diff --git "a/data/dm_maths/full_data_1/2009_11255.jsonl" "b/data/dm_maths/full_data_1/2009_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2009_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -n = -5*z + 135, 4*z = 17*n - 21*n + 108. Suppose 0 = -5*r + 4*v + 183, 0 = -20*r + 21*r - 4*v - z. What is the highest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r**4 + 20*r**3 - 4*r**2 - 20*r. Let n(u) = u**4 - u**3 + u. Let z = 0 - -1. Let i(c) = z*w(c) + 20*n(c). Find the third derivative of i(h) wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 + 8*r**2 + 50*r**4 + 40 - 61*r + 95*r - 54*r - 98*r**2 + 15*r**5 + 6*r**3 = 0. What is r?\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-3) + 1 + -1. Let g = 5 + b. Solve -v + 6*v - 4*l - 31 = g, 3*v - 3*l = 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 14*p - 14*p + 1 + 2*p**3 as u*p**2 + x*p**3 + a*p + d and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16933, -33861, -50789, -67717?\nAnswer: -84645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 80 + l**2 - 142 - 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 22 = -14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (17143\/(-21) - 5)\/((-3)\/9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times 928?\nAnswer: -1763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - -30. Let n be 34\/f*2\/(-4). What is the nearest to -2 in 2, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124776061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4*n**(-2\/7)*(n\/((n*n*n**6)\/n))\/(n*n**(-2\/3)*n) assuming n is positive.\nAnswer: n**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 7 - (-4 - (2 + -2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 5*k + 7. Let t(b) = 3*b**2 + 3*b + 3. Calculate 4*o(n) - 9*t(n).\nAnswer: n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/(22\/55).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i + 39. Let g be s(0). Let r = g - 21. Solve -5*n + 2 = -r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.034 + 1.036. What is k rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38375 - -38325. Put -58, -3, k in decreasing order.\nAnswer: -3, k, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/135*2*(45\/(-10))\/3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 17. Sort -3, z, 1 in ascending order.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 4, u: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6568266, 13136527, 19704778, 26273019, 32841250?\n\"Answer: -5*n**2 + 6568276*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(76))\/sqrt(4)*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599384 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14457*x + 14852*x + 14451*x - 43754*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 - 715*u - 4641. What is t(-95)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58333 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:28 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 3. Let y = 0 - g. Which is the second biggest value? (a) -3 (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.29407 - -0.39507. Let s = 0.16 + 29.84. Let a = b + s. What is a rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-7) - 16\/28. What is the third derivative of -m*k**2 + 14 + 2*k**6 + 6*k**6 - 14 wrt k?\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 346800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u**3 + 54*u**2 - 176*u + 170. Let y(c) = -c**3 + c**2 - 2*c - 1. Let x(w) = -a(w) + 10*y(w). Factor x(m).\nAnswer: 4*(m - 5)*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:26 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3 + 12*z**2 + 26496*z = 0.\nAnswer: -92, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1084108 or -0.2?\nAnswer: 1084108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 3*s - 2. Let t be v(2). Suppose 2*i + t*i - 3 = z, -4*z = -3*i + 2. Is z\/(-2)*(-240)\/5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 9 = -4*q. Let r = 19 - q. Let o(s) = s + 1. Let w(v) = 2*v + 4. Let k(l) = -5*o(l) + w(l). Give k(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4992 and 224?\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 129.\nAnswer: 129.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 0, -f - f - 2*i = 14. Calculate the common denominator of f and -20\/41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = -d - 30*k + 87, d - 102 = -2*k. Let w = d + -93. Calculate the least common multiple of 190 and w.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**3\/2 - l**2 - 99*l. Let q(n) = n - 1. Give -6*h(t) + 11*q(t).\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.1 + 8.005. Let d = -0.205 + o. What is the third smallest value in -3\/2, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179450 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -o + m, -4*o - m = 33. Let v(n) = 2*n + 12. Let u be v(o). Calculate the remainder when 17 is divided by (-30)\/(-4)*(-4)\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, -102\/91, -1, 0.2 in decreasing order.\nAnswer: 0.2, -4\/15, -1, -102\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(0 + (sqrt(891) + -1)**2).\nAnswer: -216*sqrt(11) + 10704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 7*x - 4. Let y be g(-6). Let v = 18 - y. Let k = -16 + v. Solve a + k*j + j + 2 = 0, -2*a + 3*j = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16184*m**4 - 3628*m.\nAnswer: 194208*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26983543073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2356, -4742, -7144, -9562, -11996, -14446, -16912?\n\"Answer: -8*l**2 - 2362*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19810269 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/8*4*14. Suppose 4*m = -2*x + t*m + 26, -x = 2*m - 27. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/35 + 617436683\/(-7). Let c = -42005241 - u. What is c rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41534.\nAnswer: 2, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4615 and 10295?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)**(2\/7)\/(h**(-2\/7)\/h**(4\/5)))**8 assuming h is positive.\nAnswer: h**(624\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/16518 and 61\/143156.\nAnswer: 429468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038141 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 4. Let i be -3 + (d - (-2 + -1)). Calculate the greatest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1283*c + 81. Let b be n(2). Are b and 2647 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2 - ((-768)\/(-60) - 12). Let n be 8\/90*(-27)\/18. Let p = -1\/30 - n. Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7006278*q**3*x + 5*q**3 + 102849*q**2 + 1 wrt x.\nAnswer: 7006278*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49533 and 41.\nAnswer: 2030853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 2 = y + 4*u, 4*u = -2*y + 8. Let k(s) = 3*s - 2. Let d be k(y). Suppose 0 = d*h - 17 + 1. Solve 0*t = -2*z + h*t - 16, -2*t = 4*z - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367096*d + 183443*d + 183650*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = 3. Let r = g + 1. Let j(m) = -7*m**2 + 9*m - 5. Let u(n) = -10*n**2 + 13*n - 7. What is r*u(d) - 7*j(d)?\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z = -22*z + 51*z - 1089 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 16. Let d = s - -24. Calculate the least common multiple of 4 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 91*m + 1114. Determine h(-14).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i + 2. Let f be r(3). Let w(y) = -1 - y + f + 0*y + 3*y. What is w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:51 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 6460?\nAnswer: 6457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.4, 5.159, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 2, f: 4}. Give prob of sequence zzkf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 13*q**2 - 20*q + 16. Determine i(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and (175\/84 - 2)\/(1\/238).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*f*o**4 + 273*f*o**3 - 2*f*o**2 + 2*f*o + 2*o**4 - 2506 wrt o?\nAnswer: -600*f*o + 1638*f + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37300 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 108157, -5 in decreasing order.\nAnswer: 108157, 14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01927 + -11.98073. What is the closest to z in 0.3, 5, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39496 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -51*p**2. Let k(i) = -9*i. Give a(k(v)).\nAnswer: -4131*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300926048 by -16.\nAnswer: -18807878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9*28\/98*(280\/(-24) - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + 0.33. Let v = 30.2 - 31. Let t = v + n. Which is the second biggest value? (a) t (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120012 + -10?\nAnswer: 120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 143*h + 140*h - 49 = 0, z - 2*h + 15 = 0. Sort z, -2, -1, -4.\nAnswer: z, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 11. Let l be m(10). Suppose 5*x + 16 = 286. Calculate the remainder when x is divided by -3*(-112)\/12*l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1049 + -492. Let n be a\/(-1) + -1 + 1 + 0. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257 + 257. Suppose 4*l + 5*o - 826 - 1285 = 0, 2*l - o - 1045 = h. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 + 8.3. Let p = 14929\/9 + -1657. Let u = p + -130\/63. Which is the second biggest value? (a) -2\/5 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**3 + 121*k**2 + 6*k + 18. Let t(m) = 17*m**3 - 243*m**2 - 11*m - 33. What is -11*h(z) - 6*t(z)?\nAnswer: -3*z**3 + 127*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from {l: 2, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222220210 (base 3) in base 2?\nAnswer: 100110010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -110*u - 65. Let r be (250\/(-225))\/((-3)\/(-27)). What are the prime factors of i(r)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1707 + -23339\/8535. Let i = -4484\/297 + 370\/27. What is the common denominator of m and i?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4745 and 331279.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*((sqrt(242)\/(sqrt(88)\/sqrt(8)))\/sqrt(2) - (-3*-1*sqrt(99))**2).\nAnswer: -4*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -5*m. Suppose 5*x + 3*v = -12, -x + m*v + 8 = x. Solve -4*z = -5*f + 29, x = -2*f + 4*z + 8 + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, l: 11}. Give prob of picking 4 l.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(27\/18)*3)\/(4\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/30 - (16512\/(-14))\/((-20)\/(-266))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 19*r + 7. Let p be j(-11). Suppose p + 4 = 2*n. Calculate the highest common divisor of n and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 9*x - 7. What is the units digit of t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012969?\nAnswer: 107, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*z - 12 = -3*f, -2*f - 5*z + 8 = 0. What is the derivative of 0*x - 72 - 20545*x**4 - x**2 + 0*x + 20613*x**f wrt x?\nAnswer: 272*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3458588 - 3458588 + 7619*f.\nAnswer: 7619*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 37446946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 24. Let h(o) = 7*o - 12. Let k(p) = -9*p + 16. Let b(l) = 4*h(l) + 3*k(l). Determine s(b(j)).\nAnswer: -j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -564 divided by 6.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u. Suppose -11 = -2*r + 9. Let z(c) = -c + r*c + 3*c - c. Let p(b) = -17*q(b) - 6*z(b). Let m(i) = -i**2. Give m(p(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11011010110011 (base 2) to base 4\nAnswer: 3122303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:36 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.1, -191, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 + 4*n**3 + 13 - 3*n**3 + n**3 + 2*n**3.\nAnswer: -6*n**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76738 or 76737?\nAnswer: 76737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*d - 2*a + 20, -10 = d - 3*a. Suppose -d*c + 3*w = -182, -3*w = c + 2*w - 117. Suppose -c = -3*m - 37. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a - 64. Give j(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10469443.\nAnswer: 10469443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**2 - 41*w - 17. Let q be h(-5). Let v(s) = 10*s**3 + 12*s**2 + 12*s - 12. Let o(g) = g**2 + g - 1. Calculate q*o(x) + v(x).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/(-54))\/(2\/(-20)). Solve -u*a - w + 2*w = 17, -4*a + 4*w - 20 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*(4\/(-3) + 1). Suppose -2*i + 2 + z = 0, 4*o - 156 = -3*i. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 19*b - 2100 = 0. Let m = -146 + b. Let k(y) = -4*y + 4. Let d(f) = -f + 1. Determine m*k(x) + 22*d(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-1176))\/((-6)\/(-63)*39)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 + -251. Suppose -5*v + 5*z + 39530 = -0*z, -v - 5*z + 7876 = f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {h: 6, z: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/42 + 19\/7. Suppose -2*s + 40 = k*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 3:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (665\/266)\/(160\/(-2752))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**3\/3 - n**2\/2 - 107*n + 3324. Calculate o(0).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 b when three letters picked without replacement from {a: 1, e: 1, b: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w. Let y(d) be the first derivative of -1\/3*d**3 + 18 + 0*d**2 + 0*d. Give k(y(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 2*c + 3. Let d be o(-3). Let i(x) = x. Let z be i(4). Suppose 2*n + z*t - 8 = 3*t, 4*t + 3 = -n. Solve n = -d*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 37 - 21 = -2*r, -3*r = 4*l - 76. Suppose 5*h = -7 + l. Sort -0.5, h, -3 in ascending order.\nAnswer: -3, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 + 100*m - 117. Calculate p(-13).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.3. Let n be ((-3)\/(-18))\/((-10)\/45). Which is the smallest value? (a) z (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 4*s - 60. What is c(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0 - 8*k**2 + 0*k**3 - 1\/30*k**5 + 0*k - 1\/12*k**4. Let n be -3*(2\/3)\/1. What is b(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -600.4 and 0.4?\nAnswer: -240.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359339871 - -359339893.9999959. Let o = 26 + -49. Let w = b + o. Round w to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7576*x**3 - 7573*x**3 + 15161*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13213\/2979 - 3\/331. Let u be (-8)\/12*6*15\/12. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:30 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 10. What is the biggest value in -5, -3\/5, m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737513 (base 11) to base 8\nAnswer: -4403040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, -0.0164, -0.23.\nAnswer: -5, -0.5, -0.23, -0.0164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21608.3849 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*((-55)\/(-99) + 0). Solve 0 = -2*h - 2*b - 1 + i, 3*h + 26 = 5*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 308*i - 311*i + 40 = 0, 2*i - 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-295 - -293 - (-405)\/10) + (1 - -6)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1397*d - 226314. Give s(162).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qdrfrdjjqrjjar.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 5. Suppose -5*l = -5*v + 2360, -l + 5*v = 2*l + 1424. What is the least common multiple of l\/(-45) + 2\/(-5) and c(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 0. Are 0 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -5 - (16 - 14)*7*-1. Solve 5*z + i = z, -35 = 3*q + 5*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75961232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (16\/5)\/(34\/85).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.301 times 2?\nAnswer: 1444.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.1 (b) -9\/16 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14437 - -14436.4. Sort -0.2, v, -5, -120, -3 in ascending order.\nAnswer: -120, -5, -3, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1104 - 1102. Let a = -14 - -19. Suppose 6*g - p - 16 = 2*g, -5*p + 8 = 2*g. Solve -r*j = j + a*i + 31, g*j = -i - 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*m**3 + 1079*m**3 + 3*m - 3*m.\nAnswer: 760*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50, -73, -96, -119?\n\"Answer: -23*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {a: 1, s: 1, v: 2, g: 10, q: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n + 515 = 0. Let s = 1547\/15 + n. Which is the closest to -2? (a) -0.4 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 + 102*b + 99 = 0.\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + g + 4*g - 88485, -88494 = 5*a - 2*g. What is a rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-163 - -179) + (-561)\/36)\/(190\/(-16))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10290 a factor of 2560388670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468, -449, -418, -369, -296, -193?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let z(i) = -4*i + 6 + 0*i - 5. Let r be z(1). Sort m, r, -5.\nAnswer: -5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m**(1\/3))\/(m*m**(2\/3)*m**(-7)))\/(((m*m**3*m)\/m**(-1))\/(m\/m**(-2\/5))**(2\/121)) assuming m is positive.\nAnswer: m**(12142\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let o(l) = -2540*l - 5. Determine o(p(u)).\nAnswer: 5080*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q, -3*y + q + 93 = 4*q. Calculate the highest common factor of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152\/17 or 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -19 (b) 5 (c) -2126 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3484657361?\nAnswer: 19, 3109, 58991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*-4*sqrt(425)*-2 - (sqrt(2448)*2*-2 - (sqrt(51)\/sqrt(3)*3 - sqrt(68)\/sqrt(4)*2)))**2.\nAnswer: 14108657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5 - 2*h**4 + 2532*h**3 + 31760*h**2 - 73600*h = 0.\nAnswer: -23, -20, 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -56*d**2 + 56*d - 56. Let r(i) = i**2 + i - 1. Calculate -l(y) + 56*r(y).\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54 + 0.06. Let r = 1 - n. Let p be 15\/(-10)*(-4)\/3. Which is the second biggest value? (a) r (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:57 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(-3)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66319388 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 13*q = -15*q + 6228, -12 = 3*q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 7. Let f be z(10). Let a be (-42)\/4*(-2)\/f. Let s = 10 - a. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.29 - -13.29. Let j = -12.528 + 0.028. Let d = j + a. Sort d, 1\/5, -2 in descending order.\nAnswer: d, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/10 - (-312)\/80.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + 26\/(-2431)*8517.\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110101222010112 - 12?\nAnswer: -110101222010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0, -3.572, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = l - 17, -2*l = 5*h - 8*h + 46. Suppose h*a + 16 = 17*a. Let z be 5*-3*(-4)\/15. Solve z*p - 4*u = -p - a, -p - 5*u = -20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -17124084\nAnswer: -7\/17124084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -m + 1 + 2, 4*m + 4*d + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - 5*o**4 + 3*o**4 + 2*o**4 + o**2 - o**2 + (-2 - 1 + 4)*(o**4 - 4*o**4 + 2*o**4))*(-7*o - 10*o + 10*o).\nAnswer: -21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/3*b + 13\/3*b**2 + 1\/3*b**3 - 49\/3.\nAnswer: (b - 1)*(b + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssicgsiidsdsddgsscs. Give prob of picking 1 d, 1 c, and 1 g.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrrvbbvvvvbbvr. What is prob of picking 1 r and 3 v?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 8) to base 9.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 3. Let n be u(1). What is the nearest to n in 4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1258336, -2516668, -3774998, -5033326?\n\"Answer: w**2 - 1258335*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58273.\nAnswer: 19, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-30) + (2 - 2))*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12797740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f. Suppose -2*o + 5*j - 7 = -21, f = -4*o + j + 10. Differentiate 2*x**4 + 27*x**2 - 2 - 27*x**o with respect to x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1156 and 2196?\nAnswer: 634644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/20 + 3*s**4\/4 + s**3\/3 + 5*s**2\/2 + 138*s. Determine r(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -14. Suppose 20 - 26 - 54 = -2*l. Calculate the smallest common multiple of l and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048143.61 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11012001222?\nAnswer: -11012001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 10 - 9. Suppose k + b = 28. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116336?\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z + 64. Let p be k(16). Let l = -88 - p. What is the remainder when l is divided by (-2)\/5 + 308\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34409, 69070, 103731, 138392, 173053?\nAnswer: 207714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/(m**4\/m))**(1\/2)*(m\/(m*m**0))**(-6)*(m*m**(2\/3))**(-36) assuming m is positive.\nAnswer: m**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -206\/1969 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4739 (base 11) to base 13\nAnswer: -2a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 9*i**2 - 8*i - 9. Let f be t(7). Suppose 2*a = -f + 187. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from unuunu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -t + 2*t, -4*j - t = -8. Let m be j\/2 + (-200)\/(-16). Find the second derivative of 3*r + 0*r - m*r - 5*r**5 wrt r.\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eff when three letters picked without replacement from euusfuuuuufeesus?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-83)\/(30710\/(-111))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 112. Suppose n - l = -2*n. Find the common denominator of -1\/3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 7, j: 1, m: 3, t: 7}. Give prob of sequence mt.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(19\/5)\/q**(-18)*q**(-5\/2)*q*q**(5\/2) assuming q is positive.\nAnswer: q**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -2)*(-12)\/8. Let s(m) be the third derivative of -1\/160*m**6 + 1\/840*m**7 + 0 + 0*m**f - 1\/96*m**4 + 0*m - 2*m**2 + 1\/80*m**5. Factor s(u).\nAnswer: u*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 13061.\nAnswer: -11\/13061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 - 12 = 2*i, -4*i = -2*a + 18. Let c be 2*(0 + -8)\/1. Let r = i - c. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -48. Suppose -t = 2*b, 2*t = -t + 5*b + f. Solve -l + 4 = 2*h, 2*h + 4 = -5*l + t*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94734 is divided by 47127?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f2128 - -172?\nAnswer: f229a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 34. Let v = -6484.1 + 6484. What is the biggest value in -5\/11, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63112 (base 9) to base 12\nAnswer: -20125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(40\/42 + -1). Let l = n - 17. Solve 4*h - 8 = -l*u, u - 3*u + 4 = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/980)\/(2\/10)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/7 + u**3\/7 - u**2\/7 - u\/7 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3298, 3281, 3254, 3211, 3146, 3053?\n\"Answer: -b**3 + b**2 - 13*b + 3311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -36*d**2 + 8172*d + 40916. Determine m(-5).\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 3*n, 5*v - 2*n = 5 - 16. Sort 3\/7, 2\/3, v in increasing order.\nAnswer: v, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27417378 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 30*(10\/4 - 2). Sort m, -3, -9 in descending order.\nAnswer: -3, -9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 6. Let a be j(-4). Suppose a*h + 16 = 5*b - 2*h, 0 = b + 3*h + 12. Determine c, given that -2\/11*c + b + 4\/11*c**2 - 2\/11*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006215731 rounded to six decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 387, 1146, 2495, 4596, 7611?\nAnswer: 11702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-3) - 1) + 59734. Suppose 2*n - 3559 = -51027. Let l = n + q. Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*h - 97 - 3 = 0, -4*h + 99 = -5*f. Suppose -31 = 4*d + 49. Calculate the common denominator of (f\/4)\/((-4)\/d) and 55\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16171373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 2894081 + 2894081.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/23, 1, -9\/8, 1\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -25. Suppose -4*y = -3*d + 28, 3*d + 4*y = 3*y + 8. Solve -h = -d*p + 17, -2*h + 2*p = 2 + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36935, 73888, 110841, 147794, 184747?\nAnswer: 221700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - (-2093)\/(-455)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/50311 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3370 (base 12) in base 4?\nAnswer: -1121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493.32 + -493. Let l = 0.2488 - u. Round l to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/4 - (-4 - (-49)\/14). What are the prime factors of (s - 13)\/(1\/1081)?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -21. Let d(u) = -u**3 - 7*u**2 - 6*u + 1. Let c be d(x). Which is smaller: 1\/28 or c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + p**2 - 5 + 3)*(1529 - 1529 + p**2 + 4*p) to m*p**4 + k + w*p**3 + g*p**2 + r*p and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.04677373151 and 0.2?\nAnswer: 2.84677373151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 30 = 0. Suppose -7*r = -2*r + q, -5*j = -5*r - 75. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(90)*-2)\/((sqrt(60)\/sqrt(4))\/sqrt(3) + sqrt(5)))\/(-2*sqrt(225)*-6 - (1*sqrt(225)*-2 + sqrt(225))).\nAnswer: 6*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(1\/4)*f*f**0*f*(f*f*f**(-3\/10)*f*f)\/f)**33 assuming f is positive.\nAnswer: f**(6369\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rspsrvmss. Give prob of picking 1 s and 1 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10 and 36\/208805?\nAnswer: 417610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Suppose 0*a = -b*a - 15. What is the second smallest value in 0, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 10. Determine s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -250205030 (base 6) to base 14\nAnswer: -8c4518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 108 - 2*h + 104. Let f be x(-1). Let v be 4\/(-8) + 213\/414. Is f >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -5, 129 in decreasing order.\nAnswer: 129, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 11*m - 9. Let i = 32 + -27. Let d be (4 + 16)*i\/(80\/12). What is the tens digit of k(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3\/2, 2\/25, 1\/41?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 2. Let n(g) = 10*g**2 - 22*g + 19. Let x(v) = 2*v**2 - 4*v + 4. Let q(o) = -2*n(o) + 11*x(o). Determine -7*i(k) - 2*q(k).\nAnswer: 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 7*q. What is the remainder when 65 is divided by u(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 - 2) - 1) + (45 - 38).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(-3 + 4 + 9)*(-x + x + x).\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 != 379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + 13. Suppose -j + 48 = 6*d. Sort 0, 4, d, 3.\nAnswer: 0, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 3*n - 8 = p, -2*n + 4 = 5*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 - (-598)\/39. Find the first derivative of -6*h**3 + 13 - 13*h**3 - 38*h**3 + n*h**3 wrt h.\nAnswer: -126*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than 740?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 2*b + b - 3 + 3 - b + 3*b - 2*b + 0*b + (-2*b + 2*b + 2*b)*(-3 + 0 + 1) + 12*b - 14*b + 9*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (0 - (1 - -2)). Let k = 2 + 2. Suppose 7 - 31 = -y - k*h, -p = y - 2*h. Solve 0 = -y*s + 1 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8886675 microseconds in minutes?\nAnswer: 0.000000014811125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223 - 30*n - 223)*(6 - 4 - 6).\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-79 + -3 - -20).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 287974*h**4 - 22*h**2 - 24*h + 65 wrt h?\nAnswer: 120*h**3 - 6911376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4929942959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -951 + 1557 = 60*a - 2814 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 13, l: 5}. What is prob of picking 4 c?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) - sqrt(162)) + -2*sqrt(1152))\/((sqrt(99)*2*4)\/sqrt(11)).\nAnswer: -25*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-49)\/53 + -1 - -2. Let j = k + 131\/371. Which is the second smallest value? (a) j (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -210*h + 11101. Determine q(53).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78\/5*g**3 - 3\/5*g**4 + 0*g + 81\/5*g**2 + 0.\nAnswer: -3*g**2*(g - 1)*(g + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let d = 204 - 132. Let o(r) = 0*r + 70 - d + r. Let k(i) = -4*h(i) - 2*o(i). Let m(v) = -v**2. Give k(m(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 119*c - 10986. Calculate k(89).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from ihbijdhhjbubbbbbh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16440 - 16440.01. What is the closest to 4 in -1\/5, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 125 + 259 = -8*h. What is the smallest common multiple of 296 and h?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -733\/340 + 29\/20. Let k = -37\/68 + l. Which is the second smallest value? (a) -8 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 1 - 1247. Suppose v = -3*o - 2*o + x, o - 5*v = 46. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -297, -327, -357, -387, -417?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 - 17*h**2 - 9*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiiyijijsisijssiji. Give prob of picking 3 j and 1 s.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + i)*(30*i + 45*i + 29*i)*(3 - i - 3).\nAnswer: -104*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575 <= 2556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*k + 1 = 50, -p = 2*k - 16. Differentiate u**2 - 16*u - 4*u**2 - p*u - 99 with respect to u.\nAnswer: -6*u - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 2\/13, -2\/5, 10, -0.5, -2, -260\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 3*t + 2. Let a be 222 - (1*-2 - (-9 + 11)). Suppose a*o = 224*o + 32. What is the remainder when o is divided by k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 10, -5920 in increasing order.\nAnswer: -5920, -0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k - 0*k, 2*u - 558 = -k. Suppose 7*h - 21*h - u = 0. Which is greater: -17 or h?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 + 139. Let h = s - -113. Suppose -2*q = -4*r + h, -3*q - 8 = -2*r + 20. Solve 0 = -4*n - r, -4*n = -3*y + 20 - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.053 - 1.053. Let t(q) = 6*q**2 + 3*q + 5. Let l be t(4). Suppose -w = 121 - l. What is the third biggest value in 3, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25303 is divided by 3106.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let t(i) = 35376*i. Calculate t(o(v)).\nAnswer: 70752*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzzzzzrzzz. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1423556, -1423559, -1423562?\nAnswer: -1423565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 319?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -130, -1.5, 1, 1\/3, 223?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12132 (base 6) to base 15.\nAnswer: -7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 - x**3\/6 - x + 192. Let a(p) = 2*p**2 + 14. Determine a(c) - v(c).\nAnswer: c**2 + c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 2421168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let g(d) = 7*d**3 + 1. Let h be 5636\/20 + (-28)\/35. Let c = 282 - h. What is c*g(z) - n(z)?\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.86 - 0.14. Let h = 10 + k. Which is the closest to 1? (a) h (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 64. Let v = 20 - u. Suppose -8 = -i - v, -258 = -5*o - 2*i. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than 504\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-25))\/(38\/380)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -167*r + 168*r - 77*r**2 - 2 - 362*r**2. Let h be j(6). What is h rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(-98)\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1640 = 6*i - 1648 + 3276 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3. Let q(t) = t - 8. Suppose -2*x = -5*i - 41, -12*x + 18 = -11*x - 2*i. Suppose -x*o - 4 = -68. Give o*y(p) - 3*q(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490441987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92249 and 12453615?\nAnswer: 12453615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 9*b - 11. Suppose -191*f = -151*f - 329 + 89. What is n(f)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -12 - 18 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 16 = 4*h, 0 = -5*m - 25 + 15. What is the highest common divisor of 12 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 594187047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 22*h**2 - 13*h - 164. Let f be q(21). Suppose -40*i + 38*i = -2. Is i < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 537 + 2581.\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/7)\/(564 - 570). Let q(i) = -i**3 - i**2 + 1. Let l(s) = -29*s**3 - 7*s**2 + s + 7. Let p(j) = l(j) - 5*q(j). What is p(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4220011440 (base 5) in base 8?\nAnswer: -41303426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4 + 3) - (37 + -33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/5)*q)\/q*q*q**2)\/(q**5*q**(-6)))\/(((q**(-5)\/q)\/q*q)\/q**(-6)*(q\/((q*q**0*q)\/q))**(-10\/7)) assuming q is positive.\nAnswer: q**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248797781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00530323 - -23.37561?\nAnswer: 23.38091323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 887171 rounded to the nearest one thousand?\nAnswer: 887000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/550 + 5261\/6600. What is the common denominator of d and (285\/(-432))\/((-7)\/((-63)\/(-6)))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360 * -7\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -17*l**3 + 2*l**2 + l + 2. Let x be z(-2). Round x to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 10010011101110101001?\nAnswer: -10010011101110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**3\/3 - 15*u**2\/2 + 2. Let l(b) be the third derivative of -b**5\/30 + 4*b**2 - 23*b + 18. Give l(v(m)).\nAnswer: -8*m**4 - 120*m**3 - 450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -40. Suppose 0 = 3*b - 12, 5*o + b = 4*o - 1. Suppose 0 = -2*j - 2*j + 20. Sort j, r, o.\nAnswer: o, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 + 6*x**2 - 34*x - 30. Let s be z(-12). Let m = 47641 - s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**4\/4 + 15*g**3 - 24*g**2 - 55. Factor j(s).\nAnswer: 3*s*(s - 1)*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52375, -52352, -52305, -52234, -52139, -52020?\n\"Answer: 12*x**2 - 13*x - 52374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q + 6. Suppose -2*u - 3*u + o = 80, o + 22 = -u. Let y(m) be the first derivative of 15\/2*m**2 - 17*m - 18. What is u*z(f) - 6*y(f)?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28610.5 - -28855.282. Let a = -245 + r. Round a to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2383 - -2388. Solve 0 = 4*q + 6*o - 9*o - 16, -w*q = -3*o - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747889609 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -25413 in decreasing order.\nAnswer: -3, -4, -25413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673864186?\nAnswer: 2, 336932093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -633\/10 - -52. Let t = -157\/14 + 81\/14. Find the common denominator of t and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 2*l)*(9*l**3 + 3*l**2 + 9*l**3 - 16*l**3 - 3*l**4).\nAnswer: -6*l**5 + 4*l**4 + 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 10 + 10)*(-2 + 11 + 1).\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1633 (b) -4\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4692091068 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/3 + 260266*i**4\/9 + 2689874*i**3\/9 + 7896454*i**2\/9 + 780980*i + 173552 = 0.\nAnswer: -6, -3, -1, -1\/3, 43388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 5.4. What is the nearest to 0 in -0.2, -14, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -22*r - 194. Let t be l(-8). Calculate the lowest common multiple of 417 and (-216)\/t - (4 + 1\/(-1)).\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*h**2 + 18*h**2 - 2*h**3 - 14*h**3)*(2*h - 13*h + h) to the form x*h**3 + b*h + l + v*h**4 + q*h**2 and give v.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 10*d - 161 + 153 = v, 13*v = -3*d + 300 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5990 + 1255 = 58*j + 865 for j.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*u = 251*u - 725*u + 5712 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2551403, -5102750, -7654097?\n\"Answer: -2551347*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162774.061 + -162681. Let b = 93 - p. Let s = 0.060999783 + b. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5520.05 litres?\nAnswer: 5520050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 395, 527, 385, -121, -1081?\nAnswer: -2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696548644 to the power of 1\/3, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -6951.\nAnswer: 69510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9028493 and 4383?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 2, y: 7}. Give prob of picking 2 y and 1 i.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d2a70 (base 15) to base 8.\nAnswer: -31560326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**(-12)*a)*a))\/(a\/(a**21*a)*a*a))\/(a**24*a*a)**10 assuming a is positive.\nAnswer: a**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.418 - 0.018. Let q = -27\/4 + 6. What is the nearest to -0.2 in u, q, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 19178916\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (615\/(-10)*8)\/(9\/(-12)). Calculate the highest common factor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:43 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(0 + (-12)\/(-9)). Let x(g) = 2*g - 5. Let o be x(j). Let q(h) = -h**2 + 7*h - 4. Determine q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 10 = 0, 0 = 5*w - 2*g - 10. Is w less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 2\/9, 2\/13, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -1\/6*b**3 + 0*b**2 + 2*b + 0. Let d(r) be the third derivative of r**4\/6 + 2*r**2. Give f(d(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2334a (base 15) to base 6.\nAnswer: 2223024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.007 + -42.907. Let u = -43.2 - t. Which is the closest to 3\/10? (a) u (b) 4\/5 (c) 0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15378833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.131 - 0.1310444. What is d rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from {b: 2, f: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 19, 30, 39, 46?\n\"Answer: -w**2 + 16*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8451 + 8574. What is the nearest to 2 in 0.2, l, -0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -82*z + 780. What is r(11)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 7 = a + 19, -4*a + 3*q + 11 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 11. Let n be v(-8). Suppose -5*u - n*t = -224, 0*u - 4*t + 141 = 3*u. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 - -380. Suppose -v = -x*t - 2745995, -36*v + 34*v + 5492003 = 3*t. What is v rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(304)*-2*-5 + (5*(-2*sqrt(1539) - sqrt(1539)) - sqrt(1539)) + -5)**2.\nAnswer: 416*sqrt(19) + 205508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -13 - 26*p + 62*p - 20*p - 16*p - p**2. Give v(8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = -5*p, 187*u = 192*u + 5*p - 15. Let r(k) = k**2 - 2*k + 6. Let y(x) = -x**2 + x - 7. Determine u*y(g) + 5*r(g).\nAnswer: g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2 - 1075*c + 1070 = 0.\nAnswer: 1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 + 5*k**2 + 3*k + 4. Let u be m(-6). Let g = -478 - u. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.13, 5, 4\/5, -1, -2 in descending order.\nAnswer: 5, 4\/5, 0.01, -0.13, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -43*x + 13*x. Suppose 1 = -4*p - 3*d, 0*p + 5*d + 9 = -3*p. Find the second derivative of -6*j**p + 2*j + 7*j - 7*j + x*j wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1425 + 615 = 0. Let f = 0 + k. Does 68 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 34. Let w be p(19). Suppose -5*b - 570 = -w*d - 31, 0 = 4*d - b - 559. List the prime factors of d.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 4?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 132182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200295 divided by 5.\nAnswer: 40059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279652 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 561, 1149, 1737, 2325, 2913?\n\"Answer: 588*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1.6 (c) 1\/9 (d) 0.5 (e) -3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362.4 + -11.4. Let q = j + -350.6. What is the second biggest value in q, -2, 1\/5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/((112\/(-10))\/2). What is the closest to 0 in 2\/7, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -3ba?\nAnswer: -3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(3\/7)*u\/u**25 assuming u is positive.\nAnswer: u**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -622829973 or -622829974?\nAnswer: -622829974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1692 and 63168?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105931146 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 1\/60*x**6 - 33*x**2 - 1\/12*x**4 + 0*x**3 - 1\/315*x**7 + 1\/90*x**5 + 0 + 2*x. Factor g(a).\nAnswer: -2*a*(a - 3)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(20) + sqrt(5))*5.\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**9\/6048 + i**8\/1680 - i**7\/420 - i**6\/90 + 18*i**3 + 24*i - 1. Let q(r) be the second derivative of w(r). Factor q(b).\nAnswer: b**2*(b - 2)*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**7\/1260 + f**4\/12 + 6*f. Let n(s) be the third derivative of y(s). Let z(k) = 11*k**2. Determine n(z(b)).\nAnswer: 242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*z - 8, -y + 14 = 5*z + 16. Solve 0*i - y*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001596371 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -13*q**7\/210 - 9*q**3 - 3*q**2 + 4*q + 44. Let w(j) be the second derivative of k(j). Differentiate w(z) wrt z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 divided by -411?\nAnswer: -301\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 22*r**2 + 48*r + 4. Let t be i(24). Solve z + t*l = -4*z - 17, -5*l - 14 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2095 + 0?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2458, -9808, -22054, -39196, -61234, -88168?\nAnswer: -119998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25484, -27657, -29840, -32033, -34236?\nAnswer: -36449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c, -5*c - 26 + 6 = -3*r. Let m(y) be the third derivative of 2*y**2 + 1\/15*y**r + 1\/30*y**6 - 1\/3*y**4 + 0 + 0*y**3 + 0*y. Factor m(n).\nAnswer: 4*n*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 2236 = -4*k. Let u = k + -121. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 - 2080\/256)\/(3\/28) - 8)*-8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = y + o - 48, 0 = 4*y - 5*o - 117. Let h = 50 + -46. Suppose -5*d + h = -11. Calculate the greatest common divisor of y and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*(sqrt(153) - -2*sqrt(153) - sqrt(153)))\/(1*sqrt(3)*2))\/(6*(sqrt(147) + sqrt(147) + sqrt(147) + sqrt(147)*-2 - sqrt(147) - 4*1*sqrt(3))).\nAnswer: -sqrt(17)\/24 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 28 = 15*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 a, and 1 g when four letters picked without replacement from vzavlvgvcgggzcgv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b. Suppose 0 = -b*g - g + 5. Suppose 5*i + 24 = 4*q, -g*q + 0*i = 2*i - 30. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5*m**3\/3 - 6*m**2 + 7*m + 5209. Let o(k) = -4*k**2 - 11*k + 6. Give -5*c(x) + 6*o(x).\nAnswer: x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*d**4 + 128*d**2 - 2044*d - 5636318 wrt d?\nAnswer: -28*d**3 + 256*d - 2044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.9. Let h(k) = 4*k**3 + k**2 - 2*k - 3. Let m be h(-1). Which is the closest to p? (a) 5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjd. Give prob of picking 1 d and 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.7 + -4.7. Let q = t - 41.00000136. Round q to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10495 and 12215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -r. Suppose l - 12 = -3*h, r = 3*h - 4*l + 5. Let d(x) = -x**3 + 5*x**2 - 3*x - 1. What is the smallest common multiple of d(h) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-54))\/(25\/(-100)*(-24)\/(-594))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91, -338, -749, -1324, -2063, -2966?\n\"Answer: -82*u**2 - u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/4 - 6*b**3 - 81*b**2\/2 + 3*b + 613. Factor q(h).\nAnswer: -3*(h + 3)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689 at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 37. Let b(h) = 34*h**2. Calculate b(m(r)).\nAnswer: 136*r**2 + 5032*r + 46546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/3*(3 + (-12)\/3). Solve -f*d - 1 = -21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.288953mg?\nAnswer: 0.000000005288953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.45 - 5.45. Which is the second biggest value? (a) o (b) 4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 43462.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67954, -67953, -67952, -67951, -67950, -67949?\n\"Answer: l - 67955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4. Let d = r - -3. Which is the second smallest value? (a) 0 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1360334 and 4.\nAnswer: 1360338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36151029*a**3*r**5 + 3*a**3 + 9*a**2*r + 16*a - 504*r wrt r.\nAnswer: 723020580*a**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4312, 16948, 38006, 67480, 105364, 151652?\n\"Answer: -w**3 + 4217*w**2 - 8*w + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3453, -6876, -10231, -13482, -16593, -19528?\nAnswer: -22251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*t + 102, q - 5*t + 24 = -3*t. Let i be (-9)\/q - (-7)\/2. Solve 5*k + 34 = -3*y, -5*k - 5*y - 44 = -i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2521\/12065 - -1\/635. Which is the third smallest value? (a) 3\/2 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**12\/q)\/(q*q**(-11)\/q*q))\/(((q*q*((q\/(q*q**4)*q)\/q*q)\/q*q)\/q*q)\/q)**(-49) assuming q is positive.\nAnswer: q**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 48*c + 12. Let f(k) = 30890*k. Calculate f(r(o)).\nAnswer: 1482720*o + 370680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(2*4\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1908 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 43, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 - -174. Suppose 2*w - 5*j = i, 5*j - 11 = -3*w + 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94 and 0.25.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2. Let u(n) = -6*n**2. Let m(w) = -4*k(w) - 3*u(w). Let c(j) = 2*j - 8*j - 3*j - j. What is m(c(h))?\nAnswer: -200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/199422 and 23\/93.\nAnswer: 6182082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p - 498*p**3 - 26*p.\nAnswer: -498*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h + 2. Let x = 14 + -9. Suppose 16 = x*y - 14. What is the remainder when q(2) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 - (-5 + 0 + 8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqccrcceqcqcrrrqqrr. Give prob of picking 1 r, 1 b, and 1 e.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.7165 - 6.71840763. What is q rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {v: 6, x: 1, g: 2, q: 1, n: 2, r: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -428\/6501 or -1\/2?\nAnswer: -428\/6501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.95 - -62.11. Round n to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -8.6.\nAnswer: 498.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 152, 5, -1\/2, -4, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 247*g + 125. Let j be u(-123). What is the biggest value in j, -0.2, 5, 1\/37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(13\/2))**(-44)*(j*j**(2\/59))\/(((j\/(j\/(j**1\/j)*j))\/j)\/j) assuming j is positive.\nAnswer: j**(14516\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10110100100011100?\nAnswer: -10110100100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30\/523 or 0?\nAnswer: 30\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -7*d**6\/120 + 3*d**5\/20 + d**4\/12 + 19*d. Find q such that b(q) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -4\/5323, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2037, 2038, 2039?\nAnswer: 2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 327401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 5.757, 0.2, 4, -5?\nAnswer: 5.757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(98)\/sqrt(2))\/((sqrt(49)*-2)\/sqrt(7))*-6.\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/15)*k))\/k**(1\/23)*(k*(k\/(k**(2\/39)\/k*k))\/k*k)\/((k\/(k*k\/(k*(k*k**19)\/k)*k))\/k) assuming k is positive.\nAnswer: k**(-22766\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 2.6, 5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3039 - 939 = 0. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 0, -4, 3, -2 in ascending order.\nAnswer: -4, -2, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (3\/(-12))\/((-2)\/104).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.5572 (b) 0.1 (c) -2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -1, -0.07, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s + 1, 2*a - 3*s = 7. Let t be (-5 + -15)\/5*a. Find l such that 4\/3*l**5 - t*l**4 + 8\/3*l**3 + 0*l + 0 + 0*l**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s**2 + 0*s**6 - 3\/7*s**7 + 0*s**4 - 2\/3*s**3 - 2 + 0*s**5 + 0*s. Find the third derivative of f(i) wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 - 5*t - 4. Let d be j(6). Let u(c) = 6*c**3 - 2*c**2 - 3*c + 6. What is the units digit of u(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/(-80)*(-51)\/(-36) and 117\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9550 a factor of 585682400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -2, 1, 6, 31770 in ascending order.\nAnswer: -2, 1, 4, 6, 9, 31770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h. What is i(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 37 = 5*m - 0*o, 4 = 4*o. Let k(h) = -3*h**2 + 2*h - 2. Let u(v) = -3*v**2 + 2*v - 2. What is m*u(g) + 6*k(g)?\nAnswer: 3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*d = -16 - 5, -5*r + 19 = -3*d. Solve 5*s + 2*n + 17 = 6*n, 0 = r*s - 3*n + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3 + 1 + 1)*(-9 + 2 + 0)*(-2*f**3 + f**3 - f**3).\nAnswer: 56*f**4 - 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let s be a(-5). Let p(o) = o**3 - 2*o + 2. Let b(c) = -c**3 + 5*c - 5. Calculate s*p(r) + 2*b(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2709?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 382 = 2*x, -3*a + 9*x = 4*x - 567. Find the third derivative of -a*f**5 + 194*f**5 + 2*f**2 - 4*f**6 wrt f.\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (29 - 78) + 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - 5*h**5 + h**5 + (2 - 2 + 2)*(-12*h**5 - 26*h**5 - 9*h**5).\nAnswer: -93*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let b(w) = -8 - 22*w + 194*w**2 + 34 - 214*w**2. Let n be (-3 - 0)*30\/9. Let v(k) = n*t(k) - b(k). Factor v(p).\nAnswer: 4*(p + 2)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, -3.\nAnswer: -3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 341.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -9, -3 in ascending order.\nAnswer: -9, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985587.\nAnswer: 3, 19, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141489 is divided by 1965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**26\/t)*t\/((t\/(t\/(t\/t**(2\/45)))*t)\/t*t))\/(t**12\/(t*((t**(2\/13)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-22699\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14870789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4b287a (base 14) to base 4\nAnswer: -21312020230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - -0.5. Let l = u - -0.02. Which is the second biggest value? (a) -5 (b) -5\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1620660 by -10.\nAnswer: -162066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 14*f + 22. Let t be b(-5). Suppose -4*x + 5*d - 55 = -7*x, -t*d = -4. What is the remainder when x is divided by -6*(1 + (-10)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 6)\/(4\/(-2)). Let s be ((-2)\/(-3))\/((-2)\/(-6)). Suppose -3*u - 6 = 3*d, 5*u = s*u + 5*d + 18. What is the greatest common divisor of l and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16856658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*v - 15 = 0, -s - v - 1 = -7. Solve 2*i + 4 = 3*k, -i + 4 + s = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjbgicbcbcbicji. What is prob of picking 1 b, 1 i, and 2 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 7 - 8)*(m**2 + m**2 + m**2)*(2 - 4 - 1) + (-1 + 2*m + 1)*(0*m + 0*m + 26*m) in the form n*m + j + d*m**2 and give d.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17234 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j*j**(-1)\/j*j)*j*j))\/(j*j**0\/j))\/(j\/((j\/(j**(-2\/25)*j))\/j)*j**2\/j))**39)**15 assuming j is positive.\nAnswer: j**(-14391\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwcwwwcccwwwcwwwc. What is prob of picking 2 c and 2 w?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 86*x + 1364. What is s(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1*-5)\/(sqrt(48) - sqrt(1200)) - (-3*sqrt(352))\/(1*sqrt(18)))**2.\nAnswer: 8019\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1019*b - 35. Is 17 a factor of w(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 658.\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.114.\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117953 (base 10) in base 14?\nAnswer: 30db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 102020012000120?\nAnswer: -102020012000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.9. Let t(p) = -p**3 - 8*p**2 - 8*p - 5. Let i be t(-7). Let d = -25 + 25.5. Which is the closest to z? (a) 0.3 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*v + 7*v + 7684, 5*w - 9593 = v. What is the remainder when w is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*h = h + 7, 4*h = x + 5. What is the third derivative of -6*i**3 - 15*i**3 + 24*i**2 - 12*i**x - 41*i**2 wrt i?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 18 = 4*m, 3*m + 19*n - 18*n = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**2 + 9*k + 8. Suppose 0 = 15*l - 14*l + 6. Let c = -1 + l. Is t(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141\/(-56) + ((-2340)\/13)\/(-9).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1289 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142857270 divided by -293945?