. Suppose -5 = u - 3. Sort o, u, 2\/11 in decreasing order.\nAnswer: 2\/11, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*q = 261*q - 68*q + 508*q - 59630 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*o - 2778 + 2778.\nAnswer: -162*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/6)*f*f\/f**(-1\/8)*f)**(-34))**(-9\/10) assuming f is positive.\nAnswer: f**(5253\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -37.7 * -0.11\nAnswer: 4.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 3*u - 70, 2*f = -4*u + 55 - 3. Put -3, 0, -2, 2, u in descending order.\nAnswer: u, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2227, -2229, -2231, -2233, -2235, -2237?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 6*z + 0*z to the form c*z + n and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 1:19 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 25. Let c = d + 6.9. Put -5, c, -1 in increasing order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1632274 divided by -62\nAnswer: 26327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 50*n + n**2 - 48*n - 3*n**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-7200)\/54) - 9\/((-1008)\/(-875)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/111 in -4, -9\/5, -3\/4, 0.2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 75, 108, 143, 174, 195, 200, 183?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*t - 2, 36 = -5*b - t + 48 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*g + 107*g - 67*g.\nAnswer: 137*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -24 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 30614441?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4625*c**3 + 12*c**2 - 4. Let b(g) = 144262999*g**3 + 374301*g**2 - 124767. Calculate 4*b(r) - 124767*j(r).\nAnswer: 4621*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587*c**2*x**4 + c**2*x**3 - c**2*x + 94*c**2 wrt x.\nAnswer: -7044*c**2*x**2 + 6*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -376 (b) 2\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/7, 1, -2, 3, 2\/5 in increasing order.\nAnswer: -16\/7, -2, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 1 + 0*u - 2*u**3 + u**2 + 0 as w*u**3 + t*u**2 + j*u + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 + 118. Put 2, t, 1\/2 in decreasing order.\nAnswer: t, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1647, 20, 14 in decreasing order.\nAnswer: 1647, 20, 14, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 54*u**2 - 29 - 55*u**2 + 30. Let l = -8 + 6. Let w(q) = 3*q**2 - q - 4. Let g(t) = l*v(t) - w(t). Factor g(o).\nAnswer: -(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiieeei. What is prob of picking 1 i and 3 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/3020 and 41\/380.\nAnswer: 57380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 8:58 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-484)\/726)\/(2\/(-177)). Solve -63*k = -z*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*m = 50*m + 1548 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/193? (a) -182.6 (b) -14 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1634, -1691, -1748?\nAnswer: -1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 1. Let j(z) = 24*z**3 + 33*z**2 + 18. Let k(c) = -j(c) + 18*y(c). What is the third derivative of k(o) wrt o?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/20 + i**4\/6 + 5*i**3\/6 - 7*i**2\/2 - 2*i. Let x be q(3). What is the tens digit of x\/((-2)\/17)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/5))\/m*m**(-4)*m**0*(m\/(m**(-2\/11)*m*m))\/m*m assuming m is positive.\nAnswer: m**(-276\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -951? (a) -4 (b) 3\/8 (c) 1 (d) 0.1 (e) -0.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/6 - 1)\/(1\/(-93)) is divided by -2 + (-396)\/(-48) + 3\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + 3*l**3 - 2*l**3 + (133*l - 67*l - 71*l - 7*l**3 - 2*l**2)*(-2 + 4 - 9).\nAnswer: 50*l**3 + 14*l**2 + 35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.1392ml?\nAnswer: 0.0191392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23191?\nAnswer: 7, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3698634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50675 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -667, -4, -1, -21, -2.\nAnswer: -667, -21, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 52. Suppose -z = -6*y - 3. Let g(d) = 0*d**3 + 2 + d**3 - d**2 - 2*d**3 - d + 2. What is g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8534416 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 - 5*g**2 - 7*g - 4. Let f be a(-2). Let w be 550\/4 - (-2)\/4. Let v = w + f. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 39 = f + 10, 23*u = 19*u + f - 44 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100010001 - -1011010?\nAnswer: 10010101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(240)\/sqrt(32) - sqrt(30))\/sqrt(6).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = 7*j. Let y be ((-16)\/j)\/1 - -143. Suppose -11*t + y = -169. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**2 - 10*k - 32*k - 37*k - 162 - 26*k + 34. Let t(o) = 2*o. Determine t(c(m)).\nAnswer: 4*m - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by -4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 5*x**2 - 3. Determine d(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.082, 33, 0.4.\nAnswer: 0.082, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15544*f - 7019*f + 20047*f.\nAnswer: 28572*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2. Let d(n) = -n**2 + 3*n + 3. Let j(b) = 2*b**2 - 4*b - 4. Let q(t) = 4*d(t) + 3*j(t). Determine q(m(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49798080 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 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 d(q) = -4*q - 115. What is d(-19)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 19634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47838 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 38. Let g be j(10). What is the greatest common factor of 42 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - -1 - -16) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = d - 11, 4*d - 259*w = -261*w + 30 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)*w*w**1\/w)**(-8\/7) assuming w is positive.\nAnswer: w**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 23, -2, -55, -142?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -15*u**2\/8 + 3*u\/2 = 0.\nAnswer: 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 >= 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308501 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**2 + 0*z**2 + 2*z**2)*(z**2 + 0 + 0) - 2*z**4 + z**4 + 4*z**4 - 3 + 3 + 2*z**4)*(-259*z - 52 - 81 + 133).\nAnswer: -1554*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 + -161. Suppose -4*x + 4*z + 44 = t, 2*x - z - 22 = -4. Suppose 3*o + 2*o = 385. Calculate the greatest common divisor of o and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.04, -9, -0.3, 3 in decreasing order.\nAnswer: 3, 2, -0.04, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12010*p**2. Let r(q) = -5680*q. Give r(t(y)).\nAnswer: 68216800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 35*d + 31. Let v be y(-35). Let u(c) = 17*c**2 - 35*c + 97. Is u(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 66*a**2 - a. Let b(i) = 3*i + 40. Let h be b(-13). What are the prime factors of u(h)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 669, 665, 625, 537, 389, 169?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 - 6*t**2 + 41*t**2 - 23*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l - 1593 + 7029. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 25 = 40. Let n(k) = -k**3 - 10*k**2 - k - 14. Let j be n(-10). Is t at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -729 or -742?\nAnswer: -742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85870758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-422)\/78 - (-13 + 7) and 9\/65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w - 72. Let y(u) = -1. Calculate v(z) - 72*y(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 - 132810*p**3 + 132820*p**2 + 132810*p - 132815 = 0 for p.\nAnswer: -26563, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13870677?\nAnswer: 3, 4623559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8673451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1524 + 1524 + 55*b**3 + (-4*b**3 + 0*b**3 + 3*b**3)*(-1 - 4 + 2).\nAnswer: 58*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/562353 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5851314 - 0.585. Round s to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 18*f + 20. What is m(-20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.957 + -2.187. Let d = 0.57 - f. Let h = 9.20000164 + d. Round h to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**5 - 3*a**3 + a**2 - 5*a + 24?\nAnswer: -300*a**3 - 18*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 + 27*s**2 - 7*s + 16. Does 39 divide m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 5*m**2 - 9*m - 16. Let z be c(-5). Is z + 1 + (-2 - 2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*f + 304 = -158 + 22. Solve 14 = -2*m - f*l, 0 = 4*m + 8*l - 4*l + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -276. Solve 3*j = j + 5*u + 14, s*j + 21 = -3*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (0 + -3 + sqrt(288))*-5).\nAnswer: -78 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 57*r**3 + 1172445*r**2 + 1419204*r + 246816 = 0.\nAnswer: -20568, -1, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655*f**2*j**2*y + 28*f**2*y + 2*f*j**2*y + 99*f*y + 65*f + 2*j**2*y + 2*j**2 + 4*j*y wrt j.\nAnswer: -1310*f**2*y + 4*f*y + 4*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w + (0*w - w + 3*w)*(1 - 1 + 1) - 1 + 1 + 2*w)*(-3 + 2 + 2)*(355*w + 232*w + 62*w)*(2 - 3 - 3).\nAnswer: -7788*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/152133 and 87\/421702.\nAnswer: 24037014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4 and ((-1)\/(-12))\/((-8)\/183).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 + x - 3. Let f be 8*-1*4\/(-8). Let r(z) = -7*z**2 - 2*z + 4. Let i(q) = f*c(q) + 3*r(q). What is the second derivative of i(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2056 - 2006. Suppose 72 = 3*i - 3*s, 2*i + 2*s - 47 = -15. Calculate the lowest common multiple of f and i.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10134589 - 3397993 = 336*p - 2878380. List the prime factors of p.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.4 * 1.002\nAnswer: -8.4168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**6\/240 + 59*z**4\/12 - 203*z. Let j(g) be the third derivative of i(g). Let b(h) = 6*h - 4. Determine j(b(c)).\nAnswer: -18*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. What is the third smallest value in 0.2, f, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139353000 rounded to the nearest 100000?\nAnswer: 139400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20757\/374*((-60)\/18)\/5.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -50*b - 574 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + p - 55 = -2*p, 3*p + 43 = -2*s. Let y = -13 - s. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1049 by 1.\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5\/6 (c) -102458\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let g(z) be the third derivative of -z**7\/2520 + 11*z**4\/24 + 19*z**2. Let o(y) be the second derivative of g(y). Calculate o(k(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -351 in 1\/4, -2\/593, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, -4, 1, 0.07, 0.1, 2797?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2143922\/5 at most -0.016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from yyvvvyzvyvyvpymyzvv?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/4, 19, 0.3 in descending order.\nAnswer: 19, 0.3, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from ozouzoozzk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 71278248833.\nAnswer: -71278248833.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.7+194038309655\nAnswer: 194038309656.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102111 - -22211001?\nAnswer: 22101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -11. Let b be 54\/10 + (-2)\/5. Suppose 0 = -4*v, 2*d + 2*v = s + b. Solve 0 = -6*i + i + d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s. Suppose 13*w - 21 = 6*w. Let h(l) be the second derivative of 0 + 0*l**2 - 1\/6*l**4 + l + 0*l**w. Calculate h(a(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12369 divided by 1767\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*r + 191, 5*c = r + 10*c - 73. Calculate the remainder when 241 is divided by r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1479768023*z**2 + 117589294 with respect to z.\nAnswer: -2959536046*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/7 (b) 0.9 (c) 2\/9 (d) -4 (e) -5676 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -32474990.\nAnswer: 1298999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 21 - -51 - (-468)\/78.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 17, o: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -78387947 + -4872?\nAnswer: -78392819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 h when four letters picked without replacement from hhhhlhhhhhhhh.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -118, 597, -4.\nAnswer: -118, -4, -0.3, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683*b**2 - 2955*b**2 + 1759*b**2 - 776 + 778.\nAnswer: 487*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 5*z**2 + 5*z - 2. Let p be m(-6). Suppose 2*j - 448 = -0*f + 2*f, p*f = j - 227. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 8 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3266, -3282, -3298, -3314, -3330?\nAnswer: -3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 8. Let q = 14 - v. Suppose 76 = 2*h - n - 2*n, h + 3*n = q. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2010?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 441 * -0.4\nAnswer: -176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrxrrrrrrrxxrr. What is prob of sequence rr?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 2*v + 2*v + 8*v + 11*v - 5*v + (4 - 4 - 2)*(-v - 4*v + 6*v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1337853 * 0.2\nAnswer: -0.02675706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1066 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/4, -3\/5, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*a + 1. Let s = 7 + -4. Solve a - 4 = -5*j + v, 4*j - s*v + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -620417, -1240828, -1861235, -2481638, -3102037?\n\"Answer: 2*t**2 - 620417*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101870877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 - 2002.48824.\nAnswer: -2002.33824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6365\/423 + -191\/47. Let t = 214\/9 + g. Let k = 192 - 966\/5. What is the common denominator of k and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*v - 148 = -308, -3*v = -3*o - 114 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 - 8*s**2 - 14*s + 17. Let f(d) = -19 - 13*d + 8*d - 3*d**2 + 25 - 2*d**3. Let t = -8 + 11. What is t*a(b) - 8*f(b)?\nAnswer: b**3 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8065827 divided by 77.\nAnswer: 104751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 434 - 346. Solve -2*q = l*q + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7)\/14)\/((-84)\/2020368)?\nAnswer: 2, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 11. Let g(v) = -v + 1. Let t(s) = -3*g(s) - o(s). Suppose 57*c - 58*c + 2 = h, 0 = -3*h - 5*c. Is 20 a factor of t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-45))\/((-6)\/(-54)). Let l be (-6 + 3)\/(o + 52\/(-50)). Calculate the greatest common divisor of 525 and l.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*j, -5*v + 2*j + 5*j + 11 = 0. Sort -5, 0, 3, v in decreasing order.\nAnswer: 3, 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 9*i**2 - 9*i - 1. Let a be r(-8). Solve f + 4*f**2 + 2*f**5 + 5*f**3 - 4*f**4 - a*f**3 - f = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1015*31\/620)\/((-63)\/36).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*t - 15. Let n(m) be the first derivative of -4*m - 5\/2*m**4 + 6\/5*m**5 + t + 5*m**2 - 2\/3*m**3. Determine v, given that n(v) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267071630 <= 267071629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, 940, 0.5, 0.6, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35 and -329972725.\nAnswer: -329972760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/24 + 3*w**3\/2 + 10*w**2. Let j be u(-6). Factor 2\/3*i - 2\/3*i**2 - 2\/3*i**j + 2\/3*i**4 + 0.\nAnswer: 2*i*(i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 + -93. Find the first derivative of h - 24 + 5*j**4 - 68 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2)\/(-8)*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)*(-6 - -11). Suppose a*i + 998 + 12 = 3*m, -5*i - 1000 = -m. Is i >= -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3\/(-3 + 0). Let c = 7 + u. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-28) + (-2366)\/(-147) + -16.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 19*r - 51. Let j be d(-15). Let n be (1 - (12 - -1))*-3. What is the greatest common factor of j and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 0 + 63 = 0. Let x(u) = 5 + 0*u + 0*u + 2*u**3 + f*u + 2 - 7*u**2. Let d(j) = -j**3 + 2*j**2 - j - 2. What is -7*d(a) - 2*x(a)?\nAnswer: 3*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53702 = -85*m + 11869 + 44759. What is the least common multiple of m and 8?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 240 = -0*n + 5*n - 4*g, -4*n = 5*g - 321 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 6*q = 8*q - 510. What is the highest common factor of 1598 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(325)*3.\nAnswer: -75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5691, -7655, -9631, -11625, -13643, -15691, -17775, -19901?\nAnswer: -22075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1071 + 1262 + -116 + -1\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3764 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -5, -2\/3, 2\/17, 3.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -321, -585, -853, -1125?\n\"Answer: -2*z**2 - 258*z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 12*s**2 + 16*s + 40. Let u be w(10). Solve -3*c - 9 = u, -4*c = 2*d - 3*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21541.94543 to the nearest one hundred.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/22344 and 80\/9177.\nAnswer: 513912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 15*w - 36. Let k be s(12). Suppose 108 = c - 5*l, k = 2*c + 5*l - l - 258. Let n = -12 + 26. What is the remainder when c is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260612*n + 260617*n - 1042433*n + 260603*n + 260606*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (28 + -29 - -48).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*t**3 - 275*t + 275*t - 73*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 6*k**3 + 3 - 2 - 17*k**3 - k**3 + (-5*k + 2*k - 3*k)*(3 + 2*k**2 - 3) as p*k**2 + j*k + w + o*k**3 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277\/2175120 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/5)\/((-558)\/(-930))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836131 is divided by 403.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 35, 1.\nAnswer: -5, 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1836550 or -1836545?\nAnswer: -1836550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -6420\/140861 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1153, -2313, -3473, -4633?\n\"Answer: -1160*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 - f**2 + 1 + (0*f - f + 3*f)*(-1 + 1 + 2*f) + 0*f + 0*f + 2*f**2)*(-2*f + 1 - 1) + 859*f + 26709*f**3 - 53422*f**3 + 26714*f**3.\nAnswer: -9*f**3 + 857*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {o: 4, a: 8, z: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 75557552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15455 and 233144857?\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-782)\/1173)\/(1\/(-99)))\/(-6*(-14)\/168)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0*j - 6*j)*(-97*j + 64*j + 49*j).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76350.23 milliseconds in seconds?\nAnswer: 76.35023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 19715597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -202 + 13a?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**4 + 2 - 310*d + 330*d + 4*d**3 + 10*d**2 + 8*d**3 - 12*d**3 to the form f*d + q*d**4 + b*d**2 + i*d**3 + z and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -4, -1\/9 in decreasing order.\nAnswer: 1.1, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 2, o: 3, g: 1, j: 3}. Give prob of sequence gttj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 + 11*j\/4 - 14.\nAnswer: -(j - 14)*(j - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 11*v - 79 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68950 = 3325*k - 3290*k. What is the remainder when k is divided by 335?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a**2. Let y(g) = -851*g**2. Give y(l(r)).\nAnswer: -122544*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8636.9 * -6749\nAnswer: -58290438.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let u = 36 - h. Calculate the highest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 1282564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {m: 1, e: 1, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/8)*v**(-25)*v assuming v is positive.\nAnswer: v**(-191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:38 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 4.8. Let d = 7.6 + 2. Let i = -9.8 + d. Which is the closest to p? (a) i (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 15*q + 15*q)*(5 + 2 + q - 2)*(-4 + 2 + 4).\nAnswer: -8*q**3 - 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.85 + -0.15. Let y = 267 + -416. Let a = y + 148.9. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -w + 3, 2*v - 4*w + 18 = v. Is 0 - (0 - v) - -40 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 2*t - t + (-4*t + 2*t + 0*t)*(-6 + 2 + 3) + 1395*t - 714*t - 779*t + (-48*t + 36*t + 71*t)*(0 - 4 + 6) in the form v*t + w and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 378131037 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1001 - 999. Solve 0 = -x*m + 7*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 414*n**3 - 22434*n**2 + 104434*n - 122412 = 0. What is n?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.3 + 5647.58633.\nAnswer: 5687.88633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 4:59 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 39025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 2*x**7\/105 + x**6\/36 - 7*x**3\/6 + 13*x. Let z(j) be the second derivative of o(j). Find the third derivative of z(v) wrt v.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, -5, -6\/7, -4, -0.5 in decreasing order.\nAnswer: 5, 2\/3, -0.5, -6\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t*t**(-7)*t)\/((t**8\/t)\/t**4))**(1\/8) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 4*c**2 + 2*c - 4. Let y be o(4). Suppose y*k - 12 = 4. Find the second derivative of 2*n**4 + 2*n**4 + 0*n**4 + k*n wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75.48 - -32.7.\nAnswer: 108.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -178. Suppose 54*i - 80 = d*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 550 - 549.99999421. Round t to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 16 + 2*a**3 + 2*a + (-3 + 3 + 2*a)*(2*a**2 - 3*a**2 + 2*a**2) + 3*a**3 - 2*a**3 + a**3 as l*a**2 + m*a + o + t*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -74\/37019?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let i(p) be the second derivative of p**6\/120 + 2*p**3\/3 + 2*p. Let f(h) be the second derivative of i(h). Calculate f(l(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -171125 divided by 1444\nAnswer: -171125\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 5356?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 91 - 5 = 3*j, -a + 3*j = -32. List the prime factors of 1884\/a - 1\/(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*t + 466003 = -82*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*c + 23, 31*c - 33*c - 5*f + 21 = 0. Let n(g) be the second derivative of -1\/12*g**4 + 0 + g**3 + 11\/2*g**2 - 2*g. What is n(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 3. Let v be m(-12). Solve 0 = g + 3*s + 14, -3*g = 3*s + 3 + v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 55 = -f, f = -2*f - m + 193. Suppose 2*w + s - 153 = 28, -2*w - 5*s + 169 = 0. Let r = w + f. What is the highest common factor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 3. Let i(q) = q. Let g(f) = -6*i(f) - y(f). Let n(s) = -s + 1. Let u(v) = -g(v) + 3*n(v). Determine u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006572225 rounded to 7 dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 4*c + 2. Let v be n(-3). Let f(r) = -v*r**2 + 3*r**2 + 0*r**2. Let i(h) = -8 - h + 8. What is f(i(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8*v**10\/v*(v**0)**(-2\/19) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 1, 2, 17, 52, 113, 206, 337?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 38, 90, 192, 362, 618?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 4*c. Let y(d) = -d**2 - d. Let h be 3 - (1*-6 + 4). Let j be (-2)\/((-10)\/h)*1. Give j*y(o) - u(o).\nAnswer: 2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((153\/340)\/((-3)\/(-8)))\/((-1)\/15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15714 - -15717. Which is the biggest value? (a) p (b) -1\/4 (c) 1 (d) 231\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 + 3*t + 37. Is z(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/105)\/((-9)\/((-693)\/(-44))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -20\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*k - 30*k - 48*k)*(-k**2 - k**2 - k**2) to i + o*k**3 + w*k**2 + b*k and give o.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -72. Let k = -17 - u. What is the highest common divisor of 70 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/8 and 13\/1846653.\nAnswer: 14773224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 11*p - 9*p - 7*p + 27*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1688 and -145\/1266.\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*l - 6 = -0*v, 5*l = -5*v + 10. Let x be 4*(v - (-2 + 3)). Solve 2*n = 3*r - 9, n + 8 - 31 = -x*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 18. Let q(y) = -y**2 + 12*y + 4. Let w be q(11). Let o be l(w). Suppose 6*p - 123 = o*p. Calculate the remainder when 120 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -1. Let x = 7 - 2. What is the nearest to f in x, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from xuxxuuxuuuu?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t + 69. Let r be f(-6). Let d be r + (4 - 5)*81. Let n = -169\/2 - d. What is the closest to -0.7 in 2\/13, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2 - 2*u**2 + 5*u**2 + u - 1 + 3.\nAnswer: -(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 34. Solve 3*h + 19 = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 8*f - 3. Calculate s(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1222, -2457, -3706, -4975, -6270, -7597, -8962?\n\"Answer: -o**3 - o**2 - 1225*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46*h*o*t**2 + h*o - 50*o*t**2 + 4*o + 9312 wrt t?\nAnswer: 92*h*o*t - 100*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-5)\/(-25))*20\/12. Sort 18, u, -3, 4, -5.\nAnswer: -5, -3, u, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - 5 - -46 - ((3 - -18) + 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {z: 3, b: 2, x: 5, p: 1, u: 3, t: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + o = 34, 4*b + 12490*o - 56 = 12494*o for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 2 r when four letters picked without replacement from mshrrssmmrusm?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15833 - -37676. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -258, -262?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.2, 1, -826\/37 in decreasing order.\nAnswer: 1, 2\/11, -0.2, -826\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/4692*1666*-3*1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -1695*u + 1699*u - 29, 13*u - 3 = -2*x + 68 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -1.62. Let x = -1.8 + n. Let a be (56\/7 + -3)*4\/30. Put a, 1, 0, x in descending order.\nAnswer: 1, a, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063385 is divided by 1063368?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -2*t. Let n(c) = 34*c**2 + 4 + 4*c - t - 3*c**2 - 4*c**2. What is the hundreds digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 296, 400, 512, 632, 760?\n\"Answer: 4*s**2 + 92*s + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 24*a**2. Let g(l) = -15*l - 108. What is g(u(o))?\nAnswer: -360*o**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 72*d - 393. Calculate the remainder when 60\/8*40\/6 is divided by g(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -2*(-5 - -6). Let d be 1\/s + 7*9\/15. Which is bigger: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6166 divided by 7.\nAnswer: -6166\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnzp when four letters picked without replacement from pnncnpnpbwzwzpc?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -20000, -5, 0.04, -3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 44*a**2 + 413*a - 30. Determine t(15).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 1. Calculate the remainder when o is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -184 (b) 5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -12 - (-8 + 22 - (0 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*2 + sqrt(153)\/(sqrt(108)\/sqrt(12)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z - 445 = 4*r, 0 = -5*z - 4*r - 747. Let a be (-9075)\/50*8\/(-6). Let p = a - z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z + 17. What is the remainder when 98 is divided by r(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5)*p)**(-20))**(-5\/7) assuming p is positive.\nAnswer: p**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7222 and 64998.\nAnswer: 64998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let x(h) = -2*h - h + 0*h. Calculate x(k(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.259321*0.1\nAnswer: 0.0259321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let a = -7.4 + 11.4. Let b = 0.202 + -0.202. What is the smallest value in 1\/9, b, a, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2090, -2141, -2188, -2231, -2270, -2305, -2336?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-20))\/((99\/22)\/(-1)). Let p(j) be the third derivative of 3*j**2 - f*j**4 + 1\/450*j**5 + 4\/45*j**3 + 0 + 0*j. Factor p(b).\nAnswer: 2*(b - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5954*y - 39. Determine i(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 104?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -1102, -2538, -4548, -7126, -10266, -13962?\nAnswer: -18208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 2*g - 4. Let l be q(5). Suppose -l = 2*b + 7*b. Let h be (1\/2)\/((-2)\/12). Put b, h, 2 in ascending order.\nAnswer: b, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -371 + 191. Solve -2 = x*g - 17*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiii when four letters picked without replacement from {t: 7, i: 12}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5121 + -5120.3. Which is the closest to n? (a) 136 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1240803 times 0.3\nAnswer: 372240.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796829326.\nAnswer: 2, 898414663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-27))\/2*-3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 3*n + 1754 - 3*n**2 - 1749. Calculate j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 27 - (-3 + 0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**2 - 1. Let j be n(-1). Suppose -2 = -4*s + j. Solve 0 = s*h - 4 - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 - 350*j\/9.\nAnswer: 2*j*(j - 175)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398 and 289346?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-8)\/(-3))\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 13. Give d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2491, 2492, 2493, 2494?\n\"Answer: d + 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Let v(y) = 5*y - u*y - 3*y**2. Let t(a) = -a**2. Calculate t(v(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1199 + -1106. Calculate the highest common factor of m and 1488.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132820 + 28111 = 1679*i + 960*i - 221724 for i.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34250 by 882.\nAnswer: -17125\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemynxemmxm. Give prob of picking 1 m and 1 x.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 - i. Suppose -5*w + 10 = -v, w - 8 = 3*w + 2*v. Let u be r(w). Let g = 1 - -4. Sort u, g, 2\/9.\nAnswer: u, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + f)*(-3 + 5 + 0) + 4 + 2*f - 4 + (-2 + 3 + 0)*(-3 + 3 + f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-1) + -42 + 25 + 9. Which is the third smallest value? (a) g (b) 1\/3 (c) 10 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 4)*(-62*u + 92*u + 66*u)*(-65*u + 151*u - 77*u).\nAnswer: 2592*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7910 divided by -5?\nAnswer: -1582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*n - 18, -3*n - 2*t - 68 = -50. Solve n = 81*c - 112*c + 279 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39067 is divided by 444?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 20, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -24 - 12. Let n be v\/3 + 4 + -3. Solve 0 = 2*l + n*i + 13 + 2, 5*l = -5*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {x: 1, f: 1, q: 3, v: 1, h: 1, c: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220819870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-20)\/(-6) + -3). Let z = 0 - w. Suppose o = -z*o + 1172. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 11 - 7 + 11*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4377, -8723, -13093, -17481, -21881, -26287, -30693, -35093?\nAnswer: -39481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.4 (c) 1\/10 (d) -12.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -316.4296?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*j, -1 = -b + 2*j - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*c - 40, 4*d = -4*c + 9*c - 41. List the prime factors of (c + 2 - 0) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 - 35*q**3 + 28*q**3 - 61*q**3 - 4*q**2 + 22*q**3.\nAnswer: -46*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0378 from -1012544.317249.\nAnswer: -1012544.279449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/7 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*h = -15, 4*g - 2*h - h + 75 = 0. Let k = g - -25. Let c = k + -3. Solve -13 = -4*j + c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/16121 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0218441 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -0.02 (c) 8 (d) -1\/27 (e) -2\/7 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 6*j - 5. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 13*w - 1. Let c be s(6). Suppose -c*g - 3 = -6*g. Suppose 0 = -3*b - g + 15. Solve -i - 15 = 2*l - 2*i, -3*i = -b*l - 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190*m - 1160\/3 + 5\/3*m**2.\nAnswer: 5*(m - 116)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*y + 23, -h + 607 = -5*y + 612 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {f: 1, k: 2, t: 7, g: 5, h: 1, c: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 6890632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 5*w + 3. Let a(i) = -39*i. Let x be 18\/(-12)*2*(-1)\/(-3). Let q be a(x). Suppose 30 = -4*c - s + 1, 3*s = -4*c - q. Calculate j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4711 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000221 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 100*u - 9. Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/10667967 or -1?\nAnswer: -19\/10667967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/24 + 16*r**2 + 2*r + 5. Let m(o) be the third derivative of o**5\/6 - o**3\/3 + 2*o**2. What is m(c(j))?\nAnswer: 10*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - 0) + -1 - (-31 - (-45 - (-74 - -51))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4462693 and 4?\nAnswer: 17850772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = 18006*s - 18039*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5604687 or 5604688?\nAnswer: 5604687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 73.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34409*p**5*x - 2*p**2 - 10*p*x - 16*p - 43*x + 5 wrt p?\nAnswer: 688180*p**3*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 6*o + 2. Suppose -5*a + 2*p + 20 = 0, 2*p = -a - p + 4. Calculate x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 624 = -19*d - 524 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80.5 - -108. Round s to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 43*a + 248. Calculate n(31).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12)\/((y*y**6*y)\/y) assuming y is positive.\nAnswer: y**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*k + 7*k + 3*r, -3 = -3*k + 3*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28825004 or -28825003?\nAnswer: -28825003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-5*k - 2 + 2)*(-3 + 3 + 13).\nAnswer: -130*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -1022351?\nAnswer: -1022350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 2*r - 15, 0 = -3*q + 29*r - 28*r + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyysyxyyy.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g)**(22\/5)*(g**(-1)\/g)**(-12) assuming g is positive.\nAnswer: g**(186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeevehheee. Give prob of sequence hhe.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11 = 9. Suppose 3*r = 3*k - 342, -3*r - 1 = 5. Suppose -g + 2*a - 68 = -b*g, 5*g + 2*a - k = 0. Calculate the lowest common multiple of g and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/((-2)\/6). Let i(j) be the third derivative of -j**6\/120 + j**4\/8 + j**3\/6 - 6*j**2. List the prime factors of i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**33)**(-7) assuming s is positive.\nAnswer: s**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34965 + -34963. Factor 2 - 13\/3*m - 8\/3*m**x.\nAnswer: -(m + 2)*(8*m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 4. What is the units digit of k(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -55, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 2:31 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s + 4*q + 137 = 0, -4*s + 189 = q. Suppose -5*p - 32 = -s. Factor 3*i**4 + 2*i**p - 2651*i**5 - 4*i**2 + 0*i**2 + 1 + 2649*i**5.\nAnswer: -(i - 1)**3*(i + 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmwebtlb. What is prob of sequence bw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7732 and 1816?\nAnswer: 3510328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/4 + 442322*h**3 + 7077141*h**2\/4 + 4423211*h\/2 + 884642 = 0.\nAnswer: -1769284, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 15 = 3*h + 2*b, -4*b + 21 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50415*q**2*v + 6*q**2 - 12*v - 115267 wrt q?\nAnswer: -100830*q*v + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 595411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 20. Suppose 0 = -3*v + o*f + 137, -4*v + f + f + 182 = 0. Let w = -14 - -26. Calculate the remainder when v is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 71 + (3 + 0 - 4) - (1903 + -1903).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 9 + (-1 - 2). Which is the second smallest value? (a) -5 (b) 0.1 (c) o (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -8*u + 36. Let k = 14 + u. Suppose a = k*a. Are 1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4531913 to the nearest 1000.\nAnswer: -4532000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 + -4.78. Which is the smallest value? (a) d (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 156. Suppose 0 = -3*l - 3*t + u, -5*t + 4 = -l + 23. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 25*b. Let m be x(-1). Which is bigger: -24 or m?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.37 and 37?\nAnswer: 13.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3030\/4*(-12)\/(-75). Let m = x + -7818\/65. Let u = -3 + 3. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 234999.5 micrometers?\nAnswer: 0.0002349995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-8))\/(36805\/(-21650))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 18*f + 14. Let n be k(16). Let a be (-126002)\/(-18) - (-2)\/n. Round a to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.0574.\nAnswer: 0.01722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/80*-12*6\/(-9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {e: 1, y: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -56*v + 8. What is the units digit of y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4\/f)\/f)\/(f**(-7)\/f)*f**(-2\/7)\/(f*f*f**2)*(f**1)**(-29\/3)*(f**(-1\/4))**(6\/37) assuming f is positive.\nAnswer: f**(-6205\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*m - 0*m - 34, 0 = 4*a + m + 27. Let y be a\/(-84) + 0\/(-1). What is the third biggest value in 4, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:53 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1545017, -3089880, -4634741, -6179600, -7724457?\n\"Answer: y**2 - 1544866*y - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10326*-64.\nAnswer: 660864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132.1 and 0.1727.\nAnswer: -22.81367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(96) - (sqrt(96) + (sqrt(96) - (-1*sqrt(96) + sqrt(96))) + sqrt(96))) - sqrt(96))\/sqrt(12))\/(5*-6*sqrt(4)*-2).\nAnswer: -3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 0, -4*w = 443*j - 444*j + 13. Which is the second biggest value? (a) -5 (b) w (c) 2\/149 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 3*x - 3*x + 2 - 3*x - x + 6*x + (2*x + 0*x - x)*(4 - 2 - 1) - 1 + 1 - 2*x - 3*x + 3*x - x + 4 - x - 4.\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + s + 25 = 0, -3*s + 790 = 3*y + 757. Solve 3*c + 24 = 3*k, -4*k = 3*c + 23 - y for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8857, -1, -28, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.5, 2\/13 in decreasing order.\nAnswer: 0.5, 1\/5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 370 - 262. What is the greatest common factor of 36 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1088 + -1083. Let l(c) = 2*c**2 + c - 5. Let z be l(-6). Factor b**3 + z*b**a + 4*b**4 - 60*b**5 - 2*b**4.\nAnswer: b**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2366*b**4 + b**3 - 2*b**2 - 9686.\nAnswer: -9464*b**3 + 3*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -13\/5*a - 17\/2*a**2 + 29\/10*a**4 + 5\/2*a**3 + 1\/10*a**5 + 28\/5 = 0. Calculate a.\nAnswer: -28, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 117300.\nAnswer: 117300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:26 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2. Let s(b) = -17*b**2 - 33*b + 32. Let l(g) = 3*g**2 + 6*g - 5. Let o(c) = -13*l(c) - 2*s(c). Calculate 3*i(x) + o(x).\nAnswer: -2*x**2 - 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.094 - 2. Let y = -0.599 + a. Round y to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 8:58 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343\/142 + 6\/71. Let n = 56 - -73. Let w = n + -133. Which is the closest to -2? (a) l (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 11. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14270890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 29*m**2 - 2982*m + 6. Calculate i(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 93\/546 - 4\/14. Let s(y) = -11*y - 340. Let r be s(-31). Is r greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 1 + 3 + sqrt(1053) + 5)**2 + -3.\nAnswer: 324*sqrt(13) + 4290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3737404248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 26 = -6*x + 11*x, 0 = 5*d - x. Put -4, -3, d, -2\/33 in ascending order.\nAnswer: -4, -3, d, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683856171.\nAnswer: 3, 23, 457, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.05245*1534\nAnswer: -80.4583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*m + 4*m - 52 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155 + -164. Let j be ((-5)\/(-2))\/((-1)\/(-2)). Suppose 25 = -2*n + g + 9, 0 = -5*n + j*g - 30. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -29. Let v = -2.8 - -3.8. What is the nearest to 1 in v, -1, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b = 0. Suppose 4*m + 4*u - 1428 = 0, -4*m + 5*u + b*u = -1437. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/18 and 93\/459794.\nAnswer: 4138146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11886\/336 - (-14)\/(-224)*-10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118894 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 - 286 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l**3 - 10*l**2 + 48*l - 15. What is the hundreds digit of f(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 141*b - 3219. What is j(23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 6. Let m(v) = -4*v**2 - v**g + 6*v + v + 8 - v**2. Determine m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*j**3 - 3823 + j - 2433*j**3 - 1007*j**3 - j wrt j?\nAnswer: -10434*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2. Let h(b) = 11*b**2 - 2*b - 4. Let o(t) = 1020*t**2 - 187*t - 374. Let d(q) = -187*h(q) + 2*o(q). Calculate j(d(r)).\nAnswer: -578*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19*-37\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (34 - -2) + -22 + (8 - -2) + -2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3231838*i**3 + 2508800*i**2?\nAnswer: -19391028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.44251us in seconds?\nAnswer: 0.00007244251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:40 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*g - 200, g + 30 = 2*y - 20. Let z = 577 + g. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 8832*i**3 + 26520*i**2 - 26528*i + 8844.\nAnswer: -4*(i - 1)**3*(i + 2211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**29)*(p*p**21)\/p*p assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 86. What is the least common multiple of 2 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 6. Let o be n(-2). Let l(z) = 17*z + 2. Let q be l(1). Let u = q + -6. Solve -3 = 2*s + m, -2*s + u = -o*s + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -19*r**7\/840 + r**4\/12 + 2*r**3 - 10*r. Let p(y) be the second derivative of b(y). What is the derivative of p(x) wrt x?\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*j = -180*j + 105. What is the remainder when j is divided by (-2)\/4*-11*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332 = 1457412*q - 1457523*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5277936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6413394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 - 4*d + 33. Let c be i(-6). Let m = -55 - c. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 5:24 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11245 - 33?\nAnswer: -11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -9*o**8\/2240 + 11*o**7\/840 - o**6\/120 - 5*o**4\/24 + 4*o**2. Let y(u) be the second derivative of d(u). Factor y(h).\nAnswer: -3*h*(h - 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 4*p - 52, -3*w + 3 = -1386*p + 1387*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*(-12)\/15. Suppose -m*h = -7*x + 4*x - 10, -2*x - 9 = h. What is the nearest to 0 in -2, h, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**33)*b\/b**(-33))\/(b\/(b**(-1\/14)\/b*b)*b)**(-20\/3) assuming b is positive.\nAnswer: b**(290\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 55*m + 240 = 0. Solve 8*p + m = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0356 - 10.9644. Sort a, -2, 0 in decreasing order.\nAnswer: 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -11 + 48 - -18.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (18 - 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 - 477 + 237 - 7*j**2 to the form o + w*j**2 + s*j and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/9 and (234\/(-4) + 3)*(-6)\/243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190022 and 5301226.\nAnswer: 3878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*d)*((4 - 4 - 2*d)*(-2*d + 0*d + d) - 7 + 7 + 6*d**2) in the form t*d + h*d**3 + r + v*d**2 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 393962 + 131877. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/6 + 84*p. Let v(k) = -2*k**2 + 4*k. Calculate y(v(m)).\nAnswer: 8*m**4 - 32*m**3 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 158*t**2 - 642*t + 646. Let d(q) = -2*q**3 - 160*q**2 + 643*q - 645. Let z(g) = -3*c(g) - 2*d(g). Find b, given that z(b) = 0.\nAnswer: -81, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 559 and 1560.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.17 + 123.83. Let z = l - 127. Let o = 216 - 5834\/27. Which is the second smallest value? (a) z (b) 3\/7 (c) o (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534873?\nAnswer: 11, 79, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 4*h - 15. Let o be (-46)\/138 + (-56)\/(-6). Does 23 divide w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 980 - 1120.2. Let w = l - -161. Let n = w + -24. What is n rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364843954.\nAnswer: 2, 29, 6290413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a minute in milliseconds?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -9. Let u(t) = -2*t + 4*t**3 - w*t**3 + t. List the prime factors of u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-14) + (-13)\/(-7). Suppose b*g + 136 = 6*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7118 is divided by 264?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10215034150 + 4?\nAnswer: 10215034154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-50)*(-1)\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1\/6 (b) 13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 1, b: 1, h: 1, y: 1}. What is prob of picking 2 y, 1 h, and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - h + 2. Let u be x(0). Solve -2*v = u*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 69078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 11 + 1)*(-d + 4*d - d)*(-63*d - 44 + 44).\nAnswer: 2898*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 + (-95234)\/2380)\/(((-30)\/(-75))\/(7\/(-25)))?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675527963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -51, -8 in ascending order.\nAnswer: -51, -8, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)*2)\/sqrt(7))\/sqrt(5))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 10. Let k(w) = w + 16. Let i be 1 + -7 + 18\/2 + 2. Let z(g) = -g - 13. Let q(o) = i*z(o) + 4*k(o). Determine -6*q(p) - t(p).\nAnswer: 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 305052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -3385998 and 0.214.\nAnswer: -3385997.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(5 + -2) + 2. Suppose 0 = 3*l - 1 - f. Suppose -l*g - 116 = -4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18820 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. What are the prime factors of 2\/s - (-70)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8248 and -164095814.\nAnswer: -164104062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39326382 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129904523.\nAnswer: 2129904523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**2\/2 - 7*i + 1. Let p(v) = 3*v + 14. Let m be p(0). Let d be -12*(3 + m\/(-4)). What is f(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(110)\/sqrt(99)) + (sqrt(153)*-5 + 1 - sqrt(153)))**2.\nAnswer: -30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2630 and -14.\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(1\/2))*i)\/i)\/i)**(-1\/7)\/(i**6*i\/(i\/(i**(3\/2)\/i))) assuming i is positive.\nAnswer: i**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, a: 8, y: 5}. Give prob of sequence aay.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(3 + sqrt(72)*2 + -4)*-5)**2.\nAnswer: -540000*sqrt(2) + 6502500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484884.\nAnswer: 2, 3, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011888852 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus 44280288?\nAnswer: -44280288.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1100)*3*-2 + 1 + -6*(sqrt(1100) + 2) + 5)**2 + 3)*6.\nAnswer: 43200*sqrt(11) + 4753098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29.2*-3.719\nAnswer: 108.5948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011100 + 1111100110001?\nAnswer: 1101010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 114 and -460.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1141545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c + 3*i, 3*c + 4*i = 21. What is the common denominator of -71\/9 and (-1904)\/1056 + (-1)\/c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384.7 + -5?\nAnswer: 1379.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13874563 (base 9) in base 5?\nAnswer: 3231231424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*g**4 - 49103940*g**3 + 13395603935780*g**2 - 35721348608160*g + 23814174208320.\nAnswer: 5*(g - 545598)**2*(3*g - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p - 2. Let w be v(2). Let f be ((-1793)\/12)\/(3\/w). Let h = f - 619\/3. Find the common denominator of h and 6\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5617 is divided by 342?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*(-140)\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 70, 195, 404, 739, 1242, 1955, 2920, 4179?\n\"Answer: 7*l**3 + 76*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10021131 (base 4) in base 2?\nAnswer: -100001001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 34*t - 14. Let s be m(-11). Let z be s\/75*(-40)\/6. Let j = -2 - -2. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1115 - 1114.4638. Let g = -0.53 + f. What is g rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511948945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 179.078. Let w = b - -0.07800712. Round w to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59c8 (base 13) to base 9.\nAnswer: -18337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.3, 220, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -196*t + 62. Let h(q) = -73*q + 21. Let s(u) = 8*h(u) - 3*j(u). What is s(14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -13*r**5\/30 - r**4\/3 - 5*r**2 + r - 24. Let x(w) be the second derivative of y(w). Find the second derivative of x(k) wrt k.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2108, 0.2, 1\/2, 0.3, -3 in ascending order.\nAnswer: -3, -0.2108, 0.2, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/33 and -7\/3461142.\nAnswer: 38072562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + c)*(-2 + 0 - 1) - 254 + 2*c - 341 + 1 to g*c + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-459)\/(-18)*(-2)\/(-3). Suppose 4*x - 12 = 0, 0 = 4*a + 4*x - x - q. Solve 2\/5*z - 8\/5*z**a + 0 = 0 for z.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 divided by 1?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:00 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and 2.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmme when four letters picked without replacement from {m: 2, a: 2, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -484, -3, -1\/13, 2\/13, 4\/7, -5, -9?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.89. Let f = b - -1. What is the second biggest value in f, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 19, -425 in ascending order.\nAnswer: -425, -5, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212527*h*w - 411938*h - w + 2 with respect to w.\nAnswer: -212527*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**3 + 5*o - 6. Let j(m) = -18*m**3 - 6*m + 7. Determine -5*j(x) - 6*z(x).\nAnswer: -12*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.7 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**7\/840 + x**6\/120 + x**5\/30 - x**4\/6 + 61*x**3\/3 - 104*x. Let k(a) be the second derivative of w(a). What is k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3831 or -3833?\nAnswer: -3833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 336 + -304. Suppose -7*y + 4*y + c + 56 = 0, -n = -y + 3*c. Let g(z) = 2*z**2 + 8*z + 9. What is the remainder when g(-6) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5133 or -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2\/5)\/((-10)\/25). Suppose 6*r - 2*r + 460 = 4*n, x*n = r + 472. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 132.6, 0.1, -1, -2\/5, -0.1, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, k: 9, w: 1, r: 2}. What is prob of picking 1 u, 1 w, and 1 k?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64407 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -4*i**3\/3 - 5*i**2\/2 + 9*i. Differentiate r(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558712313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 309396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a factor of 89503455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15330, 30661, 45992?\n\"Answer: 15331*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 16*j**2 - 14*j - 21. Let u be x(17). Is u not equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46681633 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.953 to zero dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 374.927 - 376. Let h = n + 0.073. Let p = -7 - -5. Which is the smallest value? (a) h (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + 0*t - 3*t - 134.\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 at most -2792\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -141876 (base 10) to base 13\nAnswer: -4c767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -614086.4 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 278364 divided by -6\nAnswer: -46394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 50461\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2 - (-5 + 3). Suppose -150 = -d*i + 2*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/((20\/(-25))\/((-18)\/180)).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(-15)\/(m**(-1\/3))**(-1\/33) assuming m is positive.\nAnswer: m**(2963\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02788 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6958 and 1213926.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdjjjjsjjjjj. Give prob of picking 1 s, 1 j, and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/36)\/(120\/2160)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -19. Suppose -8 = -a*u - 3*k - 11, 0 = u - 5*k - 5. Solve -s - y = -u*y + 1, 4*s - 2*y + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 8:22 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + m - 18. Give d(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 4*r)*(r - 2*r + 15*r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159970060?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/((-88550)\/92) + (-33)\/100 - 214\/8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11498336 or 80488342\/7?\nAnswer: 11498336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 95. Suppose -3*h + 20 = 5. Suppose -h*f - y = 4. Which is smaller: -2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 * -241857\nAnswer: 1281842.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183\/8 - 179\/8. What is the third smallest value in d, 2\/3, -2\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y**2)*(-2 - 2*y + 2) + (-3*y**3 + 3*y**3 - 2*y**3)*(-13 - 44 - 2).\nAnswer: 122*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13122.4192 to the nearest 100.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634106*a**3 + 109*a**2 - 634110*a**3 - 110*a**2.\nAnswer: -4*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20022211 (base 3) to base 11\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 803632154 to the power of 1\/3, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386 is divided by 237.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117, -288, -485, -720, -1005?\n\"Answer: -2*l**3 - l**2 - 154*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -416*p - 442*p - 813*p + 37*p as a + w*p and give w.\nAnswer: -1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:58 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 + 4. Calculate the least common multiple of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - -20. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -3074?\nAnswer: -3136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*d**5 + 79*d**5 - 19*d**2 + 0*d**3 + 0*d**3 wrt d?\nAnswer: -1140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*t - 6. Let a(b) = -b - 1 - b**2 - b**2 - b**2 + 4*b**2. Let s(x) = 5*x**2 + 3*x - 5. Let w(f) = -4*a(f) + s(f). Give w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2. Let b(i) = 14*i**2 - 2*i - 1. Let v be b(-1). Let m(g) = v*g**2 + g**2 - 7*g**2. Calculate r(m(n)).\nAnswer: 486*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9528 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 l = 34 + -9. Let f(g) = -3*g**2 + 25*g - 2 - l*g. Give f(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o = 494 - 686 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 65 = 5*r, -108 = 157*y - 160*y - 3*r. Sort 5, y, 3, -1 in descending order.\nAnswer: y, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34907b7 (base 12) to base 6.\nAnswer: -1001205151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - -47 - (-2 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 8*y**2 + 8*y - 6. Let k be a(7). Let u = k - -1. Suppose u*t = 6*c - 3*c + 23, 3*t = -4*c + 60. Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 647*c**2 + 413*c - 12622656?\nAnswer: 1294*c + 413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-48) + 602735\/168)\/(2\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37349235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + p**2. Let k(s) = s. Let m(a) = -2*a - 2*a + a + 2*a. Let d(n) = -4*k(n) - m(n). Determine i(d(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006909 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t*t**(-2)\/t*t)\/t)\/t))**(18\/7)\/(((t\/(t**(1\/9)*t))\/t*t)\/t**(-1)) assuming t is positive.\nAnswer: t**(592\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127049137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 - 21*k**2 - 142*k + 22. Calculate h(-7).\nAnswer: -1385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3025*q + 34. Let y(h) = -3*h - 3. Let s(c) = u(c) + y(c). Differentiate s(t) with respect to t.\nAnswer: 3022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 - b**2 + 0*b**3 - 2 + 5*b**3 - b**4 to the form u*b + j + h*b**4 + k*b**3 + y*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let q be b(4). Let u be ((-4)\/q)\/((-1)\/4). Let g = 640 - 638. Calculate the highest common divisor of u and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5887 and 0.49775.\nAnswer: -2930.25425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.77 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 261, 420, 599, 798, 1017, 1256?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7149 is divided by 1428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17832.41 micrograms in tonnes?\nAnswer: 0.00000001783241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.24281 tonnes to kilograms.\nAnswer: 65242.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 18 = 4*s - 0*s, 14 = 2*s + 5*p. Let b be (3 - s)\/((-4)\/(-1)). Does -0.8 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 4 + 7 + 2*j. Let q be g(9). Solve w - 18 = -4*m, -5*m = w - q*w - 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888 (base 13) to base 4.\nAnswer: 112320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47835.\nAnswer: 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -78. Let z be 1\/l - (-390400016)\/64. What is z rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiibbbibbbbkikbiii. What is prob of picking 1 i and 1 b?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -3\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 4, s: 1}. Give prob of picking 1 p and 2 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3659046 days?\nAnswer: 31614157.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - 3. Let z be (3246\/(-32))\/((-15)\/k). Let t = z - -925\/8. Find the common denominator of -19\/9 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4) - sqrt(20))*-3 + -4*sqrt(720))\/(-2*(sqrt(4) + 1*sqrt(256) + sqrt(256))*-3).\nAnswer: -4*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67864661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423936 equal to 3423962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 + 499. Suppose 18 = g*i - 34*i. Let s(u) = -3*u - 4. Give s(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1269138 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 443\/5. Which is the closest to -0.4? (a) q (b) 1\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 29449.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68, -49, -166, -283, -400?\n\"Answer: -117*j + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y\/(y\/y**0*y)))\/(y**(2\/5)*y**(-7)) assuming y is positive.\nAnswer: y**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**3 - 621*v**2 - 2*v + 144. Determine h(69).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1105 - 303 = -5*p, -8 = -2*i. What is the remainder when p is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 16 - ((-49 - -53) + (-4 - -6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 10 + -14 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5623*z - 5635*z + 108, 10*d = z + 5*d - 30 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739506235.\nAnswer: 5, 167, 739, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*z - z - 24, -p + 8 = -5*z. Let f be (-9)\/(-4) + (-2)\/p. Let m(t) = -2*t + 2 - t + f*t. What is m(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.000055 - -27. What is f rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -7, 0, -2\/3.\nAnswer: -7, -2\/3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 686?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 + 25. Find the common denominator of h\/(-20)*40\/(-48) and (10 - -4)\/((-24)\/11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/10)\/((-7*(-9)\/630)\/2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (2\/1 - 0). Let a(r) = r - 10 + 2*r - v*r. Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + 185*15\/(-525).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10864229 + -0.109143. Round o to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 44. What is the tens digit of (-1884)\/1*(1 - (-15)\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -242*d - 48. Is q(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*w**3 + 24689*w**3 + 5818*w**3 + 7059*w**3.\nAnswer: 38526*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22001 - 12011010102012?\nAnswer: -12011010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205850 and 6325?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35461, -141856, -319183, -567442?\nAnswer: -886633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*t = 20, 5*p - t = -2*t + 25. What is the third derivative of 3*w - 3*w - w**2 - 3*w**p wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 - -0.13. Let k = 0.063 - -0.837. Let l = 0.7 - k. Which is the smallest value? (a) 5\/7 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 0.27. Let f = -3634.95 - -3635. Which is the closest to p? (a) 2\/3 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*-2*(-2)\/(-36). What is the closest to -0.5 in k, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -38. Let v = h + -17. Let r be 3\/v*-3 + 1. What is the nearest to r in 5\/3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1489651 - -1007?\nAnswer: 1007.1489651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420562 and 104482?\nAnswer: 50046878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - x - 90 - 11 - 18 - 81 as l + h*x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 336206 + 6071858 = 0. Let m = 416344 + x. Let k = m - -192664. Round k to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, o: 4, e: 4}. What is prob of picking 3 e and 1 o?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3\/5)*v*v)\/v*((v\/(v\/v**2))\/v)\/v)\/((v**6\/v)\/v*v\/(v\/v**(-7)))*((v**(-2\/7)\/v)\/v*v*v**(1\/7)*v)\/(((v\/v**0)\/v)\/v*(v**3*v)\/v) assuming v is positive.\nAnswer: v**(121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 48 = 4*s, 3*c - 5*s - 12 = -0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/2 - 2*q**3\/3 - q**2 + 1415*q - 162. List the prime factors of c(0).\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -335.7.\nAnswer: -336.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 + 2*b**4\/3 + 3*b**3\/2 - 7*b**2\/2 + 9*b. Does 13 divide f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -17. Let w(a) = a**2 - 8*a + 3. Let b be w(q). Suppose b*x + r - 6 = 0, 2*x + 3 = -5*r - 6. Solve 3*t + 6*m - x*m + 3 = 0, -3*m = -3*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 1312531389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 15 - (130 + -124).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220 divided by 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-1375))\/(1770\/51625).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/s**(1\/4))\/(s**(-2\/7))**(-2\/43)*(s\/s**(-1\/8)*s*s**(-2\/3))\/(s**(-4)\/s**(-3)) assuming s is positive.\nAnswer: s**(10439\/7224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1348*g - 4036*g + 1347*g + 3*g**3 - 13 + 1341*g - 2*g**2 in the form i*g**2 + f*g + v + w*g**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-1 - (-152)\/(-36)) + 3. Put b, 1\/2, -0.1, 0.1 in decreasing order.\nAnswer: 1\/2, 0.1, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 85*t - 8508. Let v be d(100). Let y(f) = -22*f - 180. Determine y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 104459, 104382, 104315, 104264, 104235, 104234?\n\"Answer: r**3 - r**2 - 81*r + 104540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1018844 and 0.1.\nAnswer: 101884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -994, -4216, -9678, -17386, -27346?\n\"Answer: -q**3 - 1114*q**2 + 127*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 4. Let y = -3 - -8. Let l = y - 1. Determine q(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 913217 = -2*s + 740688, -5*i + 2*s + 2756535 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-4 - (-5 - -13) - -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let c(l) = -4721*l**2. What is c(i(g))?\nAnswer: -18884*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 6*l. Let b = l - -9. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 + 123. Which is bigger: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3\/3 + 2*q**2 + 29*q + 1372. What is a(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j + 1. Let v(a) = -24*a**2 - 10*a + 5. Let n(h) = -5*d(h) + v(h). Find the second derivative of n(i) wrt i.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 10\/(-30) - (-35)\/(-60).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.58 and -0.01813422283.\nAnswer: -0.59813422283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12394)\/3*5*(-54)\/180.\nAnswer: 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.4. Let a = 1.21 + -1.3. Let o = a - -0.39. What is the second smallest value in 4, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97081606380 to the nearest 1000000.\nAnswer: -97082000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-210))\/(12\/(-10))*(-100)\/36*-6\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p**2 + 1. What is o(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -5. Suppose 0 = 10*a - w - 1. Let y be -1 + (-2 - (-10 - -2)). Sort -3, a, y in ascending order.\nAnswer: -3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690460, 690461, 690462, 690463?\nAnswer: 690464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 + 2. Let z = 3\/440 + -949\/10120. Which is the second biggest value? (a) z (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744014437.\nAnswer: 73, 51287869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16953947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253.34802 + 10691.752. Let d = -10945 + h. Let y = 0.1 - d. What is y rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914*t + 52*t - 1818*t.\nAnswer: -2680*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 85. Let m(l) = 25 - 10 - 11 - q - l. Give m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 1. Suppose 20*x + 13 = 93. Let q(r) = 2 + 0 - r - x + 1. Determine 2*q(i) - t(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v. Let h(q) be the first derivative of 4*q**2 - 525. What is k(h(u))?\nAnswer: -64*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, m: 2, o: 2, h: 3, d: 2, v: 2}. What is prob of picking 1 v, 1 p, and 1 m?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 179862440*z - 4043812165344200.\nAnswer: -2*(z - 44965610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-104)\/(-13))\/((-5)\/(-115)*2). What is the greatest common divisor of 9476 and r?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 8*j - 10. Let p be a(-5). Suppose 0 = p*v + 92 - 317. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/3 - i**2 - 5*i - 7. Let k be y(4). Suppose -k*s = -7*s + 812. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5164.99995851 - -5165. Round z to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 311742909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:42 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(1125\/210)*(-3)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112064.5 litres in millilitres?\nAnswer: 112064500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1907 by 304712.\nAnswer: 1907\/304712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.037701 - -0.137.\nAnswer: 0.174701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvjj. Give prob of sequence jjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-38)\/(-76))\/((1\/4)\/1). Solve 3*j - 1 = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - 2) + 2)*-5. Suppose -y + 0*z + 14 = -4*z, u*z = 2*y - 28. What is the remainder when 54 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -1, -4, 5, 17 in decreasing order.\nAnswer: 212, 17, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3b40 (base 12) to base 2\nAnswer: -1101010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = g - 48. What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -53, -93, -153, -239?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111000010110001100001 (base 2) to base 8\nAnswer: -7026141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from yooyooooooo?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = f - 4, -3*f + 6555 = -4*c + 6542 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 884204 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 4*n - 1. Let s be 1 + (6\/(-3) - -8). Let d = -6 - -9. Let j(f) = -d - 4*f**2 - 3 + s + 6*f. Give -5*j(g) - 7*k(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 342949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from kcckcdc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101.29 + 96.933. Let t = 0.357 + l. What is the second biggest value in -2\/19, 0.1, t?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197447 and 1.4?\nAnswer: 276425.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -8*l - 514 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567233228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -409 (base 15) to base 10\nAnswer: -909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*m - 169 + 56, 2*m + 3*t = 79. Calculate the remainder when 85 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*h = 38 - 52, -13 = 5*t + 4*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.518 + -1.518. Let y = 1.8 - 1.7. Which is the closest to 2\/9? (a) 5 (b) 1\/3 (c) y (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 8*b + 5. Let f be s(7). Is 912 + f + (0 - (5 + -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*c + 3*u, 16*c - 144 = 18*u - 21*u. Calculate the remainder when 47 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2785972 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15020321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(2\/5))\/j)**(-33)\/(j**0)**2)**(-48) assuming j is positive.\nAnswer: j**(-3168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - y**3 + y**3 + 5*y**4 - 2*y + 0*y**3 as s*y + u + a*y**2 + d*y**4 + c*y**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 3\/2 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983908.\nAnswer: 2, 47, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 + 3*c + 1 - 2*c - 7. Let u be x(11). Suppose u*s = 5*s - 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 4:48 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*-14)\/4*1. Let l be 4\/(-12) + a\/(-3). Suppose -3*h + 3 = -l*h. Solve -x = -v + 1, h*x = x - 3*v - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/15)\/u)\/u)**(1\/32)\/((u**(-1\/6)\/u*u*u)\/u*u\/u**(6\/17)) assuming u is positive.\nAnswer: u**(-1099\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:42 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u - 5. Let y(b) = b**2 - 6*b - 3. Let q be y(7). Let t(w) = 22*w - 10. Let z(r) = q*t(r) - 9*v(r). Differentiate z(h) with respect to h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178087603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -22*m, 4*m = -88*f + 90*f - 30 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 minus -11.506?\nAnswer: 11.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 0*i = -5*l - 36, 4*i = 5*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))**34\/(l**(2\/13))**(-2\/77) assuming l is positive.\nAnswer: l**(68072\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220672432 to the power of 1\/4, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2. Let s(y) = 1605*y - 824*y - 800*y. Give n(s(z)).\nAnswer: 1805*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s + 420*s**2 - 1 + 3 - 419*s**2 - 3. Suppose -32 = 5*m + 23. Calculate the least common multiple of 24 and l(m).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 8 - 2. Suppose 5*r + 18 = -3*k + 2*r, -4*k + 5*r - 24 = 0. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + 7*b - 1. Let r = 6 + -6. Let w be r + 3 - 2\/(-1). Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222597\/2 + (-8)\/(7 - 23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -8. Find the third derivative of -9*b**v + 10*b**2 + 4 - 4 - 5*b**4 wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4063235679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.3 + -8. Let g = -309\/70 - -172\/35. Which is the closest to s? (a) 7 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2551 + 2223 = -41*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -22*l. Let p(n) = -9978*n**2 + 2*n + 9931*n**2 + 2 - 2*n. Calculate p(o(d)).\nAnswer: -22748*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1359625217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298559, 298564, 298573, 298586, 298603, 298624?\nAnswer: 298649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 105. Let p = b - -80. Suppose 7*u - p = 4*u. Calculate the remainder when 31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7912, 31544, 70896, 125968?\nAnswer: 196760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -8, 546, -14 in descending order.\nAnswer: 546, 38, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36010763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5900 - -1877. What are the prime factors of h?\nAnswer: 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 189*d - 212. Let w = -416 + 415. Let c(n) = -2*n. Let j(o) = w*s(o) - 3*c(o). Differentiate j(u) wrt u.\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 5*k**2 - 3*k**2 + 2. Let s(p) = 4*p**2 + 2. Suppose -786*a + 804*a = -72. What is a*s(h) + 5*z(h)?\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -268 - -268. Let j be m*(-2 - (-4)\/4). Solve j = 14*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6668 is divided by 86?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -68. Suppose -4 = x*f - 4*u, 2*u = -3*f - u - 39. Let v be 107\/(-4) + (-1 - 6\/f). Is v at least -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/600 and 79\/312.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32304804671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 3*q + 16\/3*q**3 - 1\/3*q**4 + 9 + 18*q**2. What is l in x(l) = 0?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*x - 2, -4*x - 14 = -5*a + 11. Let b = 11 - a. Suppose 20 = u + 2*u + b*i, -2*i = -u + 12. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 8. Let s be y(-4). Suppose s*d - 96 + 28 = 0. Calculate the remainder when d is divided by (-1 - (-15)\/9)*15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206797347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u**4 + 66*u**3 + 33*u**2 - 216*u + 108 = 0.\nAnswer: -6, -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/(-6) - 1\/6. Let t = h - -8. What is the tens digit of 120\/10 + 1*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 19*l - 36*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. What is the common denominator of (93*(-2)\/(-15))\/m and 10\/24*33*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a. Let b(k) = 4*k + 65. Let w be b(-17). Let p be -1 + (-3)\/w - (-7 + -8). Let q(v) = p + v - 15 + 5*v. Calculate o(q(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2269*k**2 + 20 - 4 - 3 - 13 to h*k**2 + y*k + j and give h.\nAnswer: -2269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 - 109*o**4 + 3370*o**3 + 18550*o**2 - 2492875*o + 31084375 = 0. Calculate o.\nAnswer: -25, 29, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/7 and 134 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 112929 and -0.069.\nAnswer: 112928.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - g + 235. Let m be q(-9). What is the greatest common divisor of 1161 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19568 times -0.212\nAnswer: 4148.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77)*6 + sqrt(77)) + ((sqrt(77)*1 - sqrt(77))*1 + sqrt(77) - sqrt(77)) + sqrt(77))\/(sqrt(448) + 1*sqrt(448) - 4*sqrt(175)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18807*h - 1085 = 18772*h for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, f: 3}. What is prob of picking 2 a and 1 f?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129410*k**2\/9 - 11215534*k\/3 - 520\/9.\nAnswer: -2*(k + 260)*(64705*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 38730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n + 0*n + (1 + 0 + 1)*(-3 + n + 3) - 2*n + n + 2*n - n - 3*n + 3*n + (-n + 5*n + 0*n)*(7 - 2 - 3) + 6 + 3*n - 6.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.842 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:10 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4596*r + 6241365. Calculate i(1358).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 5*a - 30 = -2*u, 2*a = u - 6. Let m be (120\/(-144))\/((-2)\/(-12)). Let r be -2*8 + -8 + 10. Put m, r, u in increasing order.\nAnswer: r, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/39672 and -61\/2266263.\nAnswer: 18130104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 8, -3*s = -5*z + 46. Let q be (s\/(-7))\/(9\/126). Let x = q - 9. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -111. What is the lowest common multiple of 54 and (c\/((-8)\/(-6)))\/(45\/420)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1324 + -112?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 18*w**2 - 3613*w - 143623. Calculate o(-34).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.76824 micrograms to milligrams.\nAnswer: 0.03176824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 293*m**8\/42 + 7*m**5\/20 - m**4\/3 - 2570*m**2. Find the third derivative of d(u) wrt u.