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 5*d**3\/6 - 2*d**2 + d. Let a(y) = -4*y + 3. Let c(n) = -n**2 + 6*n - 8. Let s be c(5). Determine s*b(v) - 4*a(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*t + 3*t - 15, -3*t + l + 15 = 0. Suppose 0 = -5*w + 4*m - t*m + 707, m = 4*w - 576. Let r = w - 100. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n. Let b(l) = l + 3. Let v(h) = 3*b(h) - u(h). Let z(i) = 17*i - 8. Let j(x) = 5*v(x) + 6*z(x). Give j(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602 - 17*s - 602 - 7*s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*y - 3*z + 4*z, z = 5*y + 6. Let k = 283 + -182. Let i = k - 96. Which is the biggest value? (a) 4 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -34. Let 41 - 2*c**j - 8*c - 22 - 25 = 0. What is c?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 872 + 0.2287.\nAnswer: 872.2287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 + (-8)\/(-5). Let t(g) be the first derivative of -2*g**2 + g**6 - 12 + m - 4*g**2. What is the second derivative of t(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 1, y: 4, m: 2, q: 6, i: 2}. What is prob of picking 2 h?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from mmmmmxpmvvmmhp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -51970859.27 to the nearest ten thousand.\nAnswer: -51970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001668590263 rounded to seven decimal places?\nAnswer: -0.0001669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 21*v + 130 = 0. Find the third derivative of 2*b**4 + 22 + 59*b**2 + 6 - v*b**3 - 28 wrt b.\nAnswer: 48*b - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2626.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 35.005, 49, 3, -5 in decreasing order.\nAnswer: 49, 35.005, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from iiiiimmiimm.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*y + 18, -3*j + 4 + 3 = -2*y. Solve 2*o = -p + 7 - 0, -p = j*o - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (19 - 4 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*v + 3799 + 840 = -8159 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51823\/24100 + -2\/6025. Let q be (-1)\/2 + 971847\/(-60). Let f = q + 16192. What is the common denominator of h and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 3*z**5\/20 + 7*z**4\/24 + 10*z**2. What is the second derivative of w(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3021 divided by 159.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - -10. Suppose 4*v + v - 85 = 0. Calculate the remainder when i is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9681 and 5.\nAnswer: 48405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 9 - 3. Suppose -1 + f = h. Find g, given that 1 + g**3 + 0*g + 3 - 3*g**h + 0*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134065\/79 - 1697. What is the closest to 0 in -2, -4, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1351 and 45556.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:17 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(8 + 1970\/(-250))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117742.884 + -118397. Let u = t + 658. Let f = 1.126 + u. Round f to one dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 greater than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*v = -5, -n - 38 = -5*v - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 + 16*a + 4. Let p(u) = -u**2 - 3*u - 1. Calculate -2*f(h) - 11*p(h).\nAnswer: -h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2141 + -2.214109031. What is a rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 3*s**2 - s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2301 - -0.2471. Let x = -1415 - -1414.982828. Let h = x + o. What is h rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496554405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 26 - 17 = 0. Suppose f + t = 3*h, 3*h = h + f + 30. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232112 (base 4) to base 13.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 145.\nAnswer: 46\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**3 - 9*q**3 - 22*q**3)*(-4 + 0 + 5) + (4*q**2 - 5*q**2 + 3*q**2)*(-6*q + 3*q + 2*q) + 1 + q**3 - 1.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l + 6. Let f(k) = -3*k**2 - 10*k - 10. Let i be f(-1). Give y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/6 + 5*y**4\/6 - 41*y**3\/3 + 131*y**2\/3 - 101*y\/2 + 39\/2 = 0. What is y?\nAnswer: -13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and 152.\nAnswer: 151.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**5 - 5825*q**4 - 362270*q**3 - 5230340*q**2 + 18314440*q - 12716000 = 0?\nAnswer: -1100, -34, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/77, -22, -4, 10\/3, -2\/9 in ascending order.\nAnswer: -22, -7, -4, -2\/9, -2\/77, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9306 divided by -18.\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2562?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 17. Let c = -3 - -5. Suppose 4*u + 5*l + 21 = 99, 42 = c*u + 4*l. What is the remainder when i is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 1\/71, 4, -367, -718?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -11)*1\/2. Find g such that -g + 9*g**3 - 4*g**3 - 7*g**2 - 2*g**4 + u*g**2 + 1 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9079 + 17*n - 17598 - 17681 - 2573.\nAnswer: 17*n - 46931","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.05594 times 87\nAnswer: -4.86678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -303, -492, -699, -930, -1191, -1488?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492.3 - 492. Sort -32, r, -0.1, -1 in decreasing order.\nAnswer: r, -0.1, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 1, -4, 2, -2 in increasing order.\nAnswer: -4, -2, 1, 2, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = 30. Suppose -q - 23 = 4*p + 17, 5*p - 35 = 3*q. Let s be ((-16)\/q)\/(3\/15). Solve s = w*y - 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 511, 552, 413, 34, -645, -1684, -3143?\nAnswer: -5082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246092668 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:20 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 6*a**2 - 3*a + 6. Let g(m) = 4*m**3 - 6*m**2 + 4*m - 6. Let r(o) = -4*g(o) - 3*t(o). Let d be r(6). Let f = -21 - d. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3229963297 to the power of 1\/3, to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2 + 43*w + 24. What is o(9)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 + 6*s**2 - 10*s + 6. Let f(z) = 14*z**3 - 17*z**2 + 29*z - 17. Calculate 6*f(d) + 17*v(d).\nAnswer: -d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4080 - 156080. What is z rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 + 2*u. Calculate i(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10799, -10796, -10787, -10772, -10751, -10724?\n\"Answer: 3*f**2 - 6*f - 10796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) -4 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p**(3\/4))**(7\/4)*(p\/p**(3\/10)*p\/((p**5*p)\/p))**(-1\/39) assuming p is positive.\nAnswer: p**(499\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*t + 40 = 0, -q + 5*t = t + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 1\/66*m**4 - 1\/33*m**3 - 11*m - 1\/11*m**2 + 1\/110*m**5 + 0. Factor o(q).\nAnswer: 2*(q - 1)*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**3\/3 - 2. Let y(k) = 32*k**2 + 29*k - 28*k - k. Calculate y(p(o)).\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) 0 (b) -1\/2 (c) 5 (d) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 53a05a9 (base 11) to base 12\nAnswer: 3216964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -884101 or -884106?\nAnswer: -884106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 12*c - 8*c. Solve -c*z - 3*z = 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 59. Suppose 4*r - 6 - h = 0. Suppose 5*j - o - r*o - 45 = 0, 2*o - 2 = -2*j. Solve -2*n + 3*z = -j*n - 1, 5*n + 5 = -5*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + g + 97 = 0, 0 = 3*q + 5*g - g - 68. Let c(a) = -7*a. Let l be c(-4). Suppose -l = -z + 8. Calculate the greatest common factor of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from lolol.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 40\/7, -0.04, 4, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = 0. Let j(v) = -11*v - 41. Let a be j(-4). Solve f*t - t = a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 0, 3\/17, -148\/13 in decreasing order.\nAnswer: 1.2, 3\/17, 0, -148\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -941786 divided by -2\nAnswer: 470893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 23*j + 9. Suppose -3*q = c + 23, -j*c = -3*q - 19 + 2. Sort -13, -1, 1, q.\nAnswer: -13, q, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ea6 + -13a?\nAnswer: 5d6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16431, -5 in descending order.\nAnswer: 16431, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 73*i - 301. What is c(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 25, 30?\n\"Answer: 5*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*a*i**5 + a*i**2 + a*i + 2*i**5 + 3*i + 3 wrt i.\nAnswer: 400*a*i**3 + 2*a + 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/93 (b) -0.4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141, 160, 179, 198, 217?\n\"Answer: 19*j + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 7)*-2 + 715\/11. Solve 0 = 10*o + 17 - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/4 and 31\/249.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Let s = -0.4 - i. What is the biggest value in 0.4, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 4, -0.49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/(-16)*(-16)\/(-12). Suppose x + 8*f - 4*f = 1, 3*x = f + 16. What is the highest common factor of x and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(432) + 5)*-4 + ((-1*(sqrt(3) + -1) + sqrt(27)\/(sqrt(9)*2))*-1)**2).\nAnswer: -98*sqrt(3) - 73\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 times -0.2?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 6:54 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 3*l - 12, 16 = 4*h + 4*l. Suppose h = 3*d + 36. Let w = d + 38. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 2. Let l be z(-1). What is the units digit of ((-2)\/2)\/(l\/(-427))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 3*b)*(5*b + 0*b - 3*b) + (0*b + b - 2*b)*(331 - 331 + 58*b).\nAnswer: -62*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 8*f - 2*f + ((1 - 3 + 1)*(-2 - 2 + 2) + 0 + 1 + 1)*(f - 1 + 1).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022121011100 - -121?\nAnswer: 2022121011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2*f**2 + f + 1. Let b(v) = -2*v**3 - 14*v**2 + 18*v + 19. Let l be b(-8). Suppose -l*h = 6*h + 36. Determine w(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/5370*3\/(-9)*250. Let c = o + 6\/179. Determine u so that 0 + c*u**2 - 2\/3*u = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*s + 2 = 3*s, 0 = -m - s - 2. Let z be ((-52)\/24)\/m + -3 + 5. Which is the second biggest value? (a) 5 (b) -0.5 (c) z (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0492, 2\/5, -466?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 987610.86 seconds in days?\nAnswer: 11.43068125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301047295 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 228*i - 215*i - 52. Let x(w) be the first derivative of -20\/3*w**3 - 9 + 0*w**2 + 0*w - 7*w**i. Find the third derivative of x(l) wrt l.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 633*a**2 + 2229*a - 3523. Determine b(-320).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*d - 22 = 0, -2*b + 28 = 2*b - 5*d. Solve b*h + 3*h - 26 = -m, 0 = 2*m - 3*h + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10230 - -3213?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a - 51. Let m be v(4). Let s be 3 - (15\/m - 2). Solve 2*f + 2*i + s = 0, 2*i = -3*f + 2 - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509, 718, 1077, 1592, 2269, 3114?\nAnswer: 4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 - 1 = 0. Let y = -90 - -99. Suppose -19*p + 100 = -y*p. What is the greatest common divisor of c and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -68. Factor 4*y**2 + k*y**3 - 18*y**4 - 6*y**3 + 2*y + 6*y**2.\nAnswer: -2*y*(y - 1)*(3*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**3 - 11*u**2 - u + 3. Let f(x) = -22*x**3 - 32*x**2 - 2*x + 8. Give -3*f(n) + 8*m(n).\nAnswer: 2*n**3 + 8*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 - 8*g - 6. Let l(q) = -2*q. Let b be l(-3). Does 6 divide z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*k + 12, 4*g + 4 = 104*k - 101*k. Is 39\/16 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k - 109 - 7*k - 13*k + 34*k - 68.\nAnswer: 2*k - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, o: 3, g: 3, l: 6}. What is prob of picking 1 f, 1 l, and 2 g?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5167 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -185640 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/10318 and -131\/2604.\nAnswer: 1919148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (18\/5)\/(-2 + 31\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**4 + 13207*i**3 - 3*i**2 + 570216*i + 1.\nAnswer: 48*i**2 + 79242*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let p(y) be the third derivative of 2\/15*y**5 + 0*y**3 + 0*y + 0 + 7*y**2 + 0*y**4. Calculate a(p(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + y = -3, -2*o - 2*o - 4 = 2*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -m - 4, -3*k + 5*m + 9 = 0. Let a(q) = -q**3 - 3*q**2 + 3*q + 7. What is a(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7))**(5\/8))**(-5\/4)\/(((h*h**(-1)*h)\/((h*h**7*h*h)\/h))\/((h**(-5)\/h)\/(h\/h**(-4)*h))) assuming h is positive.\nAnswer: h**(-473\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -2416?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 3*g**2\/2 + 3*g + 5282. Let d(z) = 4*z + 7. Let v(k) = 3*k + 5. Let r(n) = -5*d(n) + 7*v(n). What is r(u(c))?\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -36089, 11, -110, -1 in increasing order.\nAnswer: -36089, -110, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/7)\/(-7830)*-18?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*i = 29*i + 27*i + 181280. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-60))\/(21\/210).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 18*f**2 + 2*f - 39. Let p be t(18). Sort 11, p, -13, 4 in increasing order.\nAnswer: -13, p, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmo when three letters picked without replacement from {b: 2, a: 1, m: 1, t: 5, o: 4}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 19.1. Let t = -15 + v. Let r(p) = 7*p**2 + 3*p + 1. Let k be r(-1). What is the nearest to t in 0.4, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -50672, -1, -26 in decreasing order.\nAnswer: 4, 0, -1, -26, -50672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8863*p**2 + 2*p - 42865 wrt p?\nAnswer: 17726*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 135 (c) 0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000256 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + 0 + (28 - 34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:14 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 5. Let j(m) = m**2 + 19*m - 22. Let q be j(-20). Let z be g(q). Is -22 - -20 - ((-2)\/z - 267) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*h - 2*h. Let o = h + -1. Put -4, o, -2 in decreasing order.\nAnswer: o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13123252783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*q. Let t be (-2)\/((-1)\/q*-7). Which is the second biggest value? (a) t (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33ca (base 13) to base 15\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -87, -1, 0, -6 in increasing order.\nAnswer: -87, -6, -1, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**6\/6 + 43*f**5\/4 + 765*f**4\/4 - 10115*f**3\/6 - 98260*f**2 - 3915*f. Solve a(r) = 0.\nAnswer: -17, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-640)*-8)\/((-6)\/(-5)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38655*i**4 + 4841*i**2 wrt i.\nAnswer: -927720*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2 + 4. Let s(k) = k. Determine z(s(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:50 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = f - 2*q, -2*q + 56 - 8 = -4*f. Let z(c) = 2*c + 28. Let d be z(f). What is v in -19*v**4 + 62*v**2 - 50*v**2 - 8*v + 7*v**d + 8*v**3 = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3537631 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(176))**2)*1 + sqrt(44)*-1.\nAnswer: -sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/(21 + (23 - 40))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b. Let q = -4 + 7. Suppose -q*g + b = -3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7152967, 7152992, 7153065, 7153210, 7153451, 7153812, 7154317?\n\"Answer: 4*a**3 - 3*a + 7152966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -7*r**4\/6 + 156*r + 2. Let f(d) = 412*d. Calculate f(n(z)).\nAnswer: -5768*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3638 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9 - 9. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 4404.3\nAnswer: -220.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 13. Suppose 4*w = 5*j - 70, j - t = -w + 7. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + 11*a**2 + 16*a + 8. Let r(o) = -5*o**3 - 33*o**2 - 48*o - 23. Let p(f) = 8*h(f) + 3*r(f). Is p(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176768758 is divided by 7620.\nAnswer: 7618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 + 1 - (33 - 29)) + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s + 38761 - 75519 = -37858 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert ccc08 (base 13) to base 8.\nAnswer: 1324674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - r = -2244, 12*o - 11*o - 107 = -3*r. Calculate the remainder when o is divided by 108.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:52 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 391 - 391 + 2*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - m - 1035 = 0, 0 = 5*h + 2*m - 1297. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 3. Let r be (-15)\/(-6)*(-8)\/10. Let y be q(r). Let n be 2\/(y\/(2\/(-4))). What is the biggest value in -4, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*v - 67*v = -134*v - 200*v - 6642 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*v + 65*v + 611*v**3 + 58*v + 65*v)*(-3*v + 22 - 22).\nAnswer: -1833*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -278 + 492. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19974 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/11 - (-192)\/(-704). Let w(t) = -t**3 + 4*t**2 + 6*t - 1. Let a be w(5). Suppose a*f - q*f = -597. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 893572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 6. Let r = 61 - 64. Let t be j(r). Is -762*(-4 + t)\/3 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 189173?\nAnswer: 101, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + 4*q**3 + 0*q**3 - 22*q**3 + 501*q**3 - 88*q**3 + (2*q + 2*q - 3*q)*(0*q**2 + 0*q**2 + 2*q**2) as r*q**2 + h + p*q**3 + i*q and give p.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*b + 14 = -45, 0 = -b - 4. Let z(x) = x**3 - 13*x**2 - 4*x - 8. What is z(m)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312020 (base 6) in base 16?\nAnswer: -1182c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q)*(9*q + 231*q + 19*q) - 4*q**2 - 3*q**2 + 5*q**2.\nAnswer: -261*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 0.53237523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - 36a206?\nAnswer: -36a232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 5*l. Suppose 0 = -6*y + 11*y - 35. Suppose -2*b = 3*k - y*b - 35, 5*k - 3*b = 37. What is the remainder when n(2) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 150516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -1055.\nAnswer: 25\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33874127069+0.215\nAnswer: 33874127069.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -130275.943 rounded to the nearest 10?\nAnswer: -130280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 12*i - 18. Let b be p(-6). Let o be (-24)\/(-15)*135\/b. Solve -o = 8*s - 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1980 = f, -17*f + 19*f = -3*a - 1983. Let g = -711 - a. Which is smaller: g or -45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 + 24982*c\/3 + 49928 = 0.\nAnswer: -24964\/3, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -1812, 3, 4, -3, 5 in decreasing order.\nAnswer: 9, 5, 4, 3, 2, -3, -1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 78 times 0.01\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, w: 1, y: 6}. What is prob of sequence aya?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.702 and 801259187.\nAnswer: 801259187.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by -33?\nAnswer: 155\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.179, -5, -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(68) - sqrt(68))*-4 + -4*(2 + sqrt(68)) - ((sqrt(68) - ((sqrt(68) + 2 + sqrt(68))*5)**2) + 2*sqrt(68)*-1)) + 4.\nAnswer: 410*sqrt(17) + 6897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/112 and 69\/6860.\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**11\/13860 + c**7\/420 + c**4\/3 + c. Let o(f) be the third derivative of l(f). Find the third derivative of o(p) wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, p: 1, w: 1}. What is prob of sequence wipi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-22 + (14 - (-12 - -14)) + 17)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w - 40. Let g(i) = i**3 - 6*i**2 + 3*i - 5. Let x be g(6). Let s be v(x). Calculate the greatest common divisor of 64 and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.3. Let c = 87 - 86.7. What is the second biggest value in b, -1, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/184 + (-25)\/(-8) - 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 156330 divided by -26055\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -0.1 (c) 11.97 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421940656 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -6*i + 10. Let w be -1 + (i - (2 + -1)) + 1. Solve -2*b + 0*u + 6 = 2*u, -3*b - u + 3 = w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 666*t**2 + 1098*t + 158991. Determine n(668).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -4*w**7\/105 - 2*w**6\/15 + 11*w**5\/30 - w**4\/4 - 41*w**2. Solve m(j) = 0 for j.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*k - 5160072 = -32*k. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + (-134)\/(-4). Let v be 3 - (-1)\/(h\/(-102)). What is the second smallest value in -3\/8, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/4 - (-3)\/(-6). Let l = r + 13. Factor -1\/7*w**2 + 0*w**l + 1\/7*w**4 + 0*w + 0.\nAnswer: w**2*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*t)*(19*t + 13*t - 46*t + 1357*t**2 + 14*t).\nAnswer: 5428*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -95786109999.\nAnswer: -95786109998.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-490)\/(-1015))\/(266\/(-57))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = t + 16, w + 7*t - 2*t - 19 = 0. Calculate the greatest common divisor of w and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 36*m**2 + 976*m + 114. Calculate x(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 0, -3, 1, -8 in descending order.\nAnswer: 30, 1, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 6*r**2 + 21*r - 130. Let v be o(5). Calculate the highest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 + 5*u - 1. Let d be j(6). Let o = d - 46. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -43 + -14 + (7 + -7 - -16).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13031 (base 4) to base 8.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 17. Suppose 4*p - f = 3*p. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*w**2 - 201*w**2 + 75*w**3 - 4*w**3 - 90*w**2.\nAnswer: 71*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8966524481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.9313 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 f when four letters picked without replacement from {f: 7, a: 4, k: 2}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 260*y + 20705. What is p(68)?\nAnswer: -1599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 3. Suppose k - 2*w - b = 0, -2*k - k = -4*w - 26. Is (-296)\/(-6) + (-2)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*v + 192 = -248*v. What is the remainder when 260 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 - 6*g + 3*g**2 - 8*g - 2*g**3 - 5*g + 16*g. Let f(l) = 3*l**3 - 5*l**2 + 5*l - 4. Determine -3*f(v) - 5*w(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 146. Let y be (q\/(-7))\/(2 + (-75)\/37). Which is smaller: 38 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2, -9.92, 8\/19, 1 in decreasing order.\nAnswer: 5, 2, 1, 8\/19, -4, -9.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkmemfkfkoeofkko. Give prob of picking 1 e, 2 o, and 1 m.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 + -763 + (-62 - -21)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2270433 - -4?\nAnswer: -2270427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*i + 592 = 629, -2*p - 3785 = -223*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + 16 + -53)*(-30)\/70)\/((-3)\/(-8))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6 - 6)) + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 2*p**5 + 0*p**5 + 6*p**5 - 4*p**5 - p**5 + (-4*p**2 - 2*p**3 + 4*p**2)*(p**2 - 5*p**2 + 3*p**2) - 2 + 2 + 2*p**5 + 9*p**5 - p**5 - p**5.\nAnswer: 14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -16776.\nAnswer: 5\/16776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 = 1264*k - 1297*k + 198 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 375.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.5 and -0.069?\nAnswer: 1.8285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 316134503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745.9285ml to litres.\nAnswer: 0.7459285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -40. Let u(q) = q**3 + 16*q**2 + 12*q - 34. What is the remainder when 17 is divided by u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6152 is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (3 + -13)\/(2\/(-19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 29.64567nm?\nAnswer: 0.00000000002964567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/156877 or 0?\nAnswer: 24\/156877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**2 + 18480*t + 614196 = 0.\nAnswer: -33, 4653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3. Let l be 0\/(3*-1 - i). Suppose 5*z + l - 56 = t, -37 = -3*z + 4*t. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(320)*5)\/(sqrt(288) + -2*sqrt(288)))\/(((sqrt(480) - (sqrt(480) + sqrt(480)*-2))\/sqrt(12))\/(sqrt(5) - -1*sqrt(5)*1)))**2.\nAnswer: 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 4229024.\nAnswer: -42290.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*a + 2*b = -109*a - 1734, -b + 2157 = 5*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4 + 4)*(0 + 0 + 2*l) + 2533*l**2 - 60 - 2524*l**2 - 36 + (-4*l + 5*l + 0*l)*(1 - l - 1).\nAnswer: 12*l**2 - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39005.63 minutes to milliseconds.\nAnswer: 2340337800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(78)\/sqrt(6))**2)*-4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -1\/8, 7\/4, -0.3, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106748 + 547071. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1292.98, 220 in ascending order.\nAnswer: -0.5, 220, 1292.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 499483403?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**7\/1260 - l**4\/12 + l. Let p(h) be the third derivative of n(h). Let i(w) = 11 - 2*w - 11. What is i(p(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*w + 6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 8.\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = b. Let w = -2 - -10. Let m be (w + -4)*22\/8. Solve 20 = d - b*i, -3*i = 5*d - m + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6627816 and 22698.\nAnswer: 6627816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -17 - 14) + -2 - -21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - h**2 - 12*h**3 + h**2 - h**3 in the form l + z*h**3 + q*h + p*h**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -176, -717, -1608, -2843, -4416?\n\"Answer: q**3 - 181*q**2 - 5*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1217, 5, -22, -45, 0.2, 3\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 58 - ((6 - 12) + 41)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360139 and 111878.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794140191?\nAnswer: 2794140191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.88346l to millilitres.\nAnswer: 59883.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggwg when four letters picked without replacement from gvcyyygcwcggy?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 149*q - 189 = -141*q + 296*q, 5*d + 67 = -2*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*d + 47680, 5*d - 16904 = -5*z + 30776. List the prime factors of d.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 82*c - 2. Let h(x) = -166*x + 4. What is -6*h(y) - 11*t(y)?\nAnswer: 94*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 0*l**3 + 3*l**3 + (0*l + 2*l - 3*l)*(0 + 0 - 4*l**2) + (-3*l**3 - 2*l**3 + 3*l**3)*(1 + 0 + 0).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 10*f + 13 = 0. Is -0.3 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 6. Let r be n(-3). Suppose -r*q = 5*i + 32, q + i = -0*i - 8. Let f be 15\/(-30) - 362\/q. What is the highest common factor of f and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 71*h**2 - 277*h + 114. Let u be p(-31). What is the greatest common divisor of 2041 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:42 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6922*k**2 - 356 - 366 + 722 - 8308*k**2 in the form o*k + g*k**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 0*t + t)*(3*t - 2 + 2)*(3 + 0 - 4) to u*t**2 + g + h*t and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-12))\/(12\/48). Let q(s) = -s**3 - s**2. Determine q(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 30*t - 36*t. Suppose -t*z = -22 - 10. Solve -5*g - 1 = -z*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -0.4 (b) 3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*-9*17\/(-153).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1463181 to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40)*15*(-148)\/(-1110)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*t - 16. Let x be (-30)\/(-4)*(t - 16\/12). Suppose -a - 2697 = -6*a - 2*i, x*a - 5*i - 2725 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 1\/3, -4 in decreasing order.\nAnswer: 0.5, 1\/3, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*g + 524*g - v + 28 = 1048*g, -5*g + 93 = 14*v for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -15*j - 106. What is the tens digit of n(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -104*v**3 + 2*v**2 + 5*v + 4. What is l(-1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/3 - 62*s**4\/3 + 188*s**3 - 1288*s**2\/3 + 784*s\/3 = 0.\nAnswer: 0, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165053, -329943, -494833, -659723?\nAnswer: -824613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 66481956*o + 552481309198242.\nAnswer: 2*(o - 16620489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*h + 178, -4*k - h - 154 + 520 = 0. What is the remainder when k is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 58922*p\/7 + 14779248\/7.\nAnswer: 2*(p + 253)*(p + 29208)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 4*r**2 + 2*r + 6. Let t(i) be the third derivative of i**6\/120 - i**5\/60 + i**4\/24 + i**3\/6 + 7*i**2 - i. Calculate m(x) - 4*t(x).\nAnswer: -2*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 35*s**2 + s - 57. Let h(g) = -8*g**2 + 12. Let l(t) = -9*h(t) - 2*v(t). Let q(z) = 10*z**2 - 10*z + 29. Give 11*l(d) - 2*q(d).\nAnswer: 2*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/12 - 3*r**3\/2 - 2*r**2 - 2*r + 1. Let k(l) be the first derivative of i(l). Is 14 a factor of k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (14 - 4)) + 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in -1184\/7, 0.2, -6\/11, 4, 2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079648.\nAnswer: 2, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-70))\/((2\/8)\/(15\/(-30)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 not equal to 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49941 - 49386.8672. Let i = 554 - g. Round i to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqrryzyayzraaanarra. What is prob of sequence znr?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/(-28) + (-43732)\/(-16). Suppose 15*n - 11*n = j. What are the prime factors of n?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -56 + 33 - (0 - 8 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and (1\/(-12)*-9)\/3 - 111\/(-4)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2)\/(-5)*8. Suppose 249 = 3*l - 3*x, 0 = 2*l + q*x - x - 186. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 10) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*f = 3*f - 46, 2*y = 5*f + 32. Suppose -y = -0*b - b. Let q be -3 + (-1)\/3 + 790\/30. Solve -l = l + 4*t + b, 4*l = 3*t - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 35973*p + 11137458.\nAnswer: -3*(p - 12293)*(p + 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*k - 127659 + 16611, 0 = -2*l - k + 111040. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*j - 5. Let g be 6\/2 - (j + 5). Solve a = 4*l + 8, -a + 4 = -3*l - g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8400)\/(-19) + (-6)\/57. Suppose 445*h - 53349 = g*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521522*v = -1521288*v - 26910 for v.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -0.1, 1\/5, -80, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9166 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 190 - 4782?\nAnswer: -4592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2718 + 2824 - 12*w**2 - 5467 + 11*w**2 + 15*w as m*w**2 + n*w + p and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642 - 327 - 315 - 5*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82600\/(-560) + 146)\/(2\/44 - 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2017928156 to the nearest integer?\nAnswer: 44921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, x: 3, v: 6, o: 1}. Give prob of sequence wv.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.165 - -1148.265. Round u to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 687, 5157, 17303, 40965, 79983, 138197, 219447?\n\"Answer: 640*h**3 - 2*h**2 - 4*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t. Let u(r) be the second derivative of 5*r**3\/3 + r**2\/2 + r + 95. Determine 7*c(g) - 2*u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 449773412 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -3\/4, 0.3, 51, 0.03.\nAnswer: -1.3, -3\/4, 0.03, 0.3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - k + 56, -2*k + 2 = -k. Let a be p\/(-10) - -2 - 0. Suppose 59*r - 6 = 61*r. Sort r, a, -5.\nAnswer: -5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 = -o. Let j = 36 + -26. What is the least common multiple of o and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.139, -238, -6 in ascending order.\nAnswer: -238, -6, 0.139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 1)*(0*h - h + 0*h)*(h + 0*h - 2*h) + 0*h + h**2 + 0*h.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o - 3. Let w(t) = -18*t**2 - 45*t + 45. Let h(v) = -30*p(v) - 2*w(v). Let g(f) = -62*f. Calculate h(g(y)).\nAnswer: 23064*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2548, -2549, -2550, -2551?\nAnswer: -2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*m + 1)*(4 - 3 - 2)*(-5*m - m + 12*m) in the form y*m + k*m**2 + t and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1559)\/(-5) + -2. Let n = o - 288. Calculate the least common multiple of 90 and n.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -352956.587884 and -0.13.\nAnswer: -352956.717884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 15*p - 15. Let s = 258 + -259. Put p, s, -12, 2 in ascending order.\nAnswer: -12, s, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let g be v\/2*(-1 + 1). Let d = -3298\/11 - -300. Does g = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 2857*u**2 + 40195*u - 27. Determine l(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 304720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-168)\/9 - (-2)\/(-3). Let n = -9 + h. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*s + 36*s + 35*s - 2*s**3 + 29*s + 34*s - 2*s**3.\nAnswer: -4*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/2310 and 61\/164670?\nAnswer: 1152690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 108 = -8*o. Suppose -k = z - 4 - o, 4*k = 3*z + 110. Let p = k - 28. Solve 2 = -y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21203040 and 15485.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 13. Let n = -15 + 23. Calculate the remainder when j is divided by (-2)\/(-8) - (-54)\/n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 38, 40, 24, -16, -86, -192?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 888, 1782, 2944, 4374?\nAnswer: 6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*x**4 + 3033017*x**3 - 110*x**2 + 129196*x + 2?\nAnswer: -384*x + 18198102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/70 and -18\/218813?\nAnswer: 2188130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 0.5, 0.08 in descending order.\nAnswer: 0.5, 0.08, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1064 and ((-2)\/(-32))\/((-6195)\/310 - -20).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*f - 5. Let p = 9 + f. Solve -d + 12 = -p*y, 4*y + 19 = 2*d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 9*i + 238. Round i to 0 dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22724 - 0?\nAnswer: -22724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k + 15. Let h be b(0). Suppose -10*d = -5*d - h. Find the second derivative of -2*m - 3 + m**2 + d + 4*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 4*t**2 - 4. Let h = -3603 - -3600. Let a(y) = -y**3 - y**2 - 2*y**2 + 3 + 2*y**3. What is h*k(s) - 4*a(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1407 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t - 4. Let q be v(2). Let u be q*(0 - 85\/(-15)). Suppose -u - 42 = -4*l. Is l < 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(847) + -1)*-4*-4 + sqrt(847) + (2 + sqrt(847) - sqrt(847)) + 1 + (-3 + sqrt(847) + -2 + sqrt(847) - sqrt(847)))**2.\nAnswer: -95832*sqrt(7) + 3693888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*(32 + -54 + 21) + 36\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438143.71 rounded to the nearest one thousand?\nAnswer: -1438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4 + 15*z**3 - 45*z**2 - 115*z - 60 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 32105. Let j(d) = -2*d - 34. Calculate a(j(c)).\nAnswer: -20*c**2 - 680*c + 26325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11902123*w**4 - 28500*w**2 + 260*w wrt w?\nAnswer: 285650952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*s + 21*s**3 + 93044*s**2 + 4*s**4 - 93044*s**2 + 4404 wrt s.\nAnswer: 16*s**3 + 63*s**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.88935577 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5 + 15. Suppose -1107 = 5*v + p*o, -4*v + 4*o - 1375 = -475. Let u = 2009\/9 + v. Sort u, 0.5, 0 in increasing order.\nAnswer: 0, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -1563?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26017, -52161, -78267, -104335, -130365, -156357, -182311?\n\"Answer: 19*q**2 - 26201*q + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 3*y + 61. Suppose 20 = -5*p, 98 = -2*n - 2*p - 26. Let c = n - -58. List the prime factors of j(c).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + d**2 - 2*d + 0*d. Let p be u(-3). Let o = -5 - -10. Put o, p, -5 in increasing order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/54*13473\/(-2994).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - (-555 + 555 + -1 + 0 + -3)) + -1.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 20. Let w = -12 - t. Suppose w*j - 2*j = 600000. What is j rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -653 + -3?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(-214)\/428*8*-5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 498 + -434 + -16 + -19.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 0.06.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -9636 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -75*i**2\/2 - 28*i + 30. Let b(o) = -76*o - 29. Let l(w) = -3*b(w) + 2*f(w). Find the first derivative of l(n) wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1229 or 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 0.034?\nAnswer: 11.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:50 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 2\/9, -3\/4, 3.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 287521472 to the power of 1\/2, to the nearest integer?\nAnswer: 16956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*j + j + 4*v, 7 = -2*j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + b**2 + 14. Let k(f) = f**2 - f - 2. Let j be k(2). Determine t(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 - 1 - 18*n)*(0*n + 0*n + n**4).\nAnswer: -18*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45528 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:13 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/9 + 6\/27. Let j be (1\/2)\/(2*(-4)\/(-112)). Let h = s + j. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -456 - -860. Let u = v - 202. Suppose 2*w - 362 = -2*x + u, w = 3*x + 286. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571162362 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 + -629. Let l = -235 - y. Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (3 - -33) - 29\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349429693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 4*n - 3. Let q(z) = z**2 - 4*z - 3. Let v be q(5). Let c be (v + -3)*(-2)\/(-1). List the prime factors of s(c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 320 = -3*d. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*c = -17, -5*w + w = 2*c - 14. Let j be 793800034\/w - (-4)\/6. Let a be j\/42 - (-4)\/(-14). Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5710 = -2*w - 4*k, 0 = 3*w - k + 4*k - 8577. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803871.\nAnswer: 3, 19, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14241)\/282 + 117)*12\/14?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153018317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 - 1 = 0. What is the least common multiple of (-2 + 1)*3 - -13 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = -0*q. Let i(l) be the third derivative of 1\/120*l**q + 0*l**4 + 0 - 1\/6*l**3 + 0*l + 0*l**5 + l**2. Find the first derivative of i(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/9 in -0.06, -2, -0.5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 2\/5, -5, -3 in increasing order.\nAnswer: -5, -3, 2\/5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 15. Let g be d(8). Let c be g + 1 + (4 - 2). Calculate the common denominator of -85\/8 and (3\/c)\/((-9)\/166).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 4*d**3 - 196*d**2 - 196*d.\nAnswer: 4*d*(d - 7)*(d + 1)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - 2*d + 3. Let y be m(-5). Suppose -3 = -5*h - y. Let q be (-1)\/((-2)\/(-64)) + h. What is q rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 402, 901, 1588, 2457, 3502?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553575 is divided by 160.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:19 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/(-13))*-2. Let a = -8092 - -8144. What is the highest common divisor of a and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -0.19, 3165?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33*(0 - (-3)\/(-9)). Calculate the greatest common divisor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2908 - 338 = -z, m - 5*z = 644. Suppose 3*u - 14*u = -m. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 31152*l + 499456.\nAnswer: -4*(l - 7804)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 84 = 3*y. Suppose 4*v - 3 = y. What is the units digit of 3\/(-6)*v + 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*((-2*f**2 - 2*f**2 + 3*f**2)*(9*f**3 - 68*f**2 + 68*f**2) + (3*f**4 + f**4 - 6*f**4)*(0*f - 3*f + 2*f) - 3*f**5 + 0*f**4 + 0*f**4).\nAnswer: 50*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4686885 to the nearest integer?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 4*f - 4, -5*g - 4*f + 18 = 0. Determine l, given that 0 - 4\/11*l + 2\/11*l**g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*d + 4*j, -2*d + 44 = 2*d - 4*j. Suppose -d*g - 23 = -119. Suppose -g + 12 = -m. Solve -4*f - 8 = 4*p, -4*p + f - 7 = m*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9223330 rounded to the nearest 10000?\nAnswer: 9220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 73.9678. Let g = 0 - 0.028. Let k = g - n. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 4*h - 2. Let a be z(3). Let n be 4\/a + 58\/(-120). Let k(s) = -s**3 - 53*s**2 + 49*s - 269. Let q be k(-54). Is q smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/6)\/(((-1)\/(-10))\/(-1)). Suppose 0 = -3*x - 0*g - 2*g + t, 2*x + 4*g = 14. Calculate the smallest common multiple of x and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 41*a + 90 = 0. Solve g + a*r - 4 = 2*g, -g - 3 = -4*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = l + m, 3*m = 12. Let a(g) = 0*g**2 - 3*g**2 + 33*g - 39*g. Let p(x) = x. Let b(v) = l*a(v) + 4*p(v). Factor b(t).\nAnswer: -t*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257306\/25 or -10293?\nAnswer: -10293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -17*c**4\/4 + 12*c + 11. Differentiate h(a) with respect to a.\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9124482 to the nearest integer?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2486*q**2 + 26*q. Let k(d) = -130*d. Give i(k(y)).\nAnswer: 42013400*y**2 - 3380*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -994 + 3154 = 30*l. Suppose -l = -32*m + 56. Solve m*i = i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89706676, -89706674, -89706672, -89706670, -89706668, -89706666?\n\"Answer: 2*k - 89706678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*y + 80*y**4 + 3482*y**2 - 120*y - 81*y**4 - 4540 wrt y.\nAnswer: -4*y**3 + 6964*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 73 + 144 + 570*d**3 - 46*d**3.\nAnswer: 524*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 25*a + 106. Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73\/3 + -24. Which is the nearest to d? (a) 5 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3597051 is divided by 7686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z + 3*z)*(1 - 1 + 5*z**3).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25))\/(3\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 24*n = 0. Suppose n = -4*z + y - 121, -z = -5*z + 5*y - 109. Let h = z + 44. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a - a - 6)*(7425 - 3723 - 3799).\nAnswer: 194*a + 582","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -209290015 divided by 3805273\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = a + 1. Let n(r) = -3*r - 2. Let l(m) = 5*m + 4. Let o(t) = -4*l(t) - 7*n(t). Calculate the remainder when a is divided by o(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 10) in base 4?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/21591 or -1?\nAnswer: 20\/21591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.2995 to 1 dp.\nAnswer: 171.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g + 4. Let h be m(0). Let v be 42*(-62 + 61)*2\/(-4). Solve -h*w + 1 - v = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t)*(0*t**2 + 4*t**2 - 4 + 5).\nAnswer: 4*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 12. Let y = -2 + u. Solve 3*n + 2*n + y = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from llooooololoooo.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 12}. Give prob of picking 1 x and 1 i.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 28*n + 140. Let u be m(-5). What is the third derivative of 0*x**3 + 116 - 73*x**2 - 116 + 0*x**3 + 2*x + u*x**4 wrt x?\nAnswer: 2400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/4 - 191\/(-4) and (-10)\/6*(-65065)\/7150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192867 is divided by 317.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 101. Let q(c) = 37*c + 31. Is 14 a factor of q(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -300000*i**3 + i. Let o = 45 - 43. Let p be q(o). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*o + 6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/24)\/5)\/((-27)\/72)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.6298 micrograms in kilograms?\nAnswer: 0.0000000806298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**3*k**3 + 2*c**3*k**2 + 260*c**3*k + 14*c*k + 7*k**2 wrt k.\nAnswer: -36*c**3*k + 4*c**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118798*b**4 + 2*b**3 - 5588552*b**2?\nAnswer: -2851152*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -1\/2, 3, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u**2 + 7*u + 4. Let i be f(-7). Suppose -4*y + 0*y = m - i, 0 = 2*y - m - 267. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83, -148, -227, -326, -451, -608, -803?\n\"Answer: -d**3 - d**2 - 55*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**3 + 157720*i**2 + 10431980*i - 21494800 = 0. Calculate i.\nAnswer: -68, 2, 31610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 1\/3, 0.12, 9, 0.23, 2 in descending order.\nAnswer: 190, 9, 2, 1\/3, 0.23, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.06499.\nAnswer: 0.006499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*b + 7 = 0, 0 = 2*r + 2*b + 1 + 1. What is the units digit of r + ((-8)\/4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - -144262?\nAnswer: 144289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4, 0 = -2*q - 0*b - 5*b + 158. Suppose z - 3*u - u = 22, -4*z - 3*u + q = 0. List the prime factors of ((36\/(-6))\/z)\/(2\/(-96)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6987 - 6107 = 88*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y - 3 = -4*i, -3*i + 5*y = -27. Let s(t) = -t. Let j(g) = 7*g - 4. Let l(a) = -j(a) - 6*s(a). Calculate l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*q - 1504 = -3*y, -5*y + 1498 = -q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 996.1 + -996. Let o = 0.1 - 0.2. Let r = 1 + 16. What is the nearest to o in r, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 + -1 - ((-40 - -28) + 0)) + (-3 - -4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/4 + 8*i**3 - i**2\/2 + 59*i + 70. Let s = 54 - 30. Is 7 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 4336712.\nAnswer: -3\/1084178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 800.\nAnswer: -9\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + c = 15*f + 15, 3*f + c = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 31*c + 6. Let u(p) = 319*p + 844*p - 110*p - 429*p + 341 + 1143*p. What is -341*a(n) + 6*u(n)?\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-405)\/(-30)*2270\/4 - 2\/8.\nAnswer: 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -73686?\nAnswer: -1\/24562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/174 and 137\/851646.\nAnswer: 24697734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32886 = 7*f + 35*f. Let c = f - 373. What are the prime factors of c?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 1.2128, -1?\nAnswer: 1.2128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 z, and 1 u when four letters picked without replacement from {d: 1, z: 8, b: 7, u: 2}.\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -23*i**2 + 184*i - 184. Let u(h) = h - 1. Calculate 5*p(j) - 920*u(j).\nAnswer: -115*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + 9*w**2 - 2*w - 6. Let b(y) = 3*y**3 + 6*y**2 - y - 4. Let o(z) = 7*b(z) - 5*x(z). Calculate o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1891217677 to the nearest integer?\nAnswer: 43488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/47 (b) 0.3 (c) -9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Sort -0.2, c, -16\/3.\nAnswer: -16\/3, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 2 + 1 + 1 - 24*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*x - 78*x - 5711 = -1551. Which is the second biggest value? (a) 2 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/155 and -2\/5.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from bxxbffwfwxwbf.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + u + 7771, -2*p - 17*u + 3887 = -16*u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 862 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g = -40. Suppose -4*n = -5*o + 2 - g, -5*n = 2*o - 10. List the prime factors of o - (-2 - (1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168 + 400. What is the first derivative of -75 - 233*i**2 + 0*i + v*i**2 + 0*i wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 45 - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34229 divided by 34229.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbtttbbb. Give prob of sequence tb.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1474 + -1447. Which is the third smallest value? (a) 0.02 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 278 = -n + 346, 3*y = -n + 38. Solve -a + 5*a + 2*f + 6 = 0, y = -a + 4*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 6, n: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 6:07 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:18 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020708623695 to 7 decimal places.\nAnswer: -0.0207086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*h + 6*a - 6, 4 + 3 = -h - 6*a - 43*a + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 3. Let h(p) = -1. Let v(s) = -2*s - 6. Let f(o) = -4*h(o) + v(o). Suppose 4*a + 5*l = -25, l + 13 + 13 = -5*a. Determine a*f(b) - 3*n(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/17 + 9\/85. Let t be 1\/((-3)\/15*-1). Suppose 3 = 2*d + t. Put 5, v, d in ascending order.\nAnswer: d, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 times 294964\nAnswer: 9143.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.18 - -0.18. Let h = -16.846 + 16.746. Which is the nearest to -0.2? (a) q (b) h (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-3\/41)*(j**0)**(-1\/12) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419997640.\nAnswer: 2, 5, 47, 223403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuubuuvuuvuvuussuus. What is prob of picking 1 s and 1 u?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -585 + 1695. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 3:40 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zibgkqg. What is prob of sequence ig?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2640 - -2720. Solve 0 = 86*b - w*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.12 + 98.12. Let l = -14 + 236\/17. Which is the third smallest value? (a) 4 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742598 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -18*k**5\/5 + k - 82. What is the first derivative of b(c) wrt c?\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68347259?\nAnswer: 17, 47, 113, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253867 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/9 + 766*f**2\/9 + 24320*f\/3 - 8192 = 0. What is f?\nAnswer: -192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-2*4)\/sqrt(8))\/(-6*(sqrt(343) - sqrt(343)*2)).\nAnswer: -4*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -19. Let z = c + -12.2. Suppose -54*y + 84 = -12*y. What is the nearest to y in z, -5, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191011?\nAnswer: 251, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -817 (c) -1\/2 (d) -2 (e) 0 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025960989 to seven decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -11*i**5\/15 + 26*i**2. Let n(d) = -d. What is n(x(h))?\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.072 + -8.628. Let s = m - -16. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 6*h - 21. Suppose 0 = h*t - 4*t - 5. Solve 2*q - k + 10 = 1, -t = k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37019894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/28*2\/(-2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 7 + 18*g)*(-4 - 4 + 1)*(-1 + 1 + 2*g).\nAnswer: -252*g**2 - 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 36*k**2 + 8 + 12*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979620794344 plus -0.019?\nAnswer: 3979620794343.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 4*h + 10, 0 = -3*a - 3*h. What is the biggest value in 1\/4, a, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -6*o**4 + 17*o**2\/2 - 5. What is the second derivative of g(j) wrt j?