\nAnswer: 140640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 33*x + 85. What is n(6)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/30 + (2 - (-167)\/30) and 14\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*a**2 - 29*a**2 - 50*a**2)*(-1 - 1 - 1) to u + i*a + t*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4904473 + -7704473. What is y rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -0.3, -1539, 0.4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 17555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*n + 4*f - 202587 = 97*n, -2*f - 4 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-1)\/4)\/(4420\/1020)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -618.02611 rounded to the nearest integer?\nAnswer: -618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.745572 millennia?\nAnswer: 574.5572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10010000010010110000?\nAnswer: 10010000010010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - 0. Suppose -124 = -5*y + y. Let q = y - f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1218 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {p: 1, w: 1, i: 1, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 7324842?\nAnswer: -14649684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 4*h**2 - 3*h + 3. Let q be o(-4). Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*g - 59 = 0, 13 = -w + 2*g + 25. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -993*g**3 - 14201*g**2 - 933487581*g.\nAnswer: -5958*g - 28402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -2, 3, -4, 0.2 in increasing order.\nAnswer: -4, -2, 0.14, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3525.29 - 0.355\nAnswer: -3525.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let i = -4 + 4. Is i greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29216 is divided by 103.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*t**2 + 1)*(74 + 26*t**2 - 74) + (-5*t**2 - 11*t**2 + 15*t**2 + 4*t)*(-3*t + 3*t + 2*t**2).\nAnswer: 76*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*c - 35*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 701700 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*m - 2*m + 6 - 11.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11 - 2\/11*m**4 + 0*m + 4\/11*m**2 + 0*m**3.\nAnswer: -2*(m - 1)**2*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58054715*5.\nAnswer: 290273575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 516323.535 rounded to the nearest ten?\nAnswer: 516320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/(7\/(-14))*242\/484\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -913834.\nAnswer: 1\/913834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.3, 12, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 + 152. Solve -15*y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26140.\nAnswer: 2, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14*(-2 + (4 - 1)) and 8 + (-6 + 20 - 6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 + (-14)\/35. Suppose -2*o + 9*o + 21 = 0. Sort o, -9, x in descending order.\nAnswer: x, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4164*m**3 + 5*m**2 - 3?\nAnswer: -24984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 - 91784559*n + 168101193.\nAnswer: -2*n - 91784559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9048261?\nAnswer: 3, 29, 104003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1105, 2228, 3339, 4432, 5501, 6540, 7543?\n\"Answer: -w**3 + 1130*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -c - 3, -2*q = -8. Put 5, c, 37 in decreasing order.\nAnswer: 37, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 30*c**2 + 26*c - 192. What are the prime factors of p(-19)?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4233\/5 - -847. What is the second smallest value in s, -112, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.9 - 4.9. Let j = -1632 - -1632.2. Let z = -0.3 - 1.7. Which is the third smallest value? (a) w (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*l - 19*l + 2717 = -105*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*z + 265*z - 14460 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2\/2 + 6*o - 1. Suppose 955 = 3*t + 982, 0 = -5*h + 4*t - 9. Give g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1741*t**2 - 3041 + 1739*t**2 - 3478*t**2 to the form s*t + p + g*t**2 and give p.\nAnswer: -3041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9750*k + 10433*k - 20185*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = y + 30, -2*y = -3*n + 4 + 21. Suppose -6*w + 594 = n*w. What are the prime factors of 5112\/w - 2\/(-6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123592914 less than 237846?\nAnswer: -123355068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8 + 309*s - 3 + 1.\nAnswer: 309*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**4 + 124*k**2 - 2*k**6 - 43*k**3 - 20*k**4 + 84*k**3 - 41*k**3 wrt k?\nAnswer: -240*k**3 - 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1020201?\nAnswer: -1020203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.814 + 0.79. Let q = r + -2.076. Let s = 2.4 + q. Round s to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 20. Calculate the remainder when n(-12) is divided by (-7)\/(-42)*7*18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ba7b + -191?\nAnswer: 8b8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 46094*d + 32111128\/3.\nAnswer: 2*(d + 233)*(d + 68908)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/18 + (-6)\/(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16855 + 72.40145. Let g = o + -72. Let n = 0.570158 - g. What is n rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 - 8*c**3\/3 - 11*c**2\/2 + 9*c + 30. What is o(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -577, -1780, -3801, -6640, -10297?\n\"Answer: -409*s**2 + 24*s - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/449, 3\/4 in ascending order.\nAnswer: 2\/449, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -589, -4851, -16411, -38881, -75873, -130999?\nAnswer: -207871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) + (-4)\/8. Let v be (-2)\/(-5) + 46\/10. Suppose -s = 5, 2*q - 3*s = -2*s - 5. Put v, t, q in ascending order.\nAnswer: q, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, 272, 1380, 2932?\nAnswer: 4928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 98*m**2 - 14*m - 1. Let a(g) = -15*g**2 - g - 2. Let q(f) = -6*a(f) - r(f). Calculate q(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 196346, 196283, 196186, 196061, 195914?\n\"Answer: y**3 - 23*y**2 - y + 196369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a + a + 3)*(-6 + 1 + 3).\nAnswer: -4*a - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1117*p**2 - 94*p + 961. Is r(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.656 (c) 489 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1910? (a) -2 (b) -4 (c) -0.4426 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*t*w**3 - l*w - 111*t*w**3 - 34*t wrt w.\nAnswer: -6*l*t*w - 666*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*u + 45, -3*u + 1391 = 1346 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.419, 3, 0.1, -5 in increasing order.\nAnswer: -5, 0.1, 1.419, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000658594 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105350532 - -1?\nAnswer: -105350531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 8. Let v be 20\/(-30) - d\/3. What is the units digit of (-1 - v) + 120\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -857 (base 12) to base 5.\nAnswer: -14334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2. Suppose 5*j - 663 = r, -3*j + r = -3*r - 391. Let v(s) = -384 - 384 + j*s**2 + 768. Calculate m(v(u)).\nAnswer: -53067*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -o + 4*o. Let l be (-7)\/o + 4 + -4. Let x = -23\/6 + l. Which is the biggest value? (a) x (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/5 + 2*r**5\/5 - 7*r**4\/6 - 4*r**3\/3 + 4*r**2 - 86*r. Find x such that w(x) = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -97 - -4?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029499 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -233219?\nAnswer: 233216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 - (-26 + 15). Let g(d) = d - 10. Let o be g(w). Suppose -6*x + 2*x + 324 = -2*j, x + o*j - 71 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 355 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 3:23 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.85085 to two decimal places.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177 and 851252.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from wklwwdddlududkd.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -26 - (-2 + (-90)\/(-7)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68)*-2 + -5 - (sqrt(204) + 6*(sqrt(204)*-2 - sqrt(204) - sqrt(204)))\/(sqrt(12) + sqrt(768) + 1*sqrt(768)))**2.\nAnswer: 630*sqrt(17)\/17 + 2858\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 6443233?\nAnswer: -6443233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 2*o**2 - 3*o**2)*(-4*o + 4*o + 3*o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1687*i + 107. What are the prime factors of n(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -799 - -801. Let f(d) = -d**3 - 6*d**2 - 6*d - 3. What is the smallest common multiple of k and f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 25 = -5*a, -32*z + 29*z - 13 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, -1, 4\/7, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*k**4 + 189*k**4 - 48 + 336 + (k**2 + k - k)*(0*k**2 + 0*k**2 + 2*k**2) in the form z*k**2 + t*k + v*k**4 + r + a*k**3 and give r.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604912 - 63*w**3 + 1604912.\nAnswer: -63*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 142*0.2\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -531, -1036, -1543, -2052, -2563, -3076, -3591?\n\"Answer: -h**2 - 502*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8794.42465 + 119.81195. Let u = g + 8682.8. Let s = u + -8.2. What is s rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Solve -5*q + 22 = k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8) + (-10)\/(-24))*-12. Suppose -2*r - 2*r = -f*i + 32, i = -3*r - 4. Solve b - i*l = 0, 0*l - 3*l = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4 + (-45600)\/(-64). Suppose -18*w = -225 - v. Calculate the greatest common divisor of 676 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 128 and 128 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t**3 + 19*t**3 - 35*t**3 + 2*t**2 + 2*t as i*t**3 + h + s*t**2 + l*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10026 divided by 7216.\nAnswer: 5013\/3608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 4568265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i + 3 = 0, -2*j + 2*i - 6*i = -4. Suppose -3*t - 77*d + 79*d + 4129 = j, -3*t - 4*d + 4153 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) -5 (b) 40 (c) 5 (d) -2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/21 and -139\/437118.\nAnswer: 3059826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11930.3, -4\/7, 4\/3, -0.3 in descending order.\nAnswer: 4\/3, -0.3, -4\/7, -11930.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 18. Let j be w(13). Suppose -j*a + 10 = -13*a. Let s(b) = -b + 3. Let k be s(a). Solve k*c - h = -6*h - 30, 0 = -4*c + h - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 170?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66911697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyyssyyss. Give prob of picking 2 s and 2 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 13*y + 235. Let p be i(-23). Solve -2*o = -3*o - j - 2, p*o - 30 = 5*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/15, -60, 1\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -210\/13 (b) 0.3 (c) 13 (d) 6 (e) -0.1 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 12.6. Let f = o + -1.36. Let h = -1.75 + f. Round h to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o**2. Let h be (1 - (-26)\/(-20))*40\/(-72). Let v(i) be the second derivative of 0 + 0*i**2 + 24*i - h*i**3. Determine c(v(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147492067 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189833483?\nAnswer: 7, 27119069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*w - 15 = 0, -5*h - 34*w = -37*w + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 3*g - 14*w - 232, -2*g - 4*w + 48 = 0 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/112)\/((-125)\/40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 + 6*x + 4. Let p(y) = y**2 - 1. Let f(w) = 4*w - 38. Let d be f(17). Suppose 3*j = -0*j + d. Let k(c) = j*p(c) - 2*a(c). Factor k(h).\nAnswer: -2*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 5*w = -25, -25 = -4*c - 5*w. Let s = 11 - c. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 113. Let s = b + 76. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 39950*l**3 + 79800125*l**2 = 0. What is l?\nAnswer: -3995, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 42303?\nAnswer: -10998.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-28 - -35 - (15 - 0)) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:27 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*x = -1348 + 169 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t + t - 2*t. Let j(q) = 16*q - 396. Let i(m) = -m + 27. Let s(b) = 44*i(b) + 3*j(b). Give s(v(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 64. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/5)\/(7\/(-315)). Suppose b = 4*u + j, 0*u - 3*j - 56 = -2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a + 62*a - 11*a + 0 + 0 - 2*a + a - 5*a + 5*a - 7*a + 2*a + 3*a + (0 + 3 - 1)*(-4 + 4 + 2*a) - 4*a + 3*a + 3*a.\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.2, 117\/8449?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let m = i + 0.8. Let d = m + -0.8. Which is the smallest value? (a) d (b) 0.1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + 22001111012?\nAnswer: 22001110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 8, -51615 - 40190 = -3*f + 5*n. What are the prime factors of f?\nAnswer: 5, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 3. Let w be b(-4). Let a be -10*(-2 - w\/2). Suppose z - a = -2*l, 3*l - z - 24 = -2*z. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*9)\/(21\/14). Find b, given that 3*b**5 + j*b**3 - 4*b**2 + b**2 - 3*b**3 - 9*b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*z = 69, -2*z - 25 = l - 0*z. Let r be (-2 + l\/(-15))*5. Let h = -519 - -517. Put 4, r, h, -1 in increasing order.\nAnswer: r, h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728 divided by 12619.\nAnswer: -1728\/12619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1474 - 4 = 21*l. What is the smallest common multiple of l and 49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648589.9 - 648581.999587. Let u = o + -7.9. What is u rounded to 5 dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-542)\/(-8) + 25\/20. Suppose -12*d + z - 9 = 0. Suppose -d*x = 5*t - t + 60, -t = -4*x + 36. Are -19 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30585c (base 14) to base 3\nAnswer: 10001202100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 552 - 331. Solve 5*d - 2*k - x = 0, -d + 5*d - 11 = -k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007309 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 r when four letters picked without replacement from {k: 6, m: 1, l: 2, b: 4, r: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 296*v**2 - 47 + 24 in the form l*v + q*v**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/51 - 4812624\/(-136) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2130 + -2142. Sort 2\/7, -1\/12, f in increasing order.\nAnswer: f, -1\/12, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from {x: 1, g: 5, u: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 574017.66 rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let s(v) = 2*v - 3*v**2 + 4 - 3*v + j*v**2. Give s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23392217 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/75, -37, 2?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05566 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227503*b**2 + 3 - 451*b - 227523*b**2 - 3 + 451*b.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 331.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3286 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 24098.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*l - 999 = 376*l - 186*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.04, 3, 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 3, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*m - 232*m - 3*z = -53, -m - 5 = -2*z. What is the greatest common divisor of 22183 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-39)\/6)\/((-3)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*b + 33 = -4*t, 0 = -5*t + 4*b - 40. List the prime factors of (-202)\/(-4) - t\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411842051.\nAnswer: 3, 23, 6820493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*j**5*m**2 - 4*j**5 + j**3*m - 32*j**2*m + 3*j*m**2 wrt j.\nAnswer: 900*j**2*m**2 - 240*j**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from {z: 1, i: 3, v: 2, n: 3, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-1)*r)*r)**(4\/3)\/(r**(-2\/5)\/r)**(3\/29))**23 assuming r is positive.\nAnswer: r**(14789\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 40*g**4 + 11042*g**3 + 861470*g**2 + 13344256*g + 13074432 = 0?\nAnswer: -128, -19, -21\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/55 and -61\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3492, -1, -76?\nAnswer: -3492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**4 - 1004*o**3 + 1007*o**2 - 10*o - 4. Let p(v) = 8*v**4 + 3014*v**3 - 3022*v**2 + 35*v + 14. Let g(t) = 2*p(t) + 7*y(t). Factor g(r).\nAnswer: -5*r**2*(r - 1)*(r + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 157.\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**2\/2 + 1. Let k be y(2). Suppose 3*u - 35 = -k*u. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14676 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -69*(-5)\/(-15)*-3. Let c = 73 - u. What is the tens digit of (4446\/95)\/(c\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + -0.013. Let t = y + 0.423. What is the closest to 4 in t, -5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -58, -59, -60, -61, -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2771415445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -2*r - 2*r. Let j = r - 155. Solve j = -4*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, e: 3, p: 2, q: 4, r: 1}. What is prob of sequence qce?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8326099 millennia in centuries?\nAnswer: 8.326099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*x - 24, 4*h + 0*x = -4*x - 16. Sort -28, h, 0, 4 in increasing order.\nAnswer: -28, h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*f - 12*f**4 - 2*f**6 - 5*f - f**2 + 17*f wrt f.\nAnswer: -240*f**3 - 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*i + 62. Solve -3*c - 1 + i = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63275\/18 + -3518. Let g = -211545\/26 + 8135. Calculate the common denominator of g and f.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1384, -30, 1 in descending order.\nAnswer: 1384, 1, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = -0. Let w = u + 1. What is the third derivative of -3*t**4 + 5*t**2 + 8*t**w - 2*t**4 wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832)*2 - sqrt(832))) + (sqrt(104) + -2*sqrt(104))\/sqrt(2))\/(((sqrt(64)*1 - sqrt(64))*2 + sqrt(64) + sqrt(64))*-4).\nAnswer: sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 13*r**3 - 2*r + (r - r - r**3)*(3 - 2 - 3) - 3*r**3 - 3*r**3 + 7*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - x = -26, -5*n = -4*x - 49 + 53 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 2*t)*(81*t - 42*t + 57*t - 2*t**2).\nAnswer: 4*t**3 - 192*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85995937 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4833161 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*p**2 - 1 - 4*p + 4*p to the form z + m*p + c*p**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*r**2*s - 4*f*r*s + 3*f*r + 1171*f - 153*r**2*s + 2*r*s + 719*r - 4*s wrt f?\nAnswer: -r**2*s - 4*r*s + 3*r + 1171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 31 = 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 6*n - 29*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17202, 20974, 24746, 28518, 32290, 36062?\n\"Answer: 3772*v + 13430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009758487 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22 + 448\/(-28) + 84. Solve -16*r = 6 + u for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7443\/41402 - -24\/127. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 + 170. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 + 80 - 2073*h**2)*(0*h - h**3 + 0*h) + h**5 - h**4 + h**4.\nAnswer: 2074*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 2 + 1)*(-3 + 7 + 5*u**2 - 5) + (1 + 2 - 2)*(2*u**2 - u**2 - 3*u**2).\nAnswer: 118*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 + y. Let c be 0 + (0 - -1) + -2. Let i be f(c). Let s(q) = 1 - i + 0*q + q. Calculate s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74354 less than 74354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 24 + -7 + -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 41*s - 53. Let a(u) = -u**2 + 21*u + 26. Let l(d) = -11*a(d) - 6*f(d). Does 13 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598123427.\nAnswer: 11, 17, 911, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/65 not equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/23, -8, 0.3, -35 in ascending order.\nAnswer: -35, -8, -33\/23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 t when four letters picked without replacement from addgaddgt.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 22 = -5*r, 2*g + 3*r = 2*r + 6. Calculate the smallest common multiple of 22 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3279, 15098, 35447, 64326, 101735?\n\"Answer: 4265*i**2 - 976*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 86*h - 12*h + (-5*h + 4*h + 2*h)*(1 - 2 - 4))*(7*h - 2*h - h) as q*h**2 + r + f*h and give q.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/6 - 37*f**4\/3 - 239*f**3\/6 + 302*f**2\/3 + 470*f\/3 - 616\/3 = 0. Calculate f.\nAnswer: -4, -2, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -18. Let l(q) = -5*q - 1. Let w be l(-2). Suppose g + 9 = -5*a - g, -4*a - g = w. Sort a, -5, f in increasing order.\nAnswer: f, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4910*z - 88378. Let o be b(18). Let 216*s**3 - 285\/2*s + 6 + 828*s**o = 0. What is s?\nAnswer: -4, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 96*z - 3456.\nAnswer: -2*(z - 72)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:08 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**4 - j**3 + j - 1. Let m(r) = 7*r**4 - 5*r**3 + 14*r - 5. Let q(i) = 5*b(i) - m(i). What is the second derivative of q(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1542.2721 months?\nAnswer: 12.8522675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.85*-45.475\nAnswer: -38.65375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 2. Let a be u(-5). Suppose 0 = -3*b - 2 + a. Suppose w - 4*m = -b*w + 325, 5*m = 25. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**4 - 66*i + 68*i + 4*i**2 + 8*i**4 - 2*i**3 - 3*i**2.\nAnswer: -i*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1448892858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x*x**(-6))\/((x*(x\/x**(3\/13))\/x*x)\/(x*x*x*x**(1\/12))) assuming x is positive.\nAnswer: x**(-313\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160126 is divided by 288.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 217. What is a(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/4 - 2. Let x = 0.32 + 0.88. Sort x, d, 3 in decreasing order.\nAnswer: 3, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 41650*y - 86736125.\nAnswer: -5*(y - 4165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -420313223 (base 5) to base 7\nAnswer: -20461236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/5 + 3152*x**2\/5 + 1080826*x\/5 - 6053476 = 0.\nAnswer: -1045, -557, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/63568 and -129\/4640.\nAnswer: 635680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 13. Let k be (-2 - (-28)\/10)\/(n\/(-1590)). What is k rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 times -85\nAnswer: -484.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 - 51*m**2 - 41*m - 37. What is j(-16)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 - 5 = 0. Is p less than or equal to -2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*a - 4, 2*i - 4*a + 2 = -i. Let v be -7 - (-228 + 6)\/3. Suppose -27*r + 283 - v = 0. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-11)\/(11\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 12. Let h = i + 6. Suppose -44 = -4*j - z, 0*j + 4*j + 3*z = 52. What is the remainder when h is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 20*m + 80. Determine p(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*x - 9*x + 90*x)*(-2 + 3 + 1)*((0 - 5 + 2)*(2 + 3 + 2) - 4 + 0 + 2 + (4 - 1 - 5)*(4 - 3 + 0) - 2 + 6 - 2) to m*x + f and give m.\nAnswer: -3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 134, -41, -488, -1297, -2558, -4361?\nAnswer: -6796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*g - 240. Which is smaller: -94\/3 or g?\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 2 + 3 - 3*f**2 - 8 in the form c + d*f + g*f**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423 + 93. Let p = 516.000000548 - w. Round p to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449780 divided by 4?\nAnswer: 1612445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -696, 4?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-1)\/6) + -3. Suppose -4*w = -r*b + 5 + 14, -3*w + 2 = b. What is the remainder when 85 is divided by -1*w\/3*87?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 42. Suppose -3*p - 3*q + c = -6*q, -5*q = 4*p - 1. Solve v - 2 = -i, -i = p*v + 1 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25146851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -24*s**4\/7 - 220028148*s**3\/7 - 990126342*s**2\/7 - 1485189351*s\/7 - 742594635\/7 = 0.\nAnswer: -9167835, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -14260975?\nAnswer: -14260975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbhb when four letters picked without replacement from {g: 1, b: 2, j: 1, e: 1, q: 1, h: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.242 - -0.158. Let n = 3.1 + -3. Which is the nearest to n? (a) -3 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59659 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5826270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -23) + (-127 - -159).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 8.35 (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61790898 divided by -6?\nAnswer: -10298483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 11) to base 4\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48478 to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from rrrrwwrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 141457612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - s + 1)*(1241 + 839 - 3056) in the form t + w*s and give t.\nAnswer: -2928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 35. Solve 5*h = 3*y - 5 + 13, 4*h + 3*y - 1 = i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(15\/2)))**(6\/11) assuming n is positive.\nAnswer: n**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 383*g**9\/168 - 779*g**5\/60 + 3*g**2 + 19*g. Find the third derivative of c(h) wrt h.\nAnswer: 137880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 10409906.\nAnswer: -3\/10409906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 309 + a7?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let l(d) = 6153619*d. What is l(p(v))?\nAnswer: 6153619*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4 - 23) + (2 - 2). Let r be b\/(-3) - 16\/4. Solve r*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -5 - -5 - -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 66. Let p(y) = -37. Let t(q) = d(q) + 2*p(q). What is t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i - 137. Let v be r(0). Let q = v - -141. Solve -q*k = n - 21, 6 = -4*n + 2*k - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037 is divided by 509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6832, -6833, -6834, -6835, -6836?\nAnswer: -6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-115)\/(-2)*142\/355.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -144, -3, -91 in descending order.\nAnswer: 6, -3, -91, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**3 + 137*b**2 + 474*b**2 - 611*b**2.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c + 7*c - 7*c + (15 - 1 + 7)*(-2 - c + 2) + 5*c - 4*c + 5*c + (4*c - 3*c - 2*c)*(4 - 2 - 1).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -38*m - 43. Let z(u) = -114*u - 129. Let o(g) = 11*q(g) - 4*z(g). What is the derivative of o(l) wrt l?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 115*b - 23. Let z(f) = -19*f + 4. Let r be 8127\/(-351) - (-4)\/26. Let q(h) = r*z(h) - 4*j(h). Let w(s) = s**2. Give q(w(k)).\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*b + 108, 2*b - 5*f - 48 + 18 = 0. Is 5\/b - 687\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 5*n - 4*n - 2*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t - 3. Let z(f) = f**3 - f**2 - 5*f - 8. Let s(p) = p**2 + p + 1. Let i(b) = t*z(b) + 5*s(b). List the prime factors of i(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*z + 3130*b**2 + 2*b*z + 114*b - 106346*z - 20 wrt b.\nAnswer: 4*b*z + 6260*b + 2*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 - -115. Let j(k) = -k**2 + 7*k - 7. Let y be j(7). Let g be (-2)\/y - 310\/350. What is the third biggest value in v, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4 + 11 = 0, 4*d = 5*g + 2531. Let z = -452 - d. What is z rounded to the nearest ten?\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/21 + 2\/(-7). Suppose y + y = 0. Let h = o - y. Does -1\/6 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**6\/24 - h**4\/6 - 6*h**2. Find the second derivative of f(j) wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161685456 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(225\/81 + -3). Let a(q) = q**2 + 2*q - 4. Calculate a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z*z*z*z*z**0\/z*z)\/z)\/z)\/z*z*z)**(-24\/11)*(z**(1\/3)*z)**(1\/5)*(z\/z**(-6)*z*z*z*z*z*z**(-1\/9))**(-14\/13) assuming z is positive.\nAnswer: z**(-150874\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.62 in 5, -0.31, -0.4?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5477554253 take away 0.03?\nAnswer: -5477554253.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 - (-9 + -3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Solve 4*x - 10 = -2*h, -x - 2*h = y*h + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.75292 + -5.78492238. Let j = -0.032 - g. What is j rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -3 + -15 - 19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52494 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 937378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 92?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/14)\/((-6)\/(-4)). Suppose 4*p - o = -13. Let m be (2\/p)\/((-4)\/12). Solve m*k = 1 + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.4 - 1.4. Let d = -86.7 + 90.666. Let f = j - d. What is f rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1550496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 5, -30, -1 in decreasing order.\nAnswer: 10, 5, 4, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 2 - 2*d**2 + 2*d**3 - 3 to l*d**3 + a*d + k + s*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2574 or -1\/330?\nAnswer: 0.2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105476471 at most 105476474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 8179*s**2\/2 + 114114*s.\nAnswer: s*(s - 8151)*(s - 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/167 (c) -65 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 + 1250616880*h - 78202129027046720 = 0.\nAnswer: 125061688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from xxxxxxxxmxmxxxmx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Suppose -s*q + 52 = -54. Suppose -q = -5*g + 5*j - 8, 0 = -2*g - 3*j + 18. Calculate the smallest common multiple of g and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*l**4 + 14*l**4 - 7*l**5 + 14*l**4 + (-3*l + 0*l + 5*l)*(l**4 - 4*l**4 + l**4) + 2*l**5 - 2*l**5 - 2*l**5.\nAnswer: -13*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soorrxsrorssrss. What is prob of picking 1 x and 3 o?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3381 is divided by 561?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 9 - 2)*(0*o + 4*o + 2*o) to y + n*o and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -14, -34, -64, -104?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1427 - -1318.3. Let q = d + 117. Let b = 9 - q. Are b and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -7. Let l(f) = f**2 - 9*f + 2. Let s be l(9). What is the closest to s in i, -0.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12536 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: Solve -8 = -4*p + 4*v, -21*p - 2*v + 81 = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13 (b) 12\/73 (c) -2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-5 + (-1 - (-3 + -1 + 2))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 1151420*f**2 + 2302834*f + 1151416.\nAnswer: 2*(f + 1)**2*(f + 575708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42265 or 42141?\nAnswer: 42265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1305*f - 9*f**3 - 2613*f - 5*f**3 + 1308*f.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + f + 0)*(-2 - 2 + 3) + (-3 + 0 + 2)*(-12*f - 4 + 4) to g + r*f and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1860)\/(-216) - 4\/(-18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50242, -1, -5, 4 in descending order.\nAnswer: 50242, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from yyxgyycxzpgyzxyxzzxg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -21*o**2 + 15. Let u(x) = 1 + 1 + 0 - 3*x**2. Let b be 30*((-126)\/12 + 6 - -5). What is b*u(g) - 2*l(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/157 - -153\/314. Let w = -6.4 + 6.64. Which is the second smallest value? (a) 2\/5 (b) w (c) -1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 9. Let v be a(-14). Suppose 0*q - v*q - 2*t + 451 = 0, -5*t = 3*q - 263. List the prime factors of q.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -28.13. Let h = 1.87 + o. Let u = 6 - h. What is the second biggest value in u, -8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240694 (base 11) to base 6\nAnswer: 12102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17218.\nAnswer: 2, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 135719915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 544. Let v(h) = 972*h**2. Give t(v(y)).\nAnswer: -972*y**2 + 544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*f + 5*f + 0*f - 1)*(63 - 14 - 14).\nAnswer: 770*f - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/15183 and 149\/378?\nAnswer: 91098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -2*t**6\/15 - 18*t**5\/5 - 32*t**4 - 220*t**3\/3 + 450*t**2 - 6*t + 133. Factor d(v).\nAnswer: -4*(v - 1)*(v + 5)**2*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 1. Let k(x) = 2*x**2 + 23*x - 58. Calculate k(l) + 2*s(l).\nAnswer: 2*l**2 + 35*l - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4266 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83846 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 5. Let a be c(4). Let d = 223 - 217. Solve -2*i = 2*o, -o + a*i = -d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-6))\/((-16)\/(-120)). Which is smaller: c or 21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 8*b**2 + 12*b + 23. Let r = 18722 - 18717. Give q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 - (2 + -6) - 4 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 4*m + 461*m**2 + 2*m - 36*m**3 - 473*m**2 - 2.\nAnswer: -36*m**3 - 12*m**2 - 27*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267826319 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12 - 10\/8) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-69 + 91350\/1323)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(4\/9)))**(-1\/19))**(-18))**(5\/7) assuming s is positive.\nAnswer: s**(-40\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 18 + 14)*(-1 + 1 - 2*n + (3 - 1 - 3)*(-2*n + 0*n + n) - 2*n - n - 2*n + 22 - 9*n - 22) as x + o*n and give o.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 + 46 - 103260\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18243468*d + 9758952.\nAnswer: -18243468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*w, 7*c - 1941 = -2*w - 1860 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 3. Let y = w - 15. Suppose q = -3*d + y, 2*d + d + 2*q - 14 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 3*l**3 + 0*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0563248937 rounded to 6 dps?\nAnswer: -0.056325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a + 31 + 1\/32*a**4 + 3\/8*a**3 + 3\/2*a**2. Let i(y) = 0. Calculate y.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 + 2a3?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24963 - 24962.6. What is the second smallest value in 0.05, a, -1\/3, 1\/2, 356\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-1)\/(-6)*-4. Suppose -w + 17 = 3*m, -c*w + 7*m = 2*m + 10. Suppose -w*r + 1573 = -922. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38827.9 rounded to the nearest one hundred?\nAnswer: -38800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(704) - sqrt(704).\nAnswer: 4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -3 - 5\/2*x**6 + 29*x**2 + 0*x**4 + 2*x + 0*x**3 + 0*x**5. What is the first derivative of z(m) wrt m?\nAnswer: -300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 15, -y - 2*m = 11 - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*n + 991*n - 1899*n.\nAnswer: -199*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 + 3*r + 13. Let b(h) = 11*h**3 - 8*h - 40. Give -6*b(v) - 17*y(v).\nAnswer: 2*v**3 - 3*v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.93 + -0.13. Let w = -0.2 - h. Which is the third smallest value? (a) w (b) 1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9248, 18577, 27906?\n\"Answer: 9329*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 222852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12934073?\nAnswer: 23, 562351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 12. Let q(u) = -1581*u**2 - u + 15. Let s(n) = 2*k(n) - q(n). Find the second derivative of s(m) wrt m.\nAnswer: 3166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6. Let p be (i\/(-4))\/(2\/12). Which is the smallest value? (a) 0 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 31 + 3. Let h be c\/(-10) + (-4 - (-147)\/35). Let y = 12 - 11. Sort y, -4, h, -3.\nAnswer: -4, -3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*q + 72 = -176*q. Calculate the remainder when 89 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -2.323121\nAnswer: -2.523121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1011101000?\nAnswer: -1011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -1, -5, -32 in descending order.\nAnswer: 6, -1, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:24 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) - (1 + sqrt(1900) + 2) - sqrt(1900))) + 2)**2.\nAnswer: 200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496196.\nAnswer: 2, 3, 13, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/10 and -4\/2664655.\nAnswer: 5329310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73936 is divided by 718?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 + 3 + 47*z**2 as q*z**2 + w*z + b and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37434064.\nAnswer: 2, 23, 101723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23165*d = -22798*d + 11744 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 4656752?\nAnswer: 4656752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8727 - 6143811\/704. Let f = 3395\/704 + j. What is the common denominator of 33\/25 and f?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -245910 and 5.\nAnswer: -245905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:09 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*z = 3*z + 14, -4*i + z + 19 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 450125279 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1450 + -940. Let m = 746 + -211. Suppose -m = -5*x + 2*v, -4*x - x - 3*v + d = 0. Calculate the remainder when x is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -4.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -976323414 divided by -6?\nAnswer: 162720569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-648)\/156 - -4) - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - c + 8, 0 = -4*g - 5*c + 30 + 1. Let s be 444\/g*18\/4. Find the common denominator of (-12)\/(-30) + s\/40 and 49\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93773223 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/17 - 90060854*p**2\/17 + 1013869812992432*p\/17 - 3041608628429664\/17 = 0.\nAnswer: 3, 22515212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.53 - 7.73. What is the second smallest value in -2, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-12)*(-54)\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 2, i: 1, b: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27826, -28013, -28328, -28765, -29318, -29981, -30748?\nAnswer: -31613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -47. Suppose 9*u - t*u = -6. Suppose -u*p - 15 = p. What is the nearest to 1 in 0.5, p, -0.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*a**2*c*m**2 + 3*a**2*c*m - 2*a**2*c + 120*a**2*m - 4*a*m**2 + 2*a wrt m.\nAnswer: -58*a**2*c - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15760355 + 39.1.\nAnswer: 15760394.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 + 1 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 428345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (567\/(-35))\/9*(-70)\/168. What is the nearest to 1.7 in 0, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 21441.