\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-2591479\nAnswer: -103659.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-1)\/6). Let i = 10 - 6. Suppose 0 = -2*w - 3*r - 2 + 3, 2*w = -2*r. Put i, f, w in ascending order.\nAnswer: f, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {z: 1, d: 2, p: 1, c: 1, q: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = 1. Let j = t - -3. What is the derivative of -4*o**3 + j + 0*o**3 - 5 + o**3 wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**3 - 2*c**2)*(1 - 2*c**2 - 3*c**2 + 2*c**2)*(1 - 2 - 1).\nAnswer: 6*c**5 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442154 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3285, 6576, 9857, 13122, 16365, 19580, 22761?\n\"Answer: -v**3 + v**2 + 3295*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 264 = -4*z. Let b = z + -49. Find the common denominator of 86\/(-10) + (-2 - b) and 109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 10*t - 24*t**3 - 1 + 24*t - 14*t to h*t**3 + x*t + q*t**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 69. Let g = z - -95. Let w = -159.0744 + g. Round w to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**2 - 23*j**2 - 58848736 + 58848736.\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2 + 0*k**2 + k**3 + 5*k**2 + k - 2 + k. Let p be w(0). What is the closest to 1 in 1, 2, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfuhnnqfffngfghfh. What is prob of sequence gnh?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 120*r**2 + 106*r + 64. Let h(t) = 15*t**2 + 13*t + 8. Let m(f) = 17*h(f) - 2*p(f). Give m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1008)*-2*-5)**2.\nAnswer: 100798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102112200213 + -12?\nAnswer: 102112200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.0554 meters in nanometers?\nAnswer: 770055400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 2, n: 1, x: 4, y: 1, p: 1}. What is prob of picking 2 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20668, -41307, -61946, -82585, -103224, -123863?\n\"Answer: -20639*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 11*p + 14. Calculate the remainder when 39 is divided by m(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)*(0 - 0). Let b be (-7 - -2)\/(3 + -4). Solve -b*r - 3 - 22 = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**5 - 16*x**2 - 1\/15*x**7 + 0*x**6 + 0*x**3 + 77\/24*x**4 + 0*x - 1. What is the second derivative of q(n) wrt n?\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, 2\/9, 3, -0.0056?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*t + 945 = -45*t. Let c = -6 + 6. What is the closest to -2\/7 in c, 1, 2, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 14. Let z be (-9)\/(-15) - a\/(-15). Suppose z*n + 6 = 0, -3*b - 4*n + 18 = -0*n. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 - 2 + 2)*(-1 - 7 + 5) + 0*k**2 - 4*k**2 + 3*k**2 + (-2*k + 2*k + 2*k)*(-2*k + 4*k - k) + 3*k**2 - 2*k + 2*k + (-3*k - 7*k + 12*k)*(-7 - k + 7).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -997 + 1231. What is the remainder when p\/507 - (-1918)\/13 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 + 14*n**3 - 26*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*t. Suppose -n = -t*n + 4. Solve x = -n*l + 17, 2*l - 27 = -3*x - 2*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66048 + 107607. Factor -s*h + 163*h**3 - 232*h**3 - 195*h**3 - 1033*h + 2588*h**2 + 4*h**4 + 3220*h**2.\nAnswer: 4*h*(h - 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6177 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjijad. Give prob of sequence jjda.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4866 and 1.34755.\nAnswer: 4867.34755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let h(w) = 4*w**2 + 28*w + 28. Let g(r) = -3*h(r) - 84*t(r). Let c(m) = -m**2. What is g(c(z))?\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*((-726)\/(-33))\/154?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y - 8. Let h(v) = v**2 - 4*v + 1. Let i be h(4). Suppose 2*j + 3 = -i. Let s be j\/(6\/(1 - 4)). Let x(u) = -u - 1. Calculate s*r(t) - 8*x(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j - 1. Solve 12 = a - j*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48657 divided by -147.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110111010011111100010110 + -10?\nAnswer: -1100110111010011111100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 11*f + 6. Let s(r) = -5*r**2 + 12*r - 5. Let k(g) = -6*j(g) - 5*s(g). What are the prime factors of k(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1478082186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 483 + -6757\/14. Let k = w + 5\/182. Are k and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 162.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eeeqqee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27208444 and 74823221.\nAnswer: 299292884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*n**2 + 111*n**2 - 35*n**2 + 2*n**3 - n**3.\nAnswer: n**3 + 28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 - 80720727*h\/7 - 11531532.\nAnswer: -3*(h + 1)*(h + 26906908)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + m**3 - 4*m + 16*m**2 + 1 - 16*m**2. Let u be ((-1)\/2)\/((-4)\/24). What is j(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 7*i + 24. Let x(f) = -f**2 + 4*f + 12. Let z(u) = 3*p(u) - 7*x(u). Let a be z(9). Calculate the greatest common factor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 4528, -0.1 in descending order.\nAnswer: 4528, -0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -51. Calculate the greatest common divisor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13364 is divided by 4448.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3380 - 1437 = -67*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 3*s**2 - 14*s - 45. What is the tens digit of k(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -34. What is g in g + j*g**2 - g - 13*g**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 2, j: 9, f: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/(y\/(y**(-5)*y)*y)*y**2*y**7 assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*b - 15 = 0, 0 = -h - 4*h - 3*b + 24. Solve 0*j - 3*j - 9 = h*z, -5*j + 5*z = -35 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**3 - 4*m**2 - 8*m + 10. Let r be y(10). Let v(i) = -r*i - 13147*i - 3070*i + 4 + 79*i. Let n be v(3). Round n to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = 2*j + h, 335 = -4*j - 3*h - 292. Let s be -4*(j\/(-60) - 2) + 3. Factor -s*b**2 + 0 + 8\/5*b + 4\/5*b**4 - 8\/5*b**3.\nAnswer: 4*b*(b - 2)*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {p: 7, q: 10, l: 1, u: 2}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4, -252, -0.457, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 5*z - 74. Let p be t(-14). Let n be (1\/(-3) + -1)*(-117)\/p. Solve -5 = n*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:00 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u + 14. Suppose -5*m = d - 27 + 3, d + 3*m = 16. Does 14 divide x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 3*v + 42. Let h be p(-8). Solve 26*u = 27*u - h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1616 = l, -3*l - 9*n = -14*n - 4845. What are the prime factors of l?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5189, 20556, 46085, 81758, 127557, 183464, 249461, 325530?\n\"Answer: -3*i**3 + 5099*i**2 + 91*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*h**3 + 104 - 104 + 429*h**3 - 215*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0100909 rounded to 5 dps?\nAnswer: -0.01009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -81634?\nAnswer: 16979872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181613.\nAnswer: 193, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*z - 2 = -12, 2*w - 2*z = 2. Is w equal to 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + 6*a**2 - 7968 - 12*a + 7967 - 4*a**4 in the form p*a + s*a**3 + y + v*a**2 + o*a**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = 550. Calculate the common denominator of 63\/(-42) - (-92)\/(-6) and -4*(k\/16)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Let q = -0.06 - 0.24. Which is the nearest to 0? (a) q (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33414 - 6*c - 33412 - 8*c.\nAnswer: -14*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24321 - -10?\nAnswer: 24331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 8) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*b + 49 = 0, -4*d + 4*b + 1564 = 7*d + 1739 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 1 - 16*u + 9*u - 6*u**2 + 10*u to z*u**2 + p*u + a and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*s**3 - 1486*s**2 - 1178*s + 1050999 wrt s.\nAnswer: 18*s**2 - 2972*s - 1178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by -6.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -3*v - 33, 3*b = v + 39. Calculate the remainder when 44 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158 and 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -2 (c) 2 (d) 0 (e) -1086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23529, 9 in decreasing order.\nAnswer: 9, 3, -23529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 554346*z - 14414348.\nAnswer: 2*(z - 277199)*(z + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.4, 5, -0.03, -0.06, 0.4, -0.112?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -23, -68, -129, -200, -275, -348, -413?\n\"Answer: i**3 - 17*i**2 + 21*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 0*r + 27 = 0. Let s be 7 + -1 - (r + 7). What is the units digit of (-14 + 24)*17\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let d = 9 - 5. Let n = 131\/3 + -44. What is the closest to n in d, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/11, -250\/11, -1\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = -93 - 79. What is the nearest to -0.2 in -3, -1, x, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/303461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5 - -2) + (-3)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {s: 3, h: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from qowyqqqs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176518 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = -k - 4*x, 4*k - 1241 - 1771 = 2*x. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:19 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**4 + 20*l**2 - 61. Let n(r) = -5*r**4 - 20*r**2 + 60. Let t(h) = 5*n(h) + 6*s(h). Differentiate t(c) wrt c.\nAnswer: -4*c**3 + 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -3\/4 (c) -367\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))**25\/(((m**(2\/7)\/m)\/m*m*m)\/m*m*(m**(-1\/3)*m)\/m) assuming m is positive.\nAnswer: m**(-524\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -63, -88, -109, -126?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 19 + 13. Suppose -v = 5*o - 15, 2*o + a - 10 = 3*v. Solve -o = m + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v - p + 8, -5*v = -5*p + 5. Solve 4 - 22 = -v*z - 5*k, k = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r. Suppose 0 = -50*l - 0*l + 300. Solve r = 2*s - l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (-30)\/12. Let i be (-4 - b*2) + -4. Let y(k) = -3*k**3 - 7*k**2 + 6*k - 7. Let g(h) = -h**3 - 2*h**2 + 2*h - 2. Determine i*y(x) + 7*g(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:04 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**2 - 2*o - 1\/4*o**4 + 2\/3*o**3 - 2. Let w be (0 + 3)\/(12\/8). Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -870230 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/420 + r**4\/168 - r**3\/21 - 149*r**2. Factor o(f).\nAnswer: (f - 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 1.677. What is t rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*u - 202*u + 8640 = 0. Is u >= 360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1249, -6135, -14277, -25675, -40329?\n\"Answer: -1628*y**2 - 2*y + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let g be (-2)\/2 + 3\/3. Suppose 2*q + 0 = j - 4, q + 1 = g. Let l(v) = 5*v**j - 4*v**2 + 2*v**2 - 4*v**2. Calculate l(s(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1466015*c + 3761133?\nAnswer: 1466015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11832.9 + 11833. Let g be (8\/5)\/(24\/60). Which is the fourth biggest value? (a) -2 (b) n (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(12)\/sqrt(2)) + sqrt(208) + sqrt(208)*4.\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-12)\/(1\/8*(-152)\/7866)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 522 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**12)\/(a*a**(-3)))**(-5\/2)\/(((a**0*a)\/a)**(4\/9)*(a**(-2))**(2\/21)) assuming a is positive.\nAnswer: a**(-1567\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 433*o - 53. Suppose -143 = 2*i - 147. What are the prime factors of d(i)?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((507\/(-91))\/(-13))\/(12\/20)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001010000001111 - 111101?\nAnswer: -101011001010001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuwiewz. Give prob of picking 1 u and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 13*m = -4*m + 512 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 796121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 6*r - 1. What is s(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 8. Let z = 8 + y. Which is the biggest value? (a) z (b) -2\/21 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038 rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130880*j**2 + 64350*j**2 + 64196*j**2.\nAnswer: -2334*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42381306 to the power of 1\/2, to the nearest integer?\nAnswer: 6510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/20 - 7*u**4\/12 + 7*u**3\/6 + 2*u**2 + 6*u. Let r be z(-8). Solve -3*b + r = -0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6460296 to the power of 1\/2, to the nearest integer?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g)**(-34)\/(g*g*g**(1\/4)\/g*g*g**(3\/4)\/g))**(-3\/7) assuming g is positive.\nAnswer: g**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (27 - 14) - -55.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -19. Suppose 5*b = -5*h, g*h + 10 = -2*h. Suppose b*v - 87 = -0*x + 3*x, 3*v = 3*x + 135. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 0*w + 2394. Is 34 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35163 + -34692. Does v = 457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -618 * 310\nAnswer: -191580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 0 - (-4 + 20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.13 + 6.13. Which is the nearest to 2? (a) 2\/21 (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = 15. Let a be (-2 - p) + 1792 + 3. Suppose 3*h - a = -h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 4\/3, 2\/11, 0.1, 2\/5, -55 in descending order.\nAnswer: 4\/3, 2\/5, 2\/11, 0.1, 0.06, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/3)*p)**48 assuming p is positive.\nAnswer: p**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -114695 < -688165\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Let t = 10 + 5. Let k(v) = 15*v - 3*v**2 - t*v. What is x(k(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 6, w: 5, c: 3}. What is prob of picking 1 h and 1 v?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 102\/68*(2 - 168\/81)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179a (base 16) to base 2.\nAnswer: -1011110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*n + 15*n - 59 + 32*n + 10*n + 59 + n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4220*s**2*u**2*w - 295*s**2*w**2 + 7*s*u**2 + 4*s + w**2 - 1014*w wrt s?\nAnswer: 8440*u**2*w - 590*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*2)\/(sqrt(11) + 1*sqrt(11)*-1 + sqrt(11)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 - 5*l + 10*l**2 - 10 - 4*l**2 + 2*l**2. Let f be i(7). Solve 3*n = -f*v + 2*v - 25, 10 = -2*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279658.\nAnswer: 2, 67, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 5b5b1?\nAnswer: 5b5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l + 0*l)*(-5 + 3 + 5)*(3*l + 1 - 1 + l + 5*l - 4*l + (6 - 2 - 2)*(-l + 3*l - 4*l) + 2*l + l + 0*l).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmttmtmttttttt. What is prob of picking 3 m?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 121302231 (base 4) to base 8\nAnswer: 316255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-114)\/3325)\/((-3)\/(-15)))\/(8\/14).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -348 + 419. Let m = i + -71.0000528. Round m to 6 decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12145 + 35502. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 9\/1490, -3, -0.1, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 43*c + 20321. Calculate j(-123).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -381 and 32205563.\nAnswer: 32205182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12892151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-275)\/8)\/(6\/(-48)). Solve 0 = -c + u - 281 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -369\/5 (c) -5 (d) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -65*i**4\/12 + 40*i**3\/3 - 48*i + 1. Find the second derivative of s(j) wrt j.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/12 and 41\/234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 6. Let u be j(-5). Let d(t) = 7*t - 9. Let s(r) = -6*r + 8. Let i(l) = 5*d(l) + 6*s(l). Let c be i(2). Is u at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380705000 rounded to the nearest 1000000?\nAnswer: 1381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7620089?\nAnswer: 487, 15647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -4 - 1449\/18*-16. Suppose -b + 1286 = -10*g + 13*g, g + l = b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 less than -37557?\nAnswer: -37556.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(3\/10)*i**(2\/11) assuming i is positive.\nAnswer: i**(97\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, r: 2, o: 1, h: 3, c: 1, n: 3}. What is prob of sequence nc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 50684036*r - 321108938156162 = 0. Calculate r.\nAnswer: 12671009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 342 divided by 1\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/258368306 and 52\/861.\nAnswer: 775104918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 64*w - 6 - 2 as a + x*w and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:21 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/144 - 518\/(-112). Let h be 1\/2*2*3. Suppose 2*l - 43 = 3*d, 4*l + h*d - 66 = 5*d. Solve -13*j - m = -l*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**7\/280 + r**6\/120 + r**5\/20 + r**3 - 16. Let o(x) be the third derivative of a(x). Solve o(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/9))\/x**(-6))\/(x\/((x*(x**(-2\/3)\/x*x*x)\/x)\/x)*x\/x**(-2\/3)*x) assuming x is positive.\nAnswer: x**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0 - 80\/11*i - 326\/11*i**2 + 8\/11*i**4 - 2*i**3 = 0.\nAnswer: -5, -1\/4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 714089762 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109569 is divided by 116?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*i + 60. Suppose -3 = 4*q - i. Suppose -3*v = 0, -4*b = q*v - v - 16. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:13 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 - 6*k + 166 - k + 5*k + 8*k.\nAnswer: 6*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001034 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -31 (c) -1 (d) 0.8 (e) 10 (f) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 132 = -c. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -40*v - 276. Determine u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.03, 5, -2, -0.4, 510, 186?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 4*m - m + 5*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 2 (c) 50.6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(2057).\nAnswer: -3 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/100233 and 127\/222.\nAnswer: 200466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3433, 6857, 10281, 13705, 17129, 20553?\n\"Answer: 3424*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxh when three letters picked without replacement from {x: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -249, -562, -885, -1224, -1585, -1974, -2397, -2860?\n\"Answer: -z**3 + z**2 - 309*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/30)\/((-2)\/10). Let w be 480\/50 + t\/(-5). Let f = -6 + w. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1289419.5 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*(-21)\/(-27))\/(5\/(-3)))\/(641\/641)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 13*f**2 - 12*f + 7. Calculate the remainder when l(12) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1573 and 62871237.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufef when four letters picked without replacement from ngfuzeguuzzgfuf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23306165 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 59 = 4*g - 14*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 b when four letters picked without replacement from {v: 2, j: 5, b: 3, l: 7}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 344*g - 4036. Give y(12).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1726940877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1085108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120813 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3923*u**5 + 17*u**4 - 12*u**3 - 4677*u**2 - 1931*u?\nAnswer: -235380*u**2 + 408*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 3, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:25 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-672320)\/528)\/(-191)*(0 - 6\/4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 925 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 446.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5383, -10544, -15699, -20848, -25991?\nAnswer: -31128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 - -306. What is the first derivative of x*l**3 - 82*l**3 - 4*l**3 - 280 + 89*l**3 + 135*l**3 wrt l?\nAnswer: 522*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 78 = 18. Suppose -3*m - t = k, 5*k + 66 = -m + 4*m. Let n be (-20)\/3*k - 4. What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 3*o**2 - o. Let n be a(-3). Suppose 3*l = 6*l - n. Let m(s) = -s - 3 + 1 + 2*s + l. Let k(q) = 2*q**3 - 2*q + 2. Give -k(r) - 2*m(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*c)*(35 + 11 - 5 + (-4 + 5 - 3)*(0 + 2 + 0) - 1 - 1 + 4 - 2 + 1 + 3)*(40 + 62 - 37) in the form k*c + s and give k.\nAnswer: -5330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - 2*s)*(-3 - 2 + 3 + 1 - 2 + 2 + (-5 + 4 + 2)*(1 + 0 - 3))*(14 - 4 + 2).\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 23 - 17 = 0. Suppose -2*u + 38 = 3*y + 2*y, 4*y = f. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311 > -2486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002000102 + 11?\nAnswer: 11002000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*y + 0*y**3 + 3*y**3 - 424*y.\nAnswer: 3*y**3 - 189*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144012 and 8151.\nAnswer: 35570964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52386*u + 2839 - 2839 - 54866*u.\nAnswer: -2480*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 11*p**2 - 11*p - 3. Let k be a(-10). Let b be (-3)\/(-2) + k\/(-14). What are the prime factors of b + (-177)\/(-4) + (-6)\/(-8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 6 + 6. Let j(t) = -5*t**2 - 3*t - 3. Let v(s) = 4*s**2 + 4*s + 4. Let k be 14\/2 - (-4 - -7). Let b(o) = k*j(o) + 3*v(o). Give b(g(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 - -139 - (-22 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 486153211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottooddtott. What is prob of sequence doo?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**4\/8 + 3*d**3 + 6*d**2. Let u be x(7). Let n = -0.6 + 2.6. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873b (base 13) in base 6?\nAnswer: 1343311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389.9 + -390.2. Which is the nearest to -0.03? (a) -0.4 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.52 + -0.38. Let s = c + 4.1. Let g be (-5 - 0)\/((-4)\/(-2)). What is the closest to 0.1 in s, -5, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9199.96 to the nearest ten.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyby when four letters picked without replacement from bbybbbybbyb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 9. Let t be n(-12). Find the second derivative of -112*m**3 + 13*m**t - 19*m**3 - 115 + 110*m + 117 wrt m.\nAnswer: -708*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (700\/(-40))\/((-1)\/4). Suppose 6*c - y = 3*c + 4*w, -2*w - 8 = 0. Solve 2*s - 9 = -u, 5*u - 2*u = 3*s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44883 is divided by 44832?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 13) to base 10.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3. Let u be 44\/(-20) + (3 - p). Let l = -0.2 + 0.3. Which is the smallest value? (a) l (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-25) - 196\/(-10). Suppose -b = -t + 14. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2 - (0 - 3))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426 (base 11) to base 2.\nAnswer: -1000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12894.528 times -2?\nAnswer: 25789.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684 divided by -63418?\nAnswer: -2342\/31709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -4*k**3\/3 - 4*k**2 + 12*k + 10. Determine f so that x(f) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nno. What is prob of picking 1 n and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4188*f*i**6 - f - 77*i**2 + 6*i wrt i.\nAnswer: 502560*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 8, v: 4}. What is prob of picking 1 n and 1 h?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/20 greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4706695 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2005229, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*g - 775 = 73*g - 2423 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -20*v**5 - 136*v**4 + 424*v**3\/5 + 1712*v**2\/5 - 372*v + 504\/5 = 0.\nAnswer: -7, -2, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*k - 18*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1760*d**3 + 3 + 1761*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -5, 4, -29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*d = -3, 0*g = 3*g - d + 9. Put 0, 4, 2, g in descending order.\nAnswer: 4, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -4*y. Let c be (-8)\/(-2) + (-2)\/1. Suppose 0 = c*z + 3*z - y*h - 5, 0 = 4*z + 3*h - 11. Solve 3*g - 4*g = z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -0*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-242050)\/20 - -1 - (-9)\/(-2). Is -12107 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/(20\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 533490 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*c - 4 = 9*o, o = 2*c + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 13*t = 42. What is the highest common divisor of t and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 22 = -2*m, -5*m - 2*i + 35 = 3*i. Let d be (m\/(-5))\/(45\/140) - -2. Let u be (-2)\/(-1)*1\/(-3). Sort d, -1, u in ascending order.\nAnswer: -1, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -1, -5, 2 in increasing order.\nAnswer: -165, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/(x\/x**(-3\/2))*(x\/(x**(2\/19)*x*x)*x)\/(x**2*x) assuming x is positive.\nAnswer: x**(-327\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67694558481333 and 0.1.\nAnswer: 67694558481333.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*(((n*n*n\/n**(-1))\/n)\/n)\/n*n)))\/n*n)**8\/((n**(1\/4)\/n)\/n)**18 assuming n is positive.\nAnswer: n**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(396))*-4 + -2*(sqrt(396) + 2) + sqrt(396) + 1*(6*(sqrt(396) + (sqrt(396)*1 - sqrt(396))) + sqrt(396))**2*-6.\nAnswer: -116444 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13784\/9 (b) -1\/6 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.74 + -23.76. Round a to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = -45. Solve -3 = -l, -l + f = 5*d - 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202106.5 times -177?\nAnswer: -35772850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 + -0.01. Let j = 0.65 + s. What is j rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*l - 1228 - 404 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/11, 8, 110, 2.7, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b - 1. Let x(n) = -n + 1. Let y be (-2)\/(-3)*3\/(-2). Let m(i) = y*w(i) - x(i). Let f(u) = 2*u - 41 + 41. Determine f(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjjjssjsbssb. What is prob of sequence bbbs?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.93 times 136\nAnswer: 262.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 3. Let p be (-1 + 2)*(1 - 1). Is z(p) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - 3*q)*(2*q**2 - 3*q**2 - 4*q**2) + (q**2 - 2*q**3 - q**2)*(-4 - 3 + 3).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.98074ug in grams?\nAnswer: 0.00006598074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 16*s**4\/3 - 9*s - 4. Let p(q) = 7*q. Calculate x(p(w)).\nAnswer: 3136*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, -387, -1872, -4761, -9522, -16623?\nAnswer: -26532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-6)\/9. Suppose o = 10*c - 5*c - 285. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 26948.331345 and -232.\nAnswer: 26716.331345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 9*j - 4 = -6*j, 5*w + 3*j = 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 divided by 5?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 - 8*b**4 - 16*b**3 + 32*b**2.\nAnswer: 4*b**2*(b - 2)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:20 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 = -13*u + 966. What are the prime factors of u?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 8. Calculate the smallest common multiple of i and (-2)\/((0\/(-2) + 1)\/(-5)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -963.2.\nAnswer: -385.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.052838 litres?\nAnswer: 52.838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1594080 and 14596?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 182*l**2 + 0 + 4*l + 180*l**2 in the form o*l + t + s*l**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021388093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 and -1\/42783.\nAnswer: 85566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g + 41*g - 88 + 86)*(-1 + 4 - 2).\nAnswer: 26*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -4*p - 32. Suppose g + 13 = -i, g - 2*i = -3 - p. Which is smaller: g or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 3:03 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(228) + sqrt(228) - sqrt(228))*5*-1)\/(4*((sqrt(108)*2)\/sqrt(9) - (sqrt(588) + -1*sqrt(588)))))**2.\nAnswer: 4275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4 = 3*n - 1, -2*n - 4*d - 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqaqqaqaqqaa. Give prob of sequence qa.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -516535, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a9 (base 13) to base 11.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - m - 7*q + 11 = 0, -84*m - 51 = -93*m + 3*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-540)\/(-162))\/((-2)\/3). Let k(h) = -19*h**3 - 5*h**2. Let m(l) = -10*l**3 - 3*l**2. What is z*m(w) + 3*k(w)?\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 24 + u**3 + 7*u**3 - 31. Let v = 44 + -50. Let w(p) = -7*p**3 + 6. Give v*f(h) - 7*w(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjv when three letters picked without replacement from {j: 7, z: 2, o: 5, h: 3, v: 1, w: 2}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -280?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/9 and 57\/245.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -98c71 (base 15) to base 10\nAnswer: -485431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-100)\/(-12) + (-4)\/(-6). Let i be 86\/(-10) - (-2)\/(-5). Let j = o - i. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 618 + -619. Sort d, 3, 1, 0.19 in descending order.\nAnswer: 3, 1, 0.19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 - 12*x + 8. Let k be r(4). Is 10 a factor of 1572\/k - 1\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1592.139669 to the nearest ten.\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Let w = -1.3 - -0.3. Which is the nearest to w? (a) 1 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.71 - -1.710167. What is r rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2131.5 + 193.1. Round m to the nearest ten.\nAnswer: -1940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001220102 - -1?\nAnswer: 1001220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (4 - 3) + 0. Let c = y - -5. Let d = -664 + 679. Calculate the remainder when d is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:19 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 2.02. Let d = -0.81498 - -0.31498. Which is the nearest to 0.1? (a) d (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/4 + 13*a. Let i be -1 - (-4)\/(4\/3). Let d(u) = -2*u**i + 5 - 5. What is d(l(m))?\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2567 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 1918047, -5.\nAnswer: -5, 6\/11, 1918047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*l - 167, -f - 7*l + 5*l + 23 = 0. Let u(a) = -7*a**2 - f - a**3 + 18 + 7*a - a. What is the lowest common multiple of u(-8) and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12610.\nAnswer: 2, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14 - 127*v - 2 + 224*v - 109*v. Let r be 5\/(1 - (0 + 2)). Let c be l(r). What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-156)\/(-16) + (-1)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2 - 1 + 2 + 5*p**2 - 1. Let g(k) = 5*k**2 - 3. Let d(w) = -3*a(w) + 4*g(w). What is the derivative of d(x) wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7615544.\nAnswer: 2, 951943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 93\/268, 0.5 in descending order.\nAnswer: 0.5, 93\/268, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 19*p + 36*p - 17*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-1)\/6). Suppose b - i*b = -10. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/118657 and 111\/3850?\nAnswer: 5932850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 469\/91 + (-48)\/(-26). Suppose p*v + 45 = -95. Calculate the remainder when 1*(439\/7 + (-20)\/v) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 16) to base 7.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4 + 4 + (3*p + 2*p - 6*p)*(-1 + 3 - 3))*(-3*p - p + 5*p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 + 324*l**3 + 6 - 7.\nAnswer: 287*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263815 and 26695?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpxxxxxxxxp. What is prob of sequence pxx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -10103663.\nAnswer: 2020732.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 453 - -1143514?\nAnswer: 1144167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 440314.\nAnswer: -35225.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2234882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 2\/7 (c) 4\/7 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 111 - 21 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 7. Suppose 5*s - t = -3. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403447 is divided by 2967?\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 3*sqrt(1088) + -5*(sqrt(1088)*3 + sqrt(1088))**2).\nAnswer: -144*sqrt(17) + 522252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 5*h**4 + h**4)*(0 - h + 1 - 7*h).\nAnswer: -16*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130827177 a multiple of 1873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -43938060?\nAnswer: -43938059.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*s - 1257*s = 629*s - 76108 + 5972 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -138425691?\nAnswer: 138425687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210222 + 12?\nAnswer: 2211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 + 8*p**2 - 2*p - 2. Calculate n(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(-3) assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1549, 2955, 4387, 5845?\nAnswer: 7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.49 (b) 4 (c) 13 (d) -1\/3 (e) 0.375 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k\/k**(-1)))\/(k**(-1)*k**(-2)*k)*k\/(k*k*k**(2\/15))*k*k\/k**3*k\/(k**(-1\/3)*k)*k*k**1*k assuming k is positive.\nAnswer: k**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/10267 - 20077\/4692019. What is the fourth biggest value in 5, -0.4, n, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = f + 10 - 0, 3*f + 3*h + 30 = 0. Find the common denominator of (-2 + 5)\/((-16)\/18) and f\/45 - 1430\/(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = 11. What are the prime factors of (2 + 46)\/(v\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 bigger than 208.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.562 * 0.01.\nAnswer: 0.02562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.125 + 0.125. Let n = p + 16.9923. Round n to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 591084 (base 14) to base 5\nAnswer: 1234201344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usussussusuuuuuuuuu. What is prob of picking 2 u?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -113)\/(-2)*-1. Let z be (752\/12)\/(6\/9). Let w = z - v. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 4264*j**2 - 501*j - 2532. Find the first derivative of w(y) wrt y.\nAnswer: 8528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - -12. Calculate the remainder when j is divided by (-184)\/(-13) + (-8)\/52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 2*n - 3*n. Let p = n - 23. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2616*i + 583 + 2683*i - 583 + 1988*i.\nAnswer: 7287*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2214770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -48863985.61 to the nearest ten thousand.\nAnswer: -48860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:15 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 10*a + 80. Let m be (a\/(-6))\/5 + (-1491)\/(-9). Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203322333 + 1020?\nAnswer: 203330013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 14*p**2 + 12*p + 16. Suppose -20*h + 24*h - 585 = -41*h. What is a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -142?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951721070.\nAnswer: 2, 3, 5, 13, 79, 63347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 + 98033.01977191.\nAnswer: 98036.81977191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3991998 divided by -3991998?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*h**5 - 1\/7*h + 0*h**2 + 0*h**4 + 2\/7*h**3 + 0.\nAnswer: -h*(h - 1)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, n: 13}. What is prob of picking 2 n?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.171135.\nAnswer: 0.513405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**2 + 83*d - 21. Let p be z(9). Let o = 600\/7 - 86. Which is the nearest to 0.1? (a) -0.2 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 6*d - 8. Let c be b(8). Suppose 0 = -2*f - 2*f - 3*t + 2, -f - 5*t - c = 0. Let j(r) = -2 + 5*r - f + 0*r - 6*r. Give j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*g = -g + 19, -4*g + 16 = 0. Suppose -3*u + 27 - n = 0. Calculate the smallest common multiple of u and (-85)\/(-15) - 2\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625 + 322 + 2*w + 52 + 29.\nAnswer: 2*w + 1028","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -372 + 22. Is 34 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 - -143.5. Which is the closest to 0? (a) 14\/9 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*r - 223 + 223)*(2 + 2*r - 2)*(0 - 1 + 3)*(3 - 4 - 1) in the form c + t*r + j*r**2 and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**5*z*z*z)**50*z*z**(-11)*z**(-4) assuming z is positive.\nAnswer: z**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/120 + r**5\/6 + r**4\/12 + 7*r**3\/3 - 4*r**2 - 10. What is w(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9773700 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93*35*58\/4495?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 3*s + 78. Suppose 3*d - z = -0*d + s, 2*d + 4*z = -10. What is the second derivative of -3*l + 4*l - 4*l - 17*l**3 + 2*l**d wrt l?\nAnswer: -90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*r**2 - 65*i*r - 17*i - 2*r**2 + 48121*r - 361738 wrt r?\nAnswer: 2*i*r - 65*i - 4*r + 48121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261590.62 + 3046.\nAnswer: -258544.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (20 - (21 - 11))) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -104, -157, -232, -335, -472, -649, -872?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -0.1 (c) -0.4 (d) -5 (e) 498009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + 5*(3 + sqrt(468)) - (-1*sqrt(637)*-2 - (-4 + sqrt(637)*-2))))**2.\nAnswer: 36*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20129*r + 321941. Give g(16).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 6*z**2 + 11*z - 1. Suppose -2*v + v = 7. Let b be m(v). Is b bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 6. Let s(a) = -1. Let v(t) = -6*s(t) - w(t). Let o(m) = -3*m. Calculate o(v(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 231 = -5*i - 117, q + 69 = -i. Let b = i - -127. Suppose -3*o + 202 = b. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1479)\/340)\/(-29))\/(4\/(-96)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979698323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 633 = -38*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(208).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2\/13*y**5 + 96\/13*y + 6\/13*y**4 - 42\/13*y**3 + 72\/13 - 22\/13*y**2 = 0.\nAnswer: -6, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 + 3 + 1 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 71*v = -4108. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9415*d**3 - 1499*d**2 wrt d.\nAnswer: 56490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from {y: 5, x: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*o + 715, -2*q - q - o = -443. What is the remainder when q is divided by 144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-6)*u))**(2\/11)*(u\/(u\/u**(-2\/5)))\/u**(-2\/27) assuming u is positive.\nAnswer: u**(1406\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1050 - -1111. Calculate the remainder when 116 is divided by n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 343485782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 8*a**5 + 3*a**5 + 5*a**2 wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000077176 to six dps.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4 + 4)*(-9*p**2 + 28*p**2 - 5*p**2).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-9 - (11 + -5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 - 217. Let r = 34 + -24. What is the lowest common multiple of r and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7428675 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150.36424 seconds in days?\nAnswer: 0.024888475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30256574?\nAnswer: 2, 15128287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 106. Let g be ((-18)\/81)\/(h\/(-18)). Solve g*o - 12 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 91084?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90168773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -25, -45?\n\"Answer: -20*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**5\/24 - 23*t**4\/24 + 5*t**3\/3 - 12. Let g(m) be the third derivative of v(m). What is the units digit of g(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-6)\/(-48)*4). Let t = -1 - 2. What is the third smallest value in t, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 0. Let q(h) = -17*h**2 + 3*h - 1. Let x be q(l). Let w = 1017\/7 + x. Which is the second smallest value? (a) w (b) 3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 143414?\nAnswer: 143422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -513\/2 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31928 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**2 - 3*q - 3. Suppose -12 + 18 = -3*w. Calculate j(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -639 + 1949. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 5. Let q be l(-4). Let p = 12 - q. Let x = -337 - -10111\/30. Which is bigger: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 7) to base 8\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/55 - 1976\/385. Let o = v + -2\/5. Suppose 1180 = 9*x + 1225. Is o less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)*u*(u*u**6*u)\/u)**(-12)\/((u**1)**(-2\/29))**(1\/2) assuming u is positive.\nAnswer: u**(1393\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2387 or 2440?\nAnswer: 2440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411661322*z**6 + 47882731*z**2.\nAnswer: -49399358640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from qbqbbbbb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 875*z. Let h(i) = -2*i**2 - 885*i. Calculate -6*h(o) + 5*v(o).\nAnswer: 2*o**2 + 935*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 36*b**4 + 1 + 20*b**4 + 22*b**4 + 3*b**3 + 2*b to r*b**2 + l*b**4 + y + t*b + q*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2708)\/(-10))\/(96\/30). Let b = g - 86. Let a = 96\/11 - 1633\/264. Find the common denominator of b and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/13390 + -9587219\/93730. Let i = z - -102. Which is the nearest to 2\/3? (a) 4 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -24*s - 16. Let p(h) = 12*h + 7. Calculate -7*p(z) - 3*y(z).\nAnswer: -12*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*l**3\/3 - 2536*l**2\/3 + 5111*l\/3 - 854.\nAnswer: -(l - 1)**2*(13*l + 2562)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 18*x**3 + 4*x**3 + x + 2*x**3.\nAnswer: 34*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 + 6*h**2 + 3. Let x(j) = 6*j**3 - 7*j**2 - 2. Let t = -16 + 13. Let s(u) = t*x(u) - 2*v(u). What is the third derivative of s(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:15 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/4 - 4021*a**2\/2 - 320039*a\/4 + 164041\/2 = 0. Calculate a.\nAnswer: -8002, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8\/3, -11\/20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -1764926434.257.\nAnswer: -1764926435.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 7*z + 2*z - 24, 21 = -5*c - 4*z. Let q(y) = -4*y**3 - y**2. Let v be q(c). Factor -1\/2*h + 0 + 0*h**2 + 1\/2*h**v.\nAnswer: h*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4834, -4674, -4514, -4354, -4194?\n\"Answer: 160*b - 4994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8395 and 6497.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -32*g**6\/15 + 13*g**5\/5 + 19*g**4\/3 - 26*g**3\/3 - 6*g**2 - 1263*g. Find c such that u(c) = 0.\nAnswer: -1, -3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r**3 + 0*r - 41*r**2 + 0 - 1\/12*r**4. Let h(x) = -x**2 - 2. Calculate h(v(z)).\nAnswer: -4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(32) + -3)*-5.\nAnswer: 40 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - 54?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + -5.1. Let g = -10 - b. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10*5*1. Suppose -5*h + 3*h + g = 0. Do h and -3\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 535, 1097, 1659?\n\"Answer: 562*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 3. Suppose f + 3 = g. Calculate the greatest common factor of 70 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/20 + l**4 + 3*l**3\/2 + 4*l**2 + 24*l. Let o be c(-11). What is the highest common divisor of 270 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 2*v**2 + 2. Let q be s(-2). Suppose -n - 4 = q*b - 0*n, 0 = -5*n - 20. Is 2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (-2*sqrt(112)*1 + 5)**2 + 5.\nAnswer: -80*sqrt(7) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462546, 462540, 462520, 462480, 462414?\nAnswer: 462316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423 by 1.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 - 6433310*r + 51466800 = 0.\nAnswer: -1286670, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 2*k**3 + 3*k**3)*(k**2 + 2*k**2 - 2*k**2) + 24742*k**5 - 25290*k**5 - k**3 + 3*k**3.\nAnswer: -547*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x - x)*(x**3 + 0*x**3 + 0*x**3) + x**4 + x**4 - 27*x**4.\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**2 - 6 + 11*t - t**2 - 3 - 2. Let f be g(10). Let w(m) = 2*m**2 - 2*m - 1. Calculate the remainder when 10 is divided by w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7449.989 and 756.51.\nAnswer: 8206.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12406, -49972, -112580, -200230, -312922?\nAnswer: -450656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 13 + 1 - 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -5 in descending order.\nAnswer: 21, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.2. Let m = d + -2.99. Let t = m + 3.0000007. Round t to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Let d(w) = 132*w**2. Determine d(c(o)).\nAnswer: 528*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c**(-2\/15)*c)\/c*c))**24\/((c**(-1\/6)\/c)\/c)**(2\/49) assuming c is positive.\nAnswer: c**(-15223\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3154571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 87. Let m = 37 + t. Put 1, m, -2\/5 in decreasing order.\nAnswer: m, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-4))\/(40 - (42 - 4)).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q - 9*q**2 + 0*q**4 - 5\/3*q**3 + 0 - 3\/10*q**5. Find the first derivative of w(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - (-1 - 1). Let m = 69 + -61. Suppose -m = -s - o. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a3119 - -41?\nAnswer: -2a30a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 6. Let q be x(7). Suppose j - q = -i, -3*j + 1 = -11. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f, 5*h - 2*f = f - 36. Let s be h\/4*6\/3. Calculate the least common multiple of 7 and 4\/(-3)*s\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5405.\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96961 - 22441 = 162*x. Solve x*y + 88 = 449*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57462762 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11396280 and 4760?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 21*t**2 + 11. Let p(f) = 4*f**2 - 2. Let x(z) = -2*o(z) - 11*p(z). What is the third derivative of x(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 11*j + 17. List the prime factors of y(7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 g, and 1 z when four letters picked without replacement from ttgzgaagpaagpz.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**5 + 16*a**3 + 206*a**2 wrt a.\nAnswer: -360*a**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -203*n + 11 + 103*n + 101*n. What is k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(1\/14)\/y)*(y\/y**(-9)*y)\/y*y**(10\/7)*y*y**(-1\/10)\/y)**(-3\/29) assuming y is positive.\nAnswer: y**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/18103 and -1\/4000763?\nAnswer: 4000763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 64*p**2 - 621*p + 128. Calculate o(39).\nAnswer: -2797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2*l**2 + 2*d**2 + d*l - 2*d + 5*l**2 - 25*l - 449 wrt l?\nAnswer: -4*d**2*l + d + 10*l - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33599 divided by 1.\nAnswer: 33599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:26 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 18 = -4*l, -8*l - 2*f + 21 = -13*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.732 and 2.\nAnswer: 21.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t)**(2\/23)*(t**(-2\/65))**(-2\/63) assuming t is positive.\nAnswer: t**(-24478\/94185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-2)\/(-15))\/((-37)\/(-185))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.14 (b) 3 (c) 0.2 (d) -0.57 (e) -2\/87 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55559289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:20 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128130 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) + 50\/18. Let y be r\/4 + 5\/4. What is the third derivative of v**5 + v**2 + 6*v**y + 0*v**5 - v**2 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/167? (a) 4 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9540 by -1908.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34653 + -132342?\nAnswer: -200325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14144 or 1011?\nAnswer: 1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - v - 2 = 0, 2*v - 3 = -f + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 6*d - 40. Let u be t(-13). Let a = 287\/17 + -73\/102. Calculate the common denominator of a and u\/700 + (-628)\/(-763).\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -601 + 597. Let t = 8 + -3. Let d be (-2)\/(-2) + (-2)\/6. Which is the closest to d? (a) t (b) 3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + 12)*(2 - 118). What is the greatest common factor of 87 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6170974 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/(-35) - 40\/(-140). Let p = 17\/6 - 7\/3. Suppose 2*h - t = -2*h + 7, -3*h + 14 = t. What is the nearest to p in -1, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffrrff. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5375 * -4305.\nAnswer: 23139375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 6*y + 6*y**2 + 4*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*d + d. Let m be 2\/4 - d\/(-20). Let t be (m\/2)\/(5\/50). Solve 5*k + 40 = t*s, 4*k - 2*s = -3*s - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*o**2 - 2\/17*o**4 + 0*o - 242\/17*o**3 + 0.\nAnswer: -2*o**2*(o + 2)*(o + 119)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -45*u**2 + 3*u + 14. Let o be t(-2). Let f = o - -176. Solve f = -k + 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18135 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 85941812 divided by -27214\nAnswer: -3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/5, -5, -56, -111, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-48)\/(-20). Suppose -o*b = 10, -3*u + b + 4 = -7. Suppose -u*g + 0*g + 76 = 0. Calculate the remainder when g is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -178845, -2, 1.12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l + 22. Let a(n) = 7*n - 12. Let z(w) = -11*a(w) - 6*o(w). Let p(h) = 2*h. Give z(p(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-9))\/(1\/(-12)). Suppose 0*k + 3*m = -3*k, 5*m = -k - b. Let w be 12\/10 - 1\/k. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 81, 178, 331, 558?\n\"Answer: 3*t**3 + t**2 + 35*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k + 8305 = 1697. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -97, 5, 11.\nAnswer: -97, -2, 5, 11, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0. Let y = 0.4 - -0.6. Let o = -0.9 + y. Sort -3, o, j in decreasing order.\nAnswer: o, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idd when three letters picked without replacement from etitfedtwwtdt?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 6*j**3 + 4*j**3 + (2*j + 3*j**2 - 2*j)*(-1 - j + 1) - 7*j**3 - 6*j**3 + 4*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895 = -u - 81*j, -j = 74476*u - 74477*u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 8. Let w = p - 27. What is the units digit of (-4)\/6 - w\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u**3 + 3*u**3 + (-913*u - 2187*u - 422*u + (-4 + 1 + 5)*(4 + 2*u - 4) - 4*u + 2*u + 3*u + 4 - 4 - 2*u)*(0*u**2 - 3*u**2 + u**2).\nAnswer: 7040*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 10, j: 3, m: 2}. Give prob of picking 1 p and 2 j.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hadxhhhdx. What is prob of sequence dh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16077 - -242. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -10*a. Let k(b) = -b**2 + 5*b - 2. Let r be k(3). Let d be (r + -5)*(0 - -1). Sort 3, a, d.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 20, -8, 8.\nAnswer: -8, 8, 20, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + -5 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpp when three letters picked without replacement from pwppwpnppnpp.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 8 + 3 + 6*b. Let p(m) = -m + 1. Let r(c) = h(c) + 2*p(c). Determine r(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1359 (b) 5\/3 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-45))\/((-2)\/(-50)). Is -0.4 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 16 - 8 = 0. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*g = 306*g - 140*g + 3540 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n - 158. Let i = -5729 - -5718. What is u(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467660969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 127. Let j = -4 - -53. What is the tens digit of v(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 75873603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 294646*-0.0065\nAnswer: -1915.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*y = -31*y + 295 - 4871 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 8)\/((-3)\/2). Let n be (h*(-3)\/6)\/1. Suppose 19 = 4*p - 4*k - k, n*p + k - 38 = 0. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 15 + 148*j + 27)*(0*j**2 + j**2 - 5*j**2) to the form i*j + s*j**3 + u*j**2 + g and give s.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 2*n + 19. Let f be s(5). Let o = 2\/39 + 46\/117. Find q such that 2\/3*q**3 - 2\/9*q**f - o*q**2 + 0 + 0*q = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + 578. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34*b**3 + 47*b**2 + 15*b - 1. Let h(n) = -25*n**3 - 36*n**2 - 11*n + 1. Calculate 10*d(g) + 13*h(g).\nAnswer: 15*g**3 + 2*g**2 + 7*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521317 is divided by 196?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**4 + 8*d**3 - 3*d**2 - 8*d - 8. Let q(b) = -b**3 + b + 1. Let c = -24 + 48. Let j(h) = c*q(h) + 3*n(h). Find the third derivative of j(o) wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3937 = 18*f + 607. Is f a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 1 + 11. Suppose -2*a = f*l - 9*l + 7, -2*l + 2*a = 2. Suppose -b - l + 13 = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135\/8 in 2\/15, -0.02, -6\/7, 4\/7, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160211546 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -1 + 1\/20*n**6 - 27\/2*n**2 + 21\/40*n**5 + 13\/8*n**4 - 3\/4*n**3 + 23*n. What is t in w(t) = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 11*f + 3*f. Let x(v) = 2*v. What is a(x(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57315308*w**5 - 191099884*w**2 wrt w?\nAnswer: -3438918480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 - 12*h**2 - 12*h - 4 = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4*(4945\/(-20) - (5 - 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 14302.03?\nAnswer: 14302.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -19*v - 5. Let d be h(-8). What is the common denominator of 22\/9 and d\/(-28) - 1\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6989318970 - 0.\nAnswer: -6989318970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/11 + 27414*c\/11 - 1348088\/11 = 0?\nAnswer: -13756, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v - 9. Is 21 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88000000 to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3048?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (5 - (-179 + 79)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -5 - -1) + 1. Solve c - 10 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 1, t: 1, o: 2}. What is prob of picking 2 s and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1923 - 945.1\nAnswer: -2868.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 27*x**3 - 2*x**2 - 7*x + 1. Let j(w) = -58*w**3 + 4*w**2 + 15*w - 2. Let n(q) = -6*j(q) - 13*s(q). Give n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8876 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*b + 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by 2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 5\/(15\/(-27)). Let f be 14\/(-35) - s\/5. What is the first derivative of 1 + 0*k**2 - 3*k**f + 5*k**2 wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 9 = -3*d. Let g = d + 9. Suppose 3*r = -g*t - 26, -2*r + 31 = -5*t - r. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 2*l**2 - 6. Let y be d(-3). Suppose -s + 5*i = -28, -7 = -s - i + 9. Suppose 15 = y*v - s. What is the least common multiple of 1 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -7\/90*j**5 + 0 - 5\/18*j**4 + 0*j**2 - 51*j - 1\/3*j**3 - 1\/135*j**6. Factor l(b).\nAnswer: -2*b*(b + 1)*(b + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 724433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 1. Let o(n) = -17*n + 4. Determine o(c) - 6*v(c).\nAnswer: -11*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/39 and 59\/4186?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/5 + 42*b**4\/5 - 18*b**3\/5 - 276*b**2\/5 + 21*b\/5 + 234\/5 = 0.\nAnswer: -2, -1, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvf when three letters picked without replacement from {f: 4, v: 4, y: 12}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8759 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*y - 507*y - 38*y - 272*y + 60*y as r + h*y and give h.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3012.4 + -3013. Let p = 2 - 2.2. What is the nearest to k in p, 3, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 + 573*k + 10. Is n(-67) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*d + 856. Suppose j = f - 4*j - 113, -4*f = 4*j - d. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16674*y + 512 = 16703*y + 19 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 103840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*r = 91*r + 66. Solve 3*g = r*j - 5*j - 17, -j - 13 = 3*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3 and 137\/10284.\nAnswer: 10284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0462278 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 290*v**3 + v**2 - 2*v + 1. Let h be y(1). Suppose -u + h = u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-15))\/(4\/10). Solve 14 = -i*s + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 65 = 5*n, 225*f - 3*n + 636 = -6*n + 2*n - 499 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1739 - 2504. Let w = u - -2231. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b. Let m(n) = 16*n**2. Determine x(m(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**6*i)\/i)\/(i\/(i**(-4\/3)*i)))**(-29)*(i**6\/(i*i*(i**(1\/13)\/i)\/i*i*i))**(-12\/11) assuming i is positive.\nAnswer: i**(-72335\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1955, -1958, -1963, -1970, -1979, -1990, -2003?\n\"Answer: -f**2 - 1954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let b(t) be the third derivative of -t**6\/360 + 49*t**5\/60 - 25*t**3 - 167*t**2. Let h(g) be the first derivative of b(g). What is f(h(k))?\nAnswer: -2*k**2 + 196*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*s*z**3 - s*z**2 + 111*s*z + 202*s + 28417217*z**3 wrt s.\nAnswer: -124*z**3 - z**2 + 111*z + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -3, 0, 171 in decreasing order.\nAnswer: 171, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14418 and -29\/90.\nAnswer: 72090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.001?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4008 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47852139299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.074 - 3.074. Let g = -186 - -182.19. Let j = g + -0.19. What is the nearest to u in j, 2\/7, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*41\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 5:44 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*h + 770, -3*u + 5*h = -544 - 630. Suppose 297 = 5*v - 5*p - u, -4*v + 548 = 5*p. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2071.89305 greater than -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-2)*(-16 - (-658)\/42). What is the closest to 0.1 in y, -2\/31, -0.4, 0.4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 244 - 246 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93841 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2576 or 4511?\nAnswer: 4511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmsfssmassg. Give prob of sequence sm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 70989 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3146*f**2 + 3275*f**2 - 6464*f**2.\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {m: 2, x: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 229\/6, 0.573, -5?\nAnswer: 0.573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175641, 175407, 175015, 174465, 173757, 172891?\nAnswer: 171867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3970*q - 972*q - 1052*q - 974*q - 973*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 2*b + 0*b**2 + 7*b**2)*(-37457 + 37457 - 423*b)*(2 + 3 - 2) to the form h*b**2 + w*b + t + i*b**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27388)\/4 + -7 + 4 + -1. What is the common denominator of -59\/9 and c\/(-1071) + (-8)\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773620 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -530.341 + 530. Round d to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 - 68\/12*-147. Calculate the greatest common divisor of 2405 and m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 2. Let u = 12 + -17. Let i be j(u). Suppose 0 = -i*v + 2*v + 16. Calculate the lowest common multiple of 20 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 - h + 1. Let d be y(1). Suppose 0*c = d*c - 12. Let f = 1 - -6. Solve f = -c*r - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8300 is divided by 642?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 174 = -4*f - 175, -6 = -3*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13752*x + 398924. Give f(-29).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/4 + 9*z**2\/4 - 3*z\/2 = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 30. Let u be 11 - 189\/(10 + -3). Give s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-171)\/(-18))\/(3\/(-282)). Let g(x) = 25*x**3 + 6*x**2 + 2*x - 3. Let f be g(-4). Let n = b - f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15445\/36996 + -5\/6166. Let k(p) be the third derivative of -r*p**4 + 0 + 1\/30*p**5 + 0*p**3 + 36*p**2 + 0*p. Suppose k(a) = 0. What is a?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Let g be (z\/(-6))\/(2\/(-6)). Solve 0 = c - g + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 6295 = 2269. What is the remainder when h is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:58 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 602360, 1204705, 1807050, 2409395, 3011740?\n\"Answer: 602345*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1808 - -1810. Let o = -0.2 + 0.2. Let a = 0.7 - o. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:18 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -454069, -908069, -1362069?\n\"Answer: -454000*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.624 + -9.024. Put -2\/13, 1815, d, -1\/5 in descending order.\nAnswer: 1815, -2\/13, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4619*k - 5627*k + 44352 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**3 + 24*g**2 - 20*g - 42. Let w(d) = 2*d**3 + 5*d**2 - 4*d - 9. Let y(n) = -3*m(n) + 14*w(n). Factor y(q).\nAnswer: -2*q*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 = -7*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11\/32, 0.1, -2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*t + 10, 16 = 982*c - 984*c + 5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128953 is divided by 143?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17754 and 988714342.\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 65. Let u be -12 - (l\/16 + 4). Let i = u + 23\/2. What is the fourth biggest value in 7, -1\/2, 0, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 + 3*p**4 - 3*p**4 + (1315*p - 50*p**3 - 1315*p)*(-7*p - 3*p - 14*p) - 2*p**4 + 4*p**4 - p**4 as n*p**3 + o*p + g + m*p**2 + s*p**4 and give s.\nAnswer: 1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 183. Which is the third biggest value? (a) h (b) -17.8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 11*a - 4*a, 0 = 4*s + 2*a - 120. What is the highest common factor of s and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 8*h**2 + 7*h - 11. Let s(w) = -w**3 - 11*w**2 - 12*w + 3. What is the remainder when n(8) is divided by s(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 24 = 0, 0 = 206*l - 211*l - 5*n + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -2*a, 0 = -a + 6*a + 2*j - 15. Let z be (a - (-19)\/7) + (-62)\/(-217). Solve 3*q = -z + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - (-2862)\/315. Is f at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -3, 5, -56047?\nAnswer: -56047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:16 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 6.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s. Let q be w(3). What is the greatest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n + 4*f - 104364 = -69*n, n - 3*f - 26079 = 0. List the prime factors of n.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 25. Solve -r - 2 = -m - 4, 2*r = -5*m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 403124 + -4117?\nAnswer: 377005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 1265, 2794, 4893, 7538?\nAnswer: 10705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 162. What is the remainder when 258 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 + 47 + 14)*(-d**2 - 2*d**2 + d**2) as w + z*d + j*d**2 and give j.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 521*a**3 - 26*a - 189509?\nAnswer: 1563*a**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13824 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 201*a**2. Let o(w) = -1195*w**2. What is t(o(c))?\nAnswer: 287033025*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671149*w**2 - 206434*w**2 + 86529*w**2.\nAnswer: -791054*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/56*9520\/(-41650).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/134 and 137\/3091914.\nAnswer: 207158238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/((o\/((o**(-15\/2)\/o)\/o))\/o))\/o*o))**10\/(o**21*o*o**(-2\/37)*o*o*o) assuming o is positive.\nAnswer: o**(2592\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -46*x**2 - 47*x + 6. Let j(m) = 16*m**2 + 16*m - 3. Give 3*f(s) + 8*j(s).\nAnswer: -10*s**2 - 13*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = 3*l + 93, -4*l - 432 = -5*p. Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 4, 630\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 22, 10.\nAnswer: -17, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1959 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 39. Let u be (-28)\/(-105)*2940\/56. Calculate f(u).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -95, -372, -847, -1532, -2439, -3580, -4967?\n\"Answer: -2*s**3 - 87*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118 in 4\/11, -5, 14.9, 1?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 452586 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-5))\/((-32)\/(-28) - 1). Suppose -t*x - 135 + 3166 = 0. What are the prime factors of x?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + ((-3)\/6)\/1. Suppose y = -45*n + 48*n + 9. Which is the closest to 0.29? (a) 0.3 (b) 1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 9*y**4 - 5*y**3 + 29*y**2 + 42*y + 16.\nAnswer: -(y - 2)*(y + 1)**3*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m + 31. Let p(v) = -15*v + 19. Let f be p(-1). Suppose -4*r + 3 = -5*g, 4*g + 4*r - 10 + f = 0. Sort m, g, 3.\nAnswer: g, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 202*l**3 + 5200*l**2 - 5000*l.\nAnswer: 2*l*(l - 50)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/360*-9)\/(1\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1224838*s**5 - 1952654*s?\nAnswer: -24496760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2)\/n)\/n)**3\/(n*n\/n**(-2))**(-1\/2) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 45*s**3 - 7*s**2 + 47*s. Let a(x) = -23*x**3 + 3*x**2 - 24*x. Let u(m) = -7*a(m) - 3*q(m). Find the second derivative of u(n) wrt n.\nAnswer: 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 88*u + 135. Let f(x) = -517*x. What is f(z(o))?\nAnswer: -45496*o - 69795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 36430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 12*x**2 - 2*x. Let r be z(12). Let y be 17*((-4)\/r)\/((-1)\/(-6)). Suppose -25*s = -y*s - 224. What is the lowest common multiple of s and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444627 and 12573?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 135*k**2 - 16328*k - 861. What is d(121)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*l + l - 423, -3*k = -9. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -359 - 393. Let k = s - 90. Let f = 9 - 6. Solve -f*w = 3*b + 12, -4*b - 7 = -k*w + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, -3, -4, 0, 5, 3 in decreasing order.\nAnswer: 309, 5, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**2 + 38*d - 42*d + 3*d**2 as u*d**2 + a + x*d and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20098\/3*u**2 + 8\/3*u**3 - 3155072\/3 + 12625312\/3*u = 0. What is u?\nAnswer: 1\/4, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))\/((o*o**(-22\/7)*o*o)\/o)*o**(-47)*o*o*o*o**(-3\/11) assuming o is positive.\nAnswer: o**(-3321\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 + 867*t**2\/5 - 12441*t - 12615.\nAnswer: -3*(t - 145)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 319 (base 13) to base 11\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w - 3 + 0*w - 4*w - 3*w. Let c be g(-4). Let a be (2\/c)\/1 - -1. Solve q = -a*h, h = 4*h - 2*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = -j - 17, -21 = 3*j - 4*c. List the prime factors of 201*(j - (-40)\/12).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 2*f, -2 + 4 = -4*f - 2*o. Let z = 1 - 5. Sort 1, f, z.\nAnswer: z, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24546 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 802466059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9 - 6. Suppose -u = i*u - 1120. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 14 = x + 10*t, -3*x + 21 = t. Solve 12 = x*h + 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22078, 22085, 22092, 22099, 22106, 22113?\nAnswer: 22120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*q*r**2 + 7489*f*r**2 - 13540*f*r + f - 2*q*r**2 - 4*q + 5*r**2 wrt r?\nAnswer: 4*f*q + 14978*f - 4*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 - -2.7. Let q = 18 + -18.4. Which is the closest to l? (a) -4 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 53. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1291*d*m*w**2 + 617*d*m*w + 2*d*w**2 - 1352*w**2 + 3*w + 8 wrt m.\nAnswer: 1291*d*w**2 + 617*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12346814.5 rounded to the nearest 10000?\nAnswer: -12350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-4)*1\/2. Suppose j = -10*k + 15*k - 240. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -2\/37 (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -9162?\nAnswer: -91.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6479008.\nAnswer: 2, 23, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 9. Let c be z(6). Let n be c - 1*(2 - -9). Let b be 26\/(-3)*12\/n. Solve 4*u + 1 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007210221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/26)\/v*v\/v**(-7)*((v**(-1\/21)*v*v)\/v)\/(v*(v\/v**14)\/v) assuming v is positive.\nAnswer: v**(12007\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 886672604 divided by 2936002\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39461904.\nAnswer: 2, 3, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1175, 1014, 667, 134, -585, -1490, -2581?\nAnswer: -3858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -240 - -238. What is the closest to 1 in 3, -0.2, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 1. Let o be p(1). Solve 1 = 6*l - o*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r. Let a(y) = -y**2 - 188*y + 8649. Let u(j) = -a(j) + 2*b(j). Let u(c) = 0. Calculate c.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -94, -301, -702, -1363?\n\"Answer: -11*s**3 + 2*s**2 - 8*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1994 and 132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/48720 and -133\/598560?\nAnswer: 4189920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82552 (base 10) to base 4.\nAnswer: 110021320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135.0604 - 35.8206. Let h = -167.9 - p. Let s = h - 3. What is s rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 51103\nAnswer: 105\/51103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -8906, 4, 15, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 15*n**2 + 4*n. Let t(a) = -7281*a. Give t(o(u)).\nAnswer: -109215*u**2 - 29124*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 14*d**2 + 14*d - 4. Let g = 45 - 60. Let b be h(g). What is the greatest common divisor of b and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814807, -814806, -814805, -814804?\nAnswer: -814803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 3, p: 3, j: 1, l: 5}. Give prob of sequence am.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -419683 and -419662 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:13 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2. Let r(p) = 29*p**2 - 13*p**2 - 14*p**2. Calculate y(r(k)).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2138*j**3*p**4 + 45*j**3*p**2 - 74*j**3 - 2*j**2 + 431 wrt p.\nAnswer: -8552*j**3*p**3 + 90*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8111\/2 + -4054. What is the closest to -2\/37 in q, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*y + 1015 = -259 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a factor of 126866520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115901 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*h + 18. Let x = 15 + h. Let n be x\/68 + (-504)\/(-51). What is the greatest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -11. Calculate the remainder when 105 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17440010903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5 - 4*j**3 + 4*j**2 - 1. Suppose -40*u - 9*u - 76 = 218. Let v(k) = 4*k**3 - 3*k**2 + 5. What is u*v(o) - 5*s(o)?\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*a + 2*u - 29, 0 = -2*a + 4*u + 10. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 3. Let o be u(-2). Suppose 5 = -2*x + o. Let t(w) = 46*w**2 + w. Calculate the remainder when t(x) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16*a = -18*a + 46, -3*b + 168 = -4*a. Solve 22 = 15*o + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 17 + 36 + 4407159*x.\nAnswer: 4407159*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 + 40*x**2 + 256*x + 39. Determine n(-6).\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxxxnxxn. Give prob of sequence nnx.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 1 (c) 1\/6 (d) -3 (e) 3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -3583239?\nAnswer: 3583239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 4*z + 27. Let b(g) = 1. Let y(k) = 4*b(k) + c(k). Is y(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 3087555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -465.277 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143443040 (base 5) in base 11?\nAnswer: 4929777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1704 and 89\/82644.\nAnswer: 165288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.01 + 38. Let i = 0.41 + u. Let p = 1.96 + 0.04. Which is the smallest value? (a) i (b) p (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 41915.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3 + 6 = 4*m, 5*m - 13 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 + 1684*f - 20957. Determine v(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 1040?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 563 * 1.84.\nAnswer: 1035.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -649*s**2. Let q(x) = -92*x - 30. Calculate q(g(t)).\nAnswer: 59708*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/8 + -5)*(0 - 0). Let w(z) be the first derivative of -z**4\/4 + z**2 - 9*z + 262. What is w(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d + 2716172 - 11864 = 3*d. What is the remainder when d is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1808 = -305. Let v = -189 - w. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 3*u**5 + 0*u**5 + (u - u + 2*u)*(1 + 2*u**4 - 1).\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2911112*y**2 - 13*y + 31. Let o be (2 - (-4)\/6) + 14\/42. Let j be a(o). What is j rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 6. Let b = 0 + a. Suppose -3*i - 4*h + 849 = 0, 0 = b*i + 2*h + h - 1139. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 14*j - 30. Let w be o(-11). Suppose -w*p + 2*z = -99 - 10, -3*p + 84 = 3*z. Calculate the remainder when p is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2304 - 1876?\nAnswer: 64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -2.9. Which is the closest to 0.1? (a) -4 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47*-4*1196\/(-368) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -33, -61, -99, -147, -205, -273?\n\"Answer: -5*t**2 - 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(220)\/sqrt(5) + sqrt(22)\/sqrt(2)*3).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 200, 194?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/9))**(-6)*(g*g**(-3\/8)*g)**(24\/13) assuming g is positive.\nAnswer: g**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.394709 kilometers in nanometers?\nAnswer: 5394709000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 203*j - 20 - 3228. Let o = -34 + 73. What is the remainder when o is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -552, -1283, -2014?\n\"Answer: -731*y + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47\/5 in 0.2, -11\/17, -0.4, -1, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 7 - 59. Calculate the highest common factor of 88 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -410*i**2 - 4528*i - 172. What is t(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 1\/2*g**3 - 3\/2*g**2 + 0 + 1\/12*g**4 - g. Give r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 - 2*v**4 - 8*v**4 - v - 4*v**2)*(2 + 4 - 8)*(-3 + 1 + 0) as q*v**2 + x*v**3 + m*v**4 + g + b*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257 + -245. Suppose n*u - 14 - 106 = 0. Calculate the remainder when 448 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 222, -5\/8, -0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*r + 95 - 470 - 105 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + 6. Let t be (-4 - c)*5\/(-2). Suppose t = q + 3*n, 4*q + 0*n - n - 7 = 0. Solve -w - q*w = 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170)*-4*-5 + sqrt(170))\/(sqrt(10) + sqrt(1800)\/sqrt(5) + sqrt(10) + sqrt(10)).\nAnswer: 22*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(12*u**3 + 0*u**3 - 29*u**3 - 2*u**4).\nAnswer: 6*u**4 + 51*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 0, -3.778, 2\/7 in descending order.\nAnswer: 2\/7, 0, -3.778, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82, -821, -2832, -6751, -13214, -22857, -36316?\n\"Answer: -106*x**3 + 3*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10) + 1473\/(-112930)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 4:17 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 2)\/(-4) - -3. Suppose -w*u = 2*u - 1575. Let c be 20\/u + (-4)\/14. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6844887319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 - 10 = 0. Let t(k) = k**2 + 5. Let x be t(5). Suppose 2*d - 5*d + x = 0. What is the remainder when d is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255199 by -36457.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-60) + 1084\/10. Calculate the common denominator of 3 + 2\/((-20)\/d) and 33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 54638311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/176 and -45\/123728.\nAnswer: 123728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -9357?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0*k - 2 + 3*k - 2*k. Let n(q) = 11*q**2 - 59*q**2 + 47*q**2. Determine u(n(y)).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n + 1\/12*n**4 + 0 + 0*n**3 - 44*n**2. Let d(u) = 26*u**2. Calculate o(d(a)).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from uggbhjgvvubg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 - 639*g**2 + 657*g - 4450. Determine w(212).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10021111002100?\nAnswer: -10021111002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 5, -4 in decreasing order.\nAnswer: 5, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(8)*1) + sqrt(30) - 1*sqrt(750))\/(-4*sqrt(384)*-3).\nAnswer: -sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1339694316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -494 + 494 + 13*g**2 - g as f*g**2 + x*g + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 1, 11 in decreasing order.\nAnswer: 15, 11, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 189*o**2. Let n(m) = 2*m**2. Calculate n(k(v)).\nAnswer: 71442*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + -1. Let o be ((-1)\/(-2))\/((-2)\/x). Suppose 5*h - 49 = o*d, -3*d = -3*h + 2*d + 37. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9)**(2\/19)*((q*q\/q**37*q)\/q)\/q**(-4\/9) assuming q is positive.\nAnswer: q**(-5747\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2312937 and 72387?\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47548186.\nAnswer: 2, 7, 229, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1519 = -3399*d + 3083*d + 571 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 + a**2 + 3*a + 3. Let d be y(-2). Let h = -11 + 5. Let s be 16\/2 - 18\/h. Solve 3*p + d = 4*u + s, -2*p - 20 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -7. Sort -4\/3, o, -0.2 in increasing order.\nAnswer: o, -4\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2080*b**5 - 150694*b**4\/3 - 989612*b**3\/3 - 968354*b**2\/3 - 122668*b\/3 + 176 = 0.\nAnswer: -12, -11, -1, -2\/13, 1\/240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 12:10 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34010 (base 9) to base 12.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -600 + 1236. Calculate the greatest common factor of h and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1793 + -1758. Solve 5*s - 20 = 5*b - w, 4*b + 5*s - 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s. Let z(c) = -50204*c - 6. Determine n(z(y)).\nAnswer: -803264*y - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 857*r - 3405*r + 26 + 850*r + 849*r + 850*r. Determine p(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*q + 791*q - 149 + 144.\nAnswer: 607*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 117308*r**2 + 234610*r - 117304 = 0. What is r?\nAnswer: 1, 58652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.57? (a) -6.8 (b) -1\/6 (c) 0 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 divided by -9?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 145572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5831492 divided by 6\nAnswer: -2915746\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -802 + 3647. List the prime factors of c.\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265\/140*-1 - (-1)\/7.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(8\/336). Suppose d = n - 0*n. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041943369 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = -2*q. Let a be (-98)\/8 + q\/(-4). What are the prime factors of (a\/(-15))\/((-1)\/(-15))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/9*9\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 13*u**7\/70 + u**6\/40 + 13*u**5\/60 - 335*u**4\/8 + 514*u**2 - 2. Find the second derivative of s(z) wrt z.\nAnswer: 468*z**2 + 18*z + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 38*p**2 - 2 + 2.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 4*o**3 + 7445*o**2 + o**3 - 7445*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfgdh. What is prob of sequence gfb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.09999898 - 12.1. Round a to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*((-5*sqrt(147) + -4 + -1*sqrt(147)*2)**2 + 4).\nAnswer: -7220 - 392*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(3 + 9940\/(-1655) + 3)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2329 - 0.0189. What is h rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 310 + -78. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1886 + 1886.5. Which is the closest to -2? (a) -0.5 (b) m (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4 - 4*a**2 - 17 + 13. Let h(o) = -6*o**2. Calculate h(s(v)).\nAnswer: -96*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4 - 416*a**3\/3 + 5408*a**2 - 282. Factor d(b).\nAnswer: 4*b*(b - 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33718485, 67436970, 101155455, 134873940, 168592425, 202310910?\n\"Answer: 33718485*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -5*h**7\/7 + 4*h**3\/3 - 4. Find the third derivative of o(a) wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 186*q + 49. Determine d(37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 + -2.87. Let a be ((-4)\/32*-9)\/((-3)\/(-2)). Put -5, j, a in decreasing order.\nAnswer: a, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.8 + 8. Let a be (0 + (-2)\/(-14))*3. What is the smallest value in -2, l, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiififiiifffiii. Give prob of picking 2 i and 2 f.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/486 and 25\/9288.\nAnswer: 83592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5496413.\nAnswer: 13, 157, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92 + 49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c - 11. Which is greater: c or -12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -948440 divided by -1048?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrxrrxzmrjzxx. Give prob of sequence jrrr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - 11 - 7 + 20.\nAnswer: 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165879 and 55293.\nAnswer: 165879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32596638 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2273*z + 2273*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 31c7?\nAnswer: 31c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.017 (b) 0.03 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1990*r**2 + 373*r**2 + 881*r**2.\nAnswer: 3244*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 5, 9, 13?\n\"Answer: 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**4 + 1021*z**2 + 3498 with respect to z.\nAnswer: -4*z**3 + 2042*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*n - 443817 + 123801. List the prime factors of n.\nAnswer: 3, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -5 - 3*j + 3\/2*j**2 - 3\/2*j**4 - 1\/3*j**3. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/6 + (1 - -1). Let o be (2 - r) + 29001 + 2. Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11588\/113, -0.04, 4.\nAnswer: -0.04, 4, 11588\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340 = 14*p + 332. Let x be (-10)\/p - 255\/(-204). Let -2\/9*z**3 + 2\/3 - 14\/9*z + x*z**2 = 0. What is z?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/9 + 4*u**3\/9 - 4*u**2 + 44*u\/9 - 16\/9.\nAnswer: 4*(u - 1)**3*(u + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 19086091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2005 + -7987\/4. Calculate the common denominator of -113\/972 and a.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z + 14. Let g = -161 - -161. Calculate the remainder when 151 is divided by r(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 + 1058*l**2 - l + 1 - 3*l**3 - 1062*l**2. Determine t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 21. Let s = x - -22.95. Let m = -0.15 - s. What is the fourth smallest value in -3, m, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 2 + (-9 - (-14 - 6) - 8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*76\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = 2439 - 2223 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*h + 21, -5*l + 34*h = 37*h - 66 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 smaller than 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sevenths of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -77. Suppose -4*r = c*l - 832, -3*r - 336 = -3*l + 174. Calculate the highest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*(y*y*y**14)\/y*y**(-1)*y**(-1) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3504680.\nAnswer: 2, 5, 41, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {x: 2, l: 1, w: 2, f: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18501 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10691*h + 2918658. Calculate c(-273).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 3*c**2 + 4*c - 5. Let t be y(2). Let u be 2 - -34*1*t. Let q be (-48)\/u*(-4 + 0). Does -6 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.041024987625 and 0.0182.\nAnswer: -0.022824987625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 647.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148 + 150. Suppose -4*n - 6 = 4*l - 22, 0 = -l - f*n + 4. Solve -4*v - v - r = 2, -15 = 3*v - l*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1326 and -124?\nAnswer: -164424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 5*v**2 - 11*v - 27. Determine h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/2 - 5*w**3\/3 + 5*w**2\/2 - 10. Let c(o) = -o**3 - o**2 + o. Give -5*c(i) + y(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113463 and 637056?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from okkodkkkkiik?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2707 = -381*p + 12232 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*(3*sqrt(76) + sqrt(76)) - sqrt(76)))**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73805 is divided by 360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 8. Let g be (-1)\/(-3 + (4 - 0)). Let s be c\/(-1)*g + 62. Calculate the greatest common divisor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m = -4. Suppose -5*f + 26 + 14 = 0. Calculate the remainder when ((-1)\/m)\/(1\/(-44)) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlsppstslils. Give prob of picking 1 h, 1 p, and 1 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20177451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*x = 1234 - 269 + 763 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690\/(-87) + 14\/(-203)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-9)\/(-8))*(-1386)\/(-1848))\/(4\/51).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a. Let i = -1\/7 - 2\/35. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -135*f**3 - 4*f - 1. Let i be y(3). Let c = 598 + i. Let r = c - -1670. What is r rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/60*(-12)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9481549*t**6 + 3*t**2 + 524995*t wrt t.\nAnswer: 1137785880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 614 and 413529?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 1) + 1\/1 - -2. Is 4\/(20\/q)*58 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)*2)\/sqrt(2) + sqrt(2)*3*3)**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -14*d + 952. Suppose -2*z - t - 62 = -3*z, -4*t = 2*z - d. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 422 + -422.2. Let x = -74.928 - -75. Let s = x + 0.028. Which is the nearest to s? (a) -2\/5 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and -47\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.06*-4\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2653, 5528, 8389, 11236, 14069, 16888?\nAnswer: 19693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/95?\nAnswer: -9\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + 196 + 1*2)*1. Suppose 2*w - 26 = 34. Let r = w + n. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 34 + 58 - 4*s**2 - 7477*s**3 + 7479*s**3.\nAnswer: 2*s**3 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 477649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*k*w**2 - 2*b**3 + 20*b**2*k*w + 2*b*k*w**3 - b*w - 21*k*w**3 - w wrt w.\nAnswer: -6*b**3*k + 12*b*k*w - 126*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (840\/(-18))\/(2\/60). What is o rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*k + 24 = 0, 2*j - k - 10 = 2. Let s be (-1 + j)\/(11\/4 - 2). Suppose s*u = 16 - 4. What is the third smallest value in 0, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/5*9\/(-18))*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20303 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12503\/16 + -782. Let m be 106588\/13024 + 1\/2. Let a = -24\/407 + m. Calculate the common denominator of j and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -16.1. Let r be (-1)\/2 - 52\/(-104). Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -270, -3, 284 in descending order.\nAnswer: 284, -3, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6*z - 1. Let c(a) be the second derivative of a**3 - a**2\/2 - a. Determine c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**2 - 58*x**2 + 82*x**2 + 3930 - 3930 + 15*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 - -2.9. Which is the nearest to -2\/3? (a) -1\/4 (b) 2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 555?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 6408?\nAnswer: 17\/2136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/259 - 15287\/1554. Find the common denominator of (-688)\/36*2\/16 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3393.95 to the nearest ten.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30654 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 14. Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192899 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 - 265 = -2*f + 2*k, -2*k + 812 = 3*f. Let q = f + -68. Suppose -q - 68 = -i. What is i rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2. Let g(z) = 68*z - 1. Let s(l) be the second derivative of -l**3\/6 + 11*l - 1. Let w(a) = -g(a) + 2*s(a). Give w(k(v)).\nAnswer: -140*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 18*u - 11. What is the units digit of q(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241 + -2240 - (2 - 142)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0\/(-3) + 1))\/19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5933, -11865, -17797, -23729?\nAnswer: -29661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + u + 41, 3*g - 20 = -4*u. Suppose 3*r - 15 = 0, 0*r - 2*r + g = -t. Suppose t*f - 50 = -3*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113110122311 - -10?\nAnswer: 113110122321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-2))\/1 + -103. Let c = -15 - l. Let p = c - 84. Put p, 2, 18 in descending order.\nAnswer: 18, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1.1 (c) 5 (d) 2 (e) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {e: 1, x: 4, r: 3, v: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 331 - 331.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*m*w**3 + 313*d**2*w**3 + 60*d*m*w**3 + d*m*w + 4*d - 2 wrt d.\nAnswer: -6*m*w**3 + 626*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 15*a + 1006. Give m(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 - 90*d**2 - 2*d + 90 = 0.\nAnswer: -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 4*j - 512. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -559\/5 - -112. Let q = 0.2 - 0.2. Which is the second biggest value? (a) q (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3.4 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -138800 at least -694001\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1031272 divided by 22\nAnswer: 46876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {d: 8, n: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1028*u + 1052. Let o be (40\/(-16))\/(40\/(-224)). Let w(g) = -206*g - 210. Let p(i) = o*w(i) + 3*d(i). Differentiate p(y) wrt y.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*z + 14 - 38 = 0, -3*x = 3*z - 27. Suppose -x*m = -3 - 5. Solve -4*a + 4 = -2*n, -7*a = -m*a - n - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 4. Suppose -p*n - 4 + 32 = 0. Solve -5*x - 32 = -n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 7, j: 6}. Give prob of sequence jh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 21*p**2 - 24*p + 49. Let v be r(22). Suppose -3*x + 1016 = -5*b, -5*x - v*b + b = -1644. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3393?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1708 + 27251\/16. Let m = -44921 + 1347503\/30. Find the common denominator of p and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from tyxttyxxtxk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2843 or -3985?\nAnswer: -3985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33017 at most 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14155234 rounded to 4 decimal places?\nAnswer: 0.1416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/100 and 23\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**5\/10 + 19*i**4\/6 - 71*i**2 - 56*i. Differentiate h(m) wrt m.\nAnswer: -6*m**2 + 76*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9519740.\nAnswer: 2, 5, 401, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008154151336 to 7 decimal places.\nAnswer: 0.0081542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 0.1. Let f = 11 - 11. Which is the nearest to -0.1? (a) -5 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -1 - 3. Let q(t) be the third derivative of t**7\/630 - t**6\/720 + t**4\/12 - 2*t**2. Let f(d) be the second derivative of q(d). What is f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 27. Calculate the least common multiple of 6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {c: 4, v: 6, q: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3737000 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21704.6 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 26*c**2 + c. Let u be w(-1). Let g(i) = -7 + 33*i**2 - 35*i**2 - 4 - 21*i. Let l be g(-9). Solve -j + 5*n - 5 + u = 0, 2*j - l = 4*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 - 432. Let s = -347.9 - t. Are s and 55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1755? (a) -0.4 (b) 7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 - 7. Let x(o) = o**2 - 5*o - 9. Let j be x(7). What is the smallest common multiple of 4 and b(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - 37*x**2 - 44*x + 2. Let k be p(-11). Solve 0 = -0*l - 4*l + j + 13, 0 = -k*j - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -180350.\nAnswer: -180350, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - -2 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-106)\/(-14) + (-12)\/(-28). Let i be 40\/(-75)*(-6)\/z. Solve 0*g**4 + i*g**5 + 0 - 2\/5*g**3 + 0*g**2 + 0*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 at least 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6 - 2*u - 4 + 3*u. Let o be f(-2). Let j = o - -2. Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a + -11?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**7\/70 - 5*x**4\/12 - 20*x**2. What is the second derivative of d(h) wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*w + 5*f, -3*w + 2*w = 4*f - 19. Suppose -15 = -4*c + c, w*r - 106 = c. Let z = -27 + r. Calculate the highest common factor of z and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 21, 2 in ascending order.\nAnswer: -3, 0, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 7*d**5\/5 - 4*d**3\/3 - 6. Find the third derivative of i(m) wrt m.\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -70. What is m in 256 + 4*m**2 + 14*m + 21*m + 29*m + a*m**2 = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i. Let z(g) = g**3 + 8*g**2 - 13*g + 10. Calculate the remainder when z(-9) is divided by l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-90)\/(-210))\/(6\/(-4)) + 4\/63. What is the nearest to 0.1 in -1\/6, -4\/5, f, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**15)**(2\/31))**41 assuming u is positive.\nAnswer: u**(1230\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 1028*w.\nAnswer: -2*w*(w + 514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4604 (base 11) to base 2\nAnswer: -1011110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/14)\/n*n)\/n**(2\/13))\/(n**(-7)\/((n*(n**5*n)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(2325\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 5*h**2 - 4*h - 12. Calculate c(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/35)\/(15\/(-70)*1*-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-273))\/((-20)\/14)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -28. Let p(c) be the second derivative of -1\/25*c**5 + 1\/10*c**4 - 2*c + 1\/10*c**b + 0 - 2\/15*c**3 + 1\/150*c**6. Let p(v) = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1945322 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 31. Let z(b) be the first derivative of 1\/10*b**q + 2 + 2\/15*b**3 + 0*b**2 + 0*b. Factor z(l).\nAnswer: 2*l**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7\/51, -3\/2, -62 in ascending order.\nAnswer: -62, -3\/2, 7\/51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 212*b + 13. What is the tens digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159614.928us in days?\nAnswer: 0.000001847395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1000001111111?\nAnswer: -1000010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 2179, 3287, 4417, 5575, 6767, 7999, 9277?\nAnswer: 10607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1043310045.3\nAnswer: 1043310049.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 33 + 57 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 1\/20, 2\/5, 4\/5, 3, -34\/5 in decreasing order.\nAnswer: 3, 4\/5, 0.6, 2\/5, 1\/20, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - 2*x**2 + 3*x - 3. Let f = 1 - 7. Let k = 10 + f. Suppose 0 = k*b - 54 - 2. Let m(s) = -9*s**3 + 5*s**2 - 7*s + 7. What is b*g(i) + 6*m(i)?\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -638 - -640. Suppose 0 = -2*w - 10, -2*d - d - 4*w = 35. Suppose 5*g + 32 = -3*g. Sort d, g, t.\nAnswer: d, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/20 + 11*s**4\/12 - s**3\/6 - 2*s**2 - s. Suppose 3*g + 3*w = -42, 5*g - w = -0*g - 52. List the prime factors of b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19989 divided by -6\nAnswer: 6663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*((-9)\/3 - -2). Let w be 42\/(-15) - (-2)\/q. Put 4, w, 1 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*o + 343*o**3 - 1423*o**3 + 90*o.\nAnswer: -1080*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/12, 9.445501 in descending order.\nAnswer: 9.445501, 2, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -4*a + 5*j, -a = 3*a + 5*j - 525. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {s: 5, j: 2, h: 8, w: 2, p: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98, -112, -118, -110, -82?\n\"Answer: k**3 - 2*k**2 - 15*k - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**3 + 478*g**2 + 195*g + 92. Let a be y(96). What is the biggest value in 1\/2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = 2*r - 16*q + 14, -3*q + 36 = -3*r. Put 4, 1, r, -2 in descending order.\nAnswer: 4, 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -186 and -0.6?\nAnswer: 185.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 576.8 + -2\nAnswer: 574.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/267 and -63\/890.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 18*(-24)\/(-864). Which is the nearest to 1? (a) -0.1 (b) f (c) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -5 (c) -0.4 (d) -6 (e) -1\/21 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607335.\nAnswer: 3, 5, 19, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 64, 91, 128, 175?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/(-28))\/13*(-40)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1081 by 74.\nAnswer: -1081\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. What is the third smallest value in 3, y, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*y**3 - 41*y**3 - 32*y**3 - 40*y**3 + 3712*y**2 + 159*y**3.\nAnswer: 6*y**3 + 3712*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22760 is divided by 11380.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 + (3 - 133\/49)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -481736\nAnswer: -96347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221\/4 - -55. Let d(j) = j**2 + 5*j - 3. Let t be d(-6). Let m = -184.9 + 185. Put r, m, t in descending order.\nAnswer: t, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-8 + (5 - -14 - 17))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 2241*x + 418188. Determine m(-363).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 19. Let f be 2\/(-6) + 10\/v. Factor 2\/3*w - 2\/3*w**3 + 0*w**2 - 1\/3 + f*w**4.\nAnswer: (w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/595 + 1529\/76160. Is k <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35036501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38169996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -91*y - 58. Let k(l) = -32*l**2. Determine j(k(v)).\nAnswer: 2912*v**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1008)*-2 + (sqrt(21) + sqrt(21)*-1)\/sqrt(3) - (-3 + -6*sqrt(28)))**2.\nAnswer: -72*sqrt(7) + 1013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 8*m**2 - 373300 + 373300.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/40)\/(-2 + (-36)\/(-15)). Let v be (d - (-2 - 0)) + -3 + 2. Let m(z) = -z**2 - z + 1. Determine m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(-5)*(-268 + 193) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-9))\/(115\/(55890\/(-36))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163912 or -163911?\nAnswer: -163912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 3, o: 1, s: 2, w: 7}. Give prob of picking 1 s and 1 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1285462cm in millimeters?\nAnswer: 1.285462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 59.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 + 4 + (-26 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3\/3 + 9812*o**2\/3 + 665740*o\/3 - 1191500 = 0.\nAnswer: -2383, -75, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936*f**2 + 1942*f**2 - 5547*f**2 + 1671*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + -52. Suppose -7 - c = -11*o. Calculate the greatest common divisor of o and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*o + 72673 - 17352, -2*o - 110658 = -2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540325 divided by 21613?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*2)\/sqrt(10) - (sqrt(68)\/sqrt(4) + -3 - sqrt(17)).\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1700130 and 14734460?\nAnswer: 44203380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -130)\/14 - -28408 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 28*f + 35. Let l be t(-29). Suppose 3*n - s = -n + 70, 3*s = -l. Let i(v) = 3*v + 18. Calculate the lowest common multiple of n and i(-3).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*a = -1557, 4*y = -0*a + a + 6189. Suppose 3*k - y = -5*l, -5 = l - 2. Let u = -366 + k. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*i + 93. Let t(k) be the second derivative of -3*k**4\/4 + 3*k**3\/2 + 13*k**2\/2 - k. Let o(f) = 4*f**2 - 4*f - 6. Calculate i*t(x) - 13*o(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18970 and 21680.\nAnswer: 151760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, o: 1, b: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.492856 micrometers in centimeters?\nAnswer: 0.0000492856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/3))**50\/(p**(-10\/7)\/(((p**(4\/5)*p*p*p)\/p)\/p)))**(-1\/3) assuming p is positive.\nAnswer: p**(-7339\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let v = 85.2 + -81.19. Let z = 0.01 - v. Is o bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:01 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22705*n**4*p**2 + n**2*p**2 + 307*n*p**2 - 1968*n wrt n.\nAnswer: 272460*n**2*p**2 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k**2 + 2*k + 2. Let o(q) = -9*q**3 + 12*q**2 + 47*q + 13. Give o(j) - 7*w(j).\nAnswer: -2*j**3 - 9*j**2 + 33*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqbgbt. What is prob of picking 1 g, 2 b, and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000052875 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/985 and -37\/95?\nAnswer: 18715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-102)\/85 - -1) + (-537)\/15. Suppose -5*r + 3*k - 8*k - 440 = 0, 3*r + 272 = -5*k. Let p = t - r. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72626000 to the nearest one hundred thousand.\nAnswer: -72600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14106, 56389, 126852, 225489, 352294?\nAnswer: 507261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -94*w**2 + 94*w + 3. Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4890, 4777, 4664, 4551?\n\"Answer: -113*y + 5003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 3*w - 4*w - w + 0*w + 3*w + (-2 + 3 + 0)*(2*w + 2*w - 5*w) - 1822*w + 908*w + 11 + 901*w.\nAnswer: -19*w + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/44 + ((-651)\/84 - -8). What is the closest to 6 in 1, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 4. Let k be r(-7). Let c be -3 - k*(-9)\/(-6). Differentiate -c + m**3 - 5*m**3 + 15*m**4 + 4*m**3 with respect to m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -0.55. Let f = 0.8 - v. Which is the third smallest value? (a) -1 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8893 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -616717\/21 + 29368. What is the common denominator of 16\/981 and q?