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 538, 3359, 10714, 24871, 48098, 82663, 130834?\n\"Answer: 378*h**3 - h**2 + 178*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - 0.01. Let r = 3.95 - s. Let g = 62 + -62.3. Sort r, 0.3, g in increasing order.\nAnswer: g, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -252, -764, -0.4, 1 in decreasing order.\nAnswer: 1, -0.1, -0.4, -252, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 8. Suppose 0 = 4*r + i - 10. Sort r, 4, -4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 2059156*g**3 + 353371070508*g**2 - 20220243829275868*g + 808244491233965920 = 0. What is g?\nAnswer: 40, 171583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22771.8 - 22773. What is the fifth biggest value in 67\/2, -0.4, -1\/2, i, 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, 22705, -4\/7, 9 in descending order.\nAnswer: 22705, 9, -4\/7, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 - 1368*n**2 + 90654*n - 175820 = 0. Calculate n.\nAnswer: -745, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 24 = 7*v. What is the smallest common multiple of 58 and v?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/5 + 116*w**2\/5 - 1792*w\/5 + 3136\/5 = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337 - 337.1. Let r = 361 - 363.3. What is the second biggest value in s, 5\/3, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 4*k**2 - k - 2. Let f be y(4). Let x(i) = 6*i - 1. Let t(z) = -7*z + 1. Give f*x(a) - 5*t(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 22*i**4 - 24 + (-i + i + i**2)*(0*i**2 - 4*i**2 + 2*i**2) to the form n*i**3 + r*i**4 + d*i**2 + v + o*i and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 207\/(-18). Let b = -7 + l. Suppose -3*v + 45 = 5*d + 2*v, 2*d - b*v = 4. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 26*b + 16. Let s be x(-4). Let p be 957\/12 + (-3)\/4. Let a = p + s. Round a to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 8*h**2 + 16. Let f be o(8). Solve 4*g = 8*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 29227097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(161 + 123 - 174)*(3*p + 3 - 2 - 5*p) as x*p + v and give v.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*k = 3*h + 8, 5 = h - 4*k. Is 0 - 3*h\/9*3259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 94, 4 in decreasing order.\nAnswer: 94, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 5*y - 384. Suppose 0 = 5*o + 5*x - 235, -o - y = -4*o - 5*x. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -35.57. Let x = -0.07 + b. Let a = 3.09 + -0.09. Sort 2, x, a.\nAnswer: x, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**3 + v**2 - 2*v + 1. Let d(x) = 4*x + 11*x**2 - 1 - 12*x**2 - 1. Let n be d(3). Determine g(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, b: 2, g: 1, k: 3, y: 1, s: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 4283298694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/13)*(m*m\/(m**15*m)*m)\/m*m*((m**4\/m)\/m)**30 assuming m is positive.\nAnswer: m**(613\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -6315, 1\/3, 19, 3 in decreasing order.\nAnswer: 19, 3, 1\/3, -2\/15, -6315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7*z = -21*z + 58. Solve 4 = 2*c, r + c = -z + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**6\/6 - 9*d**5\/5 - 29*d**4\/4 - 13*d**3 - 9*d**2 - 66. Factor a(j).\nAnswer: -j*(j + 1)*(j + 2)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + j = 5*y - 20, 2*y - j + 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -243090*-3\nAnswer: 729270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6007222?\nAnswer: 2, 13, 17, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1668120, 1668024, 1667862, 1667634, 1667340, 1666980, 1666554?\n\"Answer: -33*x**2 + 3*x + 1668150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.464343 - -3403.525343. Let f = b + -3400.3609982. Let m = f + 0.3. Round m to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Is 10 a factor of (22\/(-3))\/(v\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3826.99994738 - -3827. Round o to six decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-3))**(3\/31)\/((t\/(t**9*t))\/(t*t**(-1\/15))))**40)**(-39) assuming t is positive.\nAnswer: t**(-499096\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Let g(h) = -h**2 + 4*h - 1. Let v be g(2). Suppose -97 = -5*z + v. Solve -t = -o*t + z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 9*z**2 - z - 5. Let c be b(-9). Suppose 0 = 5*q - 4*s - 4 + 23, 5*s - 17 = c*q. Let v be q\/(-2)*(-4)\/(-3). Solve 4 = -v*x + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a - 5. Let p(v) be the third derivative of -v**5\/60 + v**4\/24 + 2*v**3\/3 - 29*v**2. Give -5*n(u) - 6*p(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + 0) - (1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 7*t + 1. Let w be g(-7). Let r(i) = -2*i**3 - 10*i**2 + 2. Let o be r(-5). Let l(z) = 10*z**o + 1 - w - 13*z**2 + 2*z - 2. What is l(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = z + 6, -3 = -2*i - 1. Let r be 116\/(-96) + 40\/30. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61954391 divided by -1674443\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 3*z + 115 + 129 - 463 + 111.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -2.8. Let j = 1 + g. Let s = j + 6. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*z + 1309*z - 222*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6000 and 55569200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/6*(1\/2)\/(13\/52)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/80 and -9\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5325340 divided by -5.\nAnswer: -1065068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2258 (c) -11627\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.595678um?\nAnswer: 0.000000000595678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**5\/60 - h**4\/6 - h**3\/6 - h**2 + 48. Let z(x) be the second derivative of t(x). What is z(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 673308 (base 9) to base 2\nAnswer: 1100010010011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -978 divided by 88972\nAnswer: -489\/44486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(39))\/sqrt(3) + 4 - (sqrt(117)*-3 - -4*(sqrt(208))**2).\nAnswer: -828 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2153 + -156?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.3. Suppose -17 = -6*r + 13. Put r, 3, u in decreasing order.\nAnswer: r, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 5. Suppose -2*m - 16 = -4*h, 4*h + m - k = -4*m. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2 + 5. Let u(c) = 3*c**2 - 2. Let o(m) = -2*l(m) - 5*u(m). Let v(n) be the first derivative of n**2\/2 - 12. Determine v(o(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 3. Let l be z(-3). Suppose -13*n + l*n + 60 = 0. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/39 + -2 + 206000\/(-1872). Let q = -109 - r. Find d, given that q*d**3 + 8\/9*d**2 + 2\/9*d + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2625, -2728, -2899, -3138?\nAnswer: -3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 671.2023 decades?\nAnswer: 80544.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16515392833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077416699 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 9*k - 8. Let y be w(2). Suppose -9*n - y*n + 1353 = 0. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b - 3*y = 0, 2*b + 3*y = 0. Suppose b = -5*q - 2*p - 6, -2*q + 4*p + p + 15 = 0. Find g, given that -1\/2*g + 1\/2*g**2 + q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*((-1*sqrt(95)*-2 - sqrt(95))\/((-1*sqrt(30))\/sqrt(6)))**2 + (sqrt(76)\/(sqrt(2)*-1))\/((sqrt(450) - sqrt(18))\/sqrt(9))).\nAnswer: -19 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:14 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(4\/(-18)). Suppose 2*m - 18 = -4*n, 6 = -m - j*n + 19. Let p be 0\/((1\/(-2))\/(m\/(-2))). Solve g + g = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128284 divided by -4\nAnswer: -32071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10175972?\nAnswer: 2, 577, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 96?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m**5 - 4*m**4 - 4*m**3 + m**2 + 4. Let i(j) = j**5 + j**4 + j**3 - 1. Let g(n) = -4*i(n) - o(n). Find the third derivative of g(u) wrt u.\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1496 + -790. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12548 - -150721\/12. What is the common denominator of 91\/2 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23312020 - 302?\nAnswer: -23312322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(84) + -1*sqrt(84)) + (sqrt(84)*2 + sqrt(84) - sqrt(84))*3)\/(sqrt(480)\/sqrt(10)*-3) + -5)*-4)**2.\nAnswer: 160*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6731 + -6548. Calculate the remainder when 2010 is divided by u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4 + y - 4. Let s(j) be the first derivative of j**5\/30 - j**2 - 3. Let g(m) be the second derivative of s(m). Give g(h(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24662, 31985, 39308, 46631, 53954, 61277?\n\"Answer: 7323*i + 17339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/5 - 8134*s\/5 - 4568324\/5 = 0.\nAnswer: -3394, -673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/11 + 24*b**2\/11 - 32*b\/11.\nAnswer: -2*b*(b - 2)**2*(b + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 344 = 260. Suppose 15*l - 8 = 17*l. Let k(v) = 7 - 7*v + 0*v - v**2 - 6 + 6*v. Let q(x) = 6*x**2 + 7*x - 7. What is g*k(u) + l*q(u)?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10725045 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (7 - 5) - 2)\/(-1). Which is smaller: p or 12\/109?\nAnswer: 12\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112\/9, 5, 5185, -2\/9, 1.3 in descending order.\nAnswer: 5185, 112\/9, 5, 1.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 2469?\nAnswer: 27159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -7516, -2, 1.052?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13*i. Let w(x) be the second derivative of 85*x**4\/4 - 173*x. Determine r(w(h)).\nAnswer: 3315*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/426*(-3)\/(-3).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 442940\nAnswer: 44294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 0, a + 3*i = -0 + 2. Suppose -29 = -5*s + 3*o, s + 0 = -3*o - 5. Let y be 34\/s - (-6)\/(-4). Solve y*q = a*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2346317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324050 by -10.\nAnswer: 32405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 36. Suppose -4*h = -20 - d. What is the remainder when 29 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfoo when four letters picked without replacement from floffoolfdv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -614?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 3*f**2 + 2*f + 2. Suppose -s - 2*m = -18, -3*m - 20 = -2*s + m. Calculate the remainder when h(4) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 3\/4, 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 94 - 54. Suppose 11*o + 315 = -y*i + 15*o, o = 0. Which is smaller: -57 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 142698*f - 5279835. Give g(37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7)*j)\/(j\/(j**(-2\/3)*j))*j**(-1\/6)*j**7)**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 + 618*k + 3595. Determine m(-62).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 10. Let i = -5 + 10. Suppose i*x - 5 = c*x + n, -3*x = 5*n - 29. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1209, -5283, -12191, -21921, -34461, -49799, -67923?\nAnswer: -88821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + s**2 + 4*s + 1242. Let n be 0\/(7\/((-14)\/(-4))). What are the prime factors of a(n)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252059667?\nAnswer: 3, 31, 397, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-12) - (-2)\/(-8). Let v be (-80)\/(-35) + t + 23\/(-7). Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a (base 11) in base 12?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 - -3. Let d = 22 - 20. Put r, d, -5 in ascending order.\nAnswer: -5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1982*k + 148601. Calculate z(-75).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -14 - (0 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 2 + 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.13. Let u = 3.9 + l. Let j = -9 - -12. What is the closest to 0.1 in u, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69c437c + e?\nAnswer: 69c438a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9507*d**5 + 8113*d**3 - 579817585*d?\nAnswer: -190140*d**3 + 48678*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 5 + -3)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*l**3 + 37*l**3 - 73*l**3)*(-2*l**2 + 5*l**2 - 4*l**2).\nAnswer: -62*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 - 9*w + 9. Let j be i(-7). Suppose -j + 80 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)\/t*t*((t\/t**1)\/t)\/t)\/(t*t**8*t*(t**(-2\/17)*t)\/t*t))**(2\/13) assuming t is positive.\nAnswer: t**(-4010\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*h - 4 = 0, -4*t = 2176*h - 2171*h + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 10. Suppose 0 = -3*x - f + 6, -10*x + 5*f - 10 = -5*x. Which is the nearest to x? (a) 1\/8 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -v + 40, 17*v = 4*f + 19*v - 38 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 6. Suppose 4*d = y*d + 4. Suppose d*v = -h + 7, 2 = v + 3*h + 1. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005\/25 + (4 - 84\/20) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13174.513339 to one dp.\nAnswer: -13174.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 17 (b) -0.35 (c) 9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.04428 - 2.031. Round r to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, 1, -20 in ascending order.\nAnswer: -20, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -72, -129, -220, -357?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/6 (b) -1\/2 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**3*x**2 + 62640*w**3*x*y + 885*w**2*x*y + 2*w**2*y - 2*w*x**2*y + x**2*y wrt w.\nAnswer: 18*x**2 + 375840*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/(-95) - 19\/(-5). Suppose -2*m - k*v - 9 = 0, -3*v - 21 = m - 3*m. Solve 3*w + 5*z = 13, -2 = -5*w - 5*z + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15624 and 30504?\nAnswer: 640584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 198455 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a**2 + 0*a**2 + a**2)*(4*a**3 - 5*a**3 + 2*a**3) - 21*a**2 + 8*a**5 + 21*a**2 + 0*a**5 + 0*a**5 + 5*a**5 + 12*a**5 - a**5 + 0*a**5)*(-4 + 0 + 2).\nAnswer: -46*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5588564.234 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 + 120*b**3 - 7145*b**2 + 7020*b = 0.\nAnswer: -52, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 225 = 0. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = l. Suppose 0 = 5*r + 19 + 6. Let g = r - -23. Calculate the highest common divisor of g and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6984\/(-1940) - 4\/10. Let l = -245 + 1718\/7. Sort -5, -1\/2, l, u.\nAnswer: -5, u, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)\/(-3 + 1). Suppose h*x - 2*x = 28. Let t(q) = 15*q - 16. Let u be t(1). Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 4 + 3*o + 3.\nAnswer: 3*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67.6 + 79. Let u = 11.39774 - a. What is u rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056648150 to the power of 1\/2, to the nearest integer?\nAnswer: 32506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*h - 362 + 5422 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2, 4, 1\/2, -1\/99?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 105 - 105.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211422331 to the nearest integer?\nAnswer: 14540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 8:28 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 40 - ((-36 - 19) + -57).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 441476 or 441461?\nAnswer: 441476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 77.3 (b) 2 (c) 279.1 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*h - 41, -2*h + r - 43 = -64 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353639281*i**2 + 707278564*i**2 - 353639281*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212645 is divided by 394.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 12, 2, 4 in ascending order.\nAnswer: -7, -2, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 6*q**2 + 3*q - 8. Let s(c) = -c**3 + c + 2. Let m(t) = 4*s(t) + v(t). Suppose m(a) = 0. What is a?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118401.363 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0937015 millimeters?\nAnswer: 0.00937015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4237 divide 450812563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/(-46)*(-2)\/22. Let w = 3 + -3.2. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 11*w + 4. Suppose -3*o + 1 - 27 = -r, -5*r = -5*o - 80. Let v be i(r). Let k = v - -11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -29. Let b = t + -12. Solve -3*h - 1 + 7 = b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Suppose 0 = 2*q - p*q. Let d(r) = -2*r**2 + r + 1. Let b be d(2). Put -3, q, b in descending order.\nAnswer: q, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/42*(-270)\/(-72)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, j: 12, x: 3}. Give prob of sequence jjjj.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 6*a - 6*a + 5*a to z + p*a and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 11. Suppose -4 - 84 = -p*v. What is the remainder when 65 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 5. Let g be m(5). Suppose -h + 3 = h - 5*r, g = -2*r + 2. Solve 4*l - 5*l - h = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 = -2*d, -3*d - 3*l + 24 - 6 = 0. Suppose 5*g - 30 = 5*u + 30, 4*g = d*u + 50. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.2, 0.3, 31, -1\/3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714399 to the power of 1\/2, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 6*u. Is i(2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + 0*k)*(-42*k + 268 - 268).\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3428?\nAnswer: 3\/3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j + 116*j - 45*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozoooikzoki. What is prob of picking 1 i and 1 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 231749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 28*d**2 - 146*d + 1918. Calculate x(-34).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1)\/(1\/49). Suppose -2*v - c = 3. Is v\/(-7) + 22\/77 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -28328.\nAnswer: 424920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/3696 - (-9)\/(-33))*(-182)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)\/y*y**(-1\/5))\/(y**(-2\/9)*((((y\/y**(-3))\/y)\/y)\/y)\/y))\/((y*y**(-1\/4)\/y*y**(1\/7)\/y)\/(y**(-2\/7)\/y**(4\/7))) assuming y is positive.\nAnswer: y**(-203\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5 - 3*d + 0*d + 4*d + 0*d. Let o be n(7). Find the third derivative of -12*k**5 + 11*k**5 - 8*k**o + 0*k**5 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - a + 3*a. Let v(p) be the second derivative of -p**4\/12 + 4*p. Calculate y(v(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 112.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*t = -32, -7*f + 3*t = -4*f + 30. Sort f, 8\/5, -1\/4, 6, 0.5.\nAnswer: f, -1\/4, 0.5, 8\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5\/4, 0.31581.\nAnswer: 0.31581, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8749961*z. Let l(k) = 100*k. What is o(l(f))?\nAnswer: 874996100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -8 + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1\/5) + (-7348)\/(-9185). Suppose 0 + k*u**3 + 0*u + 1\/5*u**5 + 4\/5*u**2 + u**4 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -5*m**8\/1344 + 5*m**7\/168 - m**6\/32 - 17*m**5\/48 + 35*m**4\/24 - 5*m**3\/2 - 1445*m**2. Determine j so that t(j) = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5351 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-6))\/(-40)*(-15)\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16741748 + -16741779.999977. Let d = -0.11 + 32.11. Let w = d + z. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27825 or 5759920\/207?\nAnswer: 27825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17433 or -17784?\nAnswer: -17784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3\/2 (b) 3 (c) 0.3 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {y: 2, i: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o - 12*o - 31 + 31. Let b(p) = p. Determine b(r(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose 4 = w + m, -4*w + m + 2*m + j = 0. Solve -w*y = 5 - 1, -5*y = -z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j**(-5)*j)\/j)**(22\/3)\/(j**12)**(2\/13) assuming j is positive.\nAnswer: j**(-310\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/39107 + -34297224\/3011239. Let r = j + 81\/7. Let o be (-3)\/(-9) + (-4)\/(-6). Which is the second smallest value? (a) r (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -7 + 13. Solve -2 = -x - k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (14 + 8) - -16 - -22\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/168 + 5\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19*f**3 + 3*f**3 + 4*f**3)*(3*f + f + 0*f) + 3*f**4 + 0*f**4 - 14*f**4)*(f - 2*f - 3*f).\nAnswer: 236*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -9\/5*q - 81\/10*q**4 + 81\/25*q**5 - 39\/5*q**2 - 72\/5*q**3 - 2. What is w in n(w) = 0?\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21*j**2 - 4. Let l(d) = -2*d + 15. Let n(w) = 5. Let u(g) = -5*l(g) + 15*n(g). What is u(y(r))?\nAnswer: 210*r**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-75)*-1*(2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1507 + -0.1107. Sort -5, 4, k in descending order.\nAnswer: 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a**4 + 39*a**3 + 19*a**2 + 9*a + 7. Let z(o) = -o**4 - o**3 + 22*o**2 - o + 1. Let y(t) = -h(t) + 3*z(t). Factor y(f).\nAnswer: (f - 2)*(f - 1)**2*(11*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -1 - 5 - (56\/6 - -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 34*c - 18. What is f(27)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1129*b**3*i**3 - 2*b**3*i**2 + 4*b*i**3 - 1917*b*i**2 wrt b.\nAnswer: -6774*b*i**3 - 12*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 26. Calculate p(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3, -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -380 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -163*d + 160*d + 12. Suppose -d*z - 18 = -10*z. Suppose 161 + 157 = z*v. Calculate the remainder when v is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**3*z + 10*i**3 + 4*i*z + 59*z + 1 wrt i.\nAnswer: -9*i**2*z + 30*i**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q + 1653 - 287 = -640 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130927426 to 6 dps.\nAnswer: -0.001309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + d7?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j + 77. What is a(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d*d)\/d*d**(-2\/3))\/(d**0)**31*((d*d**(-1\/3))\/(d\/d**(-1\/4)))**(-3\/29) assuming d is positive.\nAnswer: d**(-211\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12734561.14 and -0.206.\nAnswer: -12734561.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4*0)\/1. Let u be 3 - (-3)\/((-9)\/6). Let x be ((-2)\/1 - -2) + u. Which is greater: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (490\/3)\/((-3)\/(-72)*8). What is the highest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77492291.\nAnswer: 941, 82351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)*g**(2\/5))\/((g\/(g\/((g*(g*g**(2\/19))\/g)\/g)))\/g**(-8)) assuming g is positive.\nAnswer: g**(-4487\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let s(v) = 2*v - 173. Let t(h) be the second derivative of -h**3\/6 + 43*h**2 + 25*h + 1. Let i(q) = 6*s(q) + 11*t(q). What is i(p(o))?\nAnswer: -o**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 1, h: 1, o: 1, l: 1}. What is prob of sequence cl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 65*v + 7. Let i(r) = -r + 2. Give b(d) - 4*i(d).\nAnswer: 69*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 - -2 - (3 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.31 (b) -3 (c) 2\/5 (d) 3 (e) -1\/11 (f) 4 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + -13 - (-1 - 2). Let g = 49 - 44. Solve -2 = -z, 0*l = -g*l - 4*z + o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 333*m**8\/112 + m**6\/60 + 2939*m**4\/8 + 4464*m**2. Find the second derivative of r(b) wrt b.\nAnswer: 19980*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven tenths of a millisecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-11))\/((-672)\/1848). What is the biggest value in a, 4, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -98 and 25.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 9. List the prime factors of w(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = 35*p + 5*f + 34, 24 = 3*p - 2*f - f for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**2 - 4*p + 21. Let t(u) = -4*u**2 - 2*u + 10. Let q(l) = 3*f(l) - 7*t(l). Let r be q(-5). Solve 10*i - 10 = r*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 234064584 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(0 + sqrt(80)) + 3*sqrt(80)*2)*-6)**2*3.\nAnswer: 864000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.04 - 0.04. Let a = u + -21. Let g = 11 - a. Is g greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from oyyyyyoyyoyyyy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856267 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 1483436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9590000 rounded to the nearest one hundred thousand?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = -2*c. Let t be -1 - 174\/(-8) - (-30)\/(-40). Find the common denominator of 242\/t + 3 + c and -19\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, z: 5, f: 1, t: 2}. Give prob of picking 1 f and 1 t.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 5 + -2 + 1 - -1) + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 48853500 to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(45)\/sqrt(144) + -5 + ((2*sqrt(80)*2 + sqrt(80))*1)**2.\nAnswer: sqrt(5)\/4 + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (0 + (sqrt(75) + 1 + sqrt(75) - sqrt(75)))*-4 + (-1*((-1 + sqrt(75) - sqrt(75)) + sqrt(75)) - (-5 + sqrt(75) + 2)))**2.\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:41 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:00 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -116, 331, 778, 1225, 1672, 2119?\n\"Answer: 447*d - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1 + 3 - 3. Let q(d) = 8*d + 7. Let f(n) = 6*j(n) - q(n). What is the derivative of f(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -991 not equal to 19507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*s = 131, -2*v + 162 = 2*s - 68. Calculate the greatest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 + 107*m**2\/3.\nAnswer: -m**2*(m - 214)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let y = 0.3 + -0.6. Which is the nearest to -2\/3? (a) y (b) 4\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/2)\/h)\/(h**3*h))**(-19) assuming h is positive.\nAnswer: h**(133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -315 + 317. What is the nearest to 1 in 0.3, 20, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200475 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/7 - 136\/(-28). Let z be 66\/14 + (-2)\/(-7). Let n be (1 + -1)*x\/z. Solve 5*b = -4*v + 11, -5*b = -n*b - 4*v + 21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7577*m**4 - 3457.\nAnswer: -30308*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1012*s**3 + 22*s + 249752?\nAnswer: 3036*s**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9923506, -19847016, -29770526, -39694036, -49617546?\nAnswer: -59541056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9311823\/10 - 933394. Let o = 3213 - 1005. Let t = o + s. Find the common denominator of 93\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**3 - 53*m**2 + 19*m**2 - 6 + 8*m - 2 + 20*m**2. Let t(s) = -5*s**3 - 5*s**2 + 3*s - 3. Give 8*t(b) - 3*z(b).\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c0b + -27?\nAnswer: 1bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16 + 32 + 6 - 21*z - 8 + z**2. Does 5 divide g(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d)\/d)**(-22)*(d*d*d**11)\/(d**4*d) assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((3584\/(-14))\/16)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8207205 rounded to four dps?\nAnswer: 0.8207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 2 + 1\/4*r**4 + 0*r**3 + 0*r**2 - 3*r. Suppose -3*i + i = 0. Determine a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15342 + -13401?\nAnswer: -33143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 1 + 0 + 0*b)*(0*b**2 + b**2 + 2*b**2).\nAnswer: 6*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4368, 4360, 4356, 4356?\nAnswer: 4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1746, 12617, 41960, 98961, 192806?\nAnswer: 332681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1025, 4106, 9239, 16424, 25661, 36950, 50291?\nAnswer: 65684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.7 + 8. Let v = -337\/2760 - 1\/345. What is the biggest value in v, 2\/5, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(16) + 4*-1*sqrt(17) + -4 + -3 + (sqrt(102)\/sqrt(6))**2.\nAnswer: -7*sqrt(17)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 1 d when three letters picked without replacement from cpbaacpdaacpap?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 + -142. Let j = -156 + 87. Let v = l - j. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 41*o - 48657. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a**2. Let o(r) = 2*r + r + 24 - 24. Determine o(n(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-5)\/10)\/((-3)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(242) + (sqrt(242) - (1 + sqrt(242) + sqrt(242))))*-2 + 2))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315015019.\nAnswer: 11, 28637729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:45 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10 + 5. Let w = 7 - h. Suppose -4*i = -w*m + 16, -5*m + m = -5*i - 12. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -18\/990475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 0, 2*y = m + 3*y - 7. Suppose -4*i = -2*x - 2*i - 24, -i + 5 = 0. Let v = m + x. Solve v*g - 3*g - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 324051 (base 7) to base 12\nAnswer: 28933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-6)\/(-3) + -1. Let m be -3*((-6)\/9)\/l. Suppose -15 = -3*u - g, m*u + 3*g = 3*u + 5. Solve 0*t = -4*t - u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6387 and -0.14.\nAnswer: -0.369418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 761076, 761078, 761080?\n\"Answer: 2*m + 761074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 1. Suppose 5*x - 3*x = 0. Suppose x = -q - 0 + 2. Let n be u(q). Solve 3*r - 4*z = -2*z - n, -3*r + 5*z = 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 - 2*u - 10. Let b be g(-8). Suppose b = v + v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (132432\/32 - -17)\/((-2)\/(-8))?\nAnswer: 2, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = l + l + 12, 2*u = -2*l + 4. Let v be l*(-3)\/2 - 0. Sort 0, -8, 4, v in decreasing order.\nAnswer: 4, v, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 - 64 - (10 + (-9 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -483 in 0.81, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -221+33274747.401\nAnswer: 33274526.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 38 = 2*b, 0*b - b + 5 = 5*s. Let n = -15 - b. Suppose 4*x - 42 - 42 = n. What is the highest common divisor of x and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 7*q**2 - 15*q - 2. Let j be u(-2). Suppose 23*o = -j*o + 3844. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 9.\nAnswer: -14, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*n + 34, h - 3*n - 4 = 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*w**2*x**4 - 2*w**2*x + 46*w*x**2 - w*x wrt x?\nAnswer: 6768*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16*q**3 - q**2 - 4*q + 4. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 213 - -2?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1323 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-5 + sqrt(144))\/sqrt(12) + -4*3*sqrt(12))\/(-3*-2*sqrt(144) - -3*-3*sqrt(144)).\nAnswer: 8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18850424683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 31345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8*l - 24 = 0. Suppose 0 = l*r - 16118 - 8899. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -160. Let t(c) = -s*c - 9*c + 2*c + 5*c + 4. Calculate t(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(6\/17)*r)\/r)\/(r\/(r\/r**(4\/15))) assuming r is positive.\nAnswer: r**(22\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40290 and 1122?\nAnswer: 443190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4545263 (base 9) to base 10.\nAnswer: -2451117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 3*g**3 + 3*g**3)*(g - 5*g - 3*g) - 6*g**4 - 23*g**4 + 2*g**4 + 4*g**4 - g**4 - 2*g**4.\nAnswer: -19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 1. Let n(a) = -7*a + 5. Let d(v) = -6*h(v) - 2*n(v). Let f(x) = 3*x - 5. Give 6*d(l) - 5*f(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -0.04819.\nAnswer: 0.95181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 685, 1125, 1563, 1999, 2433, 2865, 3295?\n\"Answer: -q**2 + 443*q + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-6))\/(-15)*-15*(-300)\/(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1332, 1624, 1916, 2208, 2500?\nAnswer: 2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*j + 53*j - 20. Let h = 4 - 4.06. Let u = 0.1 + -0.1. Sort h, u, j in increasing order.\nAnswer: j, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4630432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 6*r**4 + 3657*r**3 + 9117*r**2 + 7287*r + 1821 = 0.\nAnswer: -607, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10410, -20812, -31214, -41616?\nAnswer: -52018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 2, 166\/5, -17 in increasing order.\nAnswer: -17, -0.9, 2, 166\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.86*4\nAnswer: 7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.466 less than 6924972.36?\nAnswer: 6924995.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*a - 8 = -a, 18 = -5*v - 3*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*10\/(-15)*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3408 + 3408 - 101*l + (-2 + 4 - 3)*(l - 1 + 1) + 0*l + l + l.\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h**0*h)**(-33)*h**6\/(h\/h**(4\/15)))**(-6\/35))**19 assuming h is positive.\nAnswer: h**(72238\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -461*p**3 - 8*p**2 + p + 7. Calculate the remainder when r(-1) is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/((-4)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 60862*s - 33 = -60861*s, 0 = -2*y + 2*s + 34 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 711, -2, 5 in increasing order.\nAnswer: -2, 5, 24, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137868 or -7.3?\nAnswer: -137868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 1, u: 2, n: 4}. What is prob of sequence cen?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/13122 and 61\/405?\nAnswer: 65610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 207, -134 in ascending order.\nAnswer: -134, 63, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2946.\nAnswer: 23568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:46 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344078*a**2 - 520*a**3 + 344078*a**2.\nAnswer: -520*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.1. Let i = -11 - -10.85. Let g = i - -0.05. What is the second biggest value in g, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**5 - 1464*j**4 - 87468*j**3 - 564488*j**2 - 1254864*j - 928224 = 0.\nAnswer: -293, -66, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 50*b**3 - b**2 - 45*b - 1. Let m(y) = -52*y**3 + y**2 + 44*y. Let k(p) = 2*h(p) + 3*m(p). Find the second derivative of k(l) wrt l.\nAnswer: -336*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e5292 (base 16) in base 13?\nAnswer: 823a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13819, 110706, 373675, 885766, 1730019, 2989474, 4747171, 7086150?\nAnswer: 10089451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) -1\/5 (b) 14 (c) 39 (d) -2\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eegm when four letters picked without replacement from mtetgemgtgttttett.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14949288995 rounded to the nearest 1000000?\nAnswer: -14949000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152209852 and 172516.\nAnswer: 10148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from gdjghh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 406 and 319?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/z**(-13)))\/z*z)*z)\/(z**(-13)*z) assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 47. Let q = v + -38. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 15 = 4*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556327718?\nAnswer: 2, 3, 11, 7860241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/(-2)*(-2401)\/343?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.2 + -3. Let j = y - 19.1. Which is the second smallest value? (a) -2 (b) 1 (c) j (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**2 + 2. Let s be w(2). What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**3 - 4*v**3. Let c(b) be the first derivative of -11*b**4\/4 + 63. Give 3*c(r) - 5*w(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076185027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5\/3))**(-2\/11) assuming k is positive.\nAnswer: k**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43811*c + 43767*c = -845680. Is c a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -23074*z - 507. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6745481*g**3 - 2074861*g**2?\nAnswer: 40472886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5133634346 to the nearest integer?\nAnswer: 71649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 62. Let p be (-1*(-8)\/(-28))\/(f\/(-7)). Let m(i) = -3 + 0*i**p + 8*i - 1 - i**2 - 3*i. Calculate m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 229 - 401 + 195 + 192 + 185.\nAnswer: -2*p**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:42 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/3664 and 41\/2144814.\nAnswer: 17158512","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from jmmyyzyzvbyj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4762, 9546, 14330?\n\"Answer: 4784*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.028 in -6, -57, -5, 8, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 6. Let k(y) = 7*y**2 - y + 1. Let g be 1\/(0 + 0 + 1). Let q be k(g). Let m = -11 + q. Give o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28498 greater than or equal to -28513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 - 6*z + 2. Determine d(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.227 + 0.057. Let k = 3.83 - x. Which is the third biggest value? (a) k (b) 2 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 8*n - 52 + 0*n + 8*n.\nAnswer: -n**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 157*a**2 - 3798*a + 13153. Give p(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-40)*-4*9\/108?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*l**3 - 9*l**2 + 1411*l.\nAnswer: 72*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -40, -53, -78, -121?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(2\/9)\/(n*n**(-1\/8)*n\/(n*(n\/(n*n**(-3)*n)*n)\/n)) assuming n is positive.\nAnswer: n**(113\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*n**2*y - 58002688*n - 131444836*y wrt n?\nAnswer: 16*n*y - 58002688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 0.5 (c) -3 (d) -3.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 2 - 2) + -6 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 12, 5*o + 127*b - 132*b - 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404 - -4334320?\nAnswer: 4333411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 97. Calculate the remainder when c is divided by 6\/(4*(-1)\/(-24)*4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 13 + 13)*(7 + 9*y - 7).\nAnswer: 153*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 137*r - 1161. Determine z(15).\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 19*g - 43. Determine h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -28848 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r - 34*r + 16*r = 34*r + 1530 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-5\/6)))\/j)\/(j*j\/j**12*j))**(1\/3)*j**(2\/3)*j**(-9)\/j*(j**(-1\/2))**(-21\/4) assuming j is positive.\nAnswer: j**(-271\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -367855.270211 - -367896.57. Let h = 41.3 - d. Round h to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 51 = 147. Let h(y) = -8*y - 16. Let x be h(-7). Let p be 1\/3 + x\/f. Solve p*n - 5 + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1676363 - -0.2390541. Let u = -1.9067 + l. Let k = u + -1.5. What is k rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 + 2509*f - 2506*f.\nAnswer: 3*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -i. Suppose 191 = i*n + 183. What is the remainder when 52*(n\/16 + 9\/12) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 2. Let c be 1\/(-4) - (4 + (-14)\/(-8)). Give d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 take away -215?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 0*k**2 + 3*k**2. Let b(y) = 15*y**2. Determine i(b(r)).\nAnswer: 450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 58. Let f = o + 65. Let g be 1240\/(-48) - -26 - 130\/(-12). Solve -g = -4*i - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 10917373.076\nAnswer: 10917373.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 39*w + 180. Suppose -2*p + 0*p = -4*q + 208, w*p - 52 = -q. Calculate the greatest common divisor of 442 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c - 14. Let o(j) = -j - 1. Calculate -l(i) + 8*o(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Suppose -7*r = -u*r - 8. What is the third derivative of r*x**2 + x**2 - 7*x**3 - 5*x**3 + 7*x**3 wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - u - 60 = 0. Solve -2*x + u = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.281605373 rounded to 2 decimal places?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83507?\nAnswer: 113, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 11. Let h(l) be the first derivative of -4*l - 2\/3*l**3 + 0*l**2 + 1. Let y = -6 + 10. Give y*n(j) - 11*h(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 k when four letters picked without replacement from kkkx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10041 is divided by 1509?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/10436 and -127\/36.\nAnswer: 93924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4\/(-16)*-6 - 1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -10, 4, -0.325?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 1950 = 0. Is 1 + d\/(1 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*y - 6 = -s, 5*y = -3*s + 9. List the prime factors of (s\/3 - 0)*(-285)\/(-1).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9914 is divided by 658.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 52 = -12*c. Let q = 126 - c. What is the remainder when q is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10. Let l be -2*u\/(16\/6). Suppose -2*q = -l*f - 12, -52 = -3*q - 5*f + f. Calculate the greatest common factor of q and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a minute?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-45) + 0)*(-4 - -1). Put -1, -4.8, a in decreasing order.\nAnswer: a, -1, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 + 89 = 15*b - 901. What is the remainder when 1612 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126068851*l**2*n + 352060881*n wrt l.\nAnswer: 252137702*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-1280)\/(-1520))\/(-8)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 144 + 352. Suppose 5*r - y = -47. Solve n + 5 = -s, -n - 17 = -r*s + 4*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19004588 divided by -4\nAnswer: 4751147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 14*f - 8. Let m be ((-2)\/(1 + -3))\/((-28)\/f). What is the closest to 1 in -4, -30, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = 4*k, l - 9 = 4*k + 5. Let v be (-1)\/(-2)*(-18 + l). Let n(g) = -2*g - 7. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19327, -19334, -19323, -19276, -19175, -19002, -18739?\n\"Answer: 3*c**3 - 9*c**2 - c - 19320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - m**2 - m - 4. Determine v(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {j: 1, y: 1, e: 3, d: 10, i: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238548, 478702, 718856, 959010?\nAnswer: 1199164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -955, -1900, -2845?\n\"Answer: -945*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 1, g: 5, y: 4}. What is prob of picking 2 y?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2\/309 (c) -11 (d) -2\/9 (e) 1.6 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 45*a - 203. Let j be p(5). Let g(q) = -q**2 + 6*q + 5. Let c be g(7). Let o = j + c. Calculate the greatest common factor of 50 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (175\/14)\/(3\/120*5). Calculate the highest common divisor of m and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 15*l + 2*l**2 + 8*l**2 - 2305*l**3 + 29*l - 12*l.\nAnswer: -2305*l**3 + 10*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -42, 4 in ascending order.\nAnswer: -42, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from fyyzwffyfyfyffff.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5*14\/(-14) + 36\/105. Factor -4\/7*h**2 + j*h - 4\/7.\nAnswer: -4*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.09903\nAnswer: 0.019806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 346*r**2 + 4 - 9*r - 2 - 349*r**2 + 6*r. Suppose 0 = d + d + 6. Determine j(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -283341, -566691, -850055, -1133439, -1416849?\n\"Answer: -v**3 - v**2 - 283340*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/3 (b) 141 (c) 3\/8 (d) -0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - u - 22 = 0, 4*u + 7 = 3*i + 8*u. Suppose 0 = 4*o + 3*c + 3, -o = -3*o - 5*c - i. Solve 16 = 4*j - 5*a, o*j + 3*j - 12 = -3*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 6743*r**2 - 431*r + 6751*r**2 + 431*r - r**4 to the form x*r**4 + b*r**2 + n + h*r + y*r**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:56 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i. Let c(h) = -h - 1. Give -2*c(s) - j(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 - -149. What is the second biggest value in -3, -17, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:17 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 19 + 11 + (-25 - -109).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(700))**2 + sqrt(700) + ((-2*sqrt(700)*4 - sqrt(700)) + sqrt(700))**2 - 2*(sqrt(700) + -2 + -5)**2*-3.\nAnswer: -830*sqrt(7) + 55594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p. Let l(a) = -29*a. Calculate r(l(d)).\nAnswer: -319*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320378 (base 12) to base 2.\nAnswer: -11000000100000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.5 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y + 310 + 4*y - 245 - y + 0*y**5 + y**2 + 18*y**5 wrt y?\nAnswer: 360*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 11543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13*g**2 - 934*g + 149. What is s(-72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/60 - h**4\/4 - 3*h**3\/2 - 10*h**2 + 3*h. Let q(u) be the first derivative of i(u). Factor q(x).\nAnswer: -(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 149304?\nAnswer: 447912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.94 + -3.24. Let h = 2 + o. Put 3, h, -1\/20, -0.1 in decreasing order.\nAnswer: 3, -1\/20, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/12 + 3\/(-4). Let c = 0 + w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8, 5*b + 77 = -4*v - 62. Let u = b + 40. Which is greater: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v - v - v)*(-2 - 3 + 4) - v - 2*v + 0*v)*(-22*v**2 - 53*v**2 + 22*v**2).\nAnswer: 106*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 - 4*h**3 - 2 + h**3 + 2*h**3 + 699*h + h**2 - 700*h to a*h**2 + w*h + y*h**3 + v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let r be ((-195)\/6)\/(q\/(-4)). Suppose -10 = 5*f, 3*f + r = 5*u - 2*f. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.5 - -30.3. Let o = 3.06 - -0.34. Let q = g - o. What is the third biggest value in q, -1, -0.1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/6)\/(203\/261)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/81)\/(8\/(-180))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 19*h + 2 + 1743*h**4 - 1741*h**4 - 3*h**2 - 5*h**2 to the form n*h + l + p*h**2 + v*h**4 + u*h**3 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 35*b + 10*b + 105440. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7)*(6870\/6 + -4). Suppose u - 6*a + 8*a = g, 6 = -2*a. What are the prime factors of u?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 11?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 102*g**2 + g + 2*g**3 + 6*g**4 + 0*g**4 + 102*g**2 as t*g + q + y*g**3 + v*g**2 + h*g**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(11\/3)*p*p\/(p\/(p\/(p*(p**(2\/9)*p)\/p))*p)*(p**(-40\/9))**23 assuming p is positive.\nAnswer: p**(-889\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 903942 (base 12) in base 9?\nAnswer: 4202855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 55 = 6*v - 3*v, 0 = -3*c + 4*v + 80. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/3)*k))**(-30)*k**(-1\/3)*k*k*(k\/k**(-9)*k)\/k*(k**(-2\/39)\/k**(-1\/5))**(-17) assuming k is positive.\nAnswer: k**(1244\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.008 + 3.652. Let i = 0.66 - y. Which is the third smallest value? (a) -0.2 (b) 10\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 71367820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a factor of 240834951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 128 = -3*u + 452, -2*c = 2*u - 636. Which is greater: 317 or c?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 5 = o, -4*o + u = 20. Let a(l) = -9*l + 54. Let z be a(o). What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.57. Let q = p - -1.97. Suppose -3*s = 0, 18*s - 13*s + 5 = -5*c. What is the third smallest value in -0.5, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6982 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -17294*b**2. Let f(s) = -670*s**2. Give f(a(m)).\nAnswer: -200385232120*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/2940?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/123 and 1\/312.\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*36\/33. Let a = 3 + -2. Let o = 13 - 13.1. What is the nearest to p in -0.3, a, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1704035877?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 83 = w - 3*j, -72 = 3*w - j. Let f = -23 - w. Solve 0 = -4*d - f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 138, 215, 310, 429, 578, 763?\n\"Answer: g**3 + 58*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*l + 1556 = -10078 - 7237 for l.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -391.742551 rounded to 1 decimal place?\nAnswer: -391.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218959*z - 218961*z + 18 = 3*r, -14*z - 5*r + 158 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/20, -0.1, 0, -3, -23 in increasing order.\nAnswer: -23, -3, -2\/5, -0.1, 0, 1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2. Let r(u) = -5*u + 30. Let v be r(6). Let m(a) be the second derivative of 0*a**2 + 1\/12*a**4 - a + v + 0*a**3. What is i(m(t))?\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -3, -5, -0.3, 1\/209?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 17 = -14*o. Let u = -10 - -16. Let t = 10 - u. What is the closest to -5\/4 in t, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 28 = -27. Let d = 5 + u. What is the second derivative of d + 4*q + q**4 - 16 wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*w + 26200 = 1469, 2*h - 5*w = 16495. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738 (base 11) in base 7?\nAnswer: 20142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4))**9)**(-2\/37)\/(b**(-2\/5)*((b*b**(8\/3))\/b)\/b*(b**(-1\/4))**(2\/37)) assuming b is positive.\nAnswer: b**(229\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 2*k + 4. Is m(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((4\/14)\/((-19)\/(-133)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w - w)*(-15*w**2 + 39*w - 39*w) - 9*w**4 + 29*w**4 - 11*w**4.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 6:43 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let c(p) be the third derivative of p**4\/24 - 5*p**3\/6 - 11*p**2. Let z(q) = -q + 3. Let x(u) = s*c(u) + 5*z(u). Let m(y) = y**2. Give x(m(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4818124 - 1?\nAnswer: -4818125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 10*o + 60. Let z(h) = -67*h - 25. Is 28 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163732584?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:57 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9295794 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*m - 4410, -2*z - 6*m + 2938 = -3*m. Let d be (1*3)\/((-24)\/z). Let p = 407 + d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 10*d**2 - 3. Let m be h(-9). Let b be (-3)\/(-12) + 45\/m. Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**11)\/(x\/((x*x\/(x*x**(-3\/4)))\/x))*x**(2\/9)*x\/(x**(-1\/32)\/x*x) assuming x is positive.\nAnswer: x**(-2591\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let j(o) be the first derivative of 19*o**2 + o + 42. Calculate s(j(g)).\nAnswer: -1444*g**2 - 76*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652696319 to the power of 1\/3, to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**4 - 64*s**3 + 8*s**2 + 64*s - 20 = 0. What is s?\nAnswer: -1, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 704, 2943, 6676, 11903, 18624, 26839?\n\"Answer: 747*v**2 - 2*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e4 + -5?\nAnswer: -e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 - 15*g**2 - g + 3. Let z(v) = -2*v**3 + 7*v**2 + v - 1. Let m(i) = -3*r(i) - 7*z(i). Let u be m(-2). Let j be (-9)\/(-15) - u\/5. Sort 2, 5, j.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31174 and 211133?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45824321429 - -5?\nAnswer: 45824321434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/2*(-4)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2040360690\/871 - 3716955715465807\/1586713765. Let w = l - -1\/11753. Let p = 1117\/1240 + w. What is the common denominator of p and -101\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/56213 and -38\/469?\nAnswer: 393491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*j**4 - 56 + 2*j**3 - j**2 + 16*j**4 + 14*j**4 + 12*j**4 - 25*j to the form o*j**2 + y + g*j**4 + u*j**3 + l*j and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**6 + 10*f**3 + 883*f**2 wrt f?\nAnswer: -960*f**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(((sqrt(108) - (sqrt(108)*2 - sqrt(108)))*6 - (4 + sqrt(108)*-1)) + -1)*4)**2.\nAnswer: -61440*sqrt(3) + 136192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 222 and -0.351.\nAnswer: -77.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.315 less than -16794.684?\nAnswer: -16810.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h - 752026 = -752596 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006917108 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h**3\/9 + 394*h**2 - 232854*h + 2613. Factor a(d).\nAnswer: -2*(d - 591)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2. Let q be 1 + (46 - -1) - (2 + 0). Let f(j) = 22*j - q*j + 16*j. Determine t(f(s)).\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 620498 by -9.\nAnswer: -620498\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -7c71?\nAnswer: -7c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 83, -5, 6 in decreasing order.\nAnswer: 83, 6, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -384, -778, -1170, -1560, -1948, -2334?\n\"Answer: m**2 - 397*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 3:38 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 144*x - 135. Calculate the remainder when 313 is divided by k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162803?\nAnswer: 71, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let t be o(-4). Let g = -6 - t. Is 6 a factor of (46\/(-4))\/(1\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -51*o**2 + 20*o - 5. Let z(m) = -34*m**2 + 13*m - 3. Give 5*g(i) - 8*z(i).\nAnswer: 17*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2\/9, 437, -0.3, 1\/42, -5, -8?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 676*p**2 + 79758*p - 1188. Give q(-118).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**3\/6 + 2*s**2 - 4*s. Let l(d) = 2*d. Determine l(u(j)).\nAnswer: -2*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30103100 + -2?\nAnswer: 30103032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23709536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.081 + 0.119. What is the closest to 1\/3 in -2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -889429635 rounded to the nearest 100000?\nAnswer: -889400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = b - 14, -6*b + 7*b + 4 = d. Let q(y) = 42*y - 247. Let s be q(d). Calculate the greatest common factor of 85 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 19*h**2 - 151*h + 21. Let f = -39739 + 39764. Determine o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235394.\nAnswer: 2, 37, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5\/4))\/(y*y*y\/y**(-5)*y))\/((((y\/(y*y*y**(2\/5)))\/y)\/y)\/(y*y**(-2\/19))) assuming y is positive.\nAnswer: y**(-1883\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2\/2 + 61. Let u(i) = -3*i. What is u(n(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -443 + 461. Suppose d + 7 = 2*k, 2*d - 10*k = -5*k - a. Solve 0 = 5*m - 4 - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.164. Round h to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*l**3*y**2 - 17*l**3*y - l*y**5 - 2*l*y - 7 wrt y?\nAnswer: -54*l**3 - 20*l*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1452650 divided by -290530.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**2*w**3 - 3*u**2*w**2 + 12534*u**2*w + 4*u*w**3 + 8*u*w + 247*u wrt u?\nAnswer: 4*w**3 - 6*w**2 + 25068*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 44730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + 193.99369?\nAnswer: 239.99369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-3*1\/(-12)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(2*(3*sqrt(8) + sqrt(8) + sqrt(8))) - ((1 + sqrt(1573))*4)**2.\nAnswer: -25184 - 3519*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-1\/14))\/((a*a**(-16)\/a)\/a*a)*a\/(a\/(a*a\/a**7))*a*a**(-5\/4) assuming a is positive.\nAnswer: a**(359\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 1, g: 1, r: 1, j: 2, p: 1}. Give prob of sequence epg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416106.\nAnswer: 2, 3, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 1099*z + 47444. What is i(-50)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/6)\/(h**26\/h))**(4\/33))**(3\/25))**3 assuming h is positive.\nAnswer: h**(-302\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (19 - 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 - 8079735*s**3 - 2787*s - 3732 wrt s?\nAnswer: 24*s**2 - 48478410*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 12*r**2 - 2*r - 19. Let t be p(-12). Is 9 a factor of 547\/t + (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18589 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0673092 millennia?\nAnswer: 6.73092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/43 + 1841\/172. Calculate the common denominator of s and -83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:36 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10377 and 71\/36.\nAnswer: 41508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -538*d**4\/3 + 10*d**3\/3 + 79*d**2. Let n be f(5). Round n to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7692, -15988, -24284, -32580, -40876, -49172?\nAnswer: -57468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*w**3 + 5003*h**3 - 2*h**2*w**2 + 2519*w**3 wrt w?\nAnswer: 12*h**3 + 15114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5069.85 + -5070. Which is the nearest to 14? (a) -0.2 (b) o (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542021059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2437 and 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441768.8 milligrams to kilograms.\nAnswer: 0.4417688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:39 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 310908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 6. Let s be q(-8). Let j = s - -18. Let z = -32 + j. Solve 3*n - 7*n + z = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20438*y**6 + 58*y**4 + 3*y**3 - y**2 + 234*y - 16215 wrt y?\nAnswer: -2452560*y**3 + 1392*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18423559*a**5 + 807*a**2 + 36*a - 11 wrt a.\nAnswer: -1105413540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-554)\/6 + (-2)\/(-6). Let k = -135 - 14. Let l = c - k. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-6)*g*g*g)*g*g)**(3\/2) assuming g is positive.\nAnswer: g**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 12) in base 15?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1127, -1129, -1131, -1133, -1135, -1137?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-450)\/57 + 16 + (-5)\/(285\/6). Calculate the greatest common factor of 6100 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2695 - 2690. Solve -4*f - x*q = 19, q + 0 = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(-20)*(-6)\/(-7)*2. Suppose -j*q = y - 40, 3*q - 3*y = -8*y + 44. What is the third derivative of -8*m - 2*m**2 - q*m - 7*m**3 - 6 + 21*m wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 74, 73, 72, 71, 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-14) - 22\/7. Let m(k) be the first derivative of 1\/3*k**3 - 2*k + 1\/2*k**2 - 25. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*o - 12 = 0, 4*z - o = 11 + 1. Suppose z*w + b = -2*w + 8, -4*b - 2 = 3*w. Solve -w*m + 6 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222 - 5?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88.2528 - -13.2692. Let p = h - -75. What is p rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:00 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 332*s**2 - 245*s**2 - 3*s**3)*(0*s - 3*s + s).\nAnswer: 4*s**4 - 174*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0.3, -4, -17\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14543306737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399680, -799384, -1199118, -1598888, -1998700, -2398560, -2798474?\nAnswer: -3198448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4791 + 4810 - (0 - (1 + -61))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 - 2. Let j be o(-4). Let i be (-5)\/j*5 - 1\/2. Are i and 1\/143 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021022 + -10202?\nAnswer: 1010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 24181*q - 1. Let g be u(1). Suppose -5*h - g = 4820. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001533822 rounded to 5 dps?\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 525 = 1071. What is the common denominator of 4\/(-6) - h\/(-24) and 29\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 26*p - 5. Let v be n(5). Suppose 6*f + 5 = v. Calculate the highest common factor of 140 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5040 and 25748100.\nAnswer: 102992400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6149\/2 + -3074. Which is the nearest to -6\/13? (a) 1\/7 (b) n (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:21 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1 - (-3)\/(-9)*6. What is the units digit of 107*(6 + u)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5108 by 1277.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 + 3*b**4 - 365 + 3*b**4 + 64*b - 4*b**4 wrt b?\nAnswer: 8*b**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5388386 (base 10) to base 2.\nAnswer: -10100100011100001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 4. Calculate the remainder when m(-6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*h**4 - 262*h**4 + 117*h**4 + (3 - 6 + 0)*(5*h**4 - 2*h**4 - h**4) to l*h**3 + p*h**2 + y*h + n + s*h**4 and give s.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591*b**3 + 1977*b**2.\nAnswer: -3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-4 - -1) + 46\/11. Let d be 1*(-32)\/55 + 0. Let t = d + l. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 11*k**2 + 2*k - 23. Is w(-10) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24930)\/60*2\/3. Let q = -263 - t. Sort -4, q, 2.\nAnswer: -4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52\/5 in 3, -3\/8, 9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r + 107. Let c be n(8). Factor 0*h + 2\/9*h**c - 2\/9*h**2 + 0.\nAnswer: 2*h**2*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18741\/10 + 1871. Find the common denominator of (-2)\/3 + (-101)\/42 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2317 - 6587. Is 47\/(-94) + (-2)\/(8\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/(-64) - 2\/((-40)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42\/19 - -256\/133. Let w(g) = g - 4. Let h be w(4). Is h smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -142*o + 137*o - 14, i - o = -2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2576028?\nAnswer: 2, 3, 7, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = 411*p - 470*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18110 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 81 = 3*s, 4*f + f = 15. Let u(v) be the first derivative of v**3\/3 - v**2\/2 + 94*v + 4. What is the remainder when u(0) is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 - 7*w. Let p(l) = -l**2 - 2*l. Let q = 9 + -13. Suppose 0*b - b - 9 = 0. Let n = 5 - b. What is n*p(x) + q*a(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 3\/5*t**3 - 3\/5*t**2 - 3\/5*t**5 + 0 + 3\/5*t**4 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5854 - 5849.993. Let l = 0.007 - m. What is the second smallest value in 2, 20, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(12)\/sqrt(3)) + sqrt(63))\/sqrt(9).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * 463.\nAnswer: -106.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 64*q - 83*q - 1.\nAnswer: -135*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 1904*z + 1908.\nAnswer: -4*(z - 477)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3616*b**2 + 3*b - 19. Let v(r) = 3619*r**2 - 4*r + 25. Determine 4*l(f) + 3*v(f).\nAnswer: -3607*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i**3 - 2 - 1\/2*i**2 - i + 1\/6*i**4. Let k(n) be the first derivative of d(n). Find the first derivative of k(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {c: 2, u: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 13*a**2 + 4*a - 5. Let j(i) = i**3 - 2*i**2 - i + 1. Let w(d) = 3*j(d) - p(d). Give w(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7\/107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p**2 - 2. Let j(r) = -35*r**2 + 5. Let m be (-30)\/(-11) - 39\/1001*-7. What is m*j(u) + 8*c(u)?\nAnswer: -9*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(216) - sqrt(24)))\/(-2*sqrt(288) + sqrt(8)).\nAnswer: -10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*i - 48, 3*i = 2*q - 0*i - 28. Suppose 35 = 5*z - q. Let m(b) = -4*b. Let f(g) = g. What is z*f(v) + 2*m(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018770305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -1778149?\nAnswer: 1244704.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17)*-2 + -5)**2*-1 + -2).\nAnswer: -190 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*p = m - 28, -p + 23 = 3*m. Solve -m*g = -6*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -3a125?\nAnswer: -3a120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 3}. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 + -266. Is (-1 - s\/(-6))*1228\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 76 + 0 = 0. Let y = -13 + 20. Calculate the remainder when t is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -844 or -820?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -9.03. Let l = q + 14. Which is the third biggest value? (a) 1\/2 (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 + 639 = 9*i. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9145?\nAnswer: 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-4)\/8*2. Calculate the smallest common multiple of 10 and (2\/q)\/((-4)\/(-56)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Let r = -3 - -3.5. What is the closest to 0.1 in r, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:14 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 6. Let y(t) = 2*t + 5. Give -5*c(v) + 6*y(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)\/o)**(1\/38))**(-4\/23)*(o**(-6)\/o*o**(-1))\/((o\/((((o**(-4\/3)\/o)\/o)\/o)\/o))\/(o\/(o*o**0))) assuming o is positive.\nAnswer: o**(-56351\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/831150975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or 3774\/22063?\nAnswer: 3774\/22063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10112676, -10112672, -10112668, -10112664, -10112660, -10112656?\n\"Answer: 4*o - 10112680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let j = 2108\/9 + -234. Which is the closest to i? (a) j (b) -1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04063169956 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1005511307*t**3 + 210668245*t**2 wrt t?\nAnswer: 6033067842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3756\/5 and -43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -2, -14, -30, -50, -74, -102?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*v**2 + 219 with respect to v.\nAnswer: 112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 - 44\/60. Let a = 3170\/13 + -244. What is the closest to c in -2, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.34. Let z = 11 + -11. Which is the third smallest value? (a) l (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from {w: 15, p: 5}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.41642 nanoseconds?\nAnswer: 0.00841642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 + 19*z**3\/3 + 11*z**2 - 2*z + 41. Let w = 13 - -7. Is x(w) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 73*n**2 + 81*n + 9. Let l(k) = 18*k**2 + 20*k + 2. Let z(d) = 9*l(d) - 2*s(d). What is the second derivative of z(o) wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1700) + 4 + 0))**2 + 5 + -1)*-5.\nAnswer: -308900 - 14400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783312246 by -8333109.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-9 - ((-1012)\/(-276))\/(2\/25218)). What is the highest common factor of 252 and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52490 + -5608872.2.\nAnswer: -5556382.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkqqdqzqckdqqk. What is prob of sequence dc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*1)*5 - sqrt(170) - ((sqrt(170) + (-1*sqrt(170) - sqrt(170)))*2 - sqrt(170)))\/((sqrt(70) - 5*-1*sqrt(70))\/(2*sqrt(343))) + 2.\nAnswer: 2 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -339 + 348. Let b(p) = 2*p**2 + 2*p - 8. Calculate the lowest common multiple of g and b(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13649 - 8*c + 0*c - 13649 + 2*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 1, 4, 2.\nAnswer: -1.8, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 + 14\/(-378)*-45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9*l = 3*j + 21, -5*j = -5. Let i = 6 - l. Solve i = 3*g - 3*y + 3, 2*g + 1 = 4*y - 3*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64031790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 477 + -297. Let x = -111 + r. What is the units digit of 6\/((-24)\/(-20)) + -2 + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**3 + 1705*h**2 - 142760*h - 443760 = 0.\nAnswer: -3, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -75797, -0.3, -2\/27, -5 in descending order.\nAnswer: 1\/7, -2\/27, -0.3, -5, -75797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1305*w + 6522 + 4602 = -621 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 n when four letters picked without replacement from naanannnnnn.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2360 and 72.\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*l = -190*l - 180*l + 4*a + 4, a = -3*l - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1988 (b) -0.01 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -174537?\nAnswer: -174536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 16890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 134, 263, 516, 935, 1562?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98324 and 16.\nAnswer: 393296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*t**2 - 381024 - 1512*t = 0 for t.\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*z - 9 = 62*z. Let j = -649 - -647. Sort -4, j, 4, z in decreasing order.\nAnswer: 4, j, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 332 and 1328.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (264\/220)\/(399\/95)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*y = -7*y - 7826, y - 7818 = -5*w. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 4*t - 1. Let v be -5 + -3 - (0 + -3). Let o = 10 + v. What is the units digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6022 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -336?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427880 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 2*q**3 + 2*q**4 + 6*q**3 + 3*q**2 in the form w*q**3 + v*q + l + r*q**4 + c*q**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873\/97 + (26\/12 + -2)*1090\/(-20).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5127?\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 659*c**3 - 310*c**2 + 2.\nAnswer: 3954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 3\/40*t**4 + 1\/600*t**6 - 6*t**2 + 0*t + 0 + 0*t**3 - 1\/50*t**5. Factor y(a).\nAnswer: a*(a - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1901 + 1904. Suppose -4*k = -p - 35, -2*p = k + 4*k - 34. Solve z = -k*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6 + 36 = 0. Calculate the remainder when 53 is divided by (-30)\/18 + 2 + 46\/b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u + 6. Calculate the remainder when b(-6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-182)\/(-9009))\/(6\/22)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 + l**3\/3 + 3*l + 34. Let a be m(0). Sort 5, a, -4, -1 in increasing order.\nAnswer: -4, -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49916241 is divided by 49916221.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-1*sqrt(539) - sqrt(539))*1)**2 - (1 + sqrt(176)*1)).\nAnswer: -4*sqrt(11) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 1. Let f(n) = -7 + 2*n - n**3 - n**2 + 0 + n + q. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1906*23.2.\nAnswer: 44219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/9 - 18\/81. Let f be (-8)\/(-492)*(-1 - -10). Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 885 and 2065?\nAnswer: 6195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 72 = 13*k - 17*k, 4*j - 36 = -5*k. Calculate the smallest common multiple of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*5 + 5*(sqrt(121)*-1 - sqrt(121)) + sqrt(121))\/(sqrt(1331)*-1*6).\nAnswer: 2*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -643 and -23407672.\nAnswer: -23408315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*c**2 + 5 + 2*c - 19*c**2 - 2*c**3 - 23*c**2 as r*c + j + w*c**2 + p*c**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h + 260 = -950 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 600486000 to the power of 1\/2, to the nearest integer?\nAnswer: 24505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0*r**(2\/5))\/(r**(-1\/6)\/(r*r\/(r**3*r))))**(-1\/31))**(4\/19) assuming r is positive.\nAnswer: r**(86\/8835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*(6*(sqrt(1300) - sqrt(1300)*-1*-1) - (sqrt(1300) + (sqrt(1300) - sqrt(1300)*-1) + 3 + sqrt(1300))*6))*-5)**2.\nAnswer: 180000*sqrt(13) + 18725625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.1. Let l = 87 - 89. Let j be 0 - (1 - 4)\/3. What is the closest to l in 0.1, u, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = 72. Let m be (-10)\/r - (-4)\/(-6). Let p = -7 - -6. Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201035913713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25 = -a + 4*a, a - 3*z = 1. Let i(m) = 4*m**2 + 8*m - 1. What is the tens digit of i(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45a50 (base 14) in base 13?\nAnswer: -5c15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91507683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -964 - -1440. Calculate the highest common divisor of o and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 18. Let b = g - 4. Let t be 88\/(-280) - (-6)\/(-21). What is the nearest to b in t, -1\/5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*j + 5772 = 10*j, t - 4*j = -1432. Let g = t - -2186. Let x = -491 + g. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnpwwwwntwpn. Give prob of picking 2 w.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*f + 10 = -68, 0 = r - 3*f - 36. Is 55 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/5 + 8512*k\/5 - 8508\/5.\nAnswer: -4*(k - 2127)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1 + 4 - 9 + 8 + 3*w. Let q(l) = -6*l - 3. Let k = 12 - 15. Give k*q(t) - 5*o(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/13 - 414*l**3\/13 + 216*l**2 - 1576*l\/13 - 4800\/13 = 0?\nAnswer: -1, 2, 6, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20492241.\nAnswer: 3, 7, 11, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 divided by 6.\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 + 4*o**2 + 5*o + 2. Suppose -6*q - 18*q + 25 = -71. Let i(r) = -20*r**3 + 11*r**2 + 14*r + 6. Determine q*i(v) - 11*f(v).\nAnswer: -3*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-3)\/(-27)). Let w(a) = a + 6. Let v be w(b). Is v bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5040 and 75\/1624.\nAnswer: 146160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a**3*n + 39*a**3 - a**2*n + 3*a**2 - 315*n with respect to n.\nAnswer: -8*a**3 - a**2 - 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (30 - (-19 - -2) - -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(1\/49)\/(q\/((q\/(q\/(q\/(q*q**(1\/2)))))\/q)*q**(-1\/11)) assuming q is positive.\nAnswer: q**(-5205\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 4*f**3 - 6*f**2.\nAnswer: 2*f**2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-720)\/(-600))\/(6\/10). Let d(g) be the first derivative of 3\/2*g**2 - z*g**3 - 4 + 0*g. Find the second derivative of d(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o + 16. Let t(h) = -31*h + 19. Let i(y) = 8*y - 5. Let p(k) = -22*i(k) - 6*t(k). Is 12 a factor of p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -750 at least -68244\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 1.1. Let n = -9206 - -9205.7. Which is the nearest to -0.3? (a) n (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8464084g in micrograms?\nAnswer: 846408.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose -5*o + 0*o - 3*u + 41 = f, 0 = -3*o + 3*u + 15. Suppose o*k - 57 = 4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46, 94, 142?\n\"Answer: 48*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57887 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 11*z**4\/12 + z**2 + z - 926. Let o(l) = 8*l**2. Give c(o(t)).\nAnswer: 704*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -4*v - 2\/11*v**3 - 5\/11*v**2 - 18 - 1\/66*v**4. Let h(d) be the first derivative of u(d). Factor h(l).\nAnswer: -2*(l + 1)*(l + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5199401 to the power of 1\/2, to the nearest integer?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1) + (57\/(-21) - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -17, -32, -53, -80, -113, -152?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 100*m**2 - 2462*m - 68. Let z be ((-4)\/3)\/(1\/(-3)). Suppose 5*u + z = 6*u. Calculate the smallest common multiple of u and g(56).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -a6?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9797 and 404.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.028, 5\/3, 2?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + 24\/(-3) + 4035\/1029 and -44.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25166154 (base 7) to base 15.\nAnswer: 2ec310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2}. Give prob of sequence vy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -13*c + 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**6\/15 + 5*z**5\/4 - 6*z**3 - 6693*z**2\/2 - 11619*z. Differentiate d(v) with respect to v.\nAnswer: -8*v**3 + 75*v**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5992880*w**2 + 57420256*w + 2?\nAnswer: -11985760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2294 - 2367. Suppose -5*j + 348 = -32. Let r = j + y. Solve o + r = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1767780?\nAnswer: 7071120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -l, -4*l - 9 = -3*a + 7. Suppose -g - 30 = -3*g. Is g - a*(2 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62*u + 107 - 107 + (5 - 3 + 14)*(2*u + 3 - 3) + u - 5*u + 2*u)*(-1 + 2 + 1) to the form n + l*u and give l.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24253, -24253, -24259, -24271?\nAnswer: -24289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2 + 5*p - 3*p)*(-2*p**3 + 2*p**3 - 3*p**3).\nAnswer: -6*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415 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 y(r) = 59*r**2 - 12*r - 1. Calculate the remainder when y(-1) is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 - 2122032322?\nAnswer: -2122032031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1581694960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1098 + -1092. Put 0.4, b, 0.03, -1\/3 in descending order.\nAnswer: b, 0.4, 0.03, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 511180646 and 511180648 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 69*f + 3. Let w(y) be the second derivative of 23*y**3\/6 + y**2\/2 - 8700*y. Determine -4*h(q) + 11*w(q).\nAnswer: -23*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5 - 14*i**4 - 515*i**3 + 1068*i**2 - 540*i = 0.\nAnswer: -18, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*(y*y**(1\/38))\/y)))\/(y\/(y\/y**21)) assuming y is positive.\nAnswer: y**(-759\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38769*i**3*x**5 + 8*i**3*x + 363*i**3 + 14*i**2*x - 15*x**5 wrt x?\nAnswer: 775380*i**3*x**3 - 300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -32*k**7\/21 + 176*k**6\/15 - 33*k**5\/5 - 34*k**4\/3 - 10*k**3\/3 - 250*k. Let n(m) = 0. Calculate m.\nAnswer: -1\/4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n - 15. Let l = 0 + 1. Let a = n - l. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2350 + -1595. Let g = 134.69 + -816.39. Let j = b + g. Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9187 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 8086 = -7708 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*p + 5*r - 21, 5*p - 2*r + 13 = 0. Sort 0, 4, -13, p, -1.