\nAnswer: 6867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2962 + -2960. Put t, -0.05, 5\/2, 0 in ascending order.\nAnswer: -0.05, 0, t, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(20\/75)*184\/10074.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3063 - 3353. Which is the second smallest value? (a) m (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 13. Suppose 14 = 4*y - 5*x - 39, 0 = -2*y - 3*x + 21. What is the highest common factor of g and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h - 38. Let u(k) = 505*k. Give r(u(z)).\nAnswer: 9595*z - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67 - -73?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, r: 3, y: 1, b: 1, w: 5}. What is prob of picking 1 b and 2 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 3*q**4\/4 + 2*q**2. Let p be (16\/8 - 1) + -2. Determine w(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71885 and 45.\nAnswer: 646965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + m + 0*m - 16 = 5 + 4, 5*z - 2*m = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3245)\/51920)\/((-2)\/192)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2. Suppose -y = -1 + 2. Let r be g(y). What is the second derivative of r*q**5 - 5*q + 4*q + 3*q wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n + 29. Let s = 518 - 512. Let k be q(s). Solve -k*c = r - 3, -9 = -r - 2*r + 3*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*v**3)*(0*v**2 - 2*v**2 + 0*v**2) + v**5 + 9*v**2 - 9*v**2 - 5*v**4 + 5*v**4 + 3*v**5 + (-v**3 + 2*v**3 - 3*v**3)*(-4*v**2 + 0*v**2 - v**2).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(8\/(-324)). Calculate the greatest common divisor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2 - 5. Let k(z) = -8*z**2 + 2*z + z**3 + 0*z**h + 5*z. Calculate k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -25*t + 4. Let n(m) = -53*m + 9. Let k(f) = 4*n(f) - 9*o(f). What is k(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*m + 119548 = -10*m + 114188 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 3. Suppose -8*v - 22 + 158 = 0. Let u(y) = v - 40 + 2*y + 20. Give 3*u(q) + 2*z(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4001084 and 178?\nAnswer: 4001084","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 - u - 2. Let k(p) be the first derivative of f(p). Let a(i) = -4*i**2 + 9*i**2 - 4*i**2. Determine a(k(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2536, 1, -33, 7, -1.\nAnswer: -2536, -33, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 2*b + 1 - b - 1 + 3*b - 5*b + 0*b + (b - 1 + 1)*(0 + 3 - 4) - 3*b + 0*b + b + 3*b + b - 3*b)*(474*b + 2*b + 95*b).\nAnswer: -1713*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75628 is divided by 7542?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2 - 1)\/(-1) - -47. Suppose -6*v = -25 - j. Solve z - 3*z + 8 = -4*w, 3*z - 4*w - v = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q. Let p(c) be the first derivative of -1\/6*c**6 - 5\/3*c**3 + 0*c**2 + 0*c**5 + 0*c - 4 + q*c**4. What is the third derivative of p(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (-18 - -52) - -27?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9055 is divided by 2971.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 220 + 353 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 - -0.81. Which is the nearest to -3? (a) m (b) 3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 6678*t**2 + 11222016*t - 243662848.\nAnswer: (t - 3328)**2*(t - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 8*l - 10. Let h be j(9). Let o be (h - -2)\/((-4)\/(-28)). Let a be -1*(1 + -1 + -1). Calculate the highest common factor of o and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -4, 6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001000010 (base 2) to base 5.\nAnswer: -41001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:18 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7325 divided by -7325?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4410 and -26\/155.\nAnswer: 136710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -p + 1, -60*p + 55*p + 6 = 4*j. Let z(f) = f**2 + 3*f + 2. Suppose 4*q + 3 = 3*q. Let w be z(q). Solve -p*b + u = -u + 4, -w*u = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 2, r: 4, d: 4}. What is prob of sequence rc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68217 is divided by 2361.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304))**2 + 1 - sqrt(304).\nAnswer: 4*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0693960126 rounded to five dps?\nAnswer: 0.0694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 36 = 9*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1254250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -40*f - 3. Let w be i(5). Let p = 731 + -1040. Let l = w - p. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 10*b + 10. Let f be r(-10). Suppose -3*k + f = 4*q, -3*q + 2 + 16 = -3*k. Let 4*m**2 - 2*m + q*m**3 + 2*m**2 - 7*m**3 - m = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 31. Suppose 3*b - 6 = -m. Let s be -10*(5\/(-20))\/(1\/(-2)). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -16. Let f(v) = -v**3 + 15*v**2 + 17*v - 12. Let b be f(16). Suppose -b*x + s*x = 0. Let h(z) = -z. Determine h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1447719675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3044))\/((-2)\/4). Let v = 9881\/9132 - u. What is the common denominator of v and 97\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**9\/(m\/m**0)**(8\/3) assuming m is positive.\nAnswer: m**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4553*p**2 - 2274*p**2 - p**3 - 2279*p**2 + 325*p - 45*p.\nAnswer: -p**3 + 280*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 15. Let x be f(-9). Suppose -x*u = -4*a - 4*u + 4044, -3019 = -3*a - 2*u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*13.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504681 and 651?\nAnswer: 109515777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85572, 171178, 256788, 342402, 428020, 513642?\nAnswer: 599268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*(38\/52)\/19\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -4.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074200*x**2 - 2074200*x**2 + 106*x - 2*x**3.\nAnswer: -2*x**3 + 106*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 2858225497 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 9*z + 11. Let f(u) = -2*u**2 - 3*u + 4. Give -8*f(h) + 3*m(h).\nAnswer: h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*c**2 + 102*c**2 - 224*c**2)*(-2*c**3 + c**3 + 3*c**3).\nAnswer: -70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -27*q + 6. Let b be f(4). Let v = b - -212. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14328004 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k + 80 = -43*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7*o - 32 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/960 or -1\/2?\nAnswer: -1\/960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10171 divided by -42?\nAnswer: 1453\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let d = z + 0. Suppose d*s + 36 = 272. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/72*8*12\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004748 to 7 dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 10*n - 16. Let q be k(7). Suppose -2*z - 18 = 4*v, v + q*z = -0*z. Let l = 58 + -349\/6. Which is the closest to 1? (a) -0.5 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = -5*x, k + 4*x = -0*k + 8. Suppose 4*h = -12, 2*h = k*v - 5*v + 93. What is the smallest common multiple of 90 and v?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k - 64. Let z = -17 - k. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 385 and 350?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + y + y + (-3 + 0 + 4)*(-y - 2 + 2) - 12*y - 14*y + 23*y to v*y + m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -189*y - 6. Let w(v) = 284*v + 9. Let m(g) = 8*o(g) + 5*w(g). Is 40 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34760832, -34760829, -34760824, -34760817, -34760808, -34760797, -34760784?\n\"Answer: y**2 - 34760833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8268 divided by 2756.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1725+5808\nAnswer: 7533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -99792, -5, -4, -3 in ascending order.\nAnswer: -99792, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from llilslgghggligggiggg.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 866\/7 - 124. Which is the biggest value? (a) 4 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 572\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515707 divided by -4343.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.92 + -3. Let k = 0.98 + j. Let a = -0.7 + k. Sort a, -0.5, -1\/5 in decreasing order.\nAnswer: a, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3\/4 (b) -0.1 (c) -2\/9 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + f = 2 - 3, f = d - 1. Let r be 18\/4 - (-48)\/(-8). What is the nearest to 2 in 2\/9, 0.11, r, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, 1, 13, -5.\nAnswer: -418, -5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 64*p**2. Let i = 6 - 5. What is the remainder when z(i) is divided by (-3)\/2 + 621\/18?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/(-126) + 14\/6. Let y = -0.3 + 0.2. Let p = y + -0.9. What is the nearest to p in -1\/6, 0.1, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -6*(3783\/6 + -1). Let a = q + 8222. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/180 and -119\/445560.\nAnswer: 1336680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:55 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6 - 3. Let w be 23\/7 + 4\/(-14). What is the second derivative of 0*k**3 - k**w - k + z*k**3 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.377 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010220 (base 3) to base 8.\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -5*j**3\/6 - 2*j. Let f be a(-1). Suppose f*v = 281 + 44. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 12 = -16*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178272*l - 4 - 178279*l + 4.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -10. Suppose -2*y - h + 5 = 0. Is -21*4\/y*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -5 (c) -1 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 - 460 = 0. Suppose r = -15 + q. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u. Let n be p(0). Let v = -1 + 9. Suppose v*z = 3*z + 20. Solve j - 12 = -3*k + 6*j, z*k - 3*j - 16 = n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 521475 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24890 and 6270?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -39.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 933*y**3 - 5*y**2 + 198?\nAnswer: 5598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 49?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -661.\nAnswer: 98\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 89378.3mm?\nAnswer: 89378300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(567) - (sqrt(567) + (sqrt(567) - (sqrt(567) + sqrt(567)*-2)) + 1)) - (1 + sqrt(567) + 2 + -1 + sqrt(567) + -1)) + -5 + 4 + -5)**2.\nAnswer: 288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1478 - 16268 = -29*j. Calculate the highest common factor of 138 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1574 - 20. List the prime factors of t.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 14 = 44. Suppose -a*w - 122 + 126 = 0. Suppose -10 = -6*k + w. Solve 0 = -k*r - 2 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 1.29?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 41*x = 788 + 994 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/7 + 882*y**2 = 0.\nAnswer: -2058, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**4)*c*c*c*c**12)\/(((c*c\/((c\/(c*c**33))\/c))\/c)\/(c\/(((c**(2\/7)*c)\/c)\/c))) assuming c is positive.\nAnswer: c**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2934075 + -7.54656. Let n = -6.839982 - u. Let c = 3 - n. What is c rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(-16)\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -6*z. Suppose -u + 2 = z*u + 2*l, -3*u = -3*l + 3. Put u, -3, 5, -10 in decreasing order.\nAnswer: 5, u, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-3\/4)*v)\/v)\/v**(-9))**(-22) assuming v is positive.\nAnswer: v**(-407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072*o - 171 = 1059*o - 2150*o. Sort o, 0, -3, 25 in ascending order.\nAnswer: -3, 0, o, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47c8 - 1?\nAnswer: 47c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/(x\/(x*x**28)))*x*x*x**6*x**4*x\/(x*x**1*x*x) assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -330, -5, -42, -1 in decreasing order.\nAnswer: 3, -1, -5, -42, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8344, -8342, -8338, -8332, -8324, -8314, -8302?\nAnswer: -8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - z - 1 = -2*x, 3*x + 5*z - 21 = 0. Suppose -2*n + 4*f + 112 = 0, -x*f + 6*f = -n + 86. Suppose -2*j + n = -32. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 2260*z**2\/3 - 513996*z + 110446848.\nAnswer: -(z - 1216)*(z - 522)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 8 - 29\/2*d**2 - 2*d. Differentiate k(y) wrt y.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/6)\/((-24)\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -590816 divided by -2\nAnswer: 295408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 3*t**3 + 3*t**3 + (t**2 - 3*t**2 + 4*t**2)*(t - 1 + 1) + 485*t**3 - 911*t**3 + 660*t**3.\nAnswer: 238*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((16\/28)\/(24\/28)). Suppose 5*v + 16 = 4*m, -2*v - 13 = -m + 6*m. Let i = v + f. Calculate the remainder when 34 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*c - 62*c**2 - 148*c**2 - 147*c**2.\nAnswer: -357*c**2 + 746*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274357 is divided by 380?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91774, 90148, 87430, 83614, 78694?\n\"Answer: -u**3 - 540*u**2 + u + 92314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. What is the tens digit of 0 + 5\/((-5)\/(-47))*b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 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: Divide -82724 by -26.\nAnswer: 41362\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 5. Let m(x) = -6*x**2 - 8. Suppose -g = -3*r - 23, 3*g - 6*g + 44 = -4*r. Give g*w(d) + 5*m(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1396.2*3\nAnswer: -4188.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 19 = y, 0 = 2*f + f + 4*y - 36. Suppose 21 = -k + 5*q, -7 + 23 = -k + 4*q. Let l = k + f. What is the least common multiple of 8 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 39*z**2 + 31*z**2 + 14*z**2 - 14*z**2.\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.4 (c) 2811 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (46\/3)\/(6\/9). Let p = -82 - -266. What is the greatest common factor of w and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146463515 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17891*h**2 + 40693 - 17886*h**2 - 40693.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (464 + 6*s - 464)*(-8 + 1 + 5) - 1 + 1 - 2*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 6. Let y be c(-3). Is 13 a factor of y*52\/9*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Calculate the remainder when 4 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t = 19*t + 85 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98306516?\nAnswer: 2, 7, 11, 47, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 214758 - 551?\nAnswer: 214207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997 minus -0.76?\nAnswer: -1996.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 31 = 4*m. Suppose 2*q - 1 + 3 = 2*x, 7 = -5*x - q. Let h be (-95)\/30 + x\/m. Which is the second biggest value? (a) -4 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 * -1.604\nAnswer: 0.60952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -458, -31, -4 in increasing order.\nAnswer: -458, -31, -4, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6731 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 803, 3195, 7181, 12761?\n\"Answer: 797*z**2 + z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 25, 18?\n\"Answer: -7*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u. Let y(q) = -7*q. Let r(v) = 4*m(v) + 5*y(v). Let a(z) = 3*z. Calculate a(r(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-21)\/(-112) - (-1 - (12 + -2))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/6*90\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**12*((k*k**(-2\/5))\/k)\/k)\/((k\/k**13)\/k)**(4\/7) assuming k is positive.\nAnswer: k**(-174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 658537 - 5?\nAnswer: 658532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-15)\/40)\/(-6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*h, -1 = f + h + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1636.1 - -14751.6.\nAnswer: 16387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230254*u**2 - 230254*u**2 - 433*u**3 + 261*u wrt u?\nAnswer: -2598*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -27*z**2 - 12*z - 26. Let v be u(-2). Which is smaller: -78 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/7? (a) -0.4 (b) -3 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3 - 8021*m**2 + 95945 with respect to m.\nAnswer: 9*m**2 - 16042*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s - 3*f + 32, -2*s + f = -4. Let m(y) = -2*y**2 - 55*y + 12. Let d be m(-27). Let q = d + -39. Solve -5*l = -s*i + 21, q = 3*l - 2 + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 9 - 14)*(-w**3 - 2*w**3 + 2*w**3) + 33*w**3 - 4*w**2 - 32*w**3 - 1 - 2*w**2 to b*w**2 + m*w + t*w**3 + x and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 15*i = 25. Suppose 2*n + 3*t - 40 = 3*n, 135 = -i*n + 2*t. Let o = -21 - n. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8807\nAnswer: -1\/8807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0 - 9\/2*u**3 + 0*u + 0*u**6 + 0*u**4 - 11*u**2 + 0*u**5 + 4\/35*u**7. What is the derivative of g(b) wrt b?\nAnswer: 96*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 33*m + 6*m - 7*m + 46*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 22 = 6, -5*o + 5 = -5*j. Suppose 0 = j*n + 5*b - 922, -2*b + 311 = n - 4*b. Does 70 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 10.\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2499 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (14 - -27) + -36 - 55?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13483 in 0.5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*l + 5, z = l + 4*l - 5. Calculate the common denominator of (-561)\/90 + 0 - z and -43\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/(12\/(-123780)). Suppose 117*u = 119*u - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(-3*sqrt(567) + sqrt(567) + 2 - sqrt(567))**2 + ((sqrt(567) + 6*-1*sqrt(567))*6)**2)*-6.\nAnswer: -648*sqrt(7) + 3092442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence achh when four letters picked without replacement from aococaioagcoocoihihc?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(30)\/(sqrt(20)\/sqrt(4)))\/(sqrt(3) + sqrt(108)\/sqrt(4)))**2 + -3.\nAnswer: 2*sqrt(2) + 105\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.467 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043439 is divided by 40131?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010100011000001111001 (base 2) to base 11.\nAnswer: 3a23629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5486*l + 7240 + 12619 = 672 - 13729 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 20. Let i be s(-17). Which is the nearest to i? (a) -0.5 (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 97 = 94. Are -1\/522 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/24 + 5*r**3\/2 - 3*r**2. Let k be a(-14). Let j = 2.537 - 0.037. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -10*r**2 - r + 131. Is 4 a factor of w(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27057527 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 42997*s**2 - s - 42997.\nAnswer: (s - 1)*(s + 1)*(s + 42997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - m)*((-4 + 0 + 2)*(14 - 5 - 11) + 6 + 4 - 1)*(-4*m + 3*m + 4*m).\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673 is divided by 1499.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -341, -340?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005577 to 4 decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744 times 0.77?\nAnswer: 2882.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 2437812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -11\/8 (b) -0.2 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7)*5)*1 - (sqrt(209) + (-1*-6*sqrt(209) - sqrt(209) - sqrt(209)))\/sqrt(11))**2.\nAnswer: 10944\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.081 - 0.281. Which is the fourth smallest value? (a) l (b) -2 (c) 0.8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128, 247, 388, 563, 784, 1063, 1412, 1843?\n\"Answer: 2*i**3 - i**2 + 108*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298824105.\nAnswer: 3, 5, 19921607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 4*q + 20 + 4*q to the form f*q + t and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*m - 2*m**2 + 6*m**2 + 213*m in the form g*m + y*m**2 + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 14221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -933, -1169, -1561, -2109, -2813?\nAnswer: -3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g + 3. Let p(a) = -6*a + 3 - 2 + 2. Let f(i) = 4*b(i) - 5*p(i). What is the first derivative of f(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006122074 rounded to 5 dps?\nAnswer: -0.00612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741 is divided by 471?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265 divided by -3.\nAnswer: -1265\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373370?\nAnswer: 2, 5, 37337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -3.4. Let t = -48.1 - -49. Let r = k + t. Sort r, -3, -1\/3 in increasing order.\nAnswer: -3, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(7\/2))**(-2\/7)\/(w**(2\/19)\/(w*w**(1\/34))) assuming w is positive.\nAnswer: w**(7409\/4522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5\/5 - 28524*u**4\/5 + 51054951*u**3\/5 + 16818975354*u**2 - 50528317440*u + 33699136800 = 0.\nAnswer: -1015, 1, 2, 5260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1242\/(-1035))\/(39\/10).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1467*v + 3*v**2 - 692*v - 733*v - 9. Calculate g(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.201 (c) -1\/4523 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -26*r - 174. Give p(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + 3*r + 2. Let i(s) = -5*s**3 - 8*s**2 + 21*s + 69. Give 6*b(a) - i(a).\nAnswer: -a**3 + 2*a**2 - 3*a - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3841751063 from -0.2.\nAnswer: 3841751062.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + r - 15 = 0, -8 + 2 = -2*l + 2*r. Let q be (9 - l)\/(2*-1). Let y be (-6)\/(-4)*(-80)\/q. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 3 + (5 + -4 - -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-107 - -94) + -1 + 14 + (21 - 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:20 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 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: Let z be -4 - (-1)\/(5\/20). Suppose 5*c = -s + 157 + 133, -4*s = z. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 153277\nAnswer: 1532.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u + 2*z - 92, 5*z = 3*u - 331. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157 by 52.\nAnswer: -157\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 968 + 284. Let o = 497 + y. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**6\/6 - 3*r**3 - 4. What is the third derivative of u(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5209666mm to micrometers.\nAnswer: 520.9666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3\/5)*o)\/o**(-10\/7))\/((o\/(o*o**1))\/o)**(1\/60) assuming o is positive.\nAnswer: o**(853\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195373847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -199, -529, -903, -1339, -1855, -2469, -3199, -4063?\n\"Answer: -3*b**3 - 4*b**2 - 297*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5923*a + 35530. Calculate y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66043206 rounded to 3 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*q - 18 + 22. Solve 5*x - 5*t - 25 = 0, q*x + 3*t - 8 - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 - 317. Let s(z) = 16*z**2. Suppose 6*w = 2*w + 24. What is the remainder when s(c) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0*u**7 - 3\/8*u**4 + 1\/24*u**8 + 0*u**6 + 0 + 5*u**2 + 0*u**3 + 0*u**5 + 0*u. Find the second derivative of x(h) wrt h.\nAnswer: 280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8 (b) 1\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -38*t**3 + 8*t**2 - 128*t + 120. Calculate u(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72.4 - -72. Let z be 2\/(-4)*5\/10. Let t = -1 - -1. Which is the nearest to t? (a) s (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 100*w**3 + 35*w**2 - 89. Let k(f) = -67*f**3 - 25*f**2 + 60. Determine 5*i(y) + 7*k(y).\nAnswer: 31*y**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-8)\/c*c))\/c**(1\/3))\/(c\/c**(-4))**(-23))**(-1) assuming c is positive.\nAnswer: c**(-371\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119836 and 1112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -954 + 0?\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + j = 22, 42 = -5*s - j + 4*j. Let k be ((-8)\/6 - 0)*s. What are the prime factors of (-158)\/(-18) + k\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 113, 326, 729, 1382?\n\"Answer: 10*q**3 + 5*q**2 - 2*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r*r**4*((r**(-5)\/r)\/r*r)**(-24))**(-4\/3) assuming r is positive.\nAnswer: r**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -643*j + 81. Let h(x) = x - 10. Let g be h(8). Let m(o) = -214*o + 27. Let i(y) = g*n(y) + 7*m(y). Is i(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.45 - -1.65. What is the closest to -1\/5 in w, -2\/7, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197076 is divided by 546.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -30*q - 7. Let f(l) = 60*l + 15. Suppose -1776 = 330*t - 34*t. What is t*f(z) - 13*r(z)?\nAnswer: 30*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxddvdx. What is prob of sequence xxv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -150 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 273*y**3 + 993*y**2 + 38505*y - 181350 = 0. What is y?\nAnswer: -93, -13, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/8)\/((-3)\/204). Let s = 364 - y. Calculate the greatest common divisor of 119 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(72) + 1)**2 + -1.\nAnswer: 12*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 211 = -3*v, 3*v + 102 = 2*d + v. Let l = 160 + -106. Let x = l + d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1189?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -67*n - 1. Let c be o(-1). Suppose c = -4*m + 214. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1165*y**4 - 406.\nAnswer: -4660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41411214 (base 5) in base 2?\nAnswer: -1010011010110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*c + 106 = 0, 3*o + 3*c = o + 65. Let d be (-2)\/1 + -9*2. Let a = d + o. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by -8\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 147565.\nAnswer: -5902.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*c - 137*c + 110*c)*(3 - 5 + 3).\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + y = -74, -11*w + 3*y = -6*w - 185. Suppose 5*i - w*i + 19200 = 0. Calculate the smallest common multiple of i and 8.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = 46*s - 16*s - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.1 - 38. Which is the second smallest value? (a) 2 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061 - 30.6?\nAnswer: -30.6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 31250?\nAnswer: 125000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040) - (sqrt(5040) + 2*sqrt(5040)))\/((sqrt(1008) - sqrt(1008)*3) + sqrt(7)).\nAnswer: 24*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 7*t**2 + 3*t + 16. Suppose -42*g + 5*g = -20646. Calculate the remainder when g is divided by y(6).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/48*12)\/(14\/(-4))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -21*i - 384. Suppose 4*j - 8 = 3*j + v, 12 = -3*v. Suppose -i = -j*a - 0*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + c = -c - 19, -3*c - 12 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 515132 (base 8) in base 12?\nAnswer: 82876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 8, d: 4, i: 4}. Give prob of sequence ik.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*y - 44 = -2*l, 5*y + 30 = 2*l. Let x(d) = -d + 23. Let t be x(21). What is the remainder when l is divided by (-11 + t)\/(-4 + (-9)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000071355 rounded to 7 dps?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 6. Suppose 0 = 3*t + 6, -2*t = -3*m + 22. Let y(o) = 2*o + 11. Let h(j) = m*y(j) - 11*q(j). Let u(w) = 2*w. Determine h(u(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(4 - 2 + 1) + 2 + 4 - 4 + (1 + 1 - 1)*(-1 - 1 - 1))*((c - 22*c - 26*c)*(1 - 3 + 0) + 119 + 5*c - 119).\nAnswer: -396*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 116398707*r**4 + 26966*r + 1496 wrt r?\nAnswer: 20*r**3 - 1396784484*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 45 = -2*s. What is the third derivative of 21*n**5 + 8*n**s - 8*n**5 + 5*n**5 + 28*n**2 wrt n?\nAnswer: 1560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/2 - 30*r**2 + 57*r - 2. Determine i(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, k: 2, d: 5, v: 2}. What is prob of picking 2 k, 1 v, and 1 d?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 25*f + 1\/20*f**5 + 1\/2*f**4 - 1\/3*f**3 - 5\/2*f**2 + 0. Calculate n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:53 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -2) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let l(a) = -a**3 - 5*a**2 + 3. Suppose -7*x + 3*x - 20 = 0. Let o be l(x). Solve 2*v - 8 = -0*v + q*h, 4 = -v - o*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-33)\/9 + -7. What is the nearest to 1 in 1, r, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, a: 1}. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576*s + 580*s = 8. Sort 35, -1, s in descending order.\nAnswer: 35, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 15495*c + 155450.\nAnswer: -5*(c - 3109)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.15074 seconds in minutes?\nAnswer: 4.469179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493971 is divided by 1865.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 = 5. Suppose 101*p - 378 = -75. Put 8, p, x in increasing order.\nAnswer: x, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3307 + 578 = -185*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = -167*n - 943 + 3029 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21307333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + u + 19, -3*x - 4*u = 38 - 17. Let f = 18 + x. Suppose -t = -7 - f. What is the remainder when 26 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, -0.4, 1\/6, 0.3764?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -23, -40, -55, -68, -79?\n\"Answer: l**2 - 22*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2 + 0)\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 130 + 126 = 0. Suppose 5*z - 23 = -v*b, -b + 3 = -14*z + 18*z. Which is smaller: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2237012 - 2237012 + 456*m**3.\nAnswer: 456*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -1. Let r = 1.6 - 7.6. Let s = 10 + r. Which is the smallest value? (a) s (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1055613601 - 0?\nAnswer: -1055613601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 1:06 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 29*p**2 - 100*p + 20. Let g be k(-25). Solve 17*a + 6 = g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1059 in 0.4, -0.2, -2, -1.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*p + 12 = 6*p, -p = -r - 5. Let l be (-4)\/r*(-336)\/(-96). Suppose 0 = 4*z - z. Solve 4*t + 2*j + 10 = z, 2*t + 2*j + l = 3*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 11 (c) -0.3 (d) 6 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 5. Let b(x) = -x**3 + 5*x**2 + 6*x + 4. Let c be b(6). Suppose -30 = 2*l + 3*r, -65 = c*l + l + 5*r. What is n(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 11 = -29. Let h be -6 + (-6 - -1 - (-3 - 0)). Is h > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1586 plus -2?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1*g**(-4\/13)*g)\/((g*g**(-2\/9)*g*g)\/g**(-7)))**(-2\/37) assuming g is positive.\nAnswer: g**(1658\/4329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 3*r**3\/2 + 55*r**2\/2 - 5405*r. Determine x(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -p + 7, -3*a + 5 = -p + 5*p. Let z be p + 2*(-18)\/21. Suppose -2\/7*s**2 + 0*s + z = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 9. Let t(w) = -3*w + 3. Let q(f) = -7*t(f) - 2*x(f). Let d be q(5). Let o = -2 + d. Solve -3 - 3 = -2*z, -4*c - 2*z + 10 = o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -10 + (18 - 47).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57 (b) -3 (c) 14 (d) -1\/2 (e) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841*d - 868*d - 1017*d - 3539*d.\nAnswer: -6265*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 2:53 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {e: 1, u: 2, n: 3, i: 1, j: 1, l: 10}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 1\/4, 1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2193*q - 2949.\nAnswer: -2193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 50 - 74 = -3*i, 4*l - 114 = 5*i. Suppose 3*h = 7 + l. Let s = 33 + -23. Calculate the smallest common multiple of s and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110708600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -118, -212, -290, -346, -374, -368?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251739 + 251736 - 503475 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1 + 2 - 4 - 7*j + 0. Let s be v(-4). Solve 2*a - s = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2729*z + 3133*z + z**2 - 20558*z to the form h + u*z**2 + b*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1*146\/(-4). Let y = 60 + u. What is the highest common factor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 13) to base 16.\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 947 - 947.5. What is the biggest value in -0.3, r, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 526\/(-248) - (-1 + -1) and ((36\/(-72))\/(1\/(-4)))\/((-704)\/(-2002)).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37365 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 7*g**7\/6 - 21*g**6\/5 + 109*g**5\/20 - 3*g**4 + 2*g**3\/3 - 79*g. Solve h(b) = 0 for b.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2733*y - 36126 + 142642 = -2034*y - 122300 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*p**4 - m**3*p**2 - 15*m**2*p**2 - 26*m*p**4 + m*p**2 wrt p?\nAnswer: -72*m**3*p - 624*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/48 - 17*g**3\/12 - 30*g**2 + 191*g. Factor v(c).\nAnswer: -(c + 10)*(c + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -2441, -8092, -19093, -37226, -64273?\nAnswer: -102016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 58*t - 2875. What is p(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, c: 7}. Give prob of sequence nncn.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -177 + 21. Suppose n = 5*k - d, d - 18 = -k + 5*d. Suppose 4*l - k = -l. Put 3, l, 0 in increasing order.\nAnswer: 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 45 - 129 = 0. Let u be (1\/3)\/((-6)\/216). What is the remainder when 68 is divided by u + 8 + (v - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-25 - 4 - -19) - 11) + 86 + -1?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59\/268 + -2\/67. Let g = -33341486\/133 - -250686. Let w = 30\/19 + g. Which is the nearest to w? (a) -1\/5 (b) x (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7566*m + 1006130. What is f(-133)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 1 w when three letters picked without replacement from {y: 6, w: 3, i: 2, m: 4, k: 2, p: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 3. Let r(t) = 1. Let n(x) = -3*r(x) - y(x). What is n(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 11*z + 3892 = 0. List the prime factors of z.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 w when four letters picked without replacement from {w: 2, r: 1, l: 1, e: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -21*b**5\/5 - 29469*b**4\/5 - 7572*b**3 - 8412*b**2\/5 = 0.\nAnswer: -1402, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 7*t**2 - 7*t + 7. Let a(m) = -m**3 - 23*m**2 + 49*m - 33. Let p be a(-25). Determine u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/240 + 7*z**4\/48 + z**3\/2 + 143*z**2. Factor u(m).\nAnswer: -(m - 3)*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j**2 + 6*j - 3. Calculate b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045 times -0.03?\nAnswer: 31.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4398, 34933, 117784, 279123, 545122?\n\"Answer: 4362*f**3 - 14*f**2 + 43*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 636732 (base 8) to base 15\nAnswer: 42e2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/201*18\/4 - -17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqqqqvoqvooqv. Give prob of picking 3 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*g**2 + 5*g**3 + 6*g**3 - 2 + 45*g**2 + 4*g - 20*g**2 + 3 to m*g**2 + x*g**3 + k + j*g and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 230104541 take away 2?\nAnswer: 230104539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 40*c**2 - 3*c - 2. Is 15 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45277, -90579, -135915, -181291, -226713, -272187, -317719?\nAnswer: -363315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3952 divided by -1772?\nAnswer: 988\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let s be v(1). Suppose 2*t = 2*z - 6 - 22, -3*z = -s*t - 38. Calculate the least common multiple of 18 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 142\/19 in 2\/127, -3, -1\/4?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5782 is divided by 232.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 1029.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.418 (c) 0.2 (d) 22\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 61*m - 62*m + 7 = 0, -p + 3 = 2*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231 - -252. Calculate the least common multiple of c and 357.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 15. Let n be t(5). Let g be 34 + 0 + n - 4. Factor -g*o**2 - 25*o**2 - 163*o**3 - 95*o + 158*o**3 + 180 - 25*o.\nAnswer: -5*(o - 1)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/((-9)\/((-630)\/28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 96 = -4*n. Let u = n - -26. Suppose 6*p - u*p = 44. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/20 + 5*r**4\/4 - 13*r**3\/6 - 9*r**2\/2 + 76*r. Determine f(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*m - 73, -158 - 112 = -5*w + m. Let h be 2\/(-10)*2*(-15 + 345). What is the remainder when w is divided by ((h\/8)\/3)\/(3\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 61*c**2 + 10*c + 27. Is 43 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 1, j: 3, k: 2, i: 1, c: 1}. Give prob of picking 1 b, 1 j, and 1 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 142, 182, 238, 310?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 19*b**2 + 19*b + 20. Let s be h(-20). What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 100*l - 103. Is x(37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/60 - 13*o**3\/15 - 21*o**2\/2 - 171*o. Factor b(i).\nAnswer: -(i + 5)*(i + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07270594 + -0.0727. What is q rounded to 7 dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-459)\/(-12) + -2). Suppose -v = -y + 29, -3*y = 2*v + 62 - 149. What is the greatest common factor of y and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/15))\/p)**29*(p**(-11)\/p)\/((p**(-3\/5)\/p)\/p*p) assuming p is positive.\nAnswer: p**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 - 16*k + 84. Let o be a(4). Let g be ((-2 + 1)*-3)\/(-1). Let r be 40\/6*g\/(-2). Solve 0 = -o*c - 30 + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21112000 (base 3) to base 13\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.12 (b) 2\/15 (c) 5 (d) 90 (e) -15 (f) -4 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 325 + -308. Suppose -410 = -5*n - 8*x + 3*x, 2*x = -6. What is the highest common divisor of p and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 197690317?\nAnswer: 988451585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/188 or -1?\nAnswer: 21\/188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75021, -150009, -224997?\nAnswer: -299985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = q - 15, 3*q = 5*q + 3*j + 6. Let l = 0 - 1. Suppose 2*d = 2*f - 0*d - 4, d = -f + 8. Sort f, q, l in increasing order.\nAnswer: l, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/13)\/((-20)\/13).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/928 + 0 - ((-162)\/144)\/9.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*g**2 + 130*g - 130*g.\nAnswer: -208*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 25 = -0*p + p, -5*v = p + 23. Let d = p - -76. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22658 and 0.4.\nAnswer: 22658.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1460474112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185856 by -363.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*f)*((-4*f + 6*f - 3*f)*(-2 + 3 - 3) + (6 - 3 - 1)*(-2*f + 3*f + f) - f + 4*f + 0*f - 3*f + 4*f - 3*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82668)\/10956 + (-12)\/(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 155?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -56*v**2. Let p(s) = 16*s**2 + 5715*s. Give p(g(j)).\nAnswer: 50176*j**4 - 320040*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d - 2*v, 13*d + v - 16 = 9*d. Solve 0 = 2*m + 2*u + 18, m - d*u - 53 = -46 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 86.8. Put -10, -2\/11, k in ascending order.\nAnswer: -10, k, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11346 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 997634561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.05 (b) 0.5 (c) 9 (d) -0.1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2668 in 2\/5, -46, -5, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibcccccillbl. What is prob of picking 2 c and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14041222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3353 - 2*c + 841 + 840 + 837 + 835.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 6*a**2 + 115 - 3*a**2 - 216 + 118 to the form w + i*a + b*a**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/(-9)*(-306)\/(-357). Sort -5, -4, r, -46.\nAnswer: -46, -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Let j = 17 - 12. Suppose 0 = 71*n - 1122 + 412. What is the lowest common multiple of n and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i**3 - 153*i**2 + 8*i - 63. What is c(-11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)\/r)\/r**(3\/2) assuming r is positive.\nAnswer: r**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 9, -9, -3 in ascending order.\nAnswer: -9, -4, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + 4 + 75 + (-6 - 94).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than or equal to 20\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) 4\/5 (d) 5\/2 (e) 1 (f) 1\/11 (g) 3428\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 9*d + 2*g = d + 56, 3*g - 84 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 11*g - 38. Give p(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84642, 338628, 761946, 1354596?\nAnswer: 2116578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 2 - -1)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) -584 (d) -0.08 (e) 4 (f) -0.4 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 0.3?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101766 rounded to 4 decimal places?\nAnswer: 0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1136082992 to the nearest integer?\nAnswer: 33706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66631280923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10 (b) 1\/6 (c) -2\/7 (d) 7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 60 = 20. Let y = j + 34. Let t = 0 + y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1363\/44 - 162\/11. Let t = w + -16. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(3\/5)*p))\/p)**(-15)\/(p**(-1))**(-3\/10) assuming p is positive.\nAnswer: p**(237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 10*k**2 - 8*k + 2. Calculate a(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 527*h + 1578. Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 51*t - 20. Let y be v(3). Let b = 140 - y. Which is smaller: 11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -899 (b) -1\/4 (c) 34\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 9 = 14*h. Solve 0 = -4*r + 2*a - 1 - 5, -h*a = -3*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/(1\/(-39)). Suppose -2*t + 3*t - 15 = 3*n, 20 = -4*n. List the prime factors of (t - u)\/(-5 - -6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 620604, 1241237, 1861938, 2482713, 3103568, 3724509, 4345542?\n\"Answer: f**3 + 28*f**2 + 620542*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18188394 to the nearest integer?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 22 = -j, -372*t + 2*j + 16 = -374*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/((-1)\/75). Let k = 4 - p. Let g be (-20)\/(-3) - (-14)\/k. Solve g*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from dcsdsdsdddssscsscsd.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151335 = 54*f - 20*f - 19*f. What are the prime factors of f?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -31031 divided by -91\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3, -l + 6*l = -5*q + 94765. What is the tens digit of q\/182 - 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 56 + 16*z + 1\/2*z**4 - 4*z**2 - 4\/3*z**3. Factor o(w).\nAnswer: 2*(w - 2)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**3 + 187238*y + 6343374 wrt y?\nAnswer: -6*y**2 + 187238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**3 - 16*t**2 + t - 10. Let m(w) = 5*w**3 - 8*w**2 - 6. Let o(r) = 3*g(r) - 5*m(r). Let s(l) = -4*l**3 + 7*l**2 - 3*l. Give 5*o(k) + 6*s(k).\nAnswer: k**3 + 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(425) + 1) + sqrt(425) + -1 + sqrt(425)*1)*-6)**2 + ((3 + 1 + sqrt(425) + sqrt(425) - sqrt(425)) + sqrt(425))**2 + 5 + -1.\nAnswer: 3680*sqrt(17) + 63820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1261 divided by -189596\nAnswer: -1261\/189596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/((h\/h**7)\/h)*h*h**(-5\/3)*(((h**(-2\/3)*h)\/h)\/h)**33 assuming h is positive.\nAnswer: h**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/115 - -9\/23. Let g = 9351 + -37671\/4. Let r = -4531\/68 - g. What is the second smallest value in -4, r, s, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 5, d: 2, m: 4}. What is prob of sequence mznz?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199*t**4 + 271*t**3 + 53914 wrt t.\nAnswer: -796*t**3 + 813*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -44. Find the third derivative of -k**4 - 38*k**3 + d*k**3 + k**2 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/7, -0.4, -79, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 - 15*g**2 - 23*g + 2. List the prime factors of c(-17).\nAnswer: 2, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*x - 15 = 0, 2*m + 2*m = -3*x + 14. Suppose 0 = -m*v + 4*w + 106, 0 = 4*v - v - 3*w - 63. Calculate the remainder when 108 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 244.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3 + 46*d**2 + 313 wrt d?\nAnswer: 6*d**2 + 92*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:19 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233.3 + -233. Which is the second smallest value? (a) 19 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 - d**3 - d**3 + (-41*d**2 + 27*d**2 - 37*d**2)*(-d + d + 2*d) in the form r + c*d**2 + l*d + k*d**3 and give k.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:45 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 969 = 776 - 1910 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/324)\/((-6)\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 61\/2*y**2 + 0*y - 93. Let b(h) = -2*h. Calculate c(b(d)).\nAnswer: -122*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let h be f(3). Let r = 10.6 - 12.6. Which is the third smallest value? (a) 2\/5 (b) h (c) -1\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -636, -623, -602, -573?\n\"Answer: 4*q**2 + q - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {e: 1, b: 3, f: 1, n: 2, s: 1, c: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 107. Let x = i + -75.9. Let r = -112 - -1906\/17. Put -1\/3, x, -0.1, r in descending order.\nAnswer: r, x, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 202 = -a, -5*a + 822 + 143 = -v. Suppose 5*r + a = 5*y + 72, 4*r + 12 = 0. Let h = 12 - y. What is h rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9 - 4.921. Let o = 0.079 - z. Let c = -0.43 - -0.03. What is the third smallest value in 0.3, o, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p + 4*w - 9, 3*p - w = 43351 - 43382 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 5)*(-1 + 3*i**2 + 1) - 6*i**2 + 4*i**2 + 4*i**2)*(i**2 + 0*i**2 - 6*i**2).\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 2*s**2 + s**2)*(-s + 2*s**2 + s) + 0*s**3 + 25*s**4 + s**3 - 62*s**4 + 57*s**4 + 71*s**4 + 49*s**4.\nAnswer: 138*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1656, 6436, 14410, 25584, 39964, 57556, 78366?\nAnswer: 102400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 162292768 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5942740969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -209 - 3*p**2 + 209 as b + o*p**2 + y*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -65 - -56 - (-20 + 2). Solve 5*s + 5*f + 25 = 10, s - 5*f = n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = -3*t + 234, -4*b - t + 324 = 0. Let k be (b\/(-492))\/((-1)\/(-3)). What is the nearest to k in 8, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:50 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11870\/19 at least 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 20, 1\/59, -0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 150. Let u(k) be the third derivative of -3*k**y + 0 - 1\/6*k**4 - 1\/3*k**3 + 0*k - 1\/30*k**5. Find c, given that u(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 24 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1908 and -4159?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-1)\/(2\/6). Let p be 3\/12 + t\/8. Solve -2*j + 3*i - p = 0, 5*j + 9 = 3*i + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2871 - 2866. Solve -18 = -f*x + l, 3*x + 0*l - 20 = -4*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -c - 4*g, -4*c + 0*g - 3*g + 31 = 0. Let v(x) = 2*x - 3*x**2 + 2*x**2 + 15 + 2. Let d be v(5). Sort d, 1, c in ascending order.\nAnswer: 1, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27945250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*i + 2*i. Which is the closest to 2\/7? (a) -0.5 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10120013?\nAnswer: -10120013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 143. What is the smallest value in -3, o, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 768968244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 2324240?\nAnswer: 2324240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 14*n + 10*n - 18 = 0, 5*o = -n - 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**(-3))**1 assuming f is positive.\nAnswer: f**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10381*1\nAnswer: -10381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2. Let k(u) be the first derivative of 19*u**2\/2 + 10*u - 43. Give k(j(g)).\nAnswer: 19*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 21 = -w, 0*w + w - 5*j - 26 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 115276*l - 576381. Give z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -1. Let z be (-34)\/a - 3\/6. Is (-2)\/z - 93\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2077 - -8305\/4. Which is the fourth smallest value? (a) -0.04 (b) 10 (c) x (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 6:11 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1389148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/(-3) - (-2)\/(-6). Let i(k) = 2*k**2 - 74*k + 146. Let w be i(36). Let m = w - a. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/16 + 11*t**3\/6 + 141*t**2\/8 + 63*t + 3131. Solve b(z) = 0 for z.\nAnswer: -12, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:44 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-2.86.\nAnswer: -77.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 7*t**2 + 6*t**2 - 384*t)*(-1 - 3 + 3)*(2*t + 0*t + t).\nAnswer: 6*t**3 + 1152*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Suppose 4*u = 3*n + 4, 5 = -r*n + 6*u - u. Let q = 969 - 965. Solve 14 = -2*t + 5*c, q*c + n*c = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -308*d + 618. Let t be f(2). Solve -c + 10 = t*w + w, 0 = w + 8*c + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 417 or 95472\/229?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 8*w + 65. Let u be p(10). Find the third derivative of 128*s - u*s**2 - 128*s - 17*s**3 wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66620 by 13324.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3*z. Let a be 1 + (2 + z)\/(-8). Let g = 4.8 - 5.3. What is the second smallest value in g, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -26, -1\/3, 8, 1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 0*s**4 + s**4)*((5 - 3 - 1)*(-2*s - 3 + 3) + (-3 + 2 - 1)*(32*s + 12 - 12)).\nAnswer: 66*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-260)*(-5)\/3. Let k(d) be the first derivative of 3 - j*d**3 - 1\/5*d**5 + 0*d + 5\/16*d**4 + 0*d**2. Factor k(r).\nAnswer: -r**2*(r - 1)*(4*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 + 10*j - 2*j**2 - 12*j - 3 + j**3 - 3*j**3. Let k be t(3). Solve 2*d - 6 = w, k = -2*w - w + 2*d - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {m: 1, v: 3, f: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 + b. Let l(q) = 39*q**2 - 6*q. Calculate -2*l(z) - 11*w(z).\nAnswer: 10*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14188583 and 401?\nAnswer: 14188583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 - 5*s**3\/3 + 3*s**2\/2 - 6*s - 2. Let a be w(5). What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13747*a**3 - 5696*a**3 + 40224*a**3 + 30518*a**3.\nAnswer: 51299*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 39\/3350?\nAnswer: 39\/3350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*y = -2, 0 = 2*c + 2*y - 5 - 5. Solve 0 = 3*n + c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 + 683*j - 3504. Determine p(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(28)\/sqrt(2))\/(sqrt(28)*6))**2*2 - (-5 + sqrt(200)*-3 + 2 + -4)**2.\nAnswer: -16637\/9 - 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22731*w**3*y**2 - w**3*y + 3*w**3 - 1777965*w**2*y**2 wrt w?\nAnswer: -136386*y**2 - 6*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -25*o + 291. Suppose -33*v + o*v = -176. Calculate the greatest common factor of v and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 984\/(-44) + 112\/308.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*i**2*q**2 - 272*i**2 - i*q wrt q.\nAnswer: -578*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (25\/(-10))\/(3\/18). Let v = f - -53. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 37*c + 2. Let p be n(1). Let j = p - 40. Let v be j*4\/2*-10. Calculate the greatest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208575234, 417150470, 625725706, 834300942, 1042876178, 1251451414?\nAnswer: 1460026650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8432137, 8432139, 8432141, 8432143, 8432145?\n\"Answer: 2*c + 8432135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c - 16*c - c**2 + 341 - 18*c + 0*c**2.\nAnswer: -c**2 - 62*c + 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -58\/71 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -110\nAnswer: -7\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31601947 is divided by 2364?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (16 - 40 - -63) + 13.