\nAnswer: -13, p, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -4.6. Let u = -4 - -7. Let q = -23\/180 + -1\/180. Which is the nearest to -0.1? (a) u (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + r)*(-1 + 1 - r) - r + r - r**2 + (r - 1 + 1)*(-3 + 2*r + 3) - 9*r + 9*r + 7*r**2 - 24*r**2 + 7*r**2 + 5*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(64 + -60 - (-8)\/((-24)\/81)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 8. Let v(m) = -26 - 21 + 46. Let o(z) = 2*v(z) - y(z). What is o(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -134 - (6 + -44 - 4 - -40).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37415 times -3.1\nAnswer: 115986.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21109 - 2132. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = s - 116, s + 3*s - 236 = 2*f. Let k = f - -130. Factor -39*u**3 - 4*u - 100 + 501*u**2 + 124*u**2 - k*u + 164*u**3.\nAnswer: 5*(u + 5)*(5*u - 2)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/119961 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6839 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 8)*((-6 + 4 + 3)*(k - 3 + 3) + 2*k + 0 + 0).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**3 - 13*b + 13*b - 20*b**3.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose -4*a = -42 + z. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 135, 0, -21, 11, 3, -1 in decreasing order.\nAnswer: 135, 11, 3, 1, 0, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3556, -28377, -95756, -226975, -443316, -766061, -1216492, -1815891?\nAnswer: -2585540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 106, 92, 66, 22, -46, -144?\n\"Answer: -a**3 - 7*a + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + -14a657?\nAnswer: -14a674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 2. Let d = 0 - f. Which is the second smallest value? (a) 4 (b) d (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85\/1564)\/(-2*(18\/(-30))\/(12\/25))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40889720.\nAnswer: 2, 5, 1022243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 314*z - 20188 = 0. Calculate z.\nAnswer: -206, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 12*r. Solve 5*z = -r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 + 0 = 0. Suppose -2*p - 110 = 3*n, -3*p = -2*n + b*n + 65. Calculate the remainder when 29 is divided by (n\/(-12))\/((-2)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/1326*(-8)\/(-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198752736*l**3 + 79252407*l wrt l?\nAnswer: -1192516416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 90.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 6972.\nAnswer: -1\/1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let d(l) = -l - 4. Let t be ((-12)\/(-7 + 4))\/1. Let z be 2 + 3 + -6 + t\/2. Determine z*d(j) + 2*a(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12808 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-6))\/(-8)*23976\/(-222).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 55, -0.02, 3 in decreasing order.\nAnswer: 55, 8, 3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23719*g**3 + g**2 + 146*g - 11.\nAnswer: 142314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12\/233359?\nAnswer: 12\/233359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -377*b - 752. Let i be s(-2). Solve 0 = 5*z - 5, z - i = 4*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + t - t + 0*t. Let h(b) = 2*b**2 + 2*b**2 - 2*b**2. What is h(m(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-384)\/56 + 8)*14\/4. Calculate the common denominator of 49\/64 and (-101)\/(i\/(-9) + (-32128)\/288).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1) + (-7)\/(-3))*(-36)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 h, and 1 j when four letters picked without replacement from jhhjhjcjjjjhcc?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.243869 rounded to two decimal places?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 3*q + 3*q + (q + 3 - 3)*(-203 + 41 - 5).\nAnswer: -165*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 271\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4628 + -4414. Let w be (-14)\/(-4) + (-1)\/2. Suppose -o - 8 = 3*o, 5*g + w*o = d. Calculate the highest common factor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.56*-0.5\nAnswer: 35.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16399 - 16286) + 1 + -145?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*p**5 - 163*p**2 wrt p.\nAnswer: -15000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129999626 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 30*o**3 - 36*o**2 + 30*o + 33.\nAnswer: 3*(o - 11)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + 836*r - 43224. Determine c(210).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -427.738 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 + 0*b**2 + 6*b**2 + (0 + 0 - b)*(-2*b + 0*b - b) + 9 - 2*b**2 - 9 in the form u + t*b**2 + y*b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:21 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/35 and -53\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**4 + 38*g**3 - 53*g**2 + 28*g - 4.\nAnswer: -(g - 2)*(g - 1)**2*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91774.\nAnswer: 2, 45887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107 + 32 - -1) + 37.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**(-1\/2)\/d)\/d)*d*d**(-3\/5)*d**1\/d**(-2\/3))\/((d\/(d*d\/(d**(-2\/3)*d)*d))**(5\/2)\/((d\/(d**2*d))\/(d\/(d\/d**0)))) assuming d is positive.\nAnswer: d**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -42 * -4\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 o when three letters picked without replacement from coccccccccccccccccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2147*d**4 - d**3 - 18*d - 1117308?\nAnswer: -8588*d**3 - 3*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v**2 - 8*v + 76. Let d be n(8). Suppose -d = -4*z - 8. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**7\/30 + 7*x**5\/15 - 97*x**4\/24 + x**3\/6 - 747*x**2. What is the second derivative of s(f) wrt f?\nAnswer: -84*f**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*(2 - 0). Let l(k) = 8*k**3 - 4*k**2 + 5. Let f(s) = 9*s**3 - 5*s**2 + 6. Let o(p) = w*f(p) - 6*l(p). Calculate o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Suppose -n*x + 3311 = 3*x. What is the greatest common divisor of 43 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1391\/(-195) - (-2)\/15. Let h(b) = -6*b + 8. Let y be h(z). Does 6 divide (-20)\/y*(0 - 90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92616)\/(-4080))\/((-10)\/4) - (-9 - 0)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/30 + h**4\/4 + 7*h**3\/6 - 1230*h**2. Calculate o(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:21 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6202948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -461465?\nAnswer: -461501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300*b + 38610 + 6584 = -62*b - 612 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61203524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/11998 and -44\/24853.\nAnswer: 347942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1292\/(-266))\/(-17) - (1 - 93\/(-7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-45)*(-510)\/(-40).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168 + 106. Let a = -157 + c. Does 39 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0306 * -47303\nAnswer: -1447.4718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24585616 and 9.\nAnswer: 221270544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425176343?\nAnswer: 383, 503, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p - 328. Let u be l(-36). Let n(a) = a**2 + 8*a + 12. Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -350*q**3 + 2*q**2 - 3*q - 4. Does 23 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92899 less than 92899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*c + 7*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572, 573, 574?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 0) + -5 - 3) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.3568128 to the nearest integer.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -25421163\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-4 - -7 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1176*z**5 + 2*z**2 + 3096*z wrt z.\nAnswer: 70560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/4506996 and -157\/390.\nAnswer: 22534980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 701850 (base 12) to base 3\nAnswer: 10021122100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -511, -1003, -1467, -1903, -2311, -2691?\nAnswer: -3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 31716?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**3 - 6 - 2*m**2 + 0*m**3 + 5 to the form c + q*m**3 + a*m + z*m**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 970 and 776570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4556\/3 - 1518. Which is the nearest to 1\/143? (a) 0.4 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -107\/4. Let x be 3*-1 - 72\/(-21). Sort x, -2\/7, s in descending order.\nAnswer: x, s, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3235 + 5901. Calculate the greatest common divisor of z and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51415.28 decades to millennia.\nAnswer: 514.1528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3 + 95*g**2*s + 63*g*s - 6*g wrt g.\nAnswer: 36*g + 190*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*y - 92, -5*y - 2*w + 237 = -4*w. What is the remainder when 186 is divided by y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 11*b**2 + 13*b - 3. What is g(-9)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -175*x**3 - 3*x + 2. Let j be w(1). Let f = j - -194. What is the least common multiple of f and 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8066942 litres?\nAnswer: 806.6942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74.1 + -29.9893.\nAnswer: 44.1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-7)\/3 - -2). Let z be (-4)\/(-2)*i\/12. Let v = 1 + -2. What is the nearest to -2 in v, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7775412 grams?\nAnswer: 777.5412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.921 or -0.01?\nAnswer: 0.921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3 - 6. Let l(t) = -2*t**2 - 2*t + 5. Let v(m) = m - 1. Let w(p) = b*l(p) - 2*v(p). Find the first derivative of w(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 55, 352, 0 in increasing order.\nAnswer: -1, 0, 3, 55, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 300 - 299. Suppose 0 = 3*q - 5*c + 11, k = -q - 0*c + c. Solve 1 = -q*o + 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, -1, -4.\nAnswer: -4, -1, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -10 - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*b + 13 + 2 = 0, 0 = -2*x + 5*b - 15. Let i(q) = -3*q**2 - 27. Let z be i(7). Let c = z - -177. Solve 3*v - c*p = x, -v - 5*p + 16 - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 66962*s\/9 + 2480.\nAnswer: 2*(s + 11160)*(3*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256138 is divided by 7651.\nAnswer: 3655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -173, -149, -125, -101?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17660 + 15?\nAnswer: -17645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 82 - 81 + k**2 + 0*k**2. Suppose -9*v + 7*s = -13*v - 9, -v - 3*s - 6 = 0. Calculate h(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -3)\/(2 + 0). Let v be 1\/3 + u\/9. What is the least common multiple of 12 and (8 - v)*5\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s. Let p = -120 - -123. Let v(x) be the second derivative of -x + 0*x**p + 0 + 0*x**2 - 1\/12*x**4. Determine v(f(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*r = -2715, -n - r + 1353 = n. Let j(h) = 335*h**2 - n*h**2 + 342*h**2. Let m(l) = 19*l**2 + 2*l. Give m(j(g)).\nAnswer: 76*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, o: 5, s: 3}. Give prob of sequence vov.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/2275439?\nAnswer: -2\/2275439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2144?\nAnswer: 2144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) 97 (c) 1\/3 (d) -6 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(2 - (-4)\/(-16)*0). Let r be -129375*(96\/9 - c). What is r rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7045540435.\nAnswer: 5, 17, 23, 3603857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6228 - 6194. Solve -g + 6 = 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(228) + (sqrt(228) + ((sqrt(228) - 1*sqrt(228))*-5 - sqrt(228)) - sqrt(228)) + sqrt(228) - sqrt(228))\/sqrt(12) - (-3 + 5 + (sqrt(2736)*1)**2).\nAnswer: -2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 18 = 2*q, -4*n + q - 2 = 3*q. Suppose -n*o - o - 6 = 0. Let d be 2112\/6*-150*5\/o. What is d rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/11466 and 59\/18.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 6*x - 2. Let f be j(6). Let z(s) = s**3 + 2*s**2 + 2. Let g be z(f). Factor -2*v - v**4 + 4*v**4 + 8*v**2 - 10*v**3 - v**2 + g*v**3.\nAnswer: v*(v - 1)**2*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.11654 + -0.02346. Let n = l - -63. What is the smallest value in n, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68363 is divided by 22081.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -42*o**2 - 3235*o - 79. Let y be h(-77). Let c be ((-15)\/6)\/(1\/2). Sort 1, y, -3, c.\nAnswer: c, -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000097989 to six dps.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 3*d + 2. Let s(w) = -6*w**2 + 8*w - 6. Determine -17*k(z) - 6*s(z).\nAnswer: 2*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-180)\/(-32)*8\/20. Let -3\/4*i**2 + z*i - 3\/2 = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 17. Let x = -0.4 + 0.1. Which is the nearest to h? (a) -0.5 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b**3 - 27*b**2 - 13. Let h(q) = -3*q**3 - 9*q**2 - 4. Suppose 0*m - 21 = 3*m. Let s(n) = m*h(n) + 2*a(n). Let o = 26 + -35. Determine s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15951 and 1.06?\nAnswer: 16908.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -19 - (-15)\/(-3). Suppose 5*n + 4*o = 46, 18*n - 14 = m*n + 4*o. Solve -a = -0*a - 3*t - n, 0 = 3*t + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -0.16. Let z = -15 + 15.1. Let c = 0 + z. What is the third biggest value in v, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose -3*i + 4*k - 4 = -11, k + 8 = 2*i. Let y(m) = -3*m - 8. Let h(v) = 2*v + 7. Let r(z) = i*h(z) + 4*y(z). Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, 6, 132, 3 in descending order.\nAnswer: 132, 6, 3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35840\/(-48))\/(-40))\/((-2)\/(-3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 3*d - 31, t = -2*t + d - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -356199128 divided by -89049782\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-9)\/30*180\/(-8). Suppose 28*f + 24800 = o*f. What is f rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21841 = 21065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 655 and 180474770.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.820046546 plus -22.4?\nAnswer: -21.579953454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*j + 87*j + 25. Calculate the remainder when 73 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 297829925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-4))\/(65\/130). Let k(o) be the first derivative of 0*o**n + 3 + 0*o + 0*o**2 + 1\/2*o**4 - 1\/3*o**6 + 0*o**3. Suppose k(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910791151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -31?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105895070?\nAnswer: 2, 5, 31, 341597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 27*v. Suppose v = 5*w + i - 30, 3*w + 3 - 9 = -3*i. Sort -1, w, 3, 2.\nAnswer: -1, 2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 42*v + 302. Let j be u(-8). Which is bigger: j or -39?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 - 12 + 11*s - 8*s - 6*s**2 + 5*s**3. Let d be j(6). Suppose -24*c + 35 = -61. Solve -m = -p + d - 3, 0 = c*p + m - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/56 and 53\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*o + 1990 - 614 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -101\/47925?\nAnswer: -101\/47925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q = 174*q - 22*q - 14401 + 3514 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-90)*(-6795)\/(-151)*(-3)\/6?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzzyyzv. What is prob of picking 2 z and 2 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u + 15. Let y = 0 - 0.1. Let k = -0.4 + y. What is the second smallest value in u, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, l: 7}. What is prob of picking 2 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13783 is divided by 6889.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c. Let k(m) = -812*m**2. Determine k(x(l)).\nAnswer: -293132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 8, 2 = -3*d - 2*p - 3*p. Let z(q) = 12*q - 8. Let x be z(6). Let n = x - 259\/4. Which is the closest to -1? (a) n (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/2 + o**2\/2 + 190*o = 0. What is o?\nAnswer: -19, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*r = 692, -4*x - 605 = -3*r + 86. Let l = -2922\/17 - x. Let g be (1\/2)\/(1\/4). Which is the second biggest value? (a) -4 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3164385 and 59\/175.\nAnswer: 15821925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-58)\/609)\/(-1 - (-3)\/9). Which is the biggest value? (a) v (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 0 - (-18682)\/8296. Let r = c + -2\/1037. Calculate the common denominator of r and ((-8)\/(-144))\/(2\/164) - 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/16 and -73\/213759864.\nAnswer: 427519728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (30\/18)\/(3\/(-9)*1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -116. Suppose 20 = 3*g + 5*j, 0*g = 5*g - j - 80. Sort 0, g, w, 3 in decreasing order.\nAnswer: g, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -8 + 7 + 9 - 162\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (11194*n - 5592*n - 143 - 5598*n)*(2*n + 5*n - n + 2) in the form r + k*n + d*n**2 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1a4d48 (base 15) to base 13\nAnswer: -35b766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*d + 8, 0 = -6*g + g - 5*d + 5. Suppose -3*b - u + 70 = u, g*b - 3*u = 116. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -1\/8 (c) 54\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/65 + (64\/1184 - (-16086)\/2220).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (72 - (22 + 35)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 25 = 9. Let y = 28046 - 28041. Sort d, -3, 4, y in increasing order.\nAnswer: d, -3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61054, 122072, 183028, 243892, 304634, 365224?\n\"Answer: -5*z**3 - z**2 + 61056*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136)*-1*6 + sqrt(136) - (((sqrt(136) + sqrt(136) + -1*sqrt(136))*6 - sqrt(136)) + sqrt(136) - sqrt(136)))\/((sqrt(32) + sqrt(288))*4).\nAnswer: -9*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2457, -4912, -7371, -9834, -12301?\nAnswer: -14772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(44)\/sqrt(4)) + (sqrt(7200) + -2*sqrt(7200) - sqrt(7200)))\/(sqrt(540)\/sqrt(6) - (sqrt(10) + 1*sqrt(640))).\nAnswer: 23*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 425 - 419. What is the lowest common multiple of i and 29?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 17264*v**2 - 155012*v + 172280.\nAnswer: -4*(v - 1)*(v + 10)*(v + 4307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 30*o**2 - 33*o + 12. Let r be s(35). Suppose -3*d = 2*h - 14861, d - 35*h + 30*h - r = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, 1 q, and 1 e when four letters picked without replacement from {e: 6, u: 2, a: 3, q: 8}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -7 (c) -1892 (d) 356\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50298541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131\/30 - -25\/6. Let z = -1.01 - -1.42. Let n = -0.01 + z. Which is the third biggest value? (a) n (b) 0.3 (c) -2\/13 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193.79, -8, 31 in ascending order.\nAnswer: -193.79, -8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166588526.0000013 + 166588492. Let p = o - -34. Round p to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 8:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -4*b - 5*n, b = 3*b - n - 160. Suppose -64*z + 44*z + b = 0. Solve 6*y = 2*y - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1161 times 0.2\nAnswer: 0.02322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11057250*q**2 - 1 + 1 - 11057254*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 i, and 1 u when three letters picked without replacement from {l: 1, n: 1, i: 1, m: 1, u: 4, w: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 greater than 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 603 and 37.\nAnswer: 22311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 - 97 - 3*f - 107 - 106 + 403.\nAnswer: -3*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380830 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 107361*g**2 + 1288008*g - 3863700 = 0 for g.\nAnswer: 6, 35775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2360032 is divided by 6413?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 1. Let q(y) = -2*y - 1. Let n(r) = 10*r + 44. Let c(l) = 6*l + 43. Let m(d) = -4*c(d) + 3*n(d). Let h be m(6). Give h*x(o) + 3*q(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w - 1. Let n(g) = g + 1. Suppose 99*f - 111*f - 12 = 0. What is f*b(y) - 2*n(y)?\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2073*p - 12433. Let r be a(6). Let j(b) be the third derivative of 33*b**2 - 1\/280*b**6 + 0*b**r + 0*b**3 + 0*b + 0*b**4 + 0. Factor j(y).\nAnswer: -3*y**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7427820 or 7427890?\nAnswer: 7427820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r**(2\/35))\/((r\/r**(4\/9)*r*r)\/((r\/((r\/(r**(-5\/6)\/r))\/r))\/r)) assuming r is positive.\nAnswer: r**(-10289\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 197, 173, 149?\n\"Answer: -24*o + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 4:34 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(99) - (2 + sqrt(99))*1)**2 + 1 + 4 + (2*(4 + sqrt(99) + 1)*-6)**2.\nAnswer: 4320*sqrt(11) + 17866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (9 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 3806 = -54. Suppose 2*q + 239 = -n, -q + 709 = -3*n - 5*q. Let o = k - n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let q(p) be the second derivative of -p**3\/3 - 29*p - 6. Determine g(q(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 26*h + 1435. Let t be u(-21). Solve 22*n - t*n - 8*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 52 = -3*q, 0 = -6*q + q - 3*k - 93. Let t be (-30)\/q - 34\/(-3). Solve 3*d = -2*u, 5*u - t = -d - 0*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5779041*u**2. Let c(q) = -2*q. What is a(c(h))?\nAnswer: 23116164*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 243*d**2 - 2793*d + 249. Give z(-254).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6593 - 8*a**3 - 32*a**3 - 6577 - a**4 to the form b + h*a**2 + v*a**4 + r*a**3 + w*a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Suppose 5*s - 22 = 4*d + 5, -27 = -j*s + 5*d. Suppose 0 = -2*f + 4 + 6. Solve s*r - 5 = y - 6*y, -4*r = f*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 + 8*p**2 + (3*p + 3*p - 4*p)*(p + p + 0*p) in the form v + l*p + n*p**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2124053.\nAnswer: 1\/2124053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8806162 and 28302?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d. Suppose 2*j = -4*v + 8, 0 = -d*j + 3*j - v + 2. Let t be j + 1 - 20\/(-5). Solve u = -g, 0 = t*g + u - 25 + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 7 + -3 + 1. Suppose 563 = 5*s + 4*n, -4*n + 218 = c*s - 6*n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -287506 + 653?\nAnswer: -286743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94, 104, 120, 142, 170, 204, 244?\n\"Answer: 3*r**2 + r + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177594572.\nAnswer: 2, 71, 109, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308 + 266*k - 153 - 155 + 1262*k)*(-2 - 4 + 5).\nAnswer: -1528*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.58799 decades in months?\nAnswer: 310.5588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let h be x(2). Let d = -10 - -16. Suppose -t + d*t = 10. Solve 2*c = -t*c + h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 6*o**2 - 7*o + 4. Let l be p(-7). What is the highest common factor of 36 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 369787\/50 - 14809\/2. Let y be 1762\/200 + 0 + 2. Let b = l + y. Calculate the common denominator of -19\/4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 201387\nAnswer: 5034675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17240 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Let c(b) = -b**3 - 4*b**2 + 5*b + 5. Let g be c(o). Solve 0 = -5*l + g*q + 5, 0*l = -5*l + 3*q - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/17, 2254, -30.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 3\/7*s**2 - 3\/140*s**5 + 1\/7*s**4 + 0 - 3*s - 5\/14*s**3. Factor j(p).\nAnswer: -3*(p - 2)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (-3 + (-15)\/(-6))\/(1\/(-32)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 8 = -48. Let d(w) = 3*w**3 - 10*w**2 - w - 3. Let b be d(t). Suppose b = 4*z + 2*k - 3*k, -4*z = -4*k - 532. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111101100110100111 - -10101?\nAnswer: -1110111101100110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1.692.\nAnswer: 0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -81648 divided by 189?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**4 + c**3 + c**2 + c. Let i(g) = 16*g**4 + 2*g**3 + 3*g**2 + 3*g - 8. Let j(f) = -i(f) + 3*l(f). Differentiate j(q) with respect to q.\nAnswer: -76*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 679791*c*m*n - 21*c*m + c*n + 13485*m + 38*n + 11 with respect to c.\nAnswer: 679791*m*n - 21*m + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g - 21*g + 28*g = -1456. Let m = 29 - -50. Let b = g + m. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1190)\/(-315)*-9*(-2)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 43. Let u = d + -22. Is 1\/35 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 192 = -4*h + 74, 515 = 5*u - 5*h. Let q = u - 55. Suppose -q = -2*r + 5. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 > 1461\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*-2 + sqrt(110))\/(-1*sqrt(90)) + 3.\nAnswer: -5*sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*i - 2, 0*b + 16 = 4*b. Suppose 0 = 2*p - x, -2 = -3*p + 6*p - i*x. Suppose w + 3*z = 12, p - 6 = -4*z. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103, -415, -935, -1663, -2599, -3743, -5095?\n\"Answer: -104*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -440*m**3 - 324*m**2 + 8*m + 4. Let y(r) = -441*r**3 - 323*r**2 + 6*r + 3. Let u(f) = -3*i(f) + 4*y(f). What is the third derivative of u(q) wrt q?\nAnswer: -2664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004592 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(0 - 3) - 1. Let k be (-6)\/(-2) + 106\/(-34). Let o = 48\/119 + k. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537953626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + ((sqrt(228) - sqrt(228)*3)*-5)\/(sqrt(24)\/(sqrt(2)*1 + sqrt(2)))))**2.\nAnswer: -2560*sqrt(19) + 121856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let g = -25615 + 25614. Let y(r) = r - 1. Give g*y(d) + 3*w(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524 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: Express -3*r - r - 18*r as o*r + c and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299665.\nAnswer: 5, 73, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from mmmyuupumm?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*h - 12, -4*o - 23 = 5*h - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5240, -5184, -5040, -4766, -4320, -3660, -2744, -1530?\n\"Answer: 7*h**3 + 2*h**2 + h - 5250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 1)*(-q + 2*q + q) + (106*q - 2*q - 45*q)*(0 + 5 - 3) - q + 2*q + q in the form b + r*q and give r.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 28. Suppose 0 = 4*y - u - 20. Calculate the lowest common multiple of y and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 64076*v - 3073339. Give n(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 80. Let f be (4 - 7)*(-6)\/18*3. Solve -32 = f*a + 5*b, -z*a - b + 3 - 23 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 199, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzzzzzmzmzzzzzmzzzz. Give prob of picking 4 m.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-405329)\/140984)\/(1\/16).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 96, 108, 114, 108, 84?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*q**5 - 189937*q - 10*q**2 + 189937*q + (-4*q + 5*q + 0*q)*(-2*q**4 + 15*q - 15*q).\nAnswer: -4*q**5 - 10*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.29527 litres to millilitres.\nAnswer: 7295.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00566549 rounded to 4 dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (sqrt(704) - (sqrt(704) + sqrt(704)*-3)*-4) + sqrt(704) + sqrt(704))**2.\nAnswer: -80*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -458*-0.27\nAnswer: 123.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30*q + 65. Calculate the remainder when 125 is divided by g(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - 4*s, -2*b - 4*s - 4 = -6*b. Calculate the smallest common multiple of 0 - (b + 9\/(-1)) and 19 + 1 + (-1 - 1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from jhjjjjjjsjhjhjj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**3 + 6*m**3 + 2*m - 19*m**3 + 7*m wrt m.\nAnswer: -126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(4\/2 + -1). Is (9 + r)*(-42)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*0*10\/(-10). Suppose 10*z - 17 - 3 = b. Put -10, z, -1\/7 in decreasing order.\nAnswer: z, -1\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -27. Let j(z) = -18*z + d*z + 2*z. Let r(o) = -5*o. What is r(j(k))?\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 4*g**2 - 4*g - 4. Let x be c(-4). Suppose -2*j = 2*j - x. Find t, given that 1 - 3 + j*t - 6*t - 2*t**2 + 7*t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157716 divided by 234\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*l - 2*l - 20, 5*l - z = 89. Suppose 0 = 12*y - l*y + 18. Solve y*p + 21 = -6*s + 2*s, -4*s - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = h + 2*h. Suppose 3*y = -4*z + 66, -4*y - 8*z + h = -3*z. What is the remainder when 53 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 178\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18636384 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28810 is divided by 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*a - 969 + 969 + (-4 + 2 + 4)*(2*a + 5*a - 3*a) + a - 2*a + 3*a + (1 + 2 - 4)*(5*a - 5*a + a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 2088, -119?\nAnswer: 2088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1553 - -1604. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99884808*v**2 + 120389317?\nAnswer: -199769616*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*l - 12 - 7, 5*c = -l + 29. Solve 0 = -2*w + 3*z + c, 2*z + 3*z + 20 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.4249616 months?\nAnswer: 0.001187468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(637) + sqrt(637))*6 - sqrt(637)*5*-6 - (2 + sqrt(637)*-3 + (sqrt(637)*1 + -2 - sqrt(637))))**2.\nAnswer: 2069613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 1 - 5*a**2 + 4*a + a)*(-52 - 127 - 351) + (0*a + a + a)*(-2*a - 1 + 1).\nAnswer: 2646*a**2 - 1060*a - 530","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -335307.95 times 0.2?\nAnswer: -67061.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -428 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 6*f - 6. Solve j + 0 = -f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 936147323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w**(-1)\/w))*w*w)*w*w\/(w\/(((w\/(w*w**(1\/4)*w*w))\/w)\/w)))\/((w*w**5)\/w*w**1*w))**(-2\/75))**(3\/4) assuming w is positive.\nAnswer: w**(37\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1008 + 1084.9. Let y = x + -77. Is 45\/4 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-684))\/7)\/((-29)\/(-261))*(-32)\/132?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w**2 - 213*w + 643. Calculate r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 297827379 to the power of 1\/2, to the nearest integer?\nAnswer: 17258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 - -6.98. Let w = s + 0.02. Which is the fourth biggest value? (a) 4 (b) 0.2 (c) 3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 130. Suppose -4*u + 45 = -203. Does 8 divide g + u - (2 - 1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 2. Suppose -5*w - 7 = -l + 2*l, -4*l + w + 14 = 0. Let u be o(l). Let j be (-522)\/(-12)*(-12)\/(-18). Solve -5*a - j = -u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:41 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -137213 minus -38994?\nAnswer: -98219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066526 times -44?\nAnswer: -134927144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 3*m - 2. Let a(r) = -r**2 - 5*r. Let u be a(-4). What is w(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.528762919 rounded to 4 dps?\nAnswer: 0.5288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 10*c. Let r(o) = 2*o**3 - 9*o. Determine 4*r(n) - 3*s(n).\nAnswer: -n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - 2*j**2)*(0 + 0 - 2*j) + j + j**3 - j - j**3 + 3*j**3 + 0*j**3 - 101 + 101 - 2*j**3 - 11*j**2.\nAnswer: 5*j**3 - 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggxdmcdyyyy. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 44*l + 134. What is x(-42)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.08, -1\/5, -0.4, 0.2, -1\/3, -1671?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71507 = -10701*i + 17869 + 143331 - 7986 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588024241 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 8. Let g = -7 - -5. Let t = -1 + -2. Sort t, g, x.\nAnswer: x, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271927?\nAnswer: 271927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53236*a - 4*w - 28 = -53232*a, -2*w - 35 = 5*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7903 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qexkqeeexeeeee. What is prob of sequence xqkq?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7225649016?\nAnswer: 2, 3, 2111, 142619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152656 + -24.5.\nAnswer: -152680.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24480070 = 4*r + 9*z - 10*z, 6120024 = -r - 3*z. Suppose 4*p - p + 27 = 0. Let g be p\/(-6) + r\/12. What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 554 = -353. Suppose 9*x - 249 - t = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.3 (b) 0.2 (c) 0.77 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85 + 27 + 55 - (0 + 36)) + 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309285 is divided by 121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 + 61*i**2 - 2*i + 197*i**2.\nAnswer: 227*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from kkkukuqqxkxuu.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(363) - -4*(0 + sqrt(363)) - 5*(2*sqrt(363) + sqrt(363))) + 0)*-5)**2 + -3.\nAnswer: 907499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvxfvvxxxzxvvfvvvv. Give prob of picking 1 x and 3 v.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 1 r when three letters picked without replacement from {r: 1, w: 1, h: 1, a: 4, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -53. Let g = -25.999989 + i. Round g to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/61 + -11\/1464. Find the common denominator of 268\/(-18)*42\/(-280) and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebteebe. Give prob of picking 2 e, 1 b, and 1 t.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 17 = -3. Let w(m) = m**2 - 3*m**3 - 2*m**g + m**3 - m. Calculate the remainder when 53 is divided by w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2 - 0) + 61\/(-122). Put k, -3, -5 in increasing order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.128799 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152725552.\nAnswer: 2, 11, 107, 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 - 4*a**2 + 7*a - 8. Let l(x) = x**3 - x**2 + x - 1. Let g(b) = i(b) - 6*l(b). Let m be g(2). Is (14\/2 - m) + -2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 + -141.81. Let u = d - -0.71. Is u not equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - -2.2. Let v = -26 + 25.7. Which is the closest to 1? (a) v (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*g - 28 + 68 = 0, -a = -2*g - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 60, -6999, 0.09, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-10*1\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**39)**(-2\/15)\/((y*y**(-2\/27))\/((y*y**(15\/7))\/y)) assuming y is positive.\nAnswer: y**(-3764\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 6 - 34. What is the smallest common multiple of x and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7294628?\nAnswer: 2, 11, 193, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(12) - sqrt(12))*2*3)\/((sqrt(4) + (1*sqrt(4) - sqrt(4) - sqrt(4)))*-6 + (sqrt(20)*1)\/sqrt(5))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -379\/3. Let t(w) = 181*w + 1. Let u be t(1). Let r be (u\/(-12))\/13 + (-4)\/(-3). What is the third smallest value in r, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074 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: Sort 1, 20, -6, -81 in descending order.\nAnswer: 20, 1, -6, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 2, i: 2, r: 1, h: 1}. Give prob of sequence hie.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40702 or 40330?\nAnswer: 40702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3381878 millennia in years?\nAnswer: 338.1878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**7\/840 - g**6\/72 + g**5\/24 - g**4\/8 + 7*g**3\/3 + 45*g**2. Let x(f) be the first derivative of t(f). Give x(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -10*y + 7*y + 126. Calculate the lowest common multiple of 4434 and y.\nAnswer: 31038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*6\/63)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/8 - 3\/(-12). Let t be p\/12 - 2\/8. Suppose -2*n = 2 - t. Is -2\/3 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 12 = 5*m. Solve m*i + 4*l + 12 = 3*i, 3*i + 5*l + 32 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1358*v + 1400*v - 1470 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8706*u**2 - 73. Let h(v) = 2*v. Calculate h(f(c)).\nAnswer: 17412*c**2 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -c - 2*u, u - 54 = -5*c. Put 3, c, 4, -0.3 in ascending order.\nAnswer: -0.3, 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -109. Suppose 3*t + 0 = l. Factor 1\/2*r**2 + 9\/2 + t*r.\nAnswer: (r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -15.12\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8423277 is divided by 8423263.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 3*g, -4*z + 0*z = -2*g - 10. Sort g, -4, 3 in descending order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 100*y + 183. Let x be a(-35). Let i(k) be the second derivative of 0 + k + 2\/15*k**6 + 13\/3*k**4 - 8*k**3 + x*k**2 - 6\/5*k**5. Factor i(f).\nAnswer: 4*(f - 2)**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m + 116*m + 1008 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 - 6 = 0. Let r be x + -1 + (2 - 1). What is the tens digit of r\/8*2*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(25\/(-10) + 0). Suppose o*i - 185 = 465. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 70427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/(-27))\/((-2185)\/(-7866)))\/(0 + 12\/(-27))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 1. Let w be m(1). Suppose 2*g = 0, -w*c + 5*g = 4*g - 4. Let -2\/7*q**c - 2\/7*q**4 + 0*q - 4\/7*q**3 + 0 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y. Let d(h) = 6*h. Suppose -2*m - 1 = -m, 79 = 2*w + 5*m. Suppose 40*u + 10 = w*u. What is u*d(x) - 6*g(x)?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 81, -1.7002, 1\/8?\nAnswer: -1.7002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p - 24*p + 10, -4*i + 26 = -4*p + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 60 = 5*a, 3*a - 2*j + 1 = -7*j. Calculate the least common multiple of a and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 2*k. Solve k = -0*w + 3*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwvw when four letters picked without replacement from {v: 4, i: 5, w: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose -t*q = q - 15. Suppose -q*o - 2*o = -55. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -221?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + 2) + (sqrt(425) - (3 + sqrt(425) - sqrt(425) - sqrt(425))).\nAnswer: 7 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 12896.4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i + 91*i = -7 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 29186*s + 0.\nAnswer: -29186*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755262953.\nAnswer: 59, 12801067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 952467 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7918 + 0.8118. Which is the closest to -3\/2? (a) 6 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -5146?\nAnswer: -5147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + (1 - (-2)\/(-2)). Let a be (-5)\/(m\/4) - 39. Let v = -25 - a. Solve -v + 2 = -2*l - 2*d, 1 = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhyj when four letters picked without replacement from {h: 4, j: 5, y: 8}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3480\/812*28\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 7 = 3*m + 2*m, 18578*o - 18582*o = -12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (40\/(-30))\/(1\/(-78))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/1 + 0\/2. Suppose f*d - 712 = 2*d. Is ((-4)\/(-8))\/(1\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1 + 2 + 0 - 3*b. Is k(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-105))\/(-3*16\/432).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 446 = 12*z - 379 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70145815561.00000577 + -70145816182. Let g = l - -621. Round g to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 8*k = 7*k + 9, -2*r = -4*k - 8. Suppose -4*z + 5*q = -19, 3*z - 35 = -r*z - 5*q. Solve -28 = -2*d - 5*p, -4*d = -5*p + z - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/17, 0.36, 5 in ascending order.\nAnswer: -0.2, 2\/17, 0.36, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 6. Let l be i(10). Is 61\/2 - (-21)\/l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 4*z - 2. What is the least common multiple of 6 and g(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111967 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + 17. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9942 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**2 - 79*r + 47. Let f be q(5). Solve b + 4*n + n + 18 = 0, -6 = f*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 5, 26*b - 5 = -t + 78 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1178696479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + (-42)\/8)\/(2\/24). Suppose -13 = -p*h + 5. What is the derivative of -33*d**h + 38 - 29 - 12*d**2 + 33 wrt d?\nAnswer: -90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -55*x + 2. Let l(m) = -111*m + 4. Calculate -4*l(h) + 9*o(h).\nAnswer: -51*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 5*z**6\/42 + 12*z**5\/35 + z**4\/7 - 10*z**3\/21 - 9*z**2\/14 - 2*z\/7 + 1. Factor v(h).\nAnswer: (h - 1)*(h + 1)**3*(5*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 + -2. Let n = -20 + 20. Is t greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-250)*1270\/(-762)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -6197.\nAnswer: 3098.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + 0 + 3*u + 0. Let t(f) = 5*f**2 + 2*f. Let s be 132\/(-594)*(-36)\/((-6)\/(-3)). Calculate s*t(k) - 3*p(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 3 = 35. Let l(f) = 106*f**2 - 6*f + 6. List the prime factors of l(z).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -192, -2\/7, -84?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212*p + 29347 = -26912 - 19140 + 12375 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10701542, -21403084, -32104630, -42806180, -53507734, -64209292, -74910854?\nAnswer: -85612420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35\/5479, 0.2, 2\/31, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**2\/2 + 2*g - 1. Suppose -16 = -5*t + 4. Give p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 - 5*s**2. Let k(c) = -13*c**3 - 10*c**2 - 1. Give -4*k(h) + 9*m(h).\nAnswer: -2*h**3 - 5*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 + 15336*s**4*u**3 - 402*s**2*u**3 - s*u**3 - 115*s wrt s.\nAnswer: 120*s**3 + 368064*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18619574?\nAnswer: 2, 59, 157793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/42*-2*2\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3575, -5 in ascending order.\nAnswer: -3575, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12350908 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3370777 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 154. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72238 = -13*f - 72030 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:08 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*z = 125*z + 30. Which is bigger: 15 or z?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/2 + 5*o**3\/3 - 2*o**2 + 8*o - 10. Let c = 29 - 25. Let v be m(c). Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-4.234\nAnswer: 16.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 20*f - 14. Calculate the remainder when (-126)\/(-10) - (-2)\/5 is divided by s(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let z be (-11)\/(-9) + (-6)\/27. Put 3, z, v in descending order.\nAnswer: 3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 2*x**2)*(-5 + 2 + 2) - 1413 + 2823 - 1411 - 3743*x**2.\nAnswer: -3741*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**7\/42 - 17*m**6\/20 - 7069*m**4\/24 + m**2 + 2*m - 66. Find the second derivative of p(x) wrt x.\nAnswer: 60*x**2 - 612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2, 68, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 96, 307, 710, 1371, 2356?\nAnswer: 3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*g - 3*g - 57, 3*n = -2*g - 35. Let t = -13 - g. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3717911889 rounded to the nearest 100000?\nAnswer: 3717900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.11 + -2.61. Which is the closest to 0.2? (a) -2\/15 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.4711mm to kilometers.\nAnswer: 0.0002944711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -43*o**4 - 4*o + 33. Let t(y) = 43*y**4 + 3*y - 34. Let k(u) = 3*q(u) + 4*t(u). Differentiate k(a) with respect to a.\nAnswer: 172*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 31*h - 163 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259 - -127. Let d = 80633\/19962 + 18\/1109. What is the common denominator of (-2)\/6 + (-398)\/u and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = -9*d - 16*d. What is the biggest value in -0.3, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*k + 0)*(2106*k**3 + 2156*k**3 - 3989*k**3) to the form b*k**2 + h*k**3 + a*k**4 + c*k + s and give a.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 3. Let x be i(-5). Suppose 3*y + x = -1. List the prime factors of -2 + (-3 - (y - 20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (0 - -12)*13 - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 8*x**6\/25 + 54*x**5\/25 + 21*x**4\/4 + 49*x**3\/10 + 129*x + 1. Factor s(k).\nAnswer: 3*k*(k + 1)*(4*k + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (296\/32)\/((-1580)\/80 - -20)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 0.15, -5\/7, -623, -0.3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 22*c**2 - 1515*c - 441. Calculate o(69).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a - 10. What is t(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + 5.87. Let t = d + -6.1. Sort -1\/2, 5, t in ascending order.\nAnswer: -1\/2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 15?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078464 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 20*z**2 + 28*z + 204. What is i(-21)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*w - 26 = 80*w. Let u be (-6)\/(-4) - 2\/(-4). Solve -3*o + w = -u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -bb625?\nAnswer: bb62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 7, h: 3, b: 1}. Give prob of sequence vb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 13*h - 13*h)*(-2*h**2 + 0*h + 0*h).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155800213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1053*a + 1066*a + 13 = 0. What is the smallest value in a, 2\/11, 7, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*l + d + 19, -2*l + d = -9. Find the common denominator of -87\/26 and 323\/48 - l\/6.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -33)\/(-3) - 2232\/(-216)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67\/35 + -11\/5. What is the closest to j in 0.4, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -12 - (-6 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/6 + 1148*i\/3 - 766 = 0. What is i?\nAnswer: -2298, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 36, -0.0636, -63\/5?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 3*q - 4. Let g be i(3). Let x = g + 24. Suppose x = -l + 2*l. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*a**2 + 23*a**2 + 23*a**2 - 55*a**2 - 59*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-132)\/(-18) - (-2)\/(-6))\/(-10*98\/(-560)). Let s be 22\/8 - (-3)\/12. Solve 2\/9*d**o - 8\/9*d**2 + 4\/9*d**s - 16\/9*d + 0 = 0 for d.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 0.08 (b) 4 (c) -5 (d) -104.8 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r - 3*r + (3*r - r + 0*r)*((0 - 1 - 1)*(0 + 2 - 1) + 3 + 0 + 0))*(10*r - 17*r - 15*r) to the form g + y*r + x*r**2 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Suppose 2*p = o + 6. Suppose p*m + 4 = -3*q, 0 = -2*q - m - 3*m - 4. Solve q = -2*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 141*y - 72. What are the prime factors of v(-83)?\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3153559 and -86\/678069?\nAnswer: 198674217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.25 + -0.05. Let z = -0.023898 - 0.176102. Which is the third smallest value? (a) n (b) 4 (c) z (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 2041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 24. Let k be q(6). Suppose t + k*t = 329. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 817 = -11665. What are the prime factors of z?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x**2 + x - 2. Let d be l(0). Let i be 0 - (-3 + 1) - d. Suppose v + 0*v = i. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 - 2*j + 3. Let w be l(4). Calculate the highest common divisor of w and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**3 - 45*q**2 + 3*q + 145. Calculate a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.019 - -11.33?\nAnswer: 12.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 830\/(-9545)*(8 + 184\/(-16))?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 1. Let u(c) = c**3 - 2*c**2 - 2*c. Let l = 0 + 2. Let q be u(l). Let w be x(q). Solve 4*j = -5*r + 41, 5*j - 11 = -w*r + 34 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 + 12*q - 3*q**5 - 5*q - 2*q**5 wrt q.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -41, -63, -87, -113?\n\"Answer: -k**2 - 17*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12616, 3, 2\/13, 2\/5, 0.3 in ascending order.\nAnswer: -12616, 2\/13, 0.3, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 9. Let r be a(-4). Suppose r = 4*d - 5, -d - 2 = -o. Let g(y) = -2*y**3 + 4 + y**3 + 4*y + 3*y**2 + 0*y. Determine g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 31 = 2. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126420 and 34860?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 734204.3l?\nAnswer: 734204300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 28 = 0. Let u be (-3)\/(-2) - c\/(-14). Differentiate 10 + u + 2*l**3 - 3 wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40218 or 40216?\nAnswer: 40218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 - 12 = 0. Suppose -2*t + m = 0, -5*b + 95 = -t - 4*t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.023653 and 7.\nAnswer: 0.165571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w - 3)*(-1 - 53*w + 16*w - 63*w**2 + 62*w**2).\nAnswer: -w**3 - 37*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 410866.6541 from -0.056.\nAnswer: -410866.7101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {i: 1, z: 3, l: 2, c: 4, s: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7861.53118 to the nearest integer.\nAnswer: -7862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 103*d**2 + 390*d - 82. Determine h(-6).\nAnswer: 1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 347514 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x**(2\/9))\/((x*x*x**(-1)*x*x)\/x)**(-40))\/(((x*(x**(-1)*x)\/x*x)\/x)**(-1\/13))**(-5) assuming x is positive.\nAnswer: x**(745\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925 is divided by 560?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*u + 635 - 635.\nAnswer: -252*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351458 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5088437 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/12 - 5\/12. Let v be (-4)\/(-45)*5\/2. Let h = -0.8 - 0.2. Which is the closest to x? (a) h (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 28. Which is bigger: u or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:40 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:51 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3*-2)\/((-288)\/(-216)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Let y = -1 - l. Let r be (-2 - y) + 9198\/(-2). What is r rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20012203400 + -12?\nAnswer: -20012203412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 641125422 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293045.304 minus 0.5?\nAnswer: -1293045.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37310961 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: Is 11803010 a multiple of 2180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 100231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72680559 rounded to three dps?\nAnswer: -0.727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + -3 + -7 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 2*v + 116*v**2 + 125*v**2 - 240*v**2 to k*v**2 + f*v + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 1100020011211220?\nAnswer: -1100020011211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 3*m**4 + 0*m**4 + (1 + m - 1)*(5*m**3 - 5*m**3 - 2*m**3) - 7*m**4 - 9*m**4 - 7*m**4 as u*m**2 + w + q*m + h*m**3 + n*m**4 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + d)*(3 + 1 - 6) - 3*d + 3*d - 2*d + 203*d - 80*d + 167*d in the form k + a*d and give a.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 209. Suppose 17 = 4*d - s. Suppose -k - 14 = -65. What is the greatest common divisor of d and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 997594980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (-4 + 9 - 0). Sort 5, c, 3, -1.\nAnswer: -1, c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22565412 divided by 74?\nAnswer: 304938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 511851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 172, 366, 638?\n\"Answer: 39*c**2 - c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.476664983402 - 0.02?\nAnswer: 24.456664983402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-10) + 9\/45. Let j(p) be the second derivative of 0*p**4 + 0 + 1\/10*p**5 + p - 1\/2*p**l + 0*p**3. What is the first derivative of j(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 + 0*c**2)*(1692*c + 992*c - 1238*c).\nAnswer: 1446*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 4, d: 2, j: 3, m: 1}. What is prob of sequence mjgg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -466, -448, -412, -352, -262, -136?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 279?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -21. Suppose f + x = 512, 0*f = j*f - 5*x - 1059. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*c**3 + 39*c - 27078 + 27078 - 39*c.\nAnswer: -99*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -12, -6, 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -2 - (2 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 6 = 12. Determine r, given that -6 + 39*r**h - 171*r**2 - 9*r**2 - 84*r + 42 - 21*r**3 = 0.\nAnswer: -6, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -0.0037.\nAnswer: -0.2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - (-2 + (sqrt(171) + sqrt(171)*-1 - sqrt(171)) + sqrt(171))) - (5 + sqrt(38)\/sqrt(2))*-3) + 5)**2 + 1.\nAnswer: 396*sqrt(19) + 2024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 7*c + 4. Let f be s(-4). Let z be (f\/(-3))\/(1\/(-9)). Let i = z - -55. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*o + 2*t + 20, 8 = -2*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(4) + (sqrt(98)\/sqrt(7))\/sqrt(7))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/60 + 36972\/30. Calculate the highest common divisor of h and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(114) + (sqrt(114) - (2*sqrt(114)*5 - sqrt(114))) + sqrt(114)))\/(-3*(sqrt(66) - -2*sqrt(66))\/sqrt(11)) + 2.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -21*a**5\/2 - 372*a**4 - 3576*a**3 - 4344*a**2 + 14472*a + 23328 = 0.\nAnswer: -18, -108\/7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.125, 1, -1.2, 0.04, -0.2 in ascending order.\nAnswer: -4, -1.2, -0.2, 0.04, 0.125, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35365 + -5?\nAnswer: -35370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**3 - 38*i**2 + 4531*i + 18081. Calculate t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -5207 - 1082. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.1. Let h be (-1)\/(-4) - 18\/8. Let n be ((-5)\/(-5))\/(2 - -2). What is the nearest to j in n, -1, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 42 = -0*f + 5*f, -p - 2 = 0. Let l be (0 + (-36)\/(-21))*308\/f. Let y = l + 72. Solve -y = -5*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 - 32*z - 215. What is j(-7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**11\/1995840 + t**9\/181440 - t**7\/30240 + 7*t**5\/30 - 6*t**2. Let o(z) be the third derivative of w(z). Solve o(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 6*i**2 + 5*i + 6. Calculate y(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2140 and 17120.\nAnswer: 17120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1191.6489 months?\nAnswer: 0.099304075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 4. Let n be i(-6). Suppose n*d - d - 4 = 0. Put d, 2, -0.1 in descending order.\nAnswer: d, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = s - 49. Suppose 6*w - s*w = -6. Suppose -111 = 5*t - w*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q - 94*q - 122*q.\nAnswer: -190*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y - 33*y + 20*y**2 in the form j*y + g + o*y**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 - -0.04. What is the second smallest value in -1\/9, n, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 9*z**2 - 4 + 5 - 1.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = z - 83, 4*l - 3*z = 5*l - 29. Suppose -4*r - 4*o + 3*o = -88, l = -5*o. Suppose 2*h = -r + 61. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/v**0)\/v)\/(((v**(-11)\/v)\/v*v*v)\/v)*(v*v\/(v**(-4\/5)\/v))\/(v*v\/((v*v*v\/(v\/v**(-1\/4)))\/v)))**(2\/75))**50 assuming v is positive.\nAnswer: v**(311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b - 6. Let p be w(4). Suppose -p = -8*c + 2*c. Suppose -c*h - 2*x = -35, 0 = -x - 5. Calculate the least common multiple of 45 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(w - 3 + 4*w - 3*w)*(-11*w**3 + 66*w**3 - 7*w**3) to h*w + u + k*w**4 + z*w**3 + f*w**2 and give z.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 8*c**2 + 14*c**2 + 0*c**2. Let m(w) = 3*w**2. Calculate m(s(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4372 - -7368. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 2121*q\/4 - 257224.\nAnswer: (q - 2528)*(q + 407)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (47 + -13 + -13 - 70)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (192\/60)\/(0 + (-14)\/(-35))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-nine quarters of a millennium?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -3277, 1 in descending order.\nAnswer: 3, 1, -6, -3277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2722043430 to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9566\/7 + 0)\/(146\/1022).\nAnswer: 2, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36750450\/13 or 2826958?\nAnswer: 36750450\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524 = 38*u - 371 + 911 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*u**4 + 630*m*u**3 - 132*m - 242*u**4 + 3*u**3 - 1384*u**2 wrt u?\nAnswer: -24*m*u + 3780*m - 5808*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thte when four letters picked without replacement from xoootoeotoxxhexohxoh?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-4)\/2)\/22*804\/603\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 9) + (2 - -1) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783431955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 4838643*w**2 + 474208623*w + 11618287737.\nAnswer: -3*(w - 1612979)*(w + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -4 - 2\/13*u + 0*u**2 + 2\/39*u**3. Suppose x(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjf when three letters picked without replacement from fjjjfjjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2. Let v(k) be the third derivative of -219*k**4\/2 + 79*k**2 - k + 13. Give c(v(d)).\nAnswer: 20719152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20082 - 18162. Calculate the smallest common multiple of a and 2160.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 219d?\nAnswer: -2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2\/5 - 47875433*d\/5 - 11968858\/5 = 0. Calculate d.\nAnswer: -11968858, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6721*g + 4*g**2 - 6721*g + 2 + 2*g**2. Determine l(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + i + i + 17, -2 = 2*u + 2*i. Solve 4*q + j = 4*j + 11, 5*q + u*j = -20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/6)\/((-3)\/(-18) + 0). Suppose 3*g = k*g - 35. Let m be 4\/(-10) - (-3)\/(-30). Sort g, -3, 2\/15, m in ascending order.\nAnswer: -3, m, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.5 - 7. Let p = 8 - 4. What is the closest to 2\/7 in -4, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -1\/16*b**4 - 1\/12*b**3 + 0*b + 73 + 1\/20*b**5 + 1\/8*b**2. Find h such that j(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/10836*45\/1\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-160)*4)\/((116\/120)\/29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 24*d + 2*f - 379 = 0, 4*d - 509 = f. Calculate the remainder when d is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1123157, -2246301, -3369445, -4492589, -5615733, -6738877?\nAnswer: -7862021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 - 6*f**2 + 7 + 3*f**2 + 3*f**2 - 6*f**2 - 4*f. Give k(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 6) + (-561)\/1. Calculate the common denominator of v\/(-24)*8\/(-10) and -35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(36 + -58 + 26 + (-30)\/8).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.884 + 0.084. Let w = 5.8 + d. Let g = -8.5 - -9. Which is the biggest value? (a) 14 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 z, and 1 f when three letters picked without replacement from zczzhzhhfrczchffzhzz?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/7)*q)\/q**(2\/7)*(q*q\/((q\/(q*q**(-2)*q))\/q*q))\/(q**(-1\/12)*q)*q*q**4*q**(2\/11)*q**(4\/3)\/q*q**(-2) assuming q is positive.\nAnswer: q**(3589\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m*m**(-9)*m))*m))\/(m**14\/m))\/(m**(-1)\/(m**(-8\/5)\/m)) assuming m is positive.\nAnswer: m**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 4\/(-6))*6. Suppose 5*f = -d*f + 819. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 175*z - 2623. Let h be m(15). Factor -2\/3*n**3 + h*n + 0 + 4\/3*n**2.\nAnswer: -2*n*(n - 3)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, l: 1, y: 5}. What is prob of picking 4 z?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -2768055043?\nAnswer: 2768055048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 4 + -9 - (-2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*v + 28, -3*a + 18 = 2*v - 5. Suppose 6 = -2*q + 18. What is the least common multiple of q and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*y + 4*y = -124, -2*p = -4*y - 68. Is p less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3188*u + 12398 + 32047 = -10996 + 10809 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from ssppsesepespspeppsps?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -2*t, 4*t - 10 = -5*p - t. Let f(b) = b + 6*b - 6*b - 4 + p*b. Determine f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.092, 1\/5, -814, 3\/5, -1\/2, -63?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2079 * 6.\nAnswer: -12474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(2 + (-200)\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*z - 17, z + 11 = 3*d + d. Suppose -2*t + d*t - 10 = 0. Suppose 3*f + 2 = -j - j, -5*j = 3*f + t. Solve -b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - i + 6 = 0, -2*s - 11218*i + 11223*i = 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 5668688, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -2)\/(17\/153). Calculate the greatest common divisor of 231 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21510 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8533492437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d**(3\/5)*d)\/d*d\/d**(4\/3))\/((d**(1\/4)\/d)\/d)**45 assuming d is positive.\nAnswer: d**(4861\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-9 + 430\/45))\/((-4)\/(-24))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 40*m + m - 120897. Which is smaller: m or 5756?\nAnswer: 5756","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 32\/323931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 28728 = -23*b. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*g + 22, -16 = 2*g - 9*n + 4*n. What is the second derivative of -9 + 3*h + 3*h**g + 0*h + 528*h**3 - 540*h**3 wrt h?\nAnswer: -72*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -31, -56, -79, -100, -119?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -42, -4, 2, 158, -5 in increasing order.\nAnswer: -42, -6, -5, -4, 2, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 2*t - t)*(2*t**2 + 3*t**2 + 9*t**2) - 25*t**3 + 6*t**3 - 21*t**3 to r*t + k*t**2 + x + f*t**3 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1498651 - 0.09.\nAnswer: -1498651.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = -s, 17 = -6*s + 3*s + 2*q. Let m(l) = -l**3 - 3*l + 5. Let d be m(s). Suppose -4*b = 2*x + x - d, -8 = -2*b. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005660026 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -67 and -12954637.\nAnswer: -12954704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, 11, 57, 141, 275, 471, 741?\n\"Answer: 2*s**3 + s**2 + 3*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (0 - 0)\/2. Solve 4*l + n = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 30 = 0. Let o be 4\/u - 75\/(-9). Let m = o + 5. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -50*y + 2. Is 17 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*0.541707\nAnswer: -0.07583898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-45))\/(-16 - (-196)\/12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -13, -135, 0, -0.27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-180)*-2)\/(888\/(-2220)*(-5)\/3)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2795 minus 401386338?\nAnswer: -401389133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -829, -2048, -3973, -6730, -10445, -15244?\nAnswer: -21253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 152. Let y be g(17). Which is the biggest value? (a) -2\/5 (b) -4 (c) y (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/55224 and 13\/3516.\nAnswer: 16180632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33372?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/252094 and -29\/6.\nAnswer: 756282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 139.\nAnswer: 5\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and 11868.64?\nAnswer: -2017.6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 + 1) - (-298 + 206 - (-16 + -2))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -14*k**2 - 1595754*k + 7295168 = 0.\nAnswer: -113987, 32\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1950, -4771, -7592, -10413?\nAnswer: -13234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -466. Let h = z - 188. Let m be ((-8)\/5)\/((-8)\/4). What is the closest to -1 in m, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4544*s = 9557*s - 4710*s - 8484 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*-3 + 3)*42\/(-36). Suppose -h*b + 326 = -9201. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 108523 - 4*v**2 + 108523)*(-v**2 + 5*v**2 - 5*v**2).\nAnswer: 4*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-2)*-11*750\/(-825)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c + 2*c. Let q = -114 + 159. Suppose 6*r - r = q. Solve 4*k - k - r = c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydy when four letters picked without replacement from yydyddddyd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92720, -185466, -278228, -371000, -463776, -556550, -649316?\nAnswer: -742068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.6 + 2?\nAnswer: 199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4693907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 632100654\/786422 - -5*12\/390. Let w = 497\/17284 - q. Let d = w + 804. Do -1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*j + 930, 150 = -2*d + 6*j - 238. Which is bigger: -192 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32 + 0*3\/6. Let w = f - 20. Solve -3*b + 0*b = -w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -423 and 150.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(833) + 1) + 1.\nAnswer: -21*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13677, -13699, -13721, -13743?\n\"Answer: -22*m - 13655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -5 (c) -99815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -1\/8 (c) -0.3 (d) 0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.96 - -0.04. Let c = -110 + 111. What is the closest to c in 4, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 161 + (-2 - 1) + 1. What is the derivative of 19 - 120*u**3 + 18 + o*u**3 wrt u?\nAnswer: 117*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -179*m + 1290. What is the thousands digit of u(-39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23604 = -5*u - 0*u - m, 4*u + 2*m - 18882 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4517 to 2 dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 438.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 - 17\nAnswer: -16.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 52. Is 1\/(2 - g)*-2359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 9*d - 12*d - 11*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y - 47*y - 63*y - 20 = 2*w, 0 = 5*y + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 25*i - 152. Calculate w(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 956.9 - 957. Which is the nearest to -2\/3? (a) v (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1275494 or 6377473\/5?\nAnswer: 1275494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanaainiaan. Give prob of sequence ia.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + m - 10. Let t be l(-6). Suppose 4*x + t = 200. Let y = -23 + x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*0.9.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.9 (b) 0 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 195 = -6*i - 19*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 576099.09 minutes?\nAnswer: 57.1526875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23314.14413 rounded to the nearest ten?\nAnswer: -23310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41484*t**4 + 41*t**3 - 5344605*t**2 + 5*t wrt t.\nAnswer: 995616*t + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12583 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3025009?\nAnswer: 1\/3025009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, 1, 4.\nAnswer: -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.304 (c) 549 (d) 2 (e) 0 (f) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 253.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2))\/o)**(-3\/16)*((o*o*o\/o**(-10))\/o)\/o**(-2) assuming o is positive.\nAnswer: o**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:45 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 39 + 5 = i, 4*i - 2*b - 170 = 0. Calculate the remainder when 286 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 76\/171*(-9)\/(-2). Suppose 4*q = -a*k - 14, 2*q - 3*q = 4*k + 14. What is the closest to 0.1 in 1, k, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 + 385*i + 1162. Give z(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*a**4 - 156*a**3 - 458*a**2 + 228*a + 361.\nAnswer: (a + 1)**2*(13*a - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 258 - 28*h**2 - 154*h**3 + 274*h - 2*h**5 + 174*h + 32*h**3 + 32*h**4 + 62 = 0. Calculate h.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 7724810.5613?\nAnswer: -7724812.5613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 44. Let v be n(7). Let u(q) = -10*q - 1. Let o be u(5). Let d = v - o. What is the highest common divisor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.31244 * 420.\nAnswer: -971.2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 115, 122, 125, 118, 95, 50, -23, -130?\n\"Answer: -z**3 + 4*z**2 + 2*z + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {u: 2, b: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.06, 1, 1\/8, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + z + 3*z)*(-z**2 + 0*z**2 - 4*z**2)*(-3 + 4 - 2) + (z**2 + 3*z**3 - z**2)*(-1 + 1 - 4).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*-3*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -8*f**6\/3 - 4*f**3\/3 + 4. What is the third derivative of x(j) wrt j?\nAnswer: -960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 + 13 = 5*j, -4*j + o + 4 = 0. Let u be ((-121)\/(-37) + -3)*j. Let g = u - 533\/370. What is the common denominator of g and 61\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-198)\/66*4\/6. Factor 3\/7*a + 0 - 6\/7*a**2 + 3\/7*a**t.\nAnswer: 3*a*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379 divided by -1\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 11*u + 35203. What is p(180)?\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -97195 and -3359.\nAnswer: -100554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, k - 3*f = -0*f + 20. What is the tens digit of (-2954)\/(-15 + k) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484654347 divided by -27\nAnswer: -17950161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 16. Suppose -3*i = 6, -48*p + 5 = -47*p + i. Give q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -590027 divided by 239.\nAnswer: -590027\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 40\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2416.92 * -0.41.\nAnswer: -990.9372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2 - 2) + -1)*-5. Suppose -x*m = w - 13, -2*m - 3*m = 3*w - 9. What is the common denominator of (w\/8)\/(3\/183) and 71\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4366.725 hours to seconds.\nAnswer: 15720210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52d (base 15) in base 8?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/21*18\/40*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1440 and 18914400.\nAnswer: 18914400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:50 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 38, 44?\n\"Answer: 6*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501550227.\nAnswer: 3, 55727803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 197, 398, 599, 800, 1001, 1202?\n\"Answer: 201*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 354 - 221. Let u = p - -177. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 15*d**2 - 2*d + 33. Let x be c(15). Sort 13, x, -2 in decreasing order.\nAnswer: 13, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527 and 3493619.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 2, -6250, 3 in decreasing order.\nAnswer: 248, 3, 2, -6250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 523482229 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/133809 and 1\/356824.\nAnswer: 1070472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -34. Let b(l) = -2*l - 4. Let n be b(3). What is the remainder when (-14)\/(-35) - 736\/n is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 25*u**2 - 1926985*u + 770790 = 0.\nAnswer: 2\/5, 77079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p + 60. Let l be w(-11). Solve 4*i - 1 + l = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*s + 13, s = 2 + 1. Let t(h) = -8*h**3 + 2*h**2 + 3*h. Let g be t(d). Find the third derivative of 16*p**2 - g*p**6 + 35*p**6 + 2*p**2 wrt p.\nAnswer: 3360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 15317 = 64*b - 15517 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527, -2010, -4447, -7838, -12183, -17482?\nAnswer: -23735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + a + 2 - 3 + (0*a - 2*a + a)*(0 + 3 + 0) to t*a + y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400711.9 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -13042?\nAnswer: 2\/6521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:58 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 2*sqrt(117).\nAnswer: 4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1240?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54d (base 14) to base 5.\nAnswer: -13144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2736700 and 2900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97527, 390125, 877789, 1560519, 2438315?\n\"Answer: 97533*w**2 - w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15837767*h**5 - 796595*h?\nAnswer: -316755340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*f + 50 = 262*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 882, 1957, 3460, 5391, 7750, 10537?\nAnswer: 13752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = q, -3*q + 2*c - 8 = q. Is q - -1 - (-149 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 609*r**5\/20 + r**4\/12 - 128*r**3 + 3*r + 4. Find the second derivative of v(d) wrt d.\nAnswer: 3654*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmmkpmmmmlmmmcmppm. What is prob of sequence pmp?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002905815935 rounded to 6 dps?\nAnswer: -0.002906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 563 in 0, -0.3, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**7\/210 - z**4\/24 - z**2\/2 - 2. Let l(w) be the second derivative of r(w). What is the second derivative of l(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -2\/7 (c) -0.2 (d) 34.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78952982 + 78953536.00009. Let m = x - 554. Round m to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599821 is divided by 54341?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/78750*30)\/((1\/(-18))\/((-6)\/(-9))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -602842365223.\nAnswer: -602842365231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4080 is divided by 313.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012461062 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 40?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146144439 by 3.\nAnswer: 48714813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37969*p - 79373*p + 14268*p - 12844*p.\nAnswer: -115918*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9540.2ml to litres.\nAnswer: 9.5402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/10)\/(20\/10*(-4)\/840*7).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 12*k + 16. Let r be b(-11). Suppose r*c - 2*c = -32100. What is c rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002782 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 542 and 30.\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1086 + 667. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + 1*sqrt(175)) + (3*(1 + sqrt(162) + sqrt(162)))**2 + 5.\nAnswer: 1945*sqrt(2)\/6 + 5846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(-1)\/8)\/(-1). Let j = 0.016 + -2.016. Which is the closest to -0.1? (a) 1\/3 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/11 - 74*h\/11 - 73\/11 = 0 for h.\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - m**4 + 21*m**4 + (-9*m**2 + 9*m**2 + 17*m**2)*(2*m**2 - 2*m**2 - 2*m**2).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*(-8)\/(-20)*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -27 - (-1764)\/(-595))\/((-144)\/(-160))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1233 = 146*u + 3525 + 3696 + 14 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h - y, -2*h - 13 = -y + 6*y. Suppose 55 = -3*w + r, -3*w - 4*r - 47 = -12. Let a = h - w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - ((2 - -3) + (-43 - 1)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(2*r + 0 + 0)*(-1 - 10 + 0) + (r - r + r)*(0 + 2 - 4).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, o: 5, k: 3}. Give prob of picking 3 o and 1 k.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 18 = 4*w, 2*t = 4*w - t - 14. Suppose -5*m = w*c - 40, -m = -9*c + 4*c + 46. Is 8 a factor of 0 - 6\/c - 1492\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((3480\/(-312))\/29)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/42)\/(580\/(-1566)*(-8)\/(-96)*-9)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 98?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*z - 15 - 77. Solve -s + 3 = -4*s, z*d + 2*s + 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 57*q - 45. Let u be p(-18). Sort 0, -4, u, -2 in increasing order.\nAnswer: -4, -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(3) + -2 + sqrt(3)))**2.\nAnswer: -432*sqrt(3) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {m: 3, j: 1, u: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*p - 36 = -278*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16.685 * 0.3\nAnswer: -5.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/72 and 125\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**4 + 25964233*s**3 - 39710*s**2 - 109*s wrt s?\nAnswer: -48*s + 155785398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = h - 5*t - 0*t, 2*h - 12 = t. Let z = -2741\/3 - -915. Solve 1\/3*b**5 + 0*b + 0*b**2 + 0 + z*b**h + 4\/3*b**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o - 54. Suppose -2*q = 4*s + 32, 2*q - 12 = 4*q - s. Let b be g(q). Solve -2*z = -y + 10, -b*z + 6*z - 4*y + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 2*n + 0*n + 2*n + 1. Suppose 3*g = -6, 5*g = -4*y - 27 - 3. What are the prime factors of o(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1. Let c(r) = r**2 - 43*r + 2. What is -c(q) - p(q)?