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242889038 divided by 96923.\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2 + 13*n + 31. Let c be r(-5). Let d = c + 195. Let j = -2 - -4. What is the least common multiple of j and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5360 and 130?\nAnswer: 69680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l + 1\/21*l**6 + 3\/7*l**4 + 8\/35*l**5 - 1 + 1\/7*l**2 + 8\/21*l**3. Factor h(n).\nAnswer: 2*n*(n + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474 - 236 - 2*t**2 - 238.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-24800)\/1280 + (-5)\/8\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 = q + 3*n - 662, 4*q - n = 14. Solve 16 = -0*g - 5*g + i, 0 = -5*g - q*i - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17300.77nm?\nAnswer: 0.00000001730077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.4, -5\/6, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0*p**2 - 9*p - 6 + 6 - p**2. Let s be l(-8). Let w(g) = -2*g - 1. Let o(r) = 5*r + 3. Determine s*w(u) + 3*o(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25631\/6 - -4272. Which is the closest to -105? (a) -2 (b) -3 (c) v (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*x**2 - 125*x**2 + 38*x**2 + 23*x**2.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 11003\nAnswer: 2\/11003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = 10*x + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -451, -681, -913, -1147?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/((-39)\/(-90)) + (9 - 11). Suppose z*u - 364 = 28. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 11:31 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 3007?\nAnswer: 81189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 24 = 3*y. Suppose -3*g = 3, -3*n + 4*g - 23 = -4*n. What is the remainder when n is divided by y + (2 - (1 + 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56338001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:09 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3*7\/(-20)*12\/546*-30.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7484 + 6650. Suppose 5*j - 11871 = y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -941\/2 - -469. What is the closest to b in 0.3, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/15 + z**4\/8 + z**2 + 30*z. Let s(l) be the first derivative of d(l). Find the second derivative of s(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*w - 747, 4*w = 5*z + 95 + 491. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.5, -6, 0.4, -4\/9 in decreasing order.\nAnswer: 27, 0.4, -4\/9, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-58)\/145)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -3424?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 2. Suppose -t + 8 = t. Suppose v = -5*d + 4, -d = -2*d + 1. Which is the closest to g? (a) v (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.7097625 + 15.71. What is f rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 4160.\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -953, -2169, -3877, -6077, -8769, -11953?\nAnswer: -15629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21484.4 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 1, 8, -1 in decreasing order.\nAnswer: 8, 1, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6802.3199 * 4\nAnswer: -27209.2796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*a - 0 + 21, -5 = 2*g + 5*a. Let u = -9 - g. Sort -3, u, 4 in decreasing order.\nAnswer: 4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3519591*b**2 - 4565445 with respect to b.\nAnswer: -7039182*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 13. Let x be s(-3). Which is the third biggest value? (a) x (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04493 and -5.8.\nAnswer: -0.260594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 2, -2, -5\/2 in descending order.\nAnswer: 2, 1, -0.4, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 29*u**2 - 62*u + 12. Let m be w(31). What is the greatest common factor of 366 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214541807 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1323 + -3968\/3. Let f be 38\/95 + (-24)\/35. Is j at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 14\/126. Solve -q*z**3 + 1\/3*z + 1\/3*z**2 - 1\/3 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 18*w + 58. What is c(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-2*-5)\/(sqrt(10)\/(sqrt(2)*3*6)).\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10) + (6 - (-1 - -6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-255 + 78 - 157)*(-2*w - w + w)*(w**2 - 10*w**2 + 2*w**2) to the form f*w**3 + m*w + z + c*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + 509.346\nAnswer: 509.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 36 - (-28 - -2 - -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -43, -70, -115, -184, -283, -418, -595?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k + 89*k**2 + 17*k + 126*k**2 to the form i*k + v + g*k**2 and give g.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 4*c + 4*s, -372*s = -c - 371*s - 27 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4009583 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**4 - 87*s**3 - 12*s - 21920 wrt s.\nAnswer: -4*s**3 - 261*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -32. Suppose 0 = 3*i + k - 583. What is the units digit of -4 - i\/(-12)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 11*r + 16. Determine i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**48*i\/(i\/(i\/(i\/i**0*i))*i)*(i\/i**(1\/2))\/i*i assuming i is positive.\nAnswer: i**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735 (base 8) in base 14?\nAnswer: a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:47 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p. Let u(z) be the first derivative of 11*z**5\/2 + z**2 + 58*z + 27. Let d(s) be the second derivative of u(s). What is d(t(j))?\nAnswer: 330*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 26*d. Let j(h) = h. Let n(a) = -39*j(a) + k(a). Let c(o) = -207*o. Let z(w) = -4*c(w) + 63*n(w). What are the prime factors of z(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20383 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8361600 and 3.\nAnswer: -25084800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/6881 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i + 5. Let c(w) = -3*w + 11. Let g be c(6). Is 18 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/177)\/((-5)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93121 - 1.1.\nAnswer: -93122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*a + 192*a + 200*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/4548, 2\/15, 524 in decreasing order.\nAnswer: 524, 1, 2\/15, 1\/4548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872 divided by -208?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(9\/(-3)) + -21. What is the common denominator of -107\/26 and 4\/j + 147\/(-108)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqnqnnhqqqnqj. What is prob of sequence nj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2436 minus -5?\nAnswer: 4.7564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {j: 2, x: 5, s: 1, o: 9, q: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g + 10. Solve -8 = s - 2*s + 3*r, -2*s + 2*r + g = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 6.1246375.\nAnswer: -12.249275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - 12?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 129416, -296, 4 in descending order.\nAnswer: 129416, 4, 1, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -101.9999933. Round z to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/4*(-1 + 0). Suppose -4*s - 4 = -h*m, 4*s - m - 4 = 2*m. Solve 15 = -s*u + u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -87\/5. What is the nearest to 1 in -0.3, 1\/9, k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227078336 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(22)\/sqrt(2)))**2 + (-2*sqrt(1331) - sqrt(11))**2.\nAnswer: 5830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**9\/30240 - h**8\/10080 - h**5\/20 - 2*h**2. Let d(i) be the third derivative of v(i). Find q, given that d(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519.8 + -0.005.\nAnswer: 519.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 348456718*b**3*k**2 + 57*b**3*k + 537*b**3 - 37*b**2*k - b*k wrt k.\nAnswer: 696913436*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l - 1468 + 3748 = -3861 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6. Let w(v) = 6*v + 11. Let u(g) = -5*j(g) + w(g). Let z(r) = -r**2. What is z(u(a))?\nAnswer: -36*a**2 + 228*a - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmll when four letters picked without replacement from {m: 2, a: 1, z: 1, l: 2, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let w = 65\/261 + -4\/29. Which is the closest to t? (a) 1\/10 (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -684 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Suppose -2*c + 13 + f = 0. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845176 > 2845052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(7)*4 - -1*sqrt(114)\/sqrt(6).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 32*w + 84. Let k be i(-29). What is the units digit of (-4 + k + 6)*-1*600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2416, -4835, -7254, -9673, -12092, -14511?\n\"Answer: -2419*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {j: 3, f: 1, z: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**2 + 0 - 17\/3*w**3 + 19*w + 0*w**4 + 5\/4*w**5. Find the second derivative of d(n) wrt n.\nAnswer: 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19139 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 185*p - 360. Determine u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*r = 12, -5*r - 13 = 5*g - 38. Suppose -7 = g*t + 5. List the prime factors of (3 - 5)\/(t\/256).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = a + 13, z + 9 = -3*a + 22. Suppose 5*t = z*t. Suppose -4*i - 2*l = t, 4 = -3*i - 5*l - 3. Which is smaller: i or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8793 - 8786. Solve -24*s + x = 127 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1 = -5*s, 3*s + 4 = -3*o - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*y**4 - y**3 + 808*y**2 + 699381*y?\nAnswer: 180*y**2 - 6*y + 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-1)\/(-1) - -1). Suppose 3*t + 10 = 4*b + 66, -42 = -2*t + m*b. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 909*b**3*m**2 + 5*b**3 + 51*b**2*m - b**2 - 2*b*m**2 + 2*b wrt m?\nAnswer: 1818*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2722 in decreasing order.\nAnswer: 4, -1, -2722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let q(r) = -2*r**2 + 4. Let y(o) = 2*m(o) + q(o). Factor y(d).\nAnswer: -2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 290473, 292108, 293743?\n\"Answer: 1635*z + 288838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 1875\/1391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -14. Let i be 2\/((-9)\/15 - -1). Let h = i - 7. Put -5, h, b in descending order.\nAnswer: b, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 divided by -201?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-185)\/1665*0\/(4 + -2). Are 43 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k - 3. Suppose u - k*u - 102 = 0. Let y = u - -69. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:30 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -17 + 4*t**2 - 3*t - 3*t - 14*t**2 - 9 + 12*t**2. Calculate b(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*m**2 - 78*m**2 + 62*m**2.\nAnswer: -162*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10374471, 20748943, 31123415, 41497887, 51872359, 62246831?\nAnswer: 72621303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5276580 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2176 + 2168 - 4347 + d**2 = 0 for d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*g = 663*g + 55*g - 21022 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, z: 3, d: 11}. Give prob of picking 3 d.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.7247*-0.056\nAnswer: 0.0405832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.023809 decades?\nAnswer: 2.85708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/(y**(-3\/4)*y))**46 assuming y is positive.\nAnswer: y**(989\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144225278 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-1)*6\/(-15). Let r = -27719\/6 + 4603. What is the common denominator of r and ((-9)\/a)\/((-18)\/(-110))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + i - 6*i - 17, 0 = -2*i - 4. Let o be 2\/11 + (-2)\/11. Solve -2*a - y = 3*d, 4*d - 29 = -o*a + 5*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58853.\nAnswer: 229, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7236, 4 in decreasing order.\nAnswer: 7236, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = -4*q - 16, -14*q + 16*q + 20*r = 21*r + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -184, 225, 1110, 2651, 5028, 8421?\nAnswer: 13010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111220 + -10101?\nAnswer: 1101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/2 + -2)\/1. Let z(c) = 18*c**2 + 2*c + 2. Is 11 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**2 - 2*z + 3\/2.\nAnswer: (z - 3)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2237846 take away -0.01?\nAnswer: -2237845.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 524478 and 39.\nAnswer: 6818214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3b738 (base 12) to base 15\nAnswer: -19598","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejjefefee. What is prob of sequence je?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6610*w**3 - 100*w - 6614*w**3 + 100*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*i = -0*i + 185, 0 = 2*i - 10. Calculate the remainder when r is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.41503 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -134 + 263 + -183 - (-4 - -4 - (-1 - -15))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**2 + 256*a - 2673. What is s(15)?\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -102442 (base 7) to base 11\nAnswer: -12349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59773 divided by 11?\nAnswer: 59773\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.45 greater than -298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 493 - 490. Solve 1\/4*u**4 + 0 - 1\/4*u**2 - 1\/4*u**f + 1\/4*u = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222.08 - -222. Which is the fourth smallest value? (a) n (b) 1 (c) 5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a**5\/5 + 3*a**4 - 46*a**3\/5 + 24*a**2\/5 = 0. What is a?\nAnswer: -4, 0, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2 + 3*r + 0*r**2 + 5\/3*r**3. What is the tens digit of t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2444\/208)\/(-47))\/(((-15)\/(-216))\/(-5))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Let u be 6\/4*40\/12. Suppose 0 = h + u*f + m, f + 15 = -4*f. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20547 - -263618. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 6*d. Give p(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2549 = 4*g + 6853, -2*o + 2148 = -4*g. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 92, 165, 256, 365, 492?\n\"Answer: 9*q**2 + 28*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85714543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227283.\nAnswer: 47, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 46*z**2 - 2300*z - 83. Determine s(50).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -242*k + 1329 + 2543 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*2560\/384*27\/(-30)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2, 3\/26, 0.2, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75625 is divided by 37750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4441, 10614, 16787, 22960, 29133, 35306?\n\"Answer: 6173*o - 1732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let b(a) = -4*a + i*a + 2*a + 3*a**2. Let p(o) = -o**2 + 5*o + 5. Let k(z) = -3*z**2 + 12*z + 12. Let c(j) = -5*k(j) + 12*p(j). Give b(c(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2103051548 - -2032.\nAnswer: 2103053580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:41 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17524.9 rounded to the nearest one hundred?\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1314\/315 - 105\/(-75).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/11 + 654*x + 28744\/11 = 0.\nAnswer: -3593, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19, 0, -0.1, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmmggmgmgmg. What is prob of picking 3 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 7*j - 4. Let g(d) = -d**3 + 6*d**2 + 186*d + 21. Let h be g(17). Let i(m) = -m + 1. Calculate h*i(k) + w(k).\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - 7*h - h**4 + 12*h + (-4*h + 3*h - h)*(-2 + 2 - 4*h**3).\nAnswer: 7*h**4 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 4 - 2\/(-2). Solve b*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 55*k - 1. Let l be y(-5). Let n be ((-99)\/(-55))\/((-3)\/(-10)). What is the units digit of l\/(-14) + n\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 + -42.22491?\nAnswer: -192.22491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**3 - 18*l**2 + l - 121. Calculate g(-6).\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202561887?\nAnswer: 2202561887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i - 4*i)*(10405*i - 10405*i + 64*i**2) + 0*i**3 - i**3 + 0*i**3.\nAnswer: -577*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560294*i**3 + 350763*i.\nAnswer: -3361764*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10860905 to the nearest integer?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21280 divided by -8?\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.1 (b) 48 (c) 0.11 (d) -2 (e) -1\/3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 71*m - 260. What is j(29)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*v + 28 = 0. Solve 5*y + 15 = 4*m + v*y, 4*m + 5*y = 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - j = -5, -j - 5 = -5*b + 4*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5 - w**4\/6 - w**3 + w**2\/2 - 42*w. Find the second derivative of c(u) wrt u.\nAnswer: -120*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7.42. Let d = -0.72 + q. Which is the second smallest value? (a) 0 (b) d (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -2, -1, 0, 1?\n\"Answer: p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1469, -1468, -1467?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*c - 11 = 0, -5*d = 3*c - 2*c - 9. Suppose 0 = -3*v + 5*v - d*t - 20794, -v - 5*t = -10415. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/1057 in 0.2, -4\/3, 2\/7, -141.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -28 (b) 2\/11 (c) -8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000261 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-3)\/6)*(2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 1. Let g be j(1). Let d = g - -5. Let u = 8 - 5. Calculate the smallest common multiple of u and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = 9*i. Let j = 6 + i. Solve 0 = 2*l + 9 - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 28 = -22*x + 124 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-5505484)\/16)\/(9\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 989 and -0.038817?\nAnswer: -38.390013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11099*f**4 + 2767*f**2 + 7*f wrt f.\nAnswer: -266376*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 78*t**4 - 648*t**3 + 1458*t**2 + 2187*t = 0. What is t?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2 - sqrt(63)\/(-2*sqrt(9))) + 0.\nAnswer: 41*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 412001159707?\nAnswer: 412001159710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/5)\/w)**25\/(w**8)**(-2\/39) assuming w is positive.\nAnswer: w**(211\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1143342215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-70) + -10)\/(((-408)\/80)\/(-17)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*o**3 + 5677634*o**2 - 287592312 wrt o.\nAnswer: 138*o**2 + 11355268*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 0*k**2 + 11*k + k**2 - k.\nAnswer: -k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 13*l - 12035 + 5990. Suppose -2*d - 3*d = -155. What is the greatest common factor of d and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3836.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*t = 131848, -299*t + 263774 = 4*j - 304*t. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**4\/48 + k**3\/12 + 3*k**2\/8 + 50*k. Find u, given that a(u) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 70000*i**3 - i**2 - i. Let y be p(-1). Round y to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z + 2. Suppose 185*i - 180*i = 30. Suppose i*w = 65 - 95. Let r(g) = -8*g + 2. Calculate w*j(k) + 6*r(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 5*s + 49. Give n(12).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63138 and 16626.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-35))\/(3100\/(-60760)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 29 (c) 7.7 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i - 6. Suppose 3*p - 14 - 12 = 4*d, 15 = 5*p - d. Suppose -7*s + 10 = -p*s. Solve i*r - 4 = -s*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 242 = -4*q + 2*p, 0 = -q + p - 61. Let t = q - -54. Let g = 11 + t. Solve -6 + 2 = 5*m - 2*x, -19 = 2*m + g*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38825 and 0.07.\nAnswer: 2717.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 10*v**2 + 8*v + 13. Let o be (-18)\/5*(-15)\/6. Let u be y(o). Suppose u*f - 32 - 4 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91156*n**2 + 92252*n wrt n?\nAnswer: 182312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 6. Let i be g(6). Let h = 235\/51 + 1\/17. What is the common denominator of (55\/(-90))\/(2\/i) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 182 + 7*j - 173 - j**2 - 3*j + 2*j**2. Let k(r) = r + 1. Let c(p) = 6*k(p) - u(p). What is c(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 - 2.78. Suppose 20*o = 21*o - 39. Which is the third smallest value? (a) o (b) -1\/6 (c) 0 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39937 or 39926?\nAnswer: 39937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - -2) + -2)*15. Suppose 4*o = o + a, 0 = 4*x - o - 3815. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, -641, -1591?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - 186*c**2 + 58*c + 78. List the prime factors of l(-47).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - q + 3*q)*(-5 - 1 + 3)*(-8719 + 8719 + 106*q).\nAnswer: 318*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1794 and 334880?\nAnswer: 1004640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111, 103, 95, 87, 79?\n\"Answer: -8*k + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/4 (b) 4\/237 (c) 3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153358*f + 195525?\nAnswer: -153358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1047 - -177.807876039\nAnswer: 1224.807876039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22791 - -2256340\/99. Calculate the common denominator of -16\/297 and t.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5671, -5643, -5623, -5617, -5631, -5671, -5743?\nAnswer: -5853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 2*p**2 - 74469*p - 3*p**4 + p**4 + 74445*p to n*p**4 + g + c*p**3 + b*p**2 + d*p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpq when three letters picked without replacement from pplpqlqpqxlpgpqxxq?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajadkxddzxak. What is prob of picking 1 k and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - i = 6*v - 40*v - 859, 187 = -3*v - 5*i for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*v = 16, -3*v + 7*v = 4*t. What is the third derivative of -5*y**2 - 4*y**t + 12*y**5 - 3*y**5 - y**2 wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 2 (c) -1\/3 (d) -0.08 (e) 3\/2 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/4 - (-1010)\/808. Put -2\/27, -24, m, -2 in descending order.\nAnswer: m, -2\/27, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*h**2 - 21*h**4 + 260*h**2 - 131*h**2 + (-55*h**2 + 55*h**2 + 10*h**3)*(0*h + 3*h - 2*h) to t*h + u*h**2 + k*h**4 + c*h**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 53 = -3*m - 2*t, m + 2*t = 4. Suppose 0 = 2*a - 18 - 2. What is the lowest common multiple of a and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -93, -200, -349, -540, -773, -1048?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/28*7 + 2\/(-4). Let d(y) be the first derivative of -1 - y**2 + 0*y - 8\/3*y**3 - f*y**4. Factor d(n).\nAnswer: -2*n*(n + 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 4) + 4\/(-1). What is the units digit of (-2)\/1 + u + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*c - 4*c - 18, 21 = 3*v - 3*c. Suppose -u = v*u, -45 = -5*d + 3*u. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578.87 nanometers in kilometers?\nAnswer: 0.00000000257887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -3, -35, -89, -171?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1571930961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -454\/88909 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/218 and 35\/8066.\nAnswer: 8066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, n: 8, s: 4, b: 4}. What is prob of sequence nn?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 550717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274063 by -36.\nAnswer: 274063\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112659 is divided by 931?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) - (sqrt(28)\/sqrt(4) + sqrt(7))))**2 - ((sqrt(80) - (sqrt(80) + 2 + sqrt(80)))**2 - sqrt(5)).\nAnswer: -79 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {c: 1, k: 3, a: 4, w: 1, m: 4, e: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(88) + sqrt(88)*2*-3 + sqrt(88) - -4*sqrt(88)*1))\/((2*sqrt(88)*-1 + sqrt(88))\/(sqrt(11) + 6*sqrt(99))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-8)\/16)\/(7\/(-14)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 717191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -180.84\nAnswer: -180.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -11, -13, -15, -17?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*i**2*m - 5*g*i*k*m - 2*g*k*m + g*k - 12*i*k**2*m - 7*k**2 - 5*m wrt i.\nAnswer: 4*g*i*m - 5*g*k*m - 12*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/32560 and 131\/154660?\nAnswer: 618640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2. Let c(d) = -2*d**2. Let a(g) = -14*c(g) + 5*z(g). Let t(n) = 7*n**2. Determine t(a(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160551 is divided by 160479?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 211*o + 1909. Suppose 0 = -2*t + 27 + 11. What is the remainder when t is divided by l(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 3*j - 2*j)*((0 + 0 - j)*(2*j - 1 + 1) + 4*j**2 - 16*j**2 - 9*j**2) - j**3 + 1 - 1 as s*j**2 + f + q*j + m*j**3 and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 472 * -332.6.\nAnswer: -156987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*m + 5699 = 5717, 2*m = 2*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3791 or -3764?\nAnswer: -3764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -326. Let b be ((-1)\/4)\/((-9)\/v). What is the nearest to b in 0, 3, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460540783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -22.1\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/385)\/((-74)\/(-1295)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -740951 + -0.00055387.\nAnswer: -740951.00055387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose n*v + 12 = 2*v. Let c = -8 - v. Is 4 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 106 + (-4 - -1) - (111 + 16).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1058 and 230?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 - 301*o**2 + 151*o - 31. Is q(86) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 18 = -5*w. Let x = 50 - 46. What is the tens digit of (1404\/90)\/(x\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-7)\/(-14). What is the highest common divisor of h and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88 - (-125 + 90)) + -40\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 34 - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -194 (base 13) to base 8\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from vwjwjwvowywwjcwcw.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 2*i + 3*x - 10, -4*x - 10 = -2*i. Let y(h) = h**3 - 6*h**2 + 6*h + 6. What are the prime factors of y(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 - 289*s - 2716. Calculate w(-9).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3134062 is divided by 224.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 - 41*r - 932. What is w(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21311 (base 4) to base 5.\nAnswer: -10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 581644 and 0.07?\nAnswer: 40715.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1979798000 + -1979798011.99999969. Let q = -12 - j. What is q rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*p - 27, 21 = -2*i - 2*i + p. What are the prime factors of ((-8)\/(-3))\/(i\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:59 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-7)\/(21\/162). What is the first derivative of -4*w**2 + 4*w**2 + f - 63 - 6*w**3 wrt w?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419485277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10073, -11077, -12139, -13289, -14557, -15973?\n\"Answer: -5*d**3 + d**2 - 972*d - 9097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/(-69))\/(1\/((-2)\/6))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -194638489 rounded to the nearest one million?\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11324 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c + 410. Let m(z) = 54 + 11 + 34 - 203 + 22 - 5*z. Let n(v) = -14*m(v) - 3*r(v). Let s(a) = -2*a**2. Calculate s(n(t)).\nAnswer: -8*t**2 - 656*t - 13448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/24 + f**3\/6 - 2*f**2. Let b be 3\/2*(-14)\/(-3). What is the units digit of t(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, l: 17}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 16 + (-4 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in -0.3, 6, 0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/(v*v*v\/(v\/(((v*v**1)\/v)\/v))*v))**(1\/8) assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 1595*p + 736000.\nAnswer: -5*(p - 575)*(p + 256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/50 and 73\/36892840.\nAnswer: 184464200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25e - -4467?\nAnswer: 46c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 10) to base 3\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153780 is divided by 3576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -302713671+-0.55\nAnswer: -302713671.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) - 2*sqrt(225)*-2)\/(1*(sqrt(5) + -1*sqrt(405))) + 1 + 0.\nAnswer: -15*sqrt(5)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6605063 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 4*n = -o - 23, 0 = -4*o + n - 0*n - 7. Which is the nearest to -0.4? (a) 3\/2 (b) 4\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*a + 37, b - 9 = -0*b - 2*a. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - s = 78. Let f(i) = i**3 + 9*i**2 + 7*i + 3. What is the smallest common multiple of f(-8) and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -2*f**5\/15 + f**2. Let h(z) = -4*z + 2. Let s(j) = -3*j + 2. Let l(u) = h(u) - s(u). Give l(m(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -600*q**5 + 1032*q**2 - 16*q + 8. Let j(p) = p**5 - 2*p**2 + 2*p - 1. Let m(t) = -8*j(t) - r(t). Find the third derivative of m(n) wrt n.\nAnswer: 35520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-9)*z**(-2\/7))\/(z\/(z\/((z**(1\/2)*z*z)\/z)*z))**35 assuming z is positive.\nAnswer: z**(-361\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let u(y) = -1039*y**2. Calculate s(u(c)).\nAnswer: -2078*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 + 151*t + 456. Let n be g(-3). Solve -n = -0*z - 14*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/249*6\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -111327 and -111329 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 170991773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -569.39432.\nAnswer: 556.39432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 3, r: 3, a: 1, c: 3, i: 2}. What is prob of sequence pa?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8678661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 21.99094.\nAnswer: -2.199094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Solve 4*m - s*m - 2*u = 8, -5*u - 14 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212.855 + -203.6. Let n = b - 0.255. What is the second smallest value in -0.13, 3, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 3 - (-11 + 20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 - 2*v**2 - 6*v - 3*v**2. Is a(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*q - 14, 13 = 2*m - 2*q + 5*q. Suppose 0 = -x - 2, -5*f + 21 = -0*f + m*x. Solve 2*h - 15 = l, -40 = -4*h + h + f*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160757083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3948 by -208.\nAnswer: 987\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + 3*sqrt(5040))\/(sqrt(605) - (sqrt(605) - (sqrt(605) - (-4*sqrt(605) - sqrt(605))))).\nAnswer: 37*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/212 and 19\/14.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + 6 + (-5 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10323, 22432, 34541, 46650, 58759, 70868?\n\"Answer: 12109*r - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let y(t) be the third derivative of -41\/24*t**4 + 0*t**3 + 0 + 0*t - 25*t**2. What is n(y(d))?\nAnswer: 41*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 - 6*z**2 + z**2.\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 83*z**2 + 151*z + 885. Calculate t(81).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v**3 - 3*v**2 + 3*v**2 + (-3 - 2 + 4)*(-29*v**3 - 556*v**2 + 556*v**2).\nAnswer: 28*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 5*q. Let w be g(5). Solve w = -4*f + 3*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 - m. Let n be v(1). Suppose -n*f = -9*f. Suppose 4*z - 5*z + 4*u + 8 = f, 0 = z + 5*u + 1. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117480093, 117480100, 117480109, 117480120, 117480133, 117480148?\n\"Answer: r**2 + 4*r + 117480088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 3*(-3)\/9 - -4. Let q be (-4)\/(8\/(-2) - -2). Suppose -u - q*u = 0. Solve -10 = n*d - u*z + 5*z, -2*d - z = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69337014 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 2)*(0 + 0 + 2) - 100 + 38 - 99)*(3*i - 5*i - i) to the form h*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 105358 - -b?\nAnswer: 105366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 132*a**2. Let d(r) be the third derivative of -r**5\/20 + 91*r**2 + r. What is q(d(b))?\nAnswer: 1188*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -347*k**2 - 9*k + 40. Let g(i) = -116*i**2 - 3*i + 13. Let r(m) = -14*g(m) + 4*h(m). Let t be r(-9). Round t to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 7 - 1 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 + 4128*r - 4128. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1418856998 divided by 5629.\nAnswer: -252062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*r + 14176 + 28944 = 429*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 11 = c + 11. Sort c, -56, -2.\nAnswer: -56, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -1806\/103?\nAnswer: -1806\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-26)*2\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:16 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12014880 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*y**6 - 5*g*y**5 - 5*g*y**3 + 9*g*y**2 + 301*g*y wrt y.\nAnswer: 360*g*y**3 - 300*g*y**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. Let o = 0.01 + -4.01. Let k = -0.4 + 0.8. Which is the nearest to -1\/2? (a) o (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -24, -2, -3, -16 in decreasing order.\nAnswer: 39, -2, -3, -16, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b\/b**(-1\/14))*b*b)\/(b\/(b*(((b\/b**(-8))\/b)\/b)\/b*b)))\/(b**(-7)*b**(1\/3)\/b*b) assuming b is positive.\nAnswer: b**(697\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 112220221 (base 3) to base 13\nAnswer: 4c4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154.99899 - -155. What is k rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141.188+-30\nAnswer: 111.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2. Let i(r) = 405*r**2 + 4. Let v(h) = 2835*h**2 + 30. Let q(n) = -15*i(n) + 2*v(n). Calculate q(f(l)).\nAnswer: -1620*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -2\/3*t**3 + 0 + 17\/20*t**5 - 17\/2*t**2 + 0*t**4 + 129*t. Let f(r) = -8*r**3 + 2*r + 8. What is -13*f(q) - 6*s(q)?\nAnswer: 2*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2 + 137*w - 34. Determine q(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 288582920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 87 = 2*i - 3*i, 137 = 5*j - i. Suppose -5*u = -3*p - 134 + j, -3*u = 2*p - 75. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 2 + 4 + 0*o. Suppose -r + 180 = 3*r. Suppose 5*u = -4*s, -2*s + 5*u + r = 3*s. What is d(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -343 + 524. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 3*u**2 + 2*u**2)*(-11022*u**3 + 2406*u**3 - 1599*u**3 - 6692*u**3).\nAnswer: 16907*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*0 - 8. Suppose 0 = -3*y - 43 - 65. Let g = w - y. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (4 + -7) - 22) + 18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 6. Let o = -4269 - -4264. Let p = -0.024 + 0.424. Which is the nearest to o? (a) -4 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(((k*k**(-8))\/k)\/k)\/k)*k*k*k**(-3))\/(k**(-1\/4)*(k*k**(-2))\/k) assuming k is positive.\nAnswer: k**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -174, -260, -342?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.5 (c) 0.03 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(5*g - 5*g + g)*(-29*g + 105*g - 47*g)*(-3 - 5 + 4) to the form m + n*g + a*g**2 and give a.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3)\/45*3 + (-49518)\/51090?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o. Let r(v) = -161*v - 4. Let z(j) = 19965*j + 495. Let a(w) = -495*r(w) - 4*z(w). Give a(i(f)).\nAnswer: 1320*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2144 + 0.9144. What is the fourth smallest value in 0, 1, w, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 16*q = 40 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 0.04, -1, -10, -1\/6 in descending order.\nAnswer: 1\/12, 0.04, -1\/6, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-215365*x + 107594*x + 97502*x)*(2 + 1 - 1 - 1 + 3 - 1 + (2 - 1 - 2)*(1 + 1 - 3) + 2 + 3 - 7 - 1 + 1 + 2) in the form r + i*x and give i.\nAnswer: -41076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (sqrt(325)*4)**2).\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/12)*f*f\/f**2)\/(f\/f**(-3\/8)*f**(3\/7)))\/(f**(-1\/20)*f**0)**(-3\/11) assuming f is positive.\nAnswer: f**(-16021\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u - 3*v + 14 = 0, 5*u + 2*v = 21. Let o(s) = s**2 - 4*s + 4. Calculate the remainder when o(5) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 915 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15134?\nAnswer: 2, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.73, 0, -122454, 0.2.\nAnswer: -122454, -6.73, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((65\/2)\/(-1))\/((-1)\/(-2)). Find the common denominator of ((-3)\/(-75))\/(52\/j) and 121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3212214 - 1250?\nAnswer: -3213504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8715 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 35.689?\nAnswer: -142.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 (base 5) in base 4?\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -371 less than -372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5391685 and 5668?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose -i = -d*i + 12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (910\/(-20))\/13*4\/(-98).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3367\/89 or 181?\nAnswer: 3367\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1204)\/98 - (-4)\/14. Let i = 75 + k. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -246 less than or equal to -19\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 41. Solve 0 = -f - 5 - z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505972369?\nAnswer: 7, 61, 1184947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.81 + 6.81. What is the nearest to -2\/15 in -3, t, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 1:49 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 3*k. Suppose 4*l - 2*y - 698 = k, y - 355 = 3*l - 5*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 = -5*d, 24 = -5*d - m - 11. Let h(z) = z**3 + 15*z**2 + 6*z - 30. Let p be h(d). Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -5*l - 2. Solve -l*o + 4*o = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9594901489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*x**4 - 74501*x**3 + 33*x**2 + 249794001 with respect to x.\nAnswer: 24*x**3 - 223503*x**2 + 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 1 + 1)*(-4 - 2*w + 4 - w - w + w + (-3*w + w + w)*(0 - 1 - 1) + 3*w - 2*w + w + (-3 - 1 + 5)*(w + 2*w + 2*w)) - 2*w**2 + 3*w**2 - 4*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - f = -2*f + 15, 0 = -5*f - 10. Let d = 23 + u. Suppose 15 = 3*r + 3*k - d, 21 = 3*r - 2*k. What is the least common multiple of r and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -124. What is the remainder when 197 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-6))\/(4840\/(-704)))\/(4\/18)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*u - 1074, -5*g - u = 3*u - 1794. Suppose 3*n - 3*h = h + g, 242 = 2*n - 2*h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463187203?\nAnswer: 463187203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z + 10673 = 117. Solve z = -197*q + 223*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5178 + 5294. Is 91 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5))**(-14)\/(v**9\/v**(-6\/13)) assuming v is positive.\nAnswer: v**(-433\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -2870650 and -15.3659411.\nAnswer: -2870665.3659411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808826 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10*((-98)\/(-4) + 1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 641, 651, 669, 695, 729?\n\"Answer: 4*l**2 - 2*l + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5562 and -0.16.\nAnswer: -889.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 7 + 2*u + 6.\nAnswer: 2*u - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 356. Let j(w) = -w + 179. Let t(g) = 3*d(g) - 5*j(g). Differentiate t(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4259 - 2892 - 1230)*(4*v - 2*v + 0*v).\nAnswer: -16762*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*r + 3*z - 4, 12 = -r - 4*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 18*r = 75*r - 1394 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 6*n + 8. Calculate the remainder when 7 is divided by b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 10) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**3 + 186*q**2 + 101500*q + 242862966 wrt q?\nAnswer: -3*q**2 + 372*q + 101500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*13\/(-1820))\/(-5 - (-162)\/30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*p**3 - 12*p + 11*p + p.\nAnswer: 338*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -49531 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vemjs. Give prob of sequence mes.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76))**2 + -1 + -1 - ((-5*(-1 + sqrt(2736) + sqrt(2736)) + sqrt(2736))*4)**2.\nAnswer: -3546178 + 17272*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 9*w**2 - 11*w - 1. Let l be t(10). Let d be (-320)\/(-176) + (-2)\/l. Let m be 3\/4*d\/3. Which is the smallest value? (a) 1\/3 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 58. Let w = -147\/2 - v. Which is the closest to -3? (a) 4\/9 (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 1848 = 12*g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 165. Calculate the greatest common factor of q and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d*p**4 + 10*d*p**2*x + 42*d*x + 2*p**4*x + 12*p**4 wrt p?\nAnswer: 264*d*p + 48*p*x + 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1449*h + 5222. Is 74 a factor of r(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6885222 is divided by 7833.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1030192, -2060384, -3090576, -4120768, -5150960?\nAnswer: -6181152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4*w + 25*o**4 - o**3*w - o**2*w - 16*o**2 - 2*o*w wrt o?\nAnswer: 24*o*w + 600*o - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3)\/6*0. Solve 5*w - 15 = -o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12146\/91 + 5\/182. Let s = -134 + j. Which is the smallest value? (a) s (b) 2 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.16053 + -0.16053. What is the fourth biggest value in 0.5, 0, y, 335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.095 and -17.8985.\nAnswer: 1.7003575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((3 - -25) + -51)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 4 - 4 + (-1 + 2*j**3 + 1)*(7*j + 7 - 7) as m + k*j**2 + o*j**3 + i*j + u*j**4 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7026, 3, -3\/4, -236 in ascending order.\nAnswer: -7026, -236, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 5*v. Suppose -4*i = 3*u - 33 - 16, 32 = v*i + 4*u. Solve 5*s + 18 = -4*w, 0 = -5*w - i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/8 of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -a + 117. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/2)*o*o\/(o*o\/(o**(2\/11)\/o*o))*o\/(o\/o**(2\/11))*o*o**(3\/7)*(o**(-7)*o**(2\/17)\/o)**(-14) assuming o is positive.\nAnswer: o**(297523\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-70))\/(12\/25)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3328, -16703, -53000, -123679, -240200, -414023, -656608, -979415?\nAnswer: -1393904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 2*l + 2*l)*(l + 4*l - 3*l) + 3*l**2 - 35 + 35 + 0*l**2 - l**2 + 2*l**2 to g*l**2 + y*l + k and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 2. Determine f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4398 - 21806\/5. Let o = m - 1129\/30. Put -4, -1, o in descending order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.3280704 rounded to 1 decimal place?\nAnswer: 711.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 (base 9) in base 11?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 251\/84 - 0\/(-2). Let h = w + -29\/12. Suppose -6 + 9 = 3*b. Is h bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - -6) - (0 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*j = 2*j - 1690, u = 3*j + 354. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/5)*j*j*j**(-2\/5)*(j**2)**(-5))**1 assuming j is positive.\nAnswer: j**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**8*b)\/b**2*b*b**(-2)*b\/(b\/(b**(3\/8)*b)))**5 assuming b is positive.\nAnswer: b**(375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 16*h**2 - 26*h - 26. Let a be r(14). Find u, given that -16 - 12*u**2 - 1351*u - a*u**3 - 1362*u + 2689*u = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**6\/6 + 3*l**2\/2 + 6*l - 5. Let f(o) be the first derivative of k(o). Differentiate f(s) with respect to s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + 39\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30938712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-2*u - 6*u + 71*u) + (2 - 2 - 2*u)*(-5 + 5 - 2) to the form i*u + t and give i.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2419 and 1220646.\nAnswer: 1220646.2419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 45, 90, 151, 228?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - -114044?\nAnswer: 114074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4902\/(-158) + 2004\/79158\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 5*h - 86, -5*z + 1362 - 1442 = 5*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + -68 + 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 plus 641493384500?\nAnswer: 641493384392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1146*n + 64 = 1092*n + 1198 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -97. Calculate the lowest common multiple of 3 and b*(12 - 15 - (-18)\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*d - 556*d + 75696 = -420*d + 224*d for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 10*z - 126 = 0. Solve 5 = -z*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.44798 or 2\/21?\nAnswer: -0.44798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4906133, 4906137, 4906143, 4906151, 4906161, 4906173, 4906187?\n\"Answer: y**2 + y + 4906131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:30 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 29*x + 3*x**2 + 26*x - 57*x. Let w(f) = -10*f**2 + 8*f. Let m(c) = c. Let v(p) = -3*m(p) + w(p). Let d(l) = 7*h(l) + 2*v(l). Factor d(j).\nAnswer: j*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268436, -536871, -805316, -1073777, -1342260, -1610771?\nAnswer: -1879316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 3 + -5 + sqrt(180)).\nAnswer: -24*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 + 22 = 0. Suppose 0 = -b + 4*b + w. What is the units digit of b\/(-8) + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*k - k + 409, b + k - 83 = 0. Let u(p) = -p**3 - 24*p**2 + 49*p - 68. Let l be u(-26). What is the greatest common factor of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 502*c**3 - 6*c - 61*c**3 + 3 - c.\nAnswer: 441*c**3 - 7*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 7, 23, 45, 73, 107, 147?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5, 0.316839?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -75, 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/2281 or 1?\nAnswer: 8\/2281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 6\/5 (c) 79.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 19*z**4\/24 + z**3 + 2*z**2. Let y be n(6). Suppose 0*o - y = -5*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2944 and 12?\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1676*k**3 - 168800 + 168800)*(0*k - 2*k + 0*k).\nAnswer: 3352*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = y + 48, 5*y = -x - 163. Let m = 39 + y. Let c = 2 - 2. Solve c = -4*u + 9 + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*q + 163. Suppose -25 = -6*k + 5*k - 2*a, 3 = 3*a. Calculate the remainder when q is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2\/45*l**5 + 1\/9*l**4 - 4\/27*l**3 - 2 - 1\/9*l**2 + 2\/9*l - 1\/27*l**6. Factor c(u).\nAnswer: -2*(u - 1)**3*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*n - 18559 + 7034 = -310*n. What is l in -20 - 10*l**2 + n*l + 5\/4*l**3 = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/5 + 322265816*z\/5 - 64453164.\nAnswer: 4*(z - 1)*(z + 80566455)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87906679.\nAnswer: 7, 467, 26891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1 (c) 2\/43 (d) 66 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3948477, 15793417, 35534983, 63173175, 98707993?\nAnswer: 142139437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2272 times -17.7\nAnswer: -40214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 4755*f**2 - 33000*f - 37760.\nAnswer: -5*(f - 944)*(f - 8)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g - 2. Let l(u) = 5912 - 2*u - 2958 - 2954 - 11*u. Give l(k(j)).\nAnswer: -143*j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36589464 to the power of 1\/2, to the nearest integer?\nAnswer: 6049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-14)*(8\/5 - 1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/(163\/1630). Solve -16*z = l + 42 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -201, 8, 1, -4, -10, -1.\nAnswer: -201, -10, -4, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/114048 and 11\/216.\nAnswer: 114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1 + 2 + 1). Suppose -h*z + z + 5 = 0. Let p be 2*2\/(-4)*z. Which is greater: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63455 - -42?\nAnswer: 63517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28965412, -28965404, -28965382, -28965340, -28965272, -28965172, -28965034?\nAnswer: -28964852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.771+-18.72\nAnswer: -17.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 0, 13.\nAnswer: -18, -2, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/22, 12198\/11, -2.09?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 307 + 45. List the prime factors of ((-2)\/(-4))\/(8\/f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - k = -8*l - 24, 4*k = -l + 12. Let j be -83*(8\/l)\/2*1. Let i = 86 - j. Solve -i*h - 4 - 3 = 2*w, -3*w + 3*h = 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 5*a - 59213*a**2 - 3*a - 5*a + 59239*a**2 + 6*a.\nAnswer: 26*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/((sqrt(10) - (sqrt(10) + sqrt(20)\/sqrt(2))) + sqrt(10) + sqrt(10)) + sqrt(1053) + 2.\nAnswer: 2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*j + 191*j + 180*j - j + 2 - 112*j in the form m + l*j and give l.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.437039263 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-7 + -1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 21*m + 20. Let o be z(-20). Suppose -20*i + 34*i - 574 = o. Which is bigger: 43 or i?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**2. Let d(h) = -3*h**2 + 2. Let i(y) = -y**2 + 1. Let v(b) = d(b) - 2*i(b). Give s(v(f)).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Find the third derivative of -3*n**6 - 2*n**2 + 2*n**6 - y*n**2 + 6*n**2 wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 36. Suppose 0 = 4*c - c + 36. Let d be y(c). Solve 3*g + 3*z + d + 24 = 0, 0 = -3*z - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594*q + s + 71419 = 599*q, -57116 = -4*q + 4*s. List the prime factors of q.\nAnswer: 5, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -g - 3*f - 14, 0 = -f - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 2 p when four letters picked without replacement from {g: 1, e: 1, q: 2, m: 2, p: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 10 + 3)\/(1\/1). Let z(k) = -k + 17. What is z(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/10)\/(9\/(-18)). Solve -j - 2*w = -6, 5*j - p*j - 4*w + 20 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/15973 equal to 3.486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 2680 - 8015 - 19*m + 27*m + 2673 + 2662.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237923 + 442436. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) - -3*sqrt(1300)) + 3 + -3 + sqrt(1300)*1)*-1 + 5)**2*5.\nAnswer: -2500*sqrt(13) + 162625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o. Let k be -4*(-12)\/8*1. Suppose 0 = 5*l - 4*a + 20, -5*l + 4*a - k*a = -10. Suppose -2*z + 9 - 11 = l. Calculate g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/27730 and -25\/795381.\nAnswer: 469274790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(2*v**2 + 3*v**2 - 3*v**2) + (-7 + 10*v + 7)*(43*v - 38*v + 58*v).\nAnswer: 632*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610496 by -4.\nAnswer: 152624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 45 (c) 3 (d) -311\/6 (e) -5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 23. Let q(d) = 14*d**2 - 8*d + 2. Let b be q(2). Suppose 0 = -5*w + 15, 6*o + 4*w = 9*o - b. Calculate the smallest common multiple of p and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 680, 87, -570, -1291?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*t + 126*t - 360 = 0. Calculate the highest common factor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157276 by 6.\nAnswer: 78638\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*t = -17, -2 = 4*i + 5*t + 5. Let p be i - -11 - 7*3. Let r = p + 43. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1895, -3792, -5689, -7586?\nAnswer: -9483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 17 + -10 + 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 94, -1, 2, -3.\nAnswer: -3, -1, 2, 31, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5532 and 603860212?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*c + 4*c + 48*c)*(0*c - 2*c + c).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 47.7?\nAnswer: 28.