\nAnswer: -q**2 + 42*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from ayajcaz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002801 to 5 decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-270)\/4)\/9*1384\/10. Let v be (b\/15)\/((-16)\/20 + 2). Is v at most as big as -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 8*b - 29*n + 43 = 0, -b = 5*n - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**17)**(-1\/29)*((a*a**0*a*a*a)\/a*a**5*a)\/(a**(-5)\/(a*a*((a\/a**(-1\/11))\/a)\/a)) assuming a is positive.\nAnswer: a**(14068\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 5. Let c(x) = 6*x - 7. Let u(s) = -5*c(s) - 7*z(s). Let g = 9 - 7. Let y(q) = -q**2 + g*q**2 - 1 + 1. Calculate y(u(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 43230*j**2 + 866100*j - 4333000 = 0 for j.\nAnswer: -8666, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzwxqwewqpwqwwwe. Give prob of sequence wpx.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 + -207. Let o be 2 + (t\/10 - 18\/(-30)). Let f be ((-1)\/2)\/(17\/(-2)). Is f not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 4*f**3 + 3*f**3 - 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 8*y**2 + 12*y + 2. Give v(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(288) - (sqrt(288) + -2*sqrt(288)))*-3 - 4*1*sqrt(242)).\nAnswer: -348*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*k - 104*k - 2136 = 0. List the prime factors of k.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*l - 11 = -l, 3*l = 3*w - 12. Let r be 3 + -2 + (-4)\/4. Let k = r + -2. Which is bigger: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1633 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.248988 kilometers to meters.\nAnswer: 248.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2951*t + 745. Let s be g(11). Let v(f) = 7708*f**2 + 7*f + 6. Let j be v(-4). Let d = j - s. What is d rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6668 or 6672?\nAnswer: 6668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -57*x + x**3 + 127*x**2 + 19 + 9 - 143*x**2. Is q(19) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -22, -40, -62?\n\"Answer: -2*g**2 - 8*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 19*x**2 + 11*x + 18. Let t be n(17). Let q = t + 692. List the prime factors of q.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*v + 17, 5*g - 20*v = -15*v - 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529208 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14054 rounded to the nearest one hundred?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 60. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -410 - -415. Suppose 3*x - 1735 = -h - 614, x - 5591 = -z*h. Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-19 - 5 - -43).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6, -2 = 4*y - 3*r - 16. Find the third derivative of s**2 + 14*s**2 + 58*s**4 + 3*s**y + 7*s**4 wrt s.\nAnswer: 1560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 618\/7 - 88. Let t = 0.6 + -1. Let d = t - 4.6. Which is the nearest to 2? (a) d (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 4.068722.\nAnswer: 4.068722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 1604\/11*g - 2\/11*g**2 - 321602\/11 = 0.\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/5)*k*k**(-1))\/(k*k**(-6)*k\/((k**(-3)\/k)\/k)*k) assuming k is positive.\nAnswer: k**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 divided by -1?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 30, 49, 70, 93, 118, 145?\n\"Answer: s**2 + 14*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3.9?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let u(n) = 4 + 15*n - 9*n - 4 + 8*n - 5. Give 4*i(o) + u(o).\nAnswer: 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 132135, 0.\nAnswer: 0, 4, 5, 132135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 + 1 = 0. Suppose 34 = 2*j + y*t, 71 = 5*j + 3*t + t. What is the smallest common multiple of j and 17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5177021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w + 35 = 0. Let z = w + -8. Let k = 67 + z. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28943 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {q: 2, d: 2, x: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/(6\/(-32)). Let x be 2\/(-1 + -1) - -3. Suppose -4*t - 4 = x*m + m, -t = -2*m - 10. What is the highest common divisor of o and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 191 - 171 = -3*n, 12 = -3*n + 3*r for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 + 36c6e?\nAnswer: 36ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1994269, 1994700, 1995133, 1995568, 1996005, 1996444, 1996885?\n\"Answer: o**2 + 428*o + 1993840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d**2 - 5. Let b be i(0). Let y(o) = o**3 - 2*o**2 - 2*o - 2. Let x be y(3). Let z be x + 2 - 1\/1. Sort b, 3, z in descending order.\nAnswer: 3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/62591413 or 0?\nAnswer: 1\/62591413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhxhxxh. Give prob of sequence xhx.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/288 and -109\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 96. Let m(i) = -4*i + 19. Let k(d) = 15*d - 77. Let g(q) = c*k(q) - 9*m(q). Let x be g(9). What is the greatest common divisor of 185 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12002420 and -36\/3000605.\nAnswer: 12002420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-34) - ((-160)\/(-85) - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**9\/10080 - l**7\/840 + l**5\/80 - 3*l**4\/4 + 3*l. Let a(z) be the third derivative of y(z). Let a(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1163\/7 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7998 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 + 5644*r - 68304 = 0. What is r?\nAnswer: -1423, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 5*t - 2*t + 2. Let y(u) = u - 1. Let a(f) = x(f) - 6*y(f). Let j be a(-8). Solve j = -b - 0 + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*j*z**3 - 878240*j*z**2 - 7*j*z + 4*j + 8131*z + 3 wrt z.\nAnswer: 78*j*z - 1756480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 4, v: 5, a: 5}. What is prob of sequence auaa?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*b - 4 + 22, 3*b + 5*a + 1 = 0. Suppose 5*h = -f + h - 10, 2*f - b*h = 13. Let u be 1\/(f - -1)*21. Solve 4*t + u = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(22\/8290) - 114\/(-627) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - -14) + 4*2. Let d(n) = 22*n - 11. List the prime factors of d(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 4*y - 2*a + 3, -4*y + 4*a - 36 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 = -4*s - 12, 4*y - 12 = s. Suppose s*p - 1200 = 4*p. Let c = -133 - p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o**2 - 1210*o + 330. What is w(-74)?\nAnswer: -3222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -12*q + b, 1133*q - 5*b + 161 = 1131*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**3 + 0 - 1\/12*w**4 + 2*w + 0*w**2. Let f(g) be the second derivative of -g**4\/6 - 3*g. Calculate k(f(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 82*j**2. Let v(i) = -49 + i**2 + 23 + 26. Give l(v(s)).\nAnswer: 82*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*t**4 + 2314*t**2 + 19293*t + 9?\nAnswer: 336*t**2 + 4628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 - 4 = 0. Let q be 6\/4*2\/r. Solve -8 - 23 = 5*o + q*b, -3*b - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -383 and -0.1.\nAnswer: 38.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1732261, 3464509, 5196757, 6929005, 8661253?\nAnswer: 10393501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**4 + 12 - 24*y**4 - 3*y**2 + 16*y**4 - 3*y**3 + y**4 to j*y**4 + v*y**2 + n + r*y + w*y**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 238*z**2. Let w(b) be the first derivative of -b**2\/2 + 817. Give w(g(d)).\nAnswer: -238*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/(-12))\/(46\/(-184))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2\/3 - 92*i\/3 - 56 = 0. What is i?\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x - 6 = 0. Let y be x\/3 - (-32)\/(-12). Let h be y\/(4\/3)*-12. Solve -3*n + h = 3*b, 2*n - 5 = 6*b - b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -5.35.\nAnswer: -2.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w - 9. Give s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 268*x**3 + 198*x**2 - 8. Let r(a) = -1339*a**3 - 993*a**2 + 44. Let y(u) = -33*f(u) - 6*r(u). Find the third derivative of y(o) wrt o.\nAnswer: -4860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03954 * 0.14.\nAnswer: 0.0055356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/45 - ((-783220)\/356600 - (0 + -2)) and 21\/10.\nAnswer: 17830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101110110001100?\nAnswer: -101110110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Suppose 0 = 2*i + g - 5, -246*i = -243*i - g + 10. Let u(n) = -2*n + 11. Calculate i*u(y) - 6*p(y).\nAnswer: -4*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 7*s - 36. Suppose -s*t = -0*t - 16. Suppose -d - 106 = -4*l + 55, 0 = t*d + 4. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3691+-4\nAnswer: -3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.015, -5, -2 in descending order.\nAnswer: -0.015, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/5 + 528*h**4 - 801548*h**3\/5 - 9357648*h**2 - 9196810*h = 0. Calculate h.\nAnswer: -49, -1, 0, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702971 and 4757?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 1. Let p be c + -1 + -2 + 1. Let w = -4 - p. Put w, 2, -4 in descending order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 equal to -8328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143048 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 49 = -2*z + 2*i, -3*i - 46 = z. Let g = 73 - z. What is the greatest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j - 1)*((7 + 8 - 2)*(-7 - 39 + 5) - 2 - 4 + 2).\nAnswer: 1074*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49237591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1) + -2 - -2. Suppose -r + m = -2. Suppose 5*q - 8 = r*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656368 + 94456 = -52*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-24))\/j)\/j**(-14))**(2\/57) assuming j is positive.\nAnswer: j**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8133910 and 572784.\nAnswer: 8706694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -3.5. Let d = -0.3 + -0.2. Which is the closest to 0.1? (a) t (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 723680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380623 is divided by 4699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**45*(h*h**(1\/2)\/h)**(-2\/11)*((h*h**3)**(1\/5))**14 assuming h is positive.\nAnswer: h**(611\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/(-15))\/((-5)\/(-141750)*-2). Round b to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2846*d. Let c(i) = -i**2. What is c(p(v))?\nAnswer: -8099716*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 129654 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 5, 2, -2 in decreasing order.\nAnswer: 5, 2, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and -63.792.\nAnswer: -15.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 765 + -767. What is the third smallest value in 0, 2\/3, v, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19028 + -12415. Does 94 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12103 - -22?\nAnswer: 12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 107773 + -64078\nAnswer: 43695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/10)\/(1\/8). Suppose -21 = -j*x + x. Let d(q) = 20*q + 4. Let f be d(x). What is the highest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1343 + 1365. What is the highest common factor of 583 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) -22595 (b) 1\/2 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687054 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051485?\nAnswer: 3, 5, 70099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/15)\/(5\/(-3))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-5 + sqrt(162) + 0))**2 + 0)*4.\nAnswer: -3240*sqrt(2) + 6732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1022.000002014 - 1022. Round m to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 434\/6*1\/(-2). Let r = a - -36. Let f = 0.023872 - 0.523872. What is the biggest value in r, 4, f, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18 - 2*y**3 - 4*y**3 - 5*y**3 + 2*y wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13545307.48 + -0.04?\nAnswer: 13545307.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 577015*b**2*c**3 + 1606*b**2*c**2 - 3*b**2*c + 2*b**2 - 22*b*c**6 - b*c**2 + 7*c wrt c?\nAnswer: 3462090*b**2 - 2640*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + a - 155, a - 2*a + 208 = -4*w. Let c = 31 - -25. Let u = c + w. Solve 2 + 1 = -u*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d907c (base 14) to base 4\nAnswer: 10003102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5880\/735*(-6)\/(-30)*2?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 106, 108, 108, 106?\n\"Answer: -i**2 + 5*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + -1) - (24 - 26 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3836, 15373, 34606, 61535, 96160, 138481?\nAnswer: 188498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -22. Let z(p) = -8*p - 3 - p**2 + 38*p - 13*p - 13*p. Let t be z(x). What is t rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.913821 millilitres to litres.\nAnswer: 0.004913821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11957 is divided by 703.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Let m(g) = 0 + n + 2 - 4. Let z(b) = -b**2 - 3. Calculate -3*m(a) + 2*z(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -11. Let v = -2.358 - -0.058. Let z = 0.7 - v. Sort z, l, -3.\nAnswer: l, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**5 + 5*o + 4. Let s(h) = -3*h**5 + 5*h + 5. Let t(p) = 4*s(p) - 5*u(p). Find the second derivative of t(x) wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 4*m - 7. Let u be x(6). Let t be (-1 + 2)\/((-1)\/1). Let n = -1 - t. Sort -2, n, u.\nAnswer: -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 781, 741, 665, 541?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/232 and 45\/57101.\nAnswer: 456808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -5 - (9 + 0)\/3. Let l be ((-6)\/(-9) + 2)*-3. Is l less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2*i**2 + 6*i**2 + 2*i**2. Let m(z) be the second derivative of 27*z + 1\/6*z**3 + 0 + 0*z**2. Calculate m(b(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -319\/18 - -35\/2. Let u = 0.5 + 1.5. Which is the smallest value? (a) u (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9770 + -9036. Calculate the remainder when a is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrsl when four letters picked without replacement from lsssrsrl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 2 (c) -21 (d) -1\/9 (e) -4 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-8))\/(33\/(-330))*(-9)\/(-90). Let a = 2 + -2.5. Put s, -0.2, a, 1\/5 in decreasing order.\nAnswer: s, 1\/5, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 7903.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 14*l**2 + 47*l - 11. Determine a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23280, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-seven fifths of a hour?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82774022, -331096083, -744966186, -1324384331, -2069350518, -2979864747, -4055927018?\n\"Answer: -82774021*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -16. Solve -3*t - k = -8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:56 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1387447836 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 751679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w**2 - 4 + 4)*((6*w - 3*w + 5*w)*(-2 + 3 + 1) + (-2 + 2 + 2*w)*(-3 - 3 + 3)).\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -0.44, -1\/4, 220?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*i, 2*i - 8 = g + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 0.03, 4, -1, -5 in decreasing order.\nAnswer: 4, 1.5, 0.03, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/56*-2*(-95 - 1397\/(-15)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbzzzoszssasz. Give prob of sequence szoz.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**3 - 10*o + 4*o - 73*o**3 - 54*o**3.\nAnswer: -100*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.97 + 0.03. Let j(l) = 4*l**2 + 2023*l + 2022. Let n be j(-1). What is the nearest to o in 5, -3, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194525, 194532, 194539, 194546?\nAnswer: 194553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4\/3 (b) 0 (c) 0.3 (d) 11.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584) + -2*sqrt(1584))) + -3 - sqrt(1584)) + (-4 + sqrt(1584) + 1 + sqrt(1584))**2.\nAnswer: -132*sqrt(11) + 6342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 36. Let a be s(4). Suppose 19*h - 15*h = a. Solve 6*m = h*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/30 - 13\/(-5). Suppose 0 = -4*u + k + k + 44, 3*k - 4 = -u. Let s = a + u. What is the remainder when 37 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 44*n**2 - 130*n - 1352 = 0.\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/13))**(3\/8)\/(f**(8\/5))**(1\/38))**(-47) assuming f is positive.\nAnswer: f**(-181373\/9880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -12. Let k(v) be the first derivative of v**h - 2 + 1 - v**3 - v**3 - 3*v. Find the first derivative of k(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7*l. Let v(g) = g**3 + 4*g. Let d = -74 - -79. Let n be 22\/(-5) + d\/(125\/10). Calculate n*t(j) - 7*v(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -378186 divided by -9\nAnswer: 126062\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - -1) + -3 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a millennium in years?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-24)\/(-20)*-5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.2, 0.5 in descending order.\nAnswer: 6, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 6*v + 2*v + 7 = -2*v, 0 = -4*y + 16*v - 271 + 35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v + 3. Is t(9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 29*i + 66*i = 24*i + 5*w + 64, 0 = -2*i - 14*w - 16 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12234404 (base 5) in base 16?\nAnswer: 1cd58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 24064014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1721579*h - 3306 = 1721637*h for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 - 5*j + 3. Let k(p) = 4*p + p**2 - 8*p + 1 + 1. Let b = -7 + 9. Calculate b*z(i) - 3*k(i).\nAnswer: 2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b + 1. Let d(z) = 40*z**4 - z**3 + 3*z**2 - 3*z - 75. Let s(t) = -d(t) - l(t). What is the second derivative of s(c) wrt c?\nAnswer: -480*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 3*q + 1. Let j be u(4). Suppose -2*z + j*z = 3. Let w be 0*z\/(2 + -4). Solve 2*t - 25 = -3*t, w = 2*i - t - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38037.44 millilitres to litres.\nAnswer: 38.03744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41183, 82371, 123561, 164753, 205947, 247143?\n\"Answer: l**2 + 41185*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95818 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + l - 3 = 0, 0 = 2*q - 3*q - 2*l - 3. Let w be (-8)\/(-3)*q\/(-4). What is the third biggest value in -0.2, 4, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.047, 2\/7, 0 in increasing order.\nAnswer: -0.047, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2178) - sqrt(2178)*-3*5) + 3)*-6)**2.\nAnswer: 114048*sqrt(2) + 20072772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -29*o + 75 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 546046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 + 2*h**2)*(0 - h**2 + 0) - 21 + 22 + 421*h**4 + 195*h**4.\nAnswer: 614*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/54*258\/((-1763)\/(-41)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and -30\/4081.\nAnswer: 8162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1245 and 73860?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6631584, 3\/4, -0.5.\nAnswer: -6631584, -0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(405)*-1*4*-2.\nAnswer: 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/9)\/j)\/j)\/j*j*(j*j**(-1\/3)*j)\/j*j*j assuming j is positive.\nAnswer: j**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 85*b**2 - 1768*b + 92. Determine t(-48).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27063*n**3 + 3*n - 3271 wrt n.\nAnswer: -162378*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - 65. Suppose 1 = -4*v + h. Suppose r - 13 = -5*b, -4*r + 109 = r + 3*b. What is the remainder when r is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92300 divided by -3550.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t**2 - 13*t. Let x(m) be the third derivative of -9 + 0*m**3 + 1\/12*m**5 + 7\/24*m**4 + 0*m - 2*m**2. Determine 4*g(q) + 7*x(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 845976389 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 2 x when four letters picked without replacement from ogogoxssxsgsgxxxxuxo?\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -884 - -890. Solve z*b - 98 = 20*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.4 + -51. Which is the second smallest value? (a) q (b) -2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, y: 4, m: 2, a: 8}. What is prob of sequence maa?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11364000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u**2 + 11*u - 2. Let n be d(-4). Solve -3*q = n*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792415 - 40774677?\nAnswer: -38982262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -817378 divided by 5.\nAnswer: -817378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.023 + 0.177. Let l be (-2)\/3 + (-84)\/(-99). Which is the nearest to 3? (a) -5 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (37596 + -46 + 27)\/(1\/2*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 28 = -3*s. Suppose f - 8 = -s. Find the first derivative of f - 4 + 9 - 18*j**4 wrt j.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from ssaaassaassss?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2611561 - 2?\nAnswer: 2611557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 699*t - 202*t**3 + 1797*t - t**2 + 201*t**3 to a + y*t + h*t**2 + b*t**3 and give y.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -210. What is the remainder when q is divided by (12\/21*6)\/((-2)\/(-14))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*a = 16 + 12, 0 = -5*a - 5. Let j(m) = m**2 - 9*m + 5. What is the remainder when q is divided by j(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (10 - (-6 - 3)) + (-1 - (4 + -3))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429453 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: Which is the nearest to 0.29? (a) -2\/9 (b) -9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 14*r + 166. Let b(f) = -2*f**2 + 8*f + 84. Determine -7*b(i) + 4*s(i).\nAnswer: 6*i**2 + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.67767624 + 0.9249.\nAnswer: 24.60257624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.930684 millennia to decades.\nAnswer: 693.0684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511 (base 8) to base 6.\nAnswer: -1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cggcgggg. What is prob of picking 2 c and 1 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68) - (sqrt(204) + sqrt(204) + sqrt(204)*-2 + sqrt(204))\/sqrt(12))**2 + sqrt(102)\/((sqrt(12)*2)\/sqrt(2)).\nAnswer: sqrt(17)\/2 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -59*u - 342. What is the least common multiple of 6 and t(-14)?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-264) - 183\/(-671).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - 106*q + 44*q + 25*q + 24*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15708384 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -r. Let b be (5 - 4)\/(r\/3). Let j = 6 + b. Solve j = -a + 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 10:18 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 11:29 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*-2*sqrt(847) - (sqrt(847) + 1*sqrt(847)*6)))**2.\nAnswer: 2751903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 272*c - 7. Is j(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 40*f - 43*f = 50338, -40269 = 4*s + f. Let r = 26614 + s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -88 + 43 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-822)\/(-5206)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 32*q**2 + 247*q + 5. Let x be k(19). Solve 115 = x*p + 95 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 64*h - 389. Let u be s(6). Let m(d) = 5*d - 1. Let n be m(-1). Let r be (n\/u)\/((-3)\/(-280)). Calculate the greatest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21138.999961595 - 21139. What is g rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = -4*h, 2*h + 2*w = -h + 12. Let j be 4\/(-16) + 17\/h. Suppose 3*n + 0*z - j*z - 22 = 0, 0 = 3*n + 2*z + 2. Solve 2 = n*a - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + n + 25, -2*n - 22 + 0 = 4*s. Suppose 4*d = d + 36. Let y = s + d. Solve u = 4*j + 10, -3*u + u = -y*j - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 2*y**2 - 4*y - 4. Let q(j) = -6*j - 1. Let h be q(-1). Suppose 0 = 3*r - 5*z + 19, z - 1 = -2*r - h. Determine t(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 7) to base 14\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 26 - 8*c + 10 + 0*c.\nAnswer: -2*c + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/2 + 63*s**3\/2 + 228*s**2 + 630*s + 432 = 0?\nAnswer: -8, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = -3*a. Let g = -2 - a. Solve r - g = -4*l + l, -5*l - 4 = -2*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-21)\/(-154)*4\/(-6)*-13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.8001273 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/11377?\nAnswer: -3\/11377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + sqrt(931)*-1 - (-5 + sqrt(95)\/sqrt(5)).\nAnswer: -sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 85479*d. Let j(k) = -12*k. Calculate j(b(h)).\nAnswer: -1025748*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -8. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4 + 39\/(-741)*-247. Let d(p) be the first derivative of h*p**2 + 0*p - 29 - 38\/3*p**3. What is the second derivative of d(k) wrt k?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 48789*j**3 - 48791*j**3 + 124.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14640\/288)\/61*6\/(-160)*3.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11545 + -7367. Are 16713\/4 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198465?\nAnswer: 3, 5, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let u(y) = -7*y + 4. Let p(k) = 6*k - 3. Let l(b) = -4*p(b) - 3*u(b). Suppose 22155*z + 368 = 21971*z. What is z*l(f) - 6*g(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 90 - 35 - 35 - 20. Let r(b) = -15*b - 2. What is r(v(f))?\nAnswer: 45*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 + 7*h + 13. Let m be v(-4). Suppose 3*r = 6*r + 15, 18 = z - 3*r. Let c be m + 6\/z*1. Solve c*g = 10 + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47755285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 187\/3. Let g = 0 - x. Suppose 2*j - j - 2 = u, -u + 6 = -5*j. What is the closest to -0.1 in 0.4, u, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*m**3 + 134*m**3 + 273*m**3.\nAnswer: 268*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027599 rounded to 4 dps?\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(80))*-5 + -4 + 2*(sqrt(80) - (3*sqrt(80)*1 + sqrt(80))))**2.\nAnswer: -88*sqrt(5) + 9681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -144568820 divided by 2?\nAnswer: -72284410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23083414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) 5 (c) -2611 (d) -25\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2236379 times -0.086\nAnswer: 0.0192328594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -331771950, -663543909, -995315870, -1327087833?\n\"Answer: -d**2 - 331771956*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4 + 2*m**2 + 19*m - 3 - 13 - 4. Let t be s(-17). Suppose 2*l = -2*k + 383 + t, 921 = 3*l - 3*k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 7*o + 33. Let x be m(8). Let r(g) = g**2 + 4*g + 3. Let n be r(-6). Calculate the highest common factor of x and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -k - 173. Let u(p) = -255*p**2 + 128*p**2 + 129*p**k. Let d(v) = -134*v. Determine u(d(h)).\nAnswer: 35912*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-3 - 20\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**3\/3 + 17*r**2\/2 - 8. Let j be z(15). Suppose -4*q + j = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059.8 minus 0.3?\nAnswer: 1059.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 804 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159591844?\nAnswer: 2, 31, 41, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-14 + 26 - -1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 2, w: 2, c: 1, k: 1}. Give prob of sequence ks.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1358, 2273, 3174, 4055, 4910, 5733, 6518?\nAnswer: 7259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*3\/9*3. Suppose v = -5*c + 10 + 5. What is u in 3*u**3 + 2*u**2 - 2*u - 5*u**c + 2*u = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 14*h + 14*h + 2*h - 31*h. Let u(c) = 48*c**2 - 18*c - 3. Let a(t) = -t**2 + t. Let o(q) = -18*a(q) - u(q). Give v(o(w)).\nAnswer: -60*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*u**3 - 133*u**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let x be (j\/(-18))\/(4\/(-16)). What is the third smallest value in x, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by 19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 0, -6 + 3 = -u - 2*i. Sort 2, 0, u.\nAnswer: 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 4*u**2 - 6*u - 7. Let n be 0*(-2 + 1)\/2. Let t = -1453 + 1460. Suppose 2*i + t + 3 = n. Give v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 67*q**2 + 37*q + 102. Let a be p(-34). Which is bigger: a or -3\/478?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 27 = 37. Solve -6*m + 4 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4845145 divided by -5\nAnswer: -969029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4)*-4)\/((-120)\/48).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3712 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1604, 1699, 1794?\nAnswer: 1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-370))\/((5\/(-3))\/((-3650)\/438))\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249 or 247?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 2*b**7\/35 + b**3\/6 + 15*b**2. What is the first derivative of u(q) wrt q?\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 x when four letters picked without replacement from {x: 9, k: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4404235 + 3?\nAnswer: 4404242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -15*c + 12. Calculate the greatest common factor of 52 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*20\/140*3*(-1)\/51.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 124?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4 + sqrt(343) - sqrt(343))**2 + 1 + -1 + -1 + sqrt(343) + 0 + 2*sqrt(343)*-4)*2.\nAnswer: -98*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3773832 is divided by 16698?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69 - 50 + 103)*(r**2 + 4*r**2 + 8*r**2) to the form m*r + f*r**2 + t and give f.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -q + 30 - 35, 6 = -3*p. Put q, 1, -14 in increasing order.\nAnswer: -14, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318157 - 155598. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let y = 4 + 1. Find the second derivative of y*i - 7*i + 2*i**2 + k*i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**2 - 19*b - 31. Let p(i) = -4*i**2 - 9*i - 14. Give -3*o(y) + 7*p(y).\nAnswer: -y**2 - 6*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 9. Suppose 0 = t - 2*t. Suppose t = -n + 2*n - 5. Sort n, h, 4 in ascending order.\nAnswer: h, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, y: 2, w: 7}. What is prob of picking 1 k and 2 y?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 150?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 1. List the prime factors of (f\/(2\/12))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 109. Let n(c) = -c**2 + 51. Calculate n(f(w)).\nAnswer: -16*w**2 - 872*w - 11830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1101 and 71\/2936?\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - w - 2 = 1, -2*f - 2*w + 2 = 0. Suppose -5*u + 126 = -f*u. Does 2 divide u\/(-24)*(-4 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffl when three letters picked without replacement from fofffezezzerlef?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 2, -3, -1, 1115 in increasing order.\nAnswer: -10, -3, -1, 2, 4, 1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:37 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -772300 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.4 and -1767.6.\nAnswer: -7777.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -31, -16, -1, 14, 29?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15634 - 0.1014. Let k = j + -0.0466. What is k rounded to 4 decimal places?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82\/145 - -1\/29. What is the closest to h in -0.1, -0.2, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -5, 0.92, -17, -1\/9, -7.1 in descending order.\nAnswer: 0.92, -1\/9, -5, -7.1, -17, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c + 154 = 30*c - a, 0 = 17*c - 16*c + 4*a + 46 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 10, -543301?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -5*c + 3*q - 15, 0 = -4*c - q + 3. Suppose 0*r - 10 = -c*r. Suppose -r*y - 20 = -200. Calculate the remainder when y is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14495269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4598) + (sqrt(4598) - (sqrt(4598) + sqrt(4598) + (sqrt(4598) + 2*sqrt(4598) + sqrt(4598) - sqrt(4598)))) + sqrt(38))\/sqrt(2) + 0.\nAnswer: -32*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by (-1 - (1 - -3)) + 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14282233.8 - -0.4\nAnswer: 14282234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 34. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -17*y**5\/60 + 16*y**2 + 20*y. Let s(h) = 3*h. Give s(u(w)).\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*r - 109 = 0, 5*s = 5*r - 65 + 630. Suppose -2*o + s = 3*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 27 = -u + y, -u = 4*y - 32. Suppose -14*i = -u*i - 20. Let o = i + -7. Solve -p + 3*p + 29 = -5*j, o*j = -5*p - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d - 3*d**2 + 8*d + 4*d**2 + 6*d**3 - 2506 - 19*d + 14*d**3 wrt d.\nAnswer: 60*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -f59?\nAnswer: f63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0239 - 4\nAnswer: -4.0239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h + 509. Determine k(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 4*t + 5. Let m = 23 - 10. Suppose 2*x + m = 5. What is q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n - 2*n - 1 + (0 - 3 + 1)*(-n + 1 - 1) - 9*n - 2*n + 4*n + (-3 + 0 + 4)*(0*n + 4*n - 2*n) as h + v*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2288 = 6*f - 6268. What is the remainder when f is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:11 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t - 1142 + 1143 + 95*t.\nAnswer: 25*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 971308.5 kilograms?\nAnswer: 971308500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 7. Let c be q(6). Suppose 2*f = c*v - 18, -3*f + 27 = 4*v + 8. Solve 0 = -d - 2*a + f, -d + 3*a + a + 13 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2795 divide 26613990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -7. Let z(w) = -w**2 - 7*w - 5. Let d be z(c). Let j(s) = 10*s**2. Is 6 a factor of j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13753436 + -55.\nAnswer: 13753381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2)\/((-19)\/(-5) + -4). Suppose 6*r = 5*r - s + 4538, -2*s = -o*r + 22704. What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13234 = -494*f + 69*f - 84*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21358203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -52. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125726203*a**2*f**3 + 156*a**2 + a*f**3 - 152534*f**2 wrt f.\nAnswer: -754357218*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -18*57\/345. Let d = -12272\/1265 + h. Let z = 98\/11 + d. What is the nearest to 1 in -2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3636\/514 - (-56)\/(-8))*(-8)\/(-76).\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5 + 1683\/165. Let r(j) = j**2 - 12*j + 30. Give r(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1494, 1782, 2498, 3834, 5982, 9134, 13482, 19218?\n\"Answer: 32*q**3 + 22*q**2 - 2*q + 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(-9 + 0 + 25 + 3*s) + (0 + 2 - 1)*(-2*s - s + 2*s) to the form v*s + p and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2997 + 30a?\nAnswer: 31a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17345.\nAnswer: 5, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(-1\/5)*u**(-5)*u**7\/u*u*u\/((u\/(((u**(1\/4)\/u)\/u)\/u)*u)\/u) assuming u is positive.\nAnswer: u**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 860 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46120470 and 660?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.003 - 23.997. Let o = q - -24.5. Let t = 28 - 85\/3. Which is the closest to o? (a) -4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (1\/(-2) - (4081\/(-70))\/(-11)). Which is the smallest value? (a) f (b) 0.5 (c) -3\/8 (d) -0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2576 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -4950?\nAnswer: 4951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/4)\/((-15)\/40). Suppose v + 5*r + 11 = 0, -17 = -j*v + v - r. Let i(h) = -h**2 + 2. Let f be i(0). Solve f = y + v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 - ((-10)\/(-40) + (-11)\/(-4)). Solve o = -3*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2505, -5012, -7519, -10026, -12533?\nAnswer: -15040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222424131 (base 5) to base 2.\nAnswer: -11110000000000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**27*(y\/y**(-3\/16))\/y assuming y is positive.\nAnswer: y**(435\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**2 - 37*n**2 + 12*n + 20*n**2 = 0. What is n?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 2039180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41828 or 41435?\nAnswer: 41828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v**2 + 0*v - 13\/2*v**4 + 5*v**3 + 13. Find the third derivative of m(z) wrt z.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432*44.\nAnswer: -19008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 6. Let v(j) = 3*j**3 - 42*j**2 + 7*j - 33. Let c be v(14). Let y(w) = -55*w - 65. Give c*g(m) - 6*y(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/43 and 25\/563859?\nAnswer: 563859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 + 3*m**3 + 2 + 2*m**3 + 3*m**2 - 2*m. Let v be d(2). Let n = -90 - -88. Sort v, 0, n in ascending order.\nAnswer: v, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqq when three letters picked without replacement from kkkkkkqq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**2 + 16*v**2 - 4*v**2 - 2*v - 2*v**2 - v**4 - 2*v**3 to y*v**3 + k*v + w*v**4 + d + s*v**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16127 - 16126 + 5*n - 2*n**4 + 11*n**4 to z + y*n**2 + r*n**4 + u*n**3 + o*n and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 + -11001100?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 1, e: 1, b: 3, y: 3, j: 1, r: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 22*q**2 + q + 12. Let x be p(-9). Let w = 1675 - x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430705 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 4*c + 2*u + 19, -2 = -4*c - 5*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525300?\nAnswer: 2, 3, 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-118)\/354 + (-490)\/24 and 3\/(3*42\/153)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 = 10*j + 97*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/(-75)*(-5)\/(-3). What is the second biggest value in y, 1\/2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0.5 (c) -0.3 (d) 38 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33784773.\nAnswer: 3, 11, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -4*k + 3*b, 4*b - 102 = -2*k - k. Let d(j) = -22*j - 14. Let u be d(-3). Let m = u - k. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -144. Let m = o - 41. Let b be (-3 - 1) + (-5)\/(15\/(-48)). Solve -4*x - m = -3*w, -w + x + b = -x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + 208 + -90 + (16 + 1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66901690 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-41)\/(-984))\/(2\/(-224)*2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3141*n**3 + 2*n**2 - 2*n. Let b(g) = -15700*g**3 + 11*g**2 - 11*g. Give -2*b(d) + 11*i(d).\nAnswer: -3151*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52321709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*w**5\/3 - 6466*w**4\/3 + 378*w**3.\nAnswer: -2*w**3*(w + 81)*(40*w - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) 8 (d) 21.9 (e) 13\/6 (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81100, -81099, -81098?\n\"Answer: m - 81101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.3, -4, -41.9, 5, 2.5 in descending order.\nAnswer: 5, 2.5, 1\/3, 0.3, -4, -41.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}