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4200\/(-36) - 1\/3. Is 3 - (57122\/w - 4\/(-18)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**2 + 199*d**2 + 228*d**2 - 40*d**2.\nAnswer: 364*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/1290*(11875\/(-250) - -55)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 15. Suppose -x = -3*r - r. Suppose 5 = 2*i + 1, 2*z - r*i - 200 = 0. What are the prime factors of z?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -487, -3496, -11663, -27568, -53791, -92912, -147511?\n\"Answer: -430*q**3 + q**2 - 2*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576790380 by 4010.\nAnswer: 143838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851 = -36*r - 51*r - 68 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -117\/2. Which is the nearest to t? (a) -2 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -18 + 3 - (-11 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0852269 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**3 + f**3 - 2*f**3)*(462*f - 99 - 230*f - 231*f) as d*f + p*f**4 + k + u*f**2 + b*f**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2 - 8. Suppose -l*v + 19 = v - 2*d, 2 = 4*v + 2*d. Suppose -4*x + 6 = -v*x. Solve -z - x = -1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - d + (3*d - d - 4*d)*(-2 + 2 + 2) - 20*d + 2*d + 6*d to s*d + n and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + -2)**2 + -1.\nAnswer: -72*sqrt(3) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y)*(-4 + 5 + 0) + 0 + 0 - y + 53616 - 31*y - 53570 + 37*y.\nAnswer: 7*y + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 6, -5\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31169571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22811*u + 22884*u - 46713*u to k*u + d and give k.\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/b)\/b*b)**(2\/73))**10\/((b\/(b*b*b\/b**(-2))*b)**(-18))**(-4\/3) assuming b is positive.\nAnswer: b**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -103.4028 * 0.08\nAnswer: -8.272224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g**2 + 2*g - 1. Suppose -4*f - t + 5 + 1 = 0, 4*t + 6 = -f. Let n be u(f). Is (-1 + 4 + -2)*n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:00 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 338779903 a multiple of 3678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2 + 1) - 5. Let h(v) = v**2 + 6*v + 1. Let d be h(t). Let r be 897\/195 + (-3)\/5. Solve r*c - 3 - d = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16970795 and 579335.\nAnswer: 5315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -2. Suppose -2*a + 6 = -d, -5*d + 2*a - 16 = h*a. Let i = d + 26. What is the lowest common multiple of i and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {h: 4, u: 2, g: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x - 26*x + 246 = -533 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -56. Suppose -3*r - x = p, -3*p = -r - 6 - 14. Is r\/(-21)*690\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38400687089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*m - 0*b + 3*b, 0 = -4*m + 2*b - 46. Sort 3, -5, m.\nAnswer: m, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1995\/63 - 31)*((-3915)\/(-288))\/29.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 9. What is the tens digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 2*j + 104*j**3 + 175*j**2 - 100*j**3.\nAnswer: 4*j**3 + 175*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/(32\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 3*b**2 - 7*b + 4. Let j be z(7). Let p = j - 55. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -358988 and -2732189681?\nAnswer: 2731830693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*m + 2*u, 0 = m + 2*u - 3 + 1. Suppose m*y - 175 = -y. Solve -3*g - 3*l + 8*l = y, -l + 4 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24))\/((-15)\/(-40)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:52 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:57 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**3 - 2*m**2 + m + 1. Determine a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/182 and -97\/1066.\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 43*n = -132. Solve 6*j - 12 + n = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1171152*m*v**2 + m*v - 23*m + 589*v + 2 wrt v.\nAnswer: 2342304*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + t**2 - 2*t + 14. Let s be l(0). Suppose -43*p = -s*p + 3909200. What is p rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 122 = v, 34*c - 100*v - 684 = -102*v for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 4843735958.88 and -5.\nAnswer: 4843735953.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**3 - 3*q**2 + 5*q + 2. Suppose 3*k + 17 = -5*f + 59, k = 4. Let i(m) = 13*m**3 + 5*m**2 - 9*m - 4. Let n(v) = f*i(v) + 11*b(v). Calculate n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e1bbb (base 15) to base 14\nAnswer: 57c9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/11, 5\/2, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 3, k: 2, p: 13}. Give prob of sequence pc.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*c**2 + 289*c**2 + 6*c**3)*(-3*c - 2*c + c - 5*c).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115 minus -13.5?\nAnswer: 13.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7511 or -52586\/7?\nAnswer: -52586\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (1 - ((10 - (10 - 2)) + -6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*b - 5 = -4*b, 5*b = 3*r + 11. Let c = r - -2. Suppose 70 = 2*n - f, c*n - 67 = 5*f + 108. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d**2 + 183*d**2 - 29*d**2 - 35*d**2 - 76*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, 1 t, and 1 x when four letters picked without replacement from {e: 1, b: 1, f: 2, x: 1, t: 2, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/18*((-3)\/(-2) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r + 7573. Let j = 85204\/11 + r. Let f = 173 - j. Which is the nearest to -2? (a) f (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(78)*-1)\/sqrt(6) - sqrt(13)).\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -33, 37, 2, -5, 3 in increasing order.\nAnswer: -33, -5, 1, 2, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 5*n - n)*(-7*n**2 + 7*n**2 - 6*n**4).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/15 + (-9953164)\/(-156)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-16)*-4*4\/(-24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4.4. Let j = 2\/87 - -143\/87. What is the nearest to 1\/4 in s, 3, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99459, 398727, 897517, 1595835, 2493687, 3591079, 4888017, 6384507?\nAnswer: 8080555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 7. Let i be l(-8). Suppose 4*f = 3*f - i. Is (f - 0) + 11 + -1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1172)\/276 + 50\/(-30) - -6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - k**2 - 6*k**2 + 1 + 2*k**2 + 6*k**4 - 9*k**4 to the form h*k**4 + u*k**2 + b*k**3 + y*k + g and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8899, -17824, -26749, -35674?\nAnswer: -44599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - 3*o**4 - 4*o**4)*(0*o - o - o) + 3*o**5 - 2*o**5 + 7*o**5 + (0*o**2 - 3*o**2 + o**2)*(32*o - 32*o + 3*o**3).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6998 - -6978) + (-1 - 4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*w - 21. Let a(i) be the second derivative of -i**4\/12 - 3*i**3\/2 - 7*i**2\/2 + i. Let q be a(w). Is -3 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2299185 and 2268?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 - 2*m**2 - 6*m**2 + 16*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + i - 96 = 5*i, -4*s + 128 = -4*i. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/14022 and -43\/72657.\nAnswer: 113199606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 0*p)*(3*p**4 - 5*p**4 - 4*p**4) - 2*p**5 + 3*p**5 - 2*p**5 - 296393*p**2 + p**5 + 4*p**4 + 296392*p**2 - 77 - 2*p**5.\nAnswer: -8*p**5 + 4*p**4 - p**2 - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.04 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 divided by -5?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2077 - -2200. What is the smallest common multiple of 205 and m?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 1, i: 1, n: 6, g: 2}. Give prob of sequence vq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3684, 1\/4, 2\/9, 0.104, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 11:27 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, 13 in ascending order.\nAnswer: 0, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.86 + 0.14. Let h = 0.07441941 - -45.92531059. Let s = h - r. Round s to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 787*y - 392*y - 2*y**2 - 393*y - 4*y**2 + 1. Let i(v) = v**3 + 12*v**2 - 5*v - 3. Give -5*f(g) - 2*i(g).\nAnswer: -2*g**3 + 6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 87 = -4*i. Let q = 45 + i. Suppose q*d - 17 = -13. Solve 0 = 3*z + 8 - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 2*c + 3*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-1\/7)*q)*q**(-5)\/q assuming q is positive.\nAnswer: q**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3637*h**3 + 379*h**2 - 3*h wrt h.\nAnswer: 21822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/84 - 1\/28. Let p = 0 + 0. Suppose -4*m + 2 = 5*r, 4*r - 3*m + 28 = 11. What is the nearest to o in 0.3, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 9\/((-9)\/(-4)). Suppose -q = -5*q - c. Let z = -132 - -785\/6. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-12)*28\/3. Suppose -g - g = -j. Let m(d) = d**3 - 7*d**2 + d - 9. Let i be m(g). Which is the nearest to 1? (a) -1 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4168 = -0*c. Let j = -1211\/25 + -204981\/100. Let i = c + j. Find the common denominator of -67\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101031 + -1?\nAnswer: -101032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 4*g - 7. Let r be b(3). Suppose -5*w + 21 = -i, 13*i = 3*w + r*i - 19. Calculate the greatest common factor of 145 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2302973132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - b**4 + 2*b**4 + (2*b**2 - 2*b + 2*b)*(-2*b**2 - b + b + (-3*b + 5*b - 4*b)*(0*b + b - 4*b)) to w*b + k + o*b**3 + a*b**4 + m*b**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55898*y**3 + 98*y**2 - 4385954*y + 1 wrt y?\nAnswer: -335388*y + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648 a factor of 2530345103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from qwqnqwqwnw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**7\/42 - c**6\/6 - 7*c**5\/20 - c**4\/4 - 17*c. Factor i(t).\nAnswer: -t**2*(t + 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + 0.33. Let j = -0.0328 - 216.9672. Let s = -217.2 - j. Is n at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 2*x - 83.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -97*z**2 - 8*z + 7. Let b be t(2). Let h = -38 - b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117993 and -22.\nAnswer: -2595846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 450, 451, 452?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c + 3*y - 282, 4*y + 8 = 0. Suppose -c = -16*a + 12*a. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -326, -340, -354, -368, -382?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 8*g**2 + 5. Let w be 2*(-2 + (-2 - 0)). Let y be x(w). Suppose 4*q - 5*r - 762 = q, -y*q + 2*r = -1289. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 5 - 9 = 4*v + 31 + 13, -5*v - 5*m - 50 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49495, -49474, -49451, -49426?\n\"Answer: y**2 + 18*y - 49514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2001 - -1616?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - b = -4*b - 260, -2*y + 2*b = -132. Suppose 0 - y = -2*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*d = -2*k - 22, k = -2*d + 13. Solve -11*n + k + 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1898*o**3 + 6*o**2 + 256*o - 80. Let m be j(36). Round m to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwzwwwzzww. What is prob of picking 1 w and 3 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1891 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -58*q + 1489. Calculate l(26).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122968*q - 252*q**2 - 122968*q)*(3 - 3 + 4).\nAnswer: -1008*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 12. Let v = 21 + i. Suppose -4*a + v - 33 = 0. Solve -m - a = -3, -m = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.745196cm to meters.\nAnswer: 0.03745196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/1)\/((-11)\/((-242)\/(-264)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 16) to base 3\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/25 - 79\/100. Let y be (-6)\/10 + 10\/25. Which is the biggest value? (a) y (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*n = n - 4, 0 = -4*w - 3*n - 23. Let r(y) = y**3 + 7*y**2 - 8*y + 4. What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 913*z + 42380. Determine h(-47).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*j - 26 = 0, -3*i - 27*j + 42 = -23*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*w + 39 - 39 to m + n*w and give n.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1249078076 divided by 3.\nAnswer: -1249078076\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.99538, 1.62, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 6, e: 7}. What is prob of picking 1 l and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 96, 110, 106, 78, 20?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3259, 6179, 9093, 11995, 14879, 17739?\nAnswer: 20569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3. Let k(v) = 3*v + 9. Let p(q) = -4*q - 10. Let m(s) = 3*k(s) + 2*p(s). Let b = -17 + 22. Let a(f) = b*w(f) + 2*m(f). Give a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + -93. Does 40 divide 15846\/n - (-4)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -23.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36350 is divided by 35553.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 5098a02?\nAnswer: 50989c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8997 (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(-3 - (-845)\/286)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-128)\/(-252) + 12\/(-42). Let n = -7 - -7.2. What is the second smallest value in 5\/2, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 58*t + 3. Let y(w) = 8330*w - 3. What is y(z(f))?\nAnswer: 483140*f + 24987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 68 + 22. Suppose -2*o = -2*r + s, 3*r - 33 = r + 5*o. Solve -2*u = r*n - 6, 2*n = 2*u + 4*n - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 31 = -d. Let y = 82 - d. Solve -m = m + y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9519689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 120 - 35. Suppose -t = 3*v - c, -8*t + 4*t - 3*v = -41. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76, 56, 36, 16?\n\"Answer: -20*j + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 10. Determine f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 4)*(16 + 0 + 14)*(1 - 2*t - 1).\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*z + 17 - 50, k - 5*z = 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5721607 to the nearest integer?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*i**3 - 2*g**2*i + 256*i**4 - 20*i wrt i?\nAnswer: 6*g**2*i + 3072*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 78 = -0*f. Suppose 3*y = 2*x + 6*y + 30, f = -2*x - 4*y. What are the prime factors of x*28\/(-12) - 3?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12408?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4 + 8. Suppose -n - i*d + 58 = -4*d, n - d = 56. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/42 + 8\/70. What is the nearest to x in 2\/3, 2, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829640?\nAnswer: 2, 3, 5, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 50 = -5*v, -v = -2*f + 3*f. Suppose -50 - 28 = 13*n. Let w = n + 11. Solve 25 = 5*u + 5*k, -w*u + 2*u - 25 = -v*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104625 greater than 3104625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-54))\/((-2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(112)*4 + 5).\nAnswer: -48*sqrt(7) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60739 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 51.05. What is f rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 - 553 = -10*z - 9*z + 24*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 71*o + 96 = 30*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 25, 70, 155, 292, 493, 770, 1135?\n\"Answer: 2*i**3 + 2*i**2 - 3*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -805.399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2 + 11*h - 10. Let y(m) = 15*m**2 - 12*m + 11. Let p(s) = -7*g(s) - 6*y(s). What is p(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*c, 5*i - 4*i = 4*c. Find the first derivative of -5*d**2 - 43 - 13*d**2 + i*d**2 + 95*d**2 wrt d.\nAnswer: 154*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4782\/8*8\/6?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197271 - 120415. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600000 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68317517?\nAnswer: 983, 69499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2146 (b) -0.4 (c) -3.72 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*a + 412, 3*b - 2*b = 4*a + 407. What is the remainder when b is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9843*i**2 + 13599*i**2 - 3759*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8054002 = 2*a + f, -7*a - 14*f + 17*f = 28188994. Round a to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**2 - 13*n + 6. Let b(o) = -o**2 - 2*o + 1. Let f(z) = -6*b(z) + d(z). Let p(m) = 7*m**2 + 2*m. Calculate 4*f(k) + 2*p(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 60. Let n be w(0). Let p = -5 - -5. Suppose 2*l + 2*l - 48 = p. What is the highest common divisor of l and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985745999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.9870254 rounded to 1 dp?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.224 - 0.137. Let z = -0.01 + p. Let f = -0.277 + z. What is the closest to 3 in f, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -18. Let k(i) = -14*i - 8. Let t(v) = 11*v - 2*v + 0*v + 5. What is s*k(h) - 8*t(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 9*t - 13*t + 31*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -10.4. Let g = 2.5 + z. Which is the third smallest value? (a) 4 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + y**2 - 309 + 313 - 19*y.\nAnswer: -10*y**2 - 19*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77170774 and 6366.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734*m - 746*m = -96. Solve m*b - 4 = 6*b + v, -2*v - 8 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k - 532. Let v be d(54). Let g = 280 - v. What is j in -11\/2*j**3 - 15\/2*j**4 - 4 - g*j + 19*j**2 = 0?\nAnswer: -2, -2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283383 is divided by 70844.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 18*d + 122 + 14, 0 = b + d + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 321273427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*z + 11. Suppose -2*t + 2*c = 0, 2*t - 5*c = 17 - 2. Let k = z + t. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -121964\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21454 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/76 and -73\/1900?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -60 - -61 - (-3 - 1 - 0). Suppose -6*a = -7*a - j, -2*o - 4 = 4*a. Solve o - 9 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6352 rounded to 2 dps?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 9*y**2 + 11*y + 12. Let x be p(-10). Let j = 5 - x. What is the third derivative of -s**2 + s**2 + s**2 - j*s**4 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 187582*m. Let t(c) = 343*c. What is u(t(q))?\nAnswer: 64340626*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3640896 divided by -86688?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11726470 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3261997535.\nAnswer: 5, 823, 792709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4608521181.700006 - 4608509065. Let q = 12125.7 - r. Let o = q - 9. Round o to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98728.8384 rounded to the nearest one thousand?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 11*q**5\/25 + 19*q**4\/10 - 8*q**3\/5 + 125. Factor b(t).\nAnswer: t**2*(t + 4)*(11*t - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -25. Let h be ((-10)\/(-5))\/8*0. Suppose d + 3*d + 4*t - 96 = h, 5*d + 3*t - 128 = 0. What is the remainder when d is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 d, and 1 u when four letters picked without replacement from {u: 5, c: 4, d: 10}.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 9*o + 3. Let d(f) = 3*f**2 + 1. Let u be d(-1). Let w be n(u). Suppose -2*g + w = -5*s, 3*s + 17 = g + 4. Solve -13 + 5 = -g*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -274\/13 (b) 11 (c) -0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 7, 3\/7 in descending order.\nAnswer: 9, 7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b - 117. List the prime factors of c(30).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -v - 16, 110 = -3*v - g. Let u = -23 - v. Let a = 19 - u. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -134\/56119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -42. Suppose w = 2*b - c - 4*c - 98, 3*c + 50 = b. Let u = b + -42. Solve u = -0*q + 4*q - 2*r, -5*q - 4*r - 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Calculate the remainder when 53 is divided by i(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-7)))\/(n*n**(-10)*n)*n**17*(n\/(n\/(n*n\/((n*n**2*n*n*n)\/n*n))))\/n assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34421?\nAnswer: 34421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 8)*(-4)\/(-6). Suppose 4*g - 4 = -w*v, g + 2*g - 5*v = -5. Let b(p) = 2*p**2 - 15*p - 7. Let m be b(8). Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4094 and 15587146?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bcc (base 13) in base 11?\nAnswer: -8142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let o(w) = w. Let j(v) = -5*h(v) - 6*o(v). Let k(t) = 4*t**2 - 3. What is k(j(p))?\nAnswer: 4*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus 0.473?\nAnswer: -14.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 5 - 2)*(0*l + 1142 + 2*l + 227 - 689 + 1306) to t*l + u and give u.\nAnswer: 13902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 137559574 greater than or equal to 137559573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 17*w - 3 = 0. Let t(h) = -h**2 + 2*h - 2. Let k be t(2). Let r be 1\/w*9 + k. Solve -2*y + r = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 0*m**3 - 2*m**4 - 2*m**3 + (1 - 1 - 2)*(3*m**4 - m**4 - 3*m**4).\nAnswer: -m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + 6 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12910000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*h**3*y**3 + 84*h**3 - 3*y**3 - 11*y**2 - 40781 wrt h.\nAnswer: 45*h**2*y**3 + 252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 5*u**2 + 220*u**3 + 227*u**3.\nAnswer: 447*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*i**3*p - 2*i**3*w - 2164*i**2*w - 6*i*p*w - 7*i*p + 4*i*w - 2*p*w - 2 wrt p.\nAnswer: 39*i**3 - 6*i*w - 7*i - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2130905 and 67\/345?\nAnswer: 147032445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62719496, 125438998, 188158500, 250878002, 313597504, 376317006?\nAnswer: 439036508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2899, 5699, 8435, 11077, 13595, 15959, 18139?\n\"Answer: -5*n**3 - 2*n**2 + 2841*n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 186 in 0.07, 3, -299\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 486 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 4.98. Let q = -23 - -21.2. Let z = 2 + q. Which is the closest to z? (a) 0 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r - 3*r + 5*r)*(2*r + 4*r**3 - 2*r - 6*r**2) as p*r + a*r**4 + d*r**3 + j*r**2 + w and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4\/24 - j**2\/4 - 2*j + 1. Let h(w) be the first derivative of r(w). Factor h(i).\nAnswer: (i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1041\/(-4164)*324\/5 - 1\/(-5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2007.384 and 17.\nAnswer: -34125.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -105737188\/3 at least as big as -35245728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-1\/25)\/(s**(-2))**41 assuming s is positive.\nAnswer: s**(2049\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87277 - 57269. Is t a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.5 - -12. Which is the third biggest value? (a) -1 (b) -0.2 (c) -1.1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.015, -30\/11, 4 in decreasing order.\nAnswer: 4, 0.015, -2, -30\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + -1.35. What is b rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*h + 8051 = -2409*h + 53 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**3 - 4*f**2 + 4*f - 1. Suppose -5*v = -31 + 16. What is the units digit of q(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 22\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**4 + 72*j**3 + 276*j**2 - 472*j - 672 = 0.\nAnswer: -4, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2887 - 1314 - 1573 + 2*t**2 - 7*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89295179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126383, -126398, -126427, -126470, -126527?\n\"Answer: -7*w**2 + 6*w - 126382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131.9445 - -132. Let a = p + -47.9555. Round a to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 35. Let u = n + 40. Suppose 2*l = 2*t + 1252, -l + 2*t + 306 + 315 = u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-7) - (-1906)\/(-18). Let z = 106 + r. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 32002128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1127eaa (base 15) to base 8.\nAnswer: -56654651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6645 + 2396. What are the prime factors of a?\nAnswer: 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(2\/(-12)). Let c = -2 + k. Let z(q) = -7*q**2 + 4*q. Let u(m) = -m. Let p(f) = 3*u(f) + z(f). Determine p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 488?\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*n + 83 = 0, 3*t + 5*n - 13 - 41 = 0. Suppose -b + t = 19. Solve 4*i - 2*m = 5*i - 5, 2*i + 2*m - b = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 123. Let l(x) = x. Give q(l(g)).\nAnswer: -g + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 28 = -j. Let w(x) = -x**3 - 7*x**2 - 8*x - 5. Does 17 divide w(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**2\/i)*i)\/(i\/i**(-1\/5)))\/(i*i**(3\/7)*i**(-2))*i\/(i**(-1\/8)\/i)*i\/((i**8\/i)\/i)*(i\/(i**8*i))\/(i\/((i\/(i*i**(4\/5)))\/i)) assuming i is positive.\nAnswer: i**(-745\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ed + -5d?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 1 + (-393316)\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5212566 (base 7) to base 4.\nAnswer: 2120221113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-8)*2\/5. Sort -5, 2, f in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5*d + 4 = 0. Suppose 0 = -d*g + 4*g + 12. Let q(s) = -s - 3. Give q(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 17904\nAnswer: 1\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-7 - (-12)\/2). Let d(c) be the third derivative of 3*c**5\/20 + 5*c**4\/24 - 11*c**2. Let l(v) = v**2 + v. Let x(m) = d(m) - 2*l(m). What is x(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*b + 0 + (-5 + 3 + 4)*(-b + 2*b + 0*b))*(-13 + 6 + 8 + (4 + 3 - 6)*(1 - 3 + 0) + 3 + 0 - 5) to s*b + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 0.11505.\nAnswer: -0.41505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9))\/j**(-30) assuming j is positive.\nAnswer: j**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0652 - -0.0448. Which is the third biggest value? (a) -3 (b) -2\/3 (c) 4\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 29, -0.4, 5, 0.07, -12 in descending order.\nAnswer: 29, 5, 0.07, -2\/15, -0.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 100021?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -273 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*m**2 - 2 - 7\/3*m + 1\/3*m**4 + 7\/3*m**3.\nAnswer: (m - 1)*(m + 1)**2*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710522.\nAnswer: 2, 355261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20141*w - 20141*w - 3887*w**2 + w**3.\nAnswer: w**3 - 3887*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4929s in nanoseconds?\nAnswer: 9492900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -1. Let k = -2.8 + 3. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144678, 289369, 434060, 578751?\nAnswer: 723442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 35.14\nAnswer: 3.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 86. Let m be 1 - (-1 - (-1 - -77)). Suppose 4*k - 2*k = -2*s + m, k = -2*s + b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/13 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f + 75. Let i be m(-4). What is the biggest value in -2, i, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 5, q: 5, v: 5}. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/18)\/((25\/4)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (-2*sqrt(408))\/sqrt(12) - -2*sqrt(136)\/sqrt(4))\/(sqrt(18)\/(sqrt(45)\/(1*sqrt(5)))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 58*x**2 + 65*x - 217. Determine z(59).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:03 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/12 + 5\/12. Which is the smallest value? (a) -2 (b) t (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o. Let r(f) = -6*f - 20. Let a be r(-4). What is w(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(11) + 5 - (sqrt(3) - (sqrt(81)\/sqrt(3) + sqrt(3))))**2*-6.\nAnswer: -438 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 722504*k - 32. Suppose w + 3 = 11. Let x be t(w). What is x rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + 0 - (0 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from nfnfnff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(-6*(-3 + sqrt(275)*-5 + sqrt(275)))**2*5.\nAnswer: 129600*sqrt(11) + 4761720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*80\/60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 45*d - 244. Let u(c) = -46*c + 274. Determine -6*u(r) - 7*z(r).\nAnswer: -39*r + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-45) + 86\/(-645))\/(-5). Solve f = u - 2*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(70)*3)\/sqrt(10).\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 17*j - 14. Let n be h(16). Suppose -w + 17 = 2*w - 2*x, 2*w + n*x = 8. Solve 13 = w*g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 59. Suppose m = -3*c + 1248 + 1047. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 4*x - 1. Give d(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(468) + -2).\nAnswer: -6*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 55\/3*o**3 - 1\/2*o**2 - 46 - 18*o. Find the second derivative of h(d) wrt d.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 13*o. Is m(-9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 17*v**2 + v - 13. Let n = 40 + -32. Let k = n + 9. Let c be u(k). Solve -5*q = -3*g - 15, -2*g + c - 14 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-657)\/18 + 34)*((-9)\/7 - -1)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 0 - -14 - (11 + 17)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.2, -0.35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 20814 and -0.19325.\nAnswer: 20813.80675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 15*s**4\/2 - 401*s. Let z(y) = 2*y. Give p(z(h)).\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.2 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.11 (b) 2 (c) 5 (d) -4 (e) -0.1 (f) -209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 9*q - 14)*(-6 + 3 + 1 + (-2 - 2 + 2)*(1 - 3 + 1) - 1 + 0 + 10) as k + x*q and give x.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 25*m + 230. Give y(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(165)\/sqrt(3))*-6*-3)\/(sqrt(35)\/(sqrt(28)\/(2*sqrt(4)))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, -5\/6, -43715\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 2:32 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2412 or 1.754?\nAnswer: 1.754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53566 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -2\/7, -1\/2, -751\/13, -4\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117.9 - -22.9. Let v = -22112761.999745 - -22112667. Let l = v - y. What is l rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -110010 (base 2) to base 7\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2275, -2266, -2255, -2242, -2227, -2210?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:44 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**8\/70560 + q**7\/17640 - q**6\/210 - 67*q**5\/60 + 2*q**2 + 44. Let j(b) be the third derivative of p(b). Factor j(n).\nAnswer: 2*(n - 3)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 540 = 6*o. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33 and -4\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9183*f - 12379 wrt f.\nAnswer: 9183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -72 (c) 0.5 (d) 6859.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 358 - 329. Let l = -175 + 809. Suppose l = 2*h + v, 2*h + 2*v - 271 = 359. Calculate the greatest common factor of h and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00521 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 325, 316, 303, 286, 265?\n\"Answer: -2*m**2 - 3*m + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44211?\nAnswer: 3, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(256))\/(sqrt(2) + (sqrt(8) + sqrt(72))\/sqrt(4) + sqrt(2) + sqrt(2)).\nAnswer: -8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264916607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 g when four letters picked without replacement from {g: 5, b: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 0*j + 16*j**2 - 4*j.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by -38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 292, 17, -476, -1193, -2140, -3323, -4748?\n\"Answer: -f**3 - 103*f**2 + 41*f + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 38.39142cm?\nAnswer: 383.9142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 8*k**2 - 4. Let d be b(-8). Put d, -3, 3 in decreasing order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -4*p, 5*l - 2*p - 2 = 0. Suppose -w + 10 - 8 = l. Suppose -28 = w*t - 3*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1 - 1. Let o(p) = -2*p. Suppose -2*r - 16 = -14. Give r*o(v) + 4*h(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**0)\/m**9)\/(m**(-2))**(-42) assuming m is positive.\nAnswer: m**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-21))\/((4110990\/(-1743))\/26)?\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j*o**2*x + 10653*j*o**2 - 95806*o**2*x + o**2 wrt j?\nAnswer: 3*o**2*x + 10653*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 541427\/5 = 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r*r**1)\/r)*r*r)**(-50)\/(((r**(-1\/12)\/r)\/r)\/((r\/r**6)\/r)) assuming r is positive.\nAnswer: r**(-2447\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6)*(-95)\/(-19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4587 + 0.434305. What is r rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 6, f: 3, z: 1, s: 7}. Give prob of sequence fse.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + l = -0*c + 43, 2*c = 3*l + 25. Suppose 14*k - c = 7*k. Solve k*y = -0 - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31867.981 - -31823. Let v = -45 - y. Let j = 0 - v. What is j rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 4*i + 0 = -44, -106 = -4*c + i - 16 - 30 - 22 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7)**(4\/15)*((b*b**(-2\/7)*b)\/b)\/(b**(2\/19)\/b) assuming b is positive.\nAnswer: b**(7466\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -688 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 371, 0 in descending order.\nAnswer: 371, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/331 - 52\/30783. Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - r**3 - 3*r**3)*(8*r + 0*r + 2*r).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2 - 39*x**3 - 231*x + 86*x + 145*x. Let j(r) = 155*r**3 + 9. Calculate -2*j(v) - 9*u(v).\nAnswer: 41*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1025\/100)\/(-41))\/(177\/12).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.3. Let z = 0.191 + -2.191. Let l = 4.4 - 4. Which is the second biggest value? (a) h (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/6)\/(35\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o + 2. Let b be t(-4). Let y = -10 - -6. Let f be ((-12)\/(-54))\/(y\/b). Sort 0, -3, f in descending order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*k - k - 35, -4*k - 20 = 0. Let l = -35.96 + 35.66. Suppose 4*r - 9 = -1. Which is the closest to j? (a) l (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*r + 2*u, 2*r + u + 6 = r. Let w be (-2)\/r - (-18)\/5. Let p(y) be the first derivative of -y**3\/3 + 3*y**2\/2 - 5*y - 811. What is p(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5401*z**3 + 6*z**2 + 51*z + 344. Let m be t(-9). What is m rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -59369843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((sqrt(19) - -2*sqrt(19)) + 3 - (sqrt(19) + -2*sqrt(19))*1)) + 1 + (sqrt(1862) - -2*sqrt(1862))\/(sqrt(50)*1).\nAnswer: 11 + 121*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -273 + 273.15. Which is the biggest value? (a) 2\/13 (b) w (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22140*f**5*q - f**2*q + f**2 + 3*f*q + 1230*q wrt f.\nAnswer: -1328400*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 18*q - 95 = 0, 2*k + 17 = 18*q - 15*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 - 1. Let m be i(-1). Suppose -2*n = -m*n + 3. Let p(q) = 40*q + 128. Let x(d) = 19*d + 61. Let j(a) = 10*p(a) - 21*x(a). Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 3\/5 (c) 2\/1939 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.064 + -131. Let l = z - 0.203. Round l to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = m, v - 4 + 2 = -2*m. Let s be 3\/(-6)*v\/(-1)*-7. Let c(x) = 11*x - 10. Is 10 a factor of c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(4 - 1 - 6)*(784*s - 784*s - 32*s**2) as i*s + r + d*s**2 and give d.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.4, 4\/17, 3\/23, -123, -0.4 in increasing order.\nAnswer: -123, -4.4, -0.4, 3\/23, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x - 32. Let y(k) = 6*k + 16. Let g(a) = 3*m(a) + 5*y(a). Let d be g(9). What are the prime factors of 2*(d\/30)\/(1\/(-21))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180.3 - -171. Let t = h + 9.332. What is t rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170 * 0.3.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 16078*f + 757840. Calculate m(-47).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-72))\/((56\/16)\/((-1)\/(-20))).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + 4*y. Let g be t(-3). Let r = -253 - -174. Let d = 121 + r. Calculate the greatest common factor of g and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -305, -707, -1261, -1961?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24743068 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let w(n) = n**2 + 4*n - 3. Let q(p) = w(p) - 6*z(p). What are the prime factors of q(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282938351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66b (base 13) to base 5.\nAnswer: 13403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let q = 47 + -45. Let i = 41 - 37. Which is the nearest to h? (a) i (b) q (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 11 + -1 + -8. Suppose f*p + 4*p = 18888. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 16.559 (b) 3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 1163264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7237 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -213696580 <= -213696582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 21. Let d = -21 + 31. Let j = d - 9. What is the greatest common divisor of j and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011111100110 (base 2) to base 9\nAnswer: -15008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*r**2 - 2673*c**3*r + 7*c**2*r**3 - 592*c**2*r**2 - 19*r wrt r?\nAnswer: 4*c**3 + 42*c**2*r - 1184*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 297*r**2 - 288*r - 588.\nAnswer: -3*(r - 98)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96466 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 2, a: 1, k: 2, q: 1, z: 1}. What is prob of sequence zxxq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 676127867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -103*k - 317. What is the units digit of f(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 - 9*l - 7. Let n = 472 - 294. Find the common denominator of t(-6) and 3\/(-6) - n\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 9*r + 45 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (-18 - -15 - -12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -380515, -380503, -380491?\n\"Answer: 12*t - 380527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/36 and -145\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. What are the prime factors of z\/(-1) + 10 + 53?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b80 + -85?\nAnswer: 1ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.5 + 25. What is the third smallest value in -5, b, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 1 - 4. Let s(j) = -2*j**3 - 24*j**2 - 38*j + 23. Let u be s(-10). Solve 5*d = -h - 17, u*n = d + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6571213264 and -44?\nAnswer: 6571213308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - 6. Let b = 36 + u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59962750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*i - v, 4*i - 4*v + 2 = -9*v. Suppose -52 = -i*b + 90. Let h = b - 211\/3. Sort 6\/17, h, 4 in ascending order.\nAnswer: 6\/17, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 47, 56, 69, 86, 107?\n\"Answer: 2*x**2 - x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118\/13? (a) 4 (b) -0.1 (c) 6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -478\/3 or -160?\nAnswer: -478\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398544 + -10963. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-30) + -5 + (-438)\/(-90). Suppose p + 5*h - 1550 = t, 5*p - h - 7774 = -2*h. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*k - 11*k - 45828. Suppose -1407 - 1008 = -y - 4*m, 5*m = -y + k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3250 or -3\/4?\nAnswer: 3250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 4*y - 4. Let o(m) = 5*m**2 + 7*m + 7. Let i(p) = -7*k(p) - 4*o(p). Let z(a) be the second derivative of -a**3\/3 + a. Determine i(z(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 927086051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29073886 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21558696 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiciicciiiiii. Give prob of picking 2 c and 1 i.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019323157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -2.03. What is the nearest to 0.1 in z, -0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, u: 7}. Give prob of sequence uuw.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -5.92.\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22538, 22043, 21220, 20069, 18590?\nAnswer: 16783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101001110 - 100?\nAnswer: 100101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2101217 + 1640825 = 185*s + 713777. What are the prime factors of s?\nAnswer: 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 37. Let k be h(11). Suppose -14 = -j + k*j - 5*x, 2*j = x. Suppose j*n - 232 = -3*l, -76 = -n - 3*l + 37. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suupaupguqppususus. Give prob of picking 3 u and 1 p.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 21*i - 45. Let r be v(23). Let d(p) = 39*p + 4. What is the units digit of d(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/3*(2 - -1). Suppose 4*q - w = i + 3*i, 5*q - 2 = -3*i. Does 11 divide (21 - i)*(5 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4522420140 - -4?\nAnswer: 4522420144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -43*a**2. Let y(t) = -2*t**2 + 17*t + 11. Let n = -39 - -48. Let g be y(n). Let z(v) = 15 - 31 + 16 + g*v. What is u(z(m))?\nAnswer: -172*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 6:50 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -3?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**6\/30 - 175*p**4\/12 - 221*p**3\/6 - p**2 - 465*p. Find the second derivative of i(b) wrt b.\nAnswer: -12*b**2 - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p - 2. Let k(g) = 7*g + 47. Let o(a) = 64*a + 438. Let r(c) = 28*k(c) - 3*o(c). Suppose 4*u = 10 + 2. Calculate u*t(w) + 4*r(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 47*k**2. Let r(w) = -w**3 - 47*w**2. Determine -2*d(n) - 3*r(n).\nAnswer: -n**3 + 47*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(252))**2*3 + 3.\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.735456 rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 4:18 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14041610 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -2*y**3\/57 - 74*y**2\/19 - 146*y\/19 - 2813. Factor l(q).\nAnswer: -2*(q + 1)*(q + 73)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1539)\/(-45) - 2\/10. Let b = c + -30. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/7*7\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 114\/(-56) - 22*(-36)\/(-528). Which is greater: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let m = -1350 - -1352.388. Let q = -0.612 - m. What is the nearest to n in -1\/3, 2\/7, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 + 3*c**3 - 87 + (-5 + 0 + 6)*(19*c**3 + 14*c**3 - 21*c**3) - c**3 + 3 - 3 - 1 + 1 - 2*c**3 to t*c**2 + s + l*c + d*c**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6091\/24 - -752\/3. Calculate the common denominator of q and -89\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1, e: 1, v: 1, k: 2}. What is prob of picking 1 e and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4\/3 + 11849*f**3\/6 - 48715*f**2\/6 + 40423*f\/6 - 1189\/2 = 0.\nAnswer: -1189, 1\/10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m*m**(-9))\/m*m)\/m)*m*m**0*m)**(-4\/25) assuming m is positive.\nAnswer: m**(-52\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -5. Let n(i) = i**3 + 6*i**2 - 8*i - 9. Let o be n(g). Let m be o\/(-10) + 72\/15. Solve -m*p - 12 = 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*l + 115*l + 124*l - 499*l + 129*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -5.01. Let j = f + -8. Which is the closest to 0? (a) 5 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 1539777*u - 110192*u + 40.\nAnswer: 1429585*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9724 rounded to 2 decimal places?\nAnswer: 3.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109050 and 3450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.75507 - 0.45507. Which is the closest to 13? (a) 0.5 (b) -0.5 (c) o (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -27, 2, -4, -3, 20 in ascending order.\nAnswer: -27, -4, -3, 2, 3, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1*-5 + sqrt(108) - -1*(sqrt(108)*1 - sqrt(108)))\/((sqrt(96) - sqrt(96)*2)*3).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6823*g - 6823*g - 6 + 4 + 29*g**3 - 566*g**3 + g**2 - 2*g**4 to t*g**2 + n + r*g + j*g**3 + m*g**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12103177?\nAnswer: 1279, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456 + -456. Is 2\/273 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + -12 + -116 + (12 + 9 - 3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.9623 years to centuries.\nAnswer: 8.199623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*t + 64, -17 + 18 = -t. Suppose 0 = 5*u - r, -2*v + 16*u - 20*u = -1218. What are the prime factors of v?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 82140*k - 82145.\nAnswer: 5*(k - 16429)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2. Let s(n) = -3*n + 9. Let f(u) = 2*u - 5. Let k(a) = -5*f(a) - 3*s(a). Let m(i) = i - 1. Let g(d) = k(d) - 2*m(d). Determine g(j(q)).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 - (1 + 1). Suppose -18 = -q*x - 3*x. Let y be 3\/2*(x - 4). Solve 5 = 2*h - y*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let l be 1 - 0 - (6 + -5). Suppose 4*f - 16 + l = 0. Let i(k) = 0 + f*k + 0. What is z(i(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 2*d + 1. Let u be j(1). Let a = -10 - u. What is the units digit of (-2)\/a + (-6)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90622339 <= 90622338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 1706771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*m - 40, -2*m = 5*o - 9 + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*m = -2132, 56*y - m = 58*y - 1078. What are the prime factors of y?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1638 + -7?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 12*p - c = 23, -2*p + 14 = -2*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**2 + 29*a + 22. Give j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -22 - (0 + -6 + 3 - 5).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126238*o + 3902*o**2 - 62882*o - 65671*o wrt o?\nAnswer: 7804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 20 = -8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let k(g) = -919347*g**2. Give k(h(d)).\nAnswer: -3677388*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*(-46)\/138.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233\/511 - 2\/73. Let q be 42\/(-45) - 4\/(-12). Which is the third smallest value? (a) 2\/15 (b) q (c) -1\/5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 4*v - 43, 2*q = -0*q - 829*v + 826*v + 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 1. Let h = z + 0.19. Round h to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(117) - (sqrt(117) + -2*sqrt(117))) + sqrt(117) + sqrt(117))\/sqrt(9))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6336 + 11337. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j**11 assuming j is positive.\nAnswer: j**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.91975ng in micrograms?\nAnswer: 0.09691975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -193*m - 377. Give s(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64311*h - 64315*h - 7*h**3 + 2 - 4*h**4 + 51*h**4 + (-h**2 + 2*h - 2*h)*(-h**2 + 2*h**2 - 3*h**2).\nAnswer: 49*h**4 - 7*h**3 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18555238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 724440372 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3844 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*j = 3*n - 16, -j = -n. Let r = -2.4 + 2. What is the second biggest value in n, 4, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 1. Suppose 4*h + 201 = 3*y + 246, 3 = h. Let g(q) = 35*q + 6. Calculate y*a(t) + 2*g(t).\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264013 is divided by 3617.\nAnswer: 3589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390839 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 404102434?\nAnswer: 404102443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179408 is divided by 9966?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*-10081\nAnswer: -20162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-1*3 - -1*2*sqrt(171))**2 - (-2*(0 + (sqrt(684)*-2)**2) + 5).\nAnswer: 9742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/11 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/11 + 0*u**3 - 16\/11*u**2 + 2\/11*u**4 + 0*u.\nAnswer: 2*(u - 2)**2*(u + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 643, 364, -13, -482, -1037, -1672, -2381, -3158?\n\"Answer: x**3 - 55*x**2 - 121*x + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -65 (b) -1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m + 5*p = 38*m - 38, 5*m + 5*p + 20 = 0. Solve 5*t + m*r + 7 + 6 = 0, 5*r - 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (88\/24)\/((-1)\/(-21)). Suppose i - 3*y = 78, -3*i + 5*y + 299 - s = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473767 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 closest to -0.076 in -2, -1\/4, -5\/6, 0.2533?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102212100 (base 3) in base 9?\nAnswer: -12770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 2091238*q + 2091235*q - 13*q**3 + 10*q**3.\nAnswer: -3*q**3 + 7*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, -1927, -107, 1 in descending order.\nAnswer: 14, 4, 1, -107, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 - 3*g**2 + g**2)*(-50 + 30 - 381)*(-1 + 1 + 1) - 3 - g**2 + 3 to a*g**2 + m + y*g and give a.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 365802 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 3*x + 3*x)*(3 - 2 + 1) - 50 + x + 0 - 46 in the form h*x + b and give b.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + f + 217 = -420, -2*r + 434 = -3*f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/53 (b) 1\/6 (c) -6314\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2050 = 5*y + 250. Suppose -3*i = -y - 3147. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(704) + (sqrt(704) + 3)**2 - (sqrt(176)*5 + -4)**2.\nAnswer: -3703 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -5*u**3\/6 + 4*u**2 + 8*u. Does 7 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 860 = 0. Let b = -24 + j. Let h = b + -112. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4664 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/765 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 1060*f**3 - 6468*f**2 - 9756*f = 0. What is f?\nAnswer: -3, 0, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(1584)))**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-7)\/u*u)\/u))\/(u\/(u*(u\/(u\/(u**(-1\/5)*u*u)))\/u)))\/((u\/(u\/(u*u**0)))\/u)**33 assuming u is positive.\nAnswer: u**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 23.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211036 + 211003.5638. Let f = a + 32.4. What is f rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 9. Let k be w(7). Suppose -k*b = -3 - 7. Suppose -h**5 + 3*h**b - h**4 - 2*h**2 - 5*h**4 + 6*h**3 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16 - 10 - 1274*v - 16 + 45. Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 674333081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p - 2. Let l(z) = z**3 + 36*z**2 + 62*z - 95. What is the remainder when l(-34) is divided by f(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5274 - 5274.2. Put -4, j, 0.8, 0.3, 1 in increasing order.\nAnswer: -4, j, 0.3, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5242756061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14557.7 litres in millilitres?\nAnswer: 14557700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 = 3, 3*r = 3*o + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:54 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*g = -8, 42*f - 5*g = 38*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -46*g**2. Let t(i) = -1860283*i. What is d(t(f))?\nAnswer: -159190030644094*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 52*h**2 - 5*h + 166. Let p be y(26). Calculate the highest common factor of 1164 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqqq when four letters picked without replacement from qgqggggqgq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97012073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 13*w - 35. Let x(s) = -s**2 + 6*s + 18. Let m(o) = -3*i(o) - 5*x(o). Let v be m(11). Let t(k) = -3*k - 6. What is the units digit of t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let i(n) = 5*n**2 + 15*n - 9. Let t be i(-4). Let k(s) = -t + 22 - 2*s**2 - 12 - 5*s**2. What is k(m(h))?\nAnswer: -28*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16747062953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1374.95 + -7.\nAnswer: -1381.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**3 + 35*q**2 - 46*q - 4. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/16*18\/330*-8?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 151*(-34)\/(1 - 3). Suppose 5*x - 3*x - 1278 = 4*i, -3*i + b = 4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -470590 * 0.1.\nAnswer: -47059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 2.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 157*g**2\/2 - 92*g - 87. What is the tens digit of a(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 2. Let h be f(-2). Suppose -h = -r - r. Suppose -r*m = -3*p - 23, 0*m = -3*m - p + 29. Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 9. Find the third derivative of -l*m**3 + 3*m**3 - m**2 - m**3 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 7*d - 2. Let f be x(-8). Suppose 6*r - r - 5*j = 130, -f = -4*r - 2*j. Let u = r + -19. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + -7.12. Let v = 10 + u. Let t = 0 - 0.2. Which is the biggest value? (a) v (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.9 + -1.9. Let h = 7.4 - y. What is the nearest to 1 in h, -2, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 6*h - 2. Let g be y(-6). Let c be 16\/12 - g\/3. Solve 2*l + 10 = 5*o, 2*o - 4*l + c = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.037 in 0.3, -2\/125, -29\/4, 30?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-3 + 3 + 2*i) - 7*i + 3*i - 8 + 6*i.\nAnswer: 4*i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156650483?\nAnswer: 11, 47, 302999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44768*c*y**2 - 30*c*y - 62208620*c + 6*y wrt y.\nAnswer: -89536*c*y - 30*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -617.7 - -616.7. Sort 4, 3\/29, -4, 0.4, p in increasing order.\nAnswer: -4, p, 3\/29, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(42\/(-105) - 186\/(-15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45944\/3 + -15655. Let n = -339 - f. Factor n*p - 2\/3*p**2 + 0 - 2\/3*p**3.\nAnswer: -2*p*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x**4 + 1\/4*x - 1 + 0*x**2 - 1\/6*x**3 + 1\/20*x**5. Determine v so that q(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 14472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, 0.4, 10, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 26 - (-26)\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -191 and 4.7783.\nAnswer: -186.2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + 0.08. Let f be (-637)\/357 + 585\/351. What is the biggest value in w, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68247\/16 + -4270. What is the common denominator of 131\/18 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 50*q**3 - 14*q**2 + 11*q - 3. Let n(d) = -17*d**3 + 4*d**2 - 4*d + 2. Calculate 11*n(a) + 4*r(a).\nAnswer: 13*a**3 - 12*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(sqrt(180)*-3 - sqrt(180)) - (-2 + sqrt(180) + -3)) + 5 + (-4 + -2*sqrt(180) - -4*(sqrt(180) + 1 + sqrt(180))))**2.\nAnswer: 120*sqrt(5) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1738, -13831, -46648, -110551, -215902, -373063?\n\"Answer: -1727*w**3 - 4*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15352 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 11. Suppose -37 = -4*l + y. Suppose 17*a = l*a + 705. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*h**5*u*v - 2*h**2*u*v + 4918*h**2*u - 57*h*u*v - 22*h*u - 28*h*v wrt h.\nAnswer: 1600*h**3*u*v - 4*u*v + 9836*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.065 + -36.065. Let k = 20.17 + 10.83. Let q = k + s. Which is the third smallest value? (a) q (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 11 - (-2 - 6\/2).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x*x**(2\/73)))*((x\/(x*x**(-41)))\/x)\/x)\/(x*x*x**4)**(-1\/56) assuming x is positive.\nAnswer: x**(86123\/2044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15231991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 920372909 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eephpehpp. What is prob of picking 2 p, 1 h, and 1 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 73*o**3 - o. Let z be g(1). What is the greatest common divisor of 48 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -0.3?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94396, 186562, 278728, 370894, 463060?\nAnswer: 555226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 8*p - 5*p. Let f(h) = -6*h**2. Determine f(s(u)).\nAnswer: -384*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1307*j**2 - 1219*j + 4. Let y(c) = 1305*c**2 - 1224*c + 5. Let g(k) = 5*t(k) - 4*y(k). What is the second derivative of g(n) wrt n?\nAnswer: 2630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294752463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxq when three letters picked without replacement from qqqqqqqqxqyqyqxxqyq.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3724065)\/(-9))\/((-15)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41080669.\nAnswer: 7, 577, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2042 + 2?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(0*j**3 + j**3 + 0*j**3) + (-12 + 12 + 14*j**2)*(-2*j + 0 + 0) in the form u*j + n*j**3 + b*j**2 + q and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-28))\/(-3)*21\/(-3). Suppose 4*n - 4 = -4*v, -4*v + 9 = -f*n - 1. Suppose -3*g - 2*a = -40, 3*g - 26 = 3*a + v*a. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-6)\/42 - 55\/418. What is the closest to 2\/3 in 0.4, x, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-11\/5)*w)**13)**(-49) assuming w is positive.\nAnswer: w**(-5733\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 45.2. What is the biggest value in h, 2\/15, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157109 is divided by 4757.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 51170 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 582, 869, 1154?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 641 = -104. Let l = y - 175. Which is the closest to -10? (a) l (b) 3\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 165.1. Let c = 8 - l. Are -9 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 78.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59317.373 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 84447*n + 11150. Is t(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 9*w - 3. Give a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) -5\/2 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 divided by -9.\nAnswer: 296\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 485*j**3\/3 - 1253. Let b(z) = -z. Calculate r(b(f)).\nAnswer: 485*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14338 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4260 + 5679 + 7456 + 4029 - 1611)*(-b**3 - 2*b**3 + 2*b**3) as u + l*b + v*b**3 + q*b**2 and give v.\nAnswer: -19813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3247 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1956 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + 0.5. Let o = h - 2. Let b = o - -0.68. Round b to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1163.34.\nAnswer: -232.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -20352?\nAnswer: 20332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23999 - 7953. List the prime factors of i.\nAnswer: 2, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -53, -120, -221, -362?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and -205004284?\nAnswer: 205004284.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 5, 0.3, -1.34?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48452 or 48275?\nAnswer: 48452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 14*n + 5. Let p be g(-9). Suppose f + 3*y = -0*f + 54, 5*y - 25 = 0. Let b = p + f. Which is greater: b or 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -14310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -7680255?\nAnswer: 7680259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 554088816 - 0?\nAnswer: 554088816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 34. Let w be u(-14). What is the greatest common divisor of 100 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 - 9*k**3 + 34*k**2 - 24*k = 0.\nAnswer: -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let x = 7 + g. Let d = 4.5 - x. Put -2\/5, d, -1 in increasing order.\nAnswer: -1, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103482 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*j + 2406 + 1494 = 188*j. What is the remainder when j is divided by 256?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.546984 minus 0.11451?\nAnswer: 105.432474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q. Let m(s) = -4 + 2 + 2*s + s. Let w be m(0). Let v be k(w). Solve -2*a = 3*b - 19, b + v*a = -a + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -2) + 29 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*t + 1104*t = 2208*t + 2146*t + 275908 for t.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*u*v**2 - u*v - 298768*u - 5*v**2 - 3*v wrt v?\nAnswer: -60*u*v - u - 10*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-104)\/(-2))\/(-14*(-1)\/119).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 151 + 269 + (77 - 360)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {z: 3, l: 2, a: 8, e: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20\/9)*r)\/(r*(r**(-13)*r)\/r)*(r*r**(-30\/11)*r)\/r**23 assuming r is positive.\nAnswer: r**(-1282\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94, 185, 276?\n\"Answer: 91*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60555 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111 - 2020?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2590112 - -57?\nAnswer: 2590169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*2)\/sqrt(7))\/(sqrt(55)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0584 + -0.0198. Let i = 0.038600036 - j. What is i rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -4\/5, -18\/5, 2, 0?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-3 + 1) - -44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10933*f**4 - 29716*f**2?\nAnswer: 262392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 + -2.6. Let z = -2.200009 + o. Round z to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1007\/4060 - -2\/1015. Let p = 0.26 - 15.26. Let j = 14 + p. Which is the second smallest value? (a) 10 (b) -0.1 (c) l (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 257*b + 3. Let w(o) = o**2 - 702. Calculate j(w(d)).\nAnswer: 257*d**2 - 180411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-7))\/(5\/(-5)). Let i = -2 - -3. Let k = -5 - -5. Which is the nearest to i? (a) k (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from {f: 2, z: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74129\/3 - 24342. Let u = -13603\/37 + z. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -16*m - 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188968075.50999759 - -188968070. Let f = i + 5.51. Round f to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 4*p - 4. Let c be y(4). Suppose 44 = 5*r - 6. Let h be r\/(-55) - (-464)\/11. Calculate the greatest common divisor of c and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12985644 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*q + 91. Suppose 4*s - s - 2*n = q, 4*s = 4*n + 48. Let w = -64 + 93. What is the remainder when w is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -292\/13 in -4, 0.2, 1\/2, -1\/10, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6696040.\nAnswer: 2, 5, 13, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 7, x: 9}. What is prob of picking 1 x and 3 r?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43590266 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(3*n**2 - 7*n**2 + 2*n**2) + 0*n**2 + 3*n**2 - 4*n**2 + (-25*n - 330 + 330)*(-n - 2 + 2)*(0 + 1 + 1).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {e: 1, x: 1, n: 1, f: 2, v: 1, l: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1003 = -2*a - 2*a - 3*y, 4*a + 2*y - 1002 = 0. Calculate the remainder when a is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 6*c. Let i(g) be the third derivative of 0 + 0*g + 1\/30*g**5 + 0*g**4 + 43*g**2 + 0*g**3. Calculate h(i(f)).\nAnswer: -12*f**4 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16787881 is divided by 8393939.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2\/11, -0.5, 0.2, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 721*q - 723*q + 16, q + 12 = 3*s. Solve 4*o + 5*t + 2 = 0, 115*o - 118*o + s = t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 + (0 - 56\/(-90))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 78, -1\/9, -6, 1\/2 in ascending order.\nAnswer: -6, -3, -1\/9, 1\/2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 32. Give b(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 - 68*o - 66. Calculate t(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 3, 78, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r - 4. Let c(n) = -5 + n**3 + 5 - r. Let v(p) = -3*p**3 + 2. What is 4*c(g) + v(g)?\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(2*sqrt(9)))\/(-2*sqrt(98) - sqrt(2)) - ((sqrt(70) - -5*(sqrt(70) + 2*sqrt(70)))\/sqrt(10) + -1).\nAnswer: -481*sqrt(7)\/30 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13, -37, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32187516, 32187518, 32187520, 32187522, 32187524, 32187526?\n\"Answer: 2*k + 32187514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 48. Let y be (-38)\/(-6) + (-2)\/(-3). Are n and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3 - 750*l**2 + 16128*l - 81536 = 0?\nAnswer: 8, 14, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12045907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 1132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 157409 = -61*k - 66*k. Which is smaller: k or 1392?\nAnswer: 1392","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -709, -1066?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(2975\/(-25)) + (-2666)\/17143?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.036, -2\/5, -4, 41.303, 3\/5?\nAnswer: 41.303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Let u(s) = s**2. Let l(k) = -6*k**2. Let p = -11 + 5. Let z be p\/15 + 26\/(-10). Let b(x) = z*u(x) - l(x). What is b(g(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -118\/5 (b) 0.2 (c) 3\/2 (d) -15926\/5 (e) 2\/7 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k, -5*s + 20 = -4*k. Suppose -4*r + 20 = s*w, 0*w + 4*w - 20 = -5*r. Which is the fourth biggest value? (a) 1\/4 (b) -7 (c) -0.4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11339 and 78.\nAnswer: -884442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 3*f**5\/10 + f**4\/24 + f**3\/3 + 4*f**2. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**(2\/31)*o*o)\/(o\/o**(1\/22)))**17 assuming o is positive.\nAnswer: o**(57749\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 292 = -2*c. Let k(d) = d**2 - 229*d - 4427. What is the remainder when c is divided by k(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-16 - -24) - -13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.41 and 3234225227332?\nAnswer: 3234225227328.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527687.\nAnswer: 19, 27773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560066 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -1 + (-6700)\/(-276). Let r = k + -198\/23. What is the common denominator of r and (8\/6)\/((-5)\/(-85))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -18*j + 5. Let u be o(-4). Let c = -135 + u. Let l = -26 - c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = n + 20, 19*g - 20 = 22*g + 2*n. Is -3*g\/3 - -3073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a tonne in kilograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111751105 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1239103*l. Let j(i) = -27*i. Give j(o(t)).\nAnswer: 33455781*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(sqrt(448) + sqrt(448) + -1) + -1 + 2*sqrt(567) + sqrt(567) + -1 + 3)**2.\nAnswer: -300*sqrt(7) + 39379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41101)\/493212*2*2*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/(14904\/486).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.26 - 3.\nAnswer: -12.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8899720 to the power of 1\/2, to the nearest integer?\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27315227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 + 428. Let i = f + -117. Solve 2*k = 5*h - 18, 2*h - 3*h - i*k = 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -53 + 58 + (39 - 0). Solve 6*a = -5*a + f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 0, 348 = f - 5*f - 5*z. Is f at most -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-12))\/(1\/3). Suppose 5*p - 16 = -1. Let z = p + 1. What is the smallest value in 2\/7, z, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 825, 1658, 2489, 3318, 4145, 4970?\n\"Answer: -d**2 + 836*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2\/(-8))\/(7\/(-35)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9283 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from uuctuuucuucbbubuutt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4203 + -4202.95226. What is u rounded to three decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.242 + -1.5975. Let h = -191.2845 + i. Let c = h + 196. Round c to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 - 139*b + 688. Determine j(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796765 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 9434*o - 9434*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 44. Let n = 259 - 257. Let o be 4*n*(-1)\/(-5 + -3). Is g at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i. Let p(l) = -3*l**2 - 7*l. Suppose 2*o - s = 0, o + 0*s = 5*s + 18. Let z(y) = o*p(y) + 7*w(y). Let x(c) = 13*c**2. Give x(z(g)).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -19 - 2. Suppose 4*f - 4*n - 8 = 0, 3*f + n + 7 = -r. Which is greater: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b = -69*b - 182 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 0*j - 16 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2\/5 (b) -1 (c) 2\/13 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 20793012.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33671, -134725, -303159, -538985, -842215?\nAnswer: -1212861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (560\/160)\/((-1)\/(-8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*1499\nAnswer: -4497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from oollzloootto?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.269?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.8 - -7.8172. What is p rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 6\/9 - 1\/(-3). Let v = -11889\/10 + 1193. What is the common denominator of (-13)\/q - (4 - -5)\/(-3) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from tktvdvvdvkkkv?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 1354*z + 2704. Let i be v(-2). Sort -6\/5, 4, i in increasing order.\nAnswer: -6\/5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*o - 2 = 0, 14*o = 5*f + 16*o - 22. Suppose 91 - 337 = -f*p. Solve 5*q + p = 4*n, 2*n + 12 = -3*q - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*d = -25, -g - 13 = -3*g - d. Suppose -211 = -4*b + 2*t - 49, -g*t = 5*b - 165. Suppose -11 + b = 3*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 15. Let r be (-4)\/(-2) + u + -22. Is 7 a factor of -8 + 9 - (r - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 15*w**2 + 16*w + 34. List the prime factors of n(-17).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 14*j - 44. What is s(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67\/5876928 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2*-1 - -11. Let s = 53 - 45. Suppose 0 = -s*z + 4*z + 5*f + 30, -28 = -2*z - 4*f. Calculate the highest common divisor of r and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/41? (a) 0.43 (b) 3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-20))\/(195\/(-30)))\/(8\/(-400)*9).\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2128 - 0.2872. Which is the third biggest value? (a) g (b) 0 (c) -167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -1. What is the remainder when (2\/(-2 - -14))\/((-22)\/(-8844)) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 97. Let q be o(-29). Let p be (-102)\/(-255) - (-16)\/q. Solve 6 = p*m + 5*d - 7, 0 = -2*d + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in 23\/3, 4, 329, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/70)\/((533\/(-273))\/(-41)))\/(6\/15)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 230, 544, 962, 1472, 2062?\n\"Answer: -2*g**3 + 70*g**2 + 2*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)*s\/s**(-3)*(s*s**(-1\/2))**18 assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 3*l + 5. Let q be d(-4). Let j be 8\/10 - 3\/15. Let p = -8 + 4. Which is the nearest to q? (a) -1\/4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 280.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, d: 2, c: 1, g: 1, b: 8, r: 2}. What is prob of picking 1 c, 1 b, and 1 p?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (1 - -11) - 4. Suppose a*t = t - 12. Let s(h) = -h**2 + 4*h. Let m(u) = -u**2 + 5*u - 1. Give t*s(x) + 2*m(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4\/7 - 1560*g**3\/7 - 1565*g**2\/7 + 6240*g\/7 + 892 = 0?\nAnswer: -2, -1, 2, 1561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225931283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Suppose -4*z - 4 = -8. Suppose 0 = -4*t + 15 + z. Let d(p) = -6*p - 1. Let w(u) = -u**2 + 6*u - 4. Let j be w(5). Calculate j*d(n) + t*s(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -2. Let s be -8*(26\/(-8) - a). Factor 2*n**2 + 13*n + 21*n**2 - 3*n**s - n - 8.\nAnswer: 4*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2023 + 3236. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -20*p. Let z(u) = -260*u. Suppose 2*g + 40 = 3*g. Let y(s) = g*o(s) - 3*z(s). Let w(l) = -7*l. Calculate 17*w(i) - 6*y(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 222\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1869, 3776, 5729, 7734, 9797?\n\"Answer: y**3 + 17*y**2 + 1849*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-9)*k*k**4\/k*k*k**10*k*k**(-2\/11) assuming k is positive.\nAnswer: k**(284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-55)\/(-4))\/((-6)\/(-24)). Suppose -5*v + 13 = -w, 4*v - f = -5*w - 4. What is the third derivative of 3*c - 10*c + 5*c**2 + w*c - 5*c**4 wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717748\/380 - (-36)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6*d - 3 = 0. Is d equal to 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23628, 79998, 136380, 192780, 249204?\nAnswer: 305658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:17 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4780, 9553, 14316, 19063, 23788, 28485?\nAnswer: 33148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 380395 divided by 178\nAnswer: 380395\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2 - 4019*f + 28523. Give j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*s - 23. Suppose -3*r = -3*a - 2*a - 8, 0 = -s*r + 3*a + 6. Solve 4*l - 2*l + r = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90d515 (base 14) to base 11\nAnswer: -2831256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/3)\/q)*((q*q**(2\/5))\/q)\/q)**50*((q*q**1*q)\/q*q**(1\/4))**(-19\/3) assuming q is positive.\nAnswer: q**(469\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -9, -1 in ascending order.\nAnswer: -9, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*y + 70*y - 6 + 171.\nAnswer: 150*y + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 4*w. Let j be h(-4). Solve -d + j = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0123 * -5.\nAnswer: 0.0615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 8. Let q be k(-5). Suppose 0 = o - q*b + 12, 0*o - 18 = -o - 3*b. What is the second derivative of 3*w - 6*w**4 + 9*w**4 - w - o*w wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4621, -9242, -13859, -18472, -23081, -27686?\n\"Answer: 2*d**2 - 4627*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129648 and 16428.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264011459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by 13\nAnswer: -166\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4575 by 15.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:30 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - -1) + (10117 - 10160 - (-72 + -1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777789 is divided by 351?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpcw when four letters picked without replacement from {w: 2, f: 1, h: 1, c: 1, p: 1, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*i**2 - 14*i - 533*i**2 + 185*i**2 + 105*i**3 + 176*i**2 - 66*i + 20 = 0 for i.\nAnswer: -1, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 divided by 9?\nAnswer: -520\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 8*w + 6. Let c be f(-6). Let j be (c\/(-1020))\/(2\/(-8)). Let v = j + 192\/935. What is the second smallest value in 5, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20218466 (base 9) in base 10?\nAnswer: 9696813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-466)\/3495*(-465)\/(-6))\/(3\/(-18))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 0.1 (c) 22 (d) 3\/7 (e) -0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 1 - 3. Suppose 6*m + 3 = 3*m - 4*y, -3 = 3*m - c*y. Let p(l) = -4*l + 1. What is p(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11492 and 235586.\nAnswer: 471172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a - 167 = -1927. Suppose 17 = -3*b - 5*y, 0*b - 2*y - 4 = 4*b. What is the remainder when a is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 167\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6124, 6148, 6172, 6196, 6220, 6244?\nAnswer: 6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, 0, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -3 (c) 2\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-3)\/(-3)*-3. Suppose a = h*b - 3, b + 3*b = 4*a. Suppose -5*x + 15 = u, -3*x + a + 3 = 0. Solve -u*r + 10 = -10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655, 656, 657, 658, 659?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 383 (b) -1\/3 (c) -3 (d) -418\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -238, -343, -318, -163, 122, 537?\n\"Answer: 65*c**2 - 300*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 52. Let r = j - -16. Which is the closest to -1? (a) r (b) 8\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 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: Suppose 0 = -4*a + 38 + 82. Suppose 9*u = 573 + 507. Calculate the greatest common divisor of a and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = z - 31, 0*a + 38 = 5*a + 2*z. Suppose -a*w - 252 = 10*w. Sort 0.2, w, -0.3 in decreasing order.\nAnswer: 0.2, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16921 - -2576. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67272 - 34227. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -2076\/3643?\nAnswer: -2076\/3643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287.034 and -4.\nAnswer: 1148.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z - 1)*(23 - 13 + 28) + (4 - 2 - 4)*(-10*z + 7*z + 5*z).\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8934933\/319 + 28009. Let v = l + -55\/29. Which is bigger: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v\/v**(-4\/7)))\/v))\/v)\/v*(v\/v**(-4))\/v*((v**5*v)\/v)\/(((v\/(v\/(v\/v**(-8))))\/v)\/v*v) assuming v is positive.\nAnswer: v**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23427 + -23432. What is the nearest to -40 in i, -0.3, -1.1, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = 10*o + 398 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194655?\nAnswer: 3, 5, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from cczzmzcmz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274517 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141.4 + -21.6. Let l = u + 162.99999847. What is l rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 2*g - 7 + 25 - 2*g**4 - 16 in the form v + r*g + z*g**3 + s*g**4 + d*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281*p - 1203*p**2 - 5227 + 10465 - 5238 wrt p?\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + 1 + ((sqrt(6)\/sqrt(2))**2*6 - (6*sqrt(6)\/sqrt(2) + sqrt(3))**2)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 + g - g + (0*g + g + g)*(g**2 - 2 + 2) + 5*g**3 - 3*g**3 + 0*g**3 + 0*g**3 + 4*g**3 - 3*g**3 - g**3 + 0*g**3 - 2*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*s - 382 = l, -3*s = 2*l + 254. Let g be (4 - (-516)\/l)*5. Put -2, 0, g in increasing order.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 - 18*w**3 + 17*w**3.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.0000016 - 18. Round g to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -459*z + 68. Let l = 75 + -59. Let s(u) = -34*u + 7 + 10 - l + 4. Let c(v) = -5*i(v) + 68*s(v). Let n(j) = -2*j**2. What is n(c(x))?\nAnswer: -578*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 532 (base 8) to base 15\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-216)\/(-16) - (1\/2 + -1). Suppose 4*t - 10*g - 52 = -n*g, -49 = -5*t - g. Solve 5*a - 3*i + 5 = -t, 4*a + 3*i + 22 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35482 + -21?\nAnswer: 35461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-168196)\/(-2548) + -66)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535483781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369299 divided by -31?\nAnswer: 1369299\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 37, 38, 39, 40, 41?\n\"Answer: w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 37*m**4\/24 - 5*m**3\/3 + 41*m**2\/2 - 8*m. Let a(z) be the first derivative of k(z). What is the tens digit of a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 2260.3612268.\nAnswer: 2260.3412268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 25 = -1. Let u = h + 25. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -3248333.308?\nAnswer: 3248336.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 + 3*q. Let j be 27\/(-8) + (-45)\/(-120). Let o(a) = 12*a**2 + 5*a. Let y(c) = j*o(c) + 5*x(c). Let h(z) = z. Calculate h(y(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 6 + 2*s - 2*s)*(10*s - 28*s - 2 + 8*s) in the form k + r*s**2 + l*s and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3116 * 1751.\nAnswer: -5456116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 1*6 - 4\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 88*r = 260 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 7.4. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m**2*t**2*z**4 + 9307*m**2*t*z - 13*t**2*z**4 - t**2*z**2 + 2*z**2 wrt z?\nAnswer: -864*m**2*t**2*z - 312*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2977020 and 1110.\nAnswer: 2977020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43042.\nAnswer: 2, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4481308 is divided by 1516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -100\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.6502*-17\nAnswer: -45.0534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0\/(-2))\/(-1))\/2. Suppose -6 = -2*y - i*y. Determine x so that 0 + 0*x**y - 2\/3*x**5 - 4\/3*x**4 + 2\/3*x + 4\/3*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i - 11*i - 20*i - 2 + 23*i to s*i + a and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 21*i - 62. Is k(12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 384*t**4 - 17*t**3 - 8*t**2 - 2322*t. Let u(f) = -f**4 - 2*f**3 - f**2 - 3*f. Let k(d) = m(d) - 8*u(d). Find the second derivative of k(a) wrt a.\nAnswer: 4704*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -781 (base 11) to base 6.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24538543, -24538539, -24538535, -24538531?\n\"Answer: 4*x - 24538547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -151, -547, -1321, -2599, -4507, -7171, -10717?\nAnswer: -15271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*z + 161 - 172, 4*g - 2*z + 6 = 0. Let p(b) = b**3 - 3*b**2 - 4*b - 2. Let i be p(4). Sort 1, 2, i, g in decreasing order.\nAnswer: 2, 1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/4 - 13*b**3\/3 - 9*b**2\/2 - 8*b - 13. Let q be j(-12). Let c = 31 - q. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -890 - -1410. Suppose -h = -54*x + 50*x. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-4*5 - sqrt(136))\/(sqrt(8) + 3*(sqrt(8) - (sqrt(8) - (5*sqrt(8) - sqrt(8))))).\nAnswer: -21*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 38*w = -624. Solve -w = 3*n - n - 4*k, -5*k + 15 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 7. Calculate the remainder when j(8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 1496 = -11*t. Calculate the remainder when t is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 463, 1026, 1875, 3154, 5007, 7578, 11011, 15450?\n\"Answer: 24*l**3 - l**2 + 398*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943180 is divided by 314334.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.198067 - -112231.838933. Let a = 112311 - z. Let u = -53 - a. Round u to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24037 - -24122. Solve -89*o = -v - n*o - 3, -5*v = o - 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -1\/420*v**6 + 0 + 1\/210*v**5 + 0*v + 0*v**3 + 1\/42*v**4 + 7*v**2. Suppose z(j) = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 + 111*s + 20. Give u(16).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1937981*p + 2473345 wrt p?\nAnswer: -1937981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -84976, -169950, -254922, -339892, -424860?\n\"Answer: d**2 - 84977*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*37\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/5 - (-85)\/225. Let k = -1.05 - -0.05. What is the second biggest value in 1, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 5) + (-4 - -1). Suppose -3*o + 777 = -j*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -c - 696 + 729, 5*c - 2*r - 1 = 0. Let h = -2222 + 715483\/322. Are h and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 460, 432, 1 in decreasing order.\nAnswer: 460, 432, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1739.8889 + -1740. Let c = x + 0.0701. Round c to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 524 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7383850 rounded to the nearest ten thousand?\nAnswer: 7380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 4*y - 9, 0 = 4*y - 4*z - 8. Suppose 4*k = y*c + 19, -2 = -c - 3. Solve -2*l = -k - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*b - 12, 21*b - 5*a = 25*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 61.1. Let q = 8429 - 8428. What is the closest to f in 0.1, -1, q, 0.365?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 839 + -695. Calculate the greatest common factor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46206 (base 7) in base 15?\nAnswer: -3746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 212*x**2 + 3302*x - 11868.\nAnswer: 2*(x - 3)*(x + 23)*(x + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2632276 or -77?\nAnswer: 2632276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3461.38l to millilitres.\nAnswer: 3461380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77900333 to the power of 1\/2, to the nearest integer?\nAnswer: 8826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.16 + 626.04. Let n = i - 663. Which is the fourth smallest value? (a) 15 (b) -2 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from {d: 1, v: 1, y: 1, n: 3, g: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -445\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 - 1 = 0, -22 = -2*u - 4*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 6. Let s = -385 - -424. Let b = 39 - s. Calculate i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(77)\/(5*sqrt(11)))*-3 + 5)**2*2*-4.\nAnswer: -3800 + 1200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - o = -17, -o + 5 - 4 = 0. Which is the nearest to 0? (a) w (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 61. Let w = 232 - 1615\/7. Which is greater: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1baa51b0 + 1?\nAnswer: -1baa51ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 greater than 1557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*p + 3*o - 3, 5*p - 40 = -2*o. Suppose p*j - 4*j - 12 = -4*r, 2*r - 5*j - 18 = 0. Is 4 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 139*y + 971. What is m(-9)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001504 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/3)\/(48\/108). Suppose d + 2 = -g*t - 2, -2*t = -4*d - 16. Let p(w) = t - 2*w**2 - 14*w**3 - 19*w - 1 + 3*w**2 + 18*w. Calculate p(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5*t**3 - 41*a**3 + 2*a*t**3 + 2*a*t + 2*t wrt a.\nAnswer: 40*a**3*t**3 - 246*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/56 and 5\/98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -59*z - 4. Let g = 3 + -7. Let x be h(g). Is 3 a factor of (-4)\/14 - x\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 10:38 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3488244 + 53.\nAnswer: 3488297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112672um in nanometers?\nAnswer: 112.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 115 = -7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = 25. Let n = 16 - 6. Let i = n + l. Solve i = 3*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424336 = -802*h - 3548*h + 792*h - 1264*h for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1100211201?\nAnswer: 1100211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d + 5*d)*(1 + 0 - 2)*(-4*d**2 + 0*d**2 + 6*d**2)*(2 + 2 - 9)*(1 + 0 - 4)*(-d + 4*d + d).\nAnswer: -1080*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 366 - 367. Let g be 2\/t - (-20 + 15). Sort -3, g, 0, -23.\nAnswer: -23, -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.92 + -298.92. Let w = c + 362.5. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 317*h**2 - 18*h - 13. What is the thousands digit of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, a: 2, i: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + p + 3. Let t be n(3). Let o = t + -17. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - 1.4. Let x = a - -26. Let m = 0.3999972 + x. What is m rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 10\/237, -414, 4, -1\/7, 0.03?\nAnswer: 10\/237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*n - 225 - 245 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (3 + (0 - 1)). Suppose 0 = -11*t - 473 + 506. Let i be 3 + -1 + -2 + 4. Sort a, t, i, -2 in descending order.\nAnswer: a, i, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 18*b**2 - 15*b + 35. Let p be h(-17). List the prime factors of 78\/p + -10 + 7.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.249 + -348.751. Let t = -353 - j. What is the fourth smallest value in t, -2, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - s - 4*r - 12, -799 + 1594 = s - 4*r + 801 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 500. Let o(n) = -661296*n. Determine o(l(y)).\nAnswer: 661296*y + 330648000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21320.\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3956 and 6854.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 + 3903*w**4 + 309*w**3 - 403359*w**2 + 1757862*w - 1967112 = 0.\nAnswer: -12, 2, 3, 7, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1 + sqrt(343))*-4 - sqrt(343)))**2*-5.\nAnswer: -171820 + 5600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 67843+0.196471\nAnswer: 67843.196471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**2 - 15*c = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22\/15421 + -4505946\/2112677. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.191 rounded to one dp?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 27*g + 57. Let a(j) = -j**2 + 54192*j - 54192*j. Calculate a(h(o)).\nAnswer: -729*o**2 - 3078*o - 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 2 + 8*v - 2*v. Let q(l) = l + 6. Let d be q(-6). What are the prime factors of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)*m)**31\/((m\/((m*m\/(m\/m**11*m))\/m*m))\/(m*m*m**(-10))) assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3211376.2 + 3211376.90000004. Let s = -0.7 + h. Round s to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.302*6\nAnswer: -25.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23712 times -0.28\nAnswer: -6639.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + -4 + 7 - (-1 - (-1 + 2))) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*p)*(-3 + 3 + 2 + (-1 + 1 - 1)*(-3 - 2 + 3) + 4 - 3 + 0) - 37*p - 28*p - 40*p + (0 + 2 + 0)*(1 - 1 + p).\nAnswer: -93*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 56?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53040 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8955 and -1\/10746?\nAnswer: 53730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1512810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 3\/2*z**2 - 112 - 12*z. Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*b + 992 = 0, 2*b + 11 - 1 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2033688 to 4 decimal places.\nAnswer: -0.2034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (48 + -52 - -12) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000 (base 4) in base 16?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001506473 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - 6*a**2 + 2*a**2 + (3*a**2 + 2 - 2)*(4 - 2 + 0) - a**2 + 4*a**2 - 2*a**2 + (-42*a - 13*a + 18*a)*(0 + 0 - a).\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/(-18) - (-2)\/9. Suppose -7*g + 4*p = -3*g + 28, g + p = -5. Let d = y + g. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-2) + (-3 - (-186)\/30). Suppose 6*p - 3 = 3*p - 2*r, -3*p - 4*r + 9 = 0. What is the third smallest value in 2, x, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zibiszbs. What is prob of sequence zii?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-83)\/(-7) + (-11)\/(-77). Solve -l - 2*l = o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, -0.1, 52?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 287558658.\nAnswer: 2300469264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17024*m**2*v**3 - 105*m**2*v - 10*m*v**2 + 594 wrt v.\nAnswer: -102144*m**2*v - 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 976 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/15))\/v)\/v**(-4\/7) assuming v is positive.\nAnswer: v**(74\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -125652665 (base 7) in base 15?\nAnswer: -aa423b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15787 - 15803) + (57 - 0)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 19. Let o(q) = -q**3 + q**3 - 2*q**2 + 3*q**3 - s*q - 6. Let r(u) = -u**3 + u + 1. Determine o(d) + 6*r(d).\nAnswer: -3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 6*t + 14. Suppose -2*s - 2 = -2*z, -7*s - 2*z = -2*s + 5. Let o = -2 + s. Sort t, 2, o.\nAnswer: o, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7*a*a**1)\/((a**(1\/8)*a)\/a**(-1\/10)))\/(a\/(a\/a**(-6))*a*a\/(((((a\/a**(-3\/5)*a)\/a)\/a*a)\/a)\/a)*(a**(-2\/5)\/a)**(1\/54)) assuming a is positive.\nAnswer: a**(12313\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 3*u**2 - 2*u + 2. Let y(w) = -5*w**3 + 17*w**2 + 25*w + 371. Calculate -6*x(o) - y(o).\nAnswer: -o**3 + o**2 - 13*o - 383","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 16*p**2 + 39*p - 184. Calculate y(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -94*z - 288. Let c(b) = -19*b - 58. Let w(d) = -14*c(d) + 3*q(d). Differentiate w(i) with respect to i.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y + 17. Suppose -k + 23 - 3 = -y*j, 5*k - 151 = 3*j. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 5*j - 10 = 29*k, -4*k + 6*j = 36 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2239, 2231, 2219, 2203?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2 + 7 + 3 + 2*x. Let t be s(-5). Let r(d) = -4*d - 95*d**2 + t*d**3 - d**3 + d + 4 + 89*d**2. Calculate r(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/24 + v**3 - 2*v**2. Let m(o) = -4 - 2 - 1 - o. Give -7*k(z) - 6*m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 715739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 + 1346. Let j(w) = 261*w. Calculate j(h(p)).\nAnswer: 2349*p**2 + 351306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24934307 is divided by 11443.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68190491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/1 - ((-308)\/(-105) + -4). Factor 0*g + 0 + 2\/9*g**2 - 4\/9*g**3 - f*g**4.\nAnswer: -2*g**2*(g + 1)*(3*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77093.881 - -77042. Round x to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 25. Let h = -10.9966 + s. What is h rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -69*s**3\/7 - 11517*s**2\/7 - 251952*s\/7 + 21996\/7 = 0.\nAnswer: -141, -26, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 57. Suppose -v - i + 2 = -6*i, 0 = -v + 4*i + 2. Suppose 0 = r*j + s - 12, 2*s + 2*s = v*j + 12. Solve j*z = -2*l + 10, -23 = 5*z - 4*l - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1*13*(-22)\/(-1430).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (1 + sqrt(2299))) + sqrt(95)\/sqrt(20))**2*-2.\nAnswer: -6863\/2 - 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667\/145 - (5 + 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 - 11*w - 136. Calculate q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91.18 - -88.18. What is the nearest to 4 in 1, l, -2, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 6*q + 11*q + 15*q as s*q + i and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.337 and 25042 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 + -11 - (0 + 4 + -25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 45*l**2 - 3 - l**3 - 47*l**2 in the form d*l**2 + w + n*l + p*l**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -41*q + 1. Let g(w) = -w + 4*w - 2*w - 4*w. Calculate g(v(i)).\nAnswer: 123*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3006.000002143 - 3006. What is s rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + g. Let n = -4 - 0. Suppose 20 = -4*m - 4*y, 2*m + y = -3*y - 18. Let i be m\/(-2) - 2\/n. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c**3 - 22*c**2 - 5*c + 335. Is k(-11) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3068.9 - 3069. Which is the closest to v? (a) 2 (b) 2\/13 (c) -0.1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(13 + 6*h**2 - 13) + (-52*h + 46*h - 34*h)*(0 - 2*h + 0).\nAnswer: 86*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -0*q, 2*y + 5*q - 8 = 0. Let d = 0.2 + -4.2. What is the closest to -3 in d, 0, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 5. Let y be q(1). Does 4 divide 24 - y*(-1 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1845 + -617. Is (7\/(-14))\/((-2)\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238351 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 225\/(-90) + 1\/1*3. Let h = 134.025 - 134. Let y = h + 20.975. Put y, n, 0.1 in increasing order.\nAnswer: 0.1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -d + 14 + 6, -3*d - 4*b = -5. Let v be (-768)\/(-160) + (-1)\/d. Solve -12 - 8 = -v*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + (-1 - (1 + 0 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 + -688 + (16 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 940112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 0*c**2 + 1 - 2*c**2 - 12*c + c**2. Let i be p(-12). Solve -2*f = -i + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from tssttststttwsts?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114543441.55 + -114541643.5499233. Let v = 1798 - f. What is v rounded to 6 dps?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 7*g**2 + 10*g + 13. Let p be l(-6). Let c = -525 + p. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41548 greater than -41544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 55bc45?\nAnswer: 55bc3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 4. Let f be s\/(-18) + 2310\/(-54). Let k = f + 72. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.02 (b) 2\/11 (c) -84 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4287 - -6641. Suppose -12295 = -f - m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*1.0276\nAnswer: -0.82208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {o: 3, x: 2, t: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 1360998576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 5*o + 55. Sort 3, o, -1 in ascending order.\nAnswer: o, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 633\/17, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 0)*(2 - 1 - 3) + 6 + 0 - 4 + 10 - 1 + 21)*(-3 + 7 - 2)*(3 - 2*o - 3) - o + o + 2*o.\nAnswer: -142*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2 + -1)*6. Let w(v) = v**3 - 3*v**2 - 4*v + 6. Let q be w(4). Let m = q + o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 24.2. Let q = z + -0.3. Which is the nearest to 7? (a) q (b) 2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -1.62, 0.3, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.5 (c) -4\/7 (d) -1.4 (e) 0.1 (f) -1.2 (g) 11.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*v + 554 = -146 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40794 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -12. Is (59\/k)\/(7\/28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*c**2 - 514*c**2 + 1 - 1)*(2*c**3 - 2*c**3 + 2*c**3).\nAnswer: -1170*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*y + 13923 = -69297 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -3245\nAnswer: -16225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394 + -360. Let l(k) = 18*k - 7. Let v be l(7). What is the highest common factor of v and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*b**4 + 3*b**4 + 7*b**4 - 4 wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*4\/70 - 352\/(-7) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4675 + 1347 = -4*r. Let k be r\/182 - (-8)\/(-14). Let d(m) = -5*m + 6. Give d(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47446 - 47535.223. Let p = 0.223 + n. Let m = p + 88.99999894. What is m rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99238*c - 99238*c - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/y**6 assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 - 2*d**2)*(5 + 0 - 4) + (40*d + 82*d + 9*d)*(-4 - 1 + 6)*(3*d - 3*d + d).\nAnswer: 129*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905134415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1 + (-4 + 4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(128) - (sqrt(128) + 4 + sqrt(128) + 1 + sqrt(128))) + sqrt(128) + 4 + 5*(1*(-2*sqrt(128) + sqrt(128)) - 1*sqrt(128)*-2)))**2.\nAnswer: 256*sqrt(2) + 8196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*g - 4*x + 7, 3*g - 15 = -3*x. What is the second derivative of -21*q**4 + 8*q - q**g + 21*q**4 - 6*q**5 wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 369\/5 + -74. Let s be (-3)\/((-24)\/(-148))*12\/7. Let z = s - -32. Is f at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -2 - -1 - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -1100, -1561, -1914, -2159?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2678?\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 45. Let t be b(-7). What is the derivative of 7*u**4 - 100 + 278 + 4*u + t*u - 31*u + u wrt u?\nAnswer: 28*u**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/180 and 13\/35.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((1 + -2)\/(-2))\/(17\/((-68)\/7))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w + 102 = 3*b, 2*b = w + 67. Let j = b - 14. Suppose -5 = -2*u + 5, -3*x = -5*u + j. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21) + (-3)\/21*-39?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - 2*z**3 - 3*z**4 - 3*z**2 + 53 + z + 2*z**4 - 4*z in the form s*z**2 + i*z**3 + h*z**4 + g*z + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b + 3. Let v(c) be the third derivative of 0*c + 0 - c**2 - 1\/12*c**4 - 1\/6*c**3. Suppose w = 2*w + 2. Give w*m(j) - 7*v(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1997856020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 338 and 4?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 359*t + 13550. Calculate f(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diwddwipwnwww. Give prob of sequence ii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93\/865 + 11273\/7785. Let -a*g + 2\/9 + 4\/3*g**2 = 0. What is g?\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 28.2. Put 0.7, l, 2, 1 in descending order.\nAnswer: 2, 1, 0.7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 561 - -234. Let h = x + -794.9681. What is h rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Suppose p*x - 10 = -3*f, 0*f = -x - 3*f + 2. Is 2 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 387 + 27. Let j = -42695\/34793 + -1\/6326. Calculate the common denominator of j and (-188)\/z*(-1 + -2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -1, -4, -3 in increasing order.\nAnswer: -5, -4, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 346411 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 26*i**2 + 3*i - 24. Let f be g(13). Suppose 0 = -7*x + 1247 - f. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 144*i**3 + 1416*i**2 + 7488*i + 8112.\nAnswer: 3*(i - 26)**2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 1\/2, 13\/3, -1.58, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 11\/2, 2\/13, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9348587 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:09 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8670.629 nanometers to kilometers.\nAnswer: 0.000000008670629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 q when three letters picked without replacement from ceeqqqqeecec?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41\/28 + -114\/7. Let o = 169 + -213. What is the common denominator of n and ((-2)\/4)\/(o\/(-412))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15 = 2*u + 5*m, 9 = u + 2*m. Let z(d) = -d + 5. Let p be z(u). Suppose -q + s + 11 = p, 4*q = 3*q - 4*s + 16. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4674)\/(-123) + -165 + 151?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 1. Suppose 12*s - 5 = 7*s. Let m be p(s). Let h = 4 + -5. Does h = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjyy when four letters picked without replacement from jhhaayyjhahh?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034106009 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*j + 29, j = -5*u - 3*j + 17. Solve 3 = -u*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -23.5. Let d = h - -13. What is the fourth smallest value in 1\/7, 12, 1\/6, d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 10*l - 17. Let f be a(12). Let m(v) = -v**2 + 9*v + 7. Is m(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281242640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) + sqrt(11)*2)*-5 - (sqrt(495)*3 + sqrt(495))\/sqrt(5).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -6*x. Calculate the least common multiple of 2 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a + 198006 = -3*d, -495008 = 5*a + 4*d. Round a to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1203, -1063, -927, -795?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5436)\/4832*16\/(-42)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 106*v - 1035. Let i be c(9). Solve i = 3*d + 3312 - 3333 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*y - 44 = 0, 0*u + 5*u - 138 = -3*y. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o + 0*o - 35 + 23*o + 2*o**2 - 7*o - 3*o. What are the prime factors of f(-20)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11298 divided by -807?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153 - 97. Let n be w\/26 + (-24)\/156. Solve 0 = -a + z + 4, -n*a + 3*a - 10 = 4*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(132) + -2*sqrt(132)) + sqrt(132))\/(sqrt(150)*2))\/(sqrt(18) - -2*sqrt(18)*2 - (-2*sqrt(162) + sqrt(162))\/sqrt(9)).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 185, 179, 173?\n\"Answer: -6*o + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -5*i + x, -3753*i + 3752*i = -2*x + 21. What is the fourth biggest value in -2, 0.12, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*h + (2 + 2 - 5)*(-2*h + h + 3*h))*(h**3 - h**2 + h**2).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28*(-2)\/(-4) - 33\/11. What is the greatest common divisor of n and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 18. Round p to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20*i + 24*i = 119589, -5*h - 2*i + 119587 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*k = s - 20, 2*s - 4*k - 4 = 0. Let u(c) = -c**3 + 5*c**2 + 4*c - 6. Let p be u(s). Let t = p + 31. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:31 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28.612646271968 and -5.\nAnswer: 23.612646271968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 7*t - 3. Let m be u(-6). Suppose -m*w = -7*w. Solve 0 = -w*p - 5*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1386 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300510 and 3240.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 - 587 = -78*w - 133. What is the highest common factor of w and 14410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-9 + -3 + -164). What is the greatest common divisor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300 = 3*n - 23*n. Let s(c) = -55*c + 65. Let j(p) = -5*p + 6. Determine n*j(i) - 6*s(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/6)*p\/(p*p\/(p\/(p\/p**3)))*(p*p\/p**(1\/3))\/(p*p\/(p*p*(p**(-1\/6)\/p)\/p)))\/(((p\/(p\/p**(-3\/7)))\/p)\/(p\/(p\/p**5)*p*p))**(4\/13) assuming p is positive.\nAnswer: p**(1436\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/6 + v**3\/3 - v**2 - 2*v. Let n be q(-2). Let j = n - 1. Let w(p) = p - 5. Let r(g) = -1. Give j*w(l) - 4*r(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 9*w - 50. Let v = 6 + w. Suppose 5*m = -3*m + v. Solve 2*h = m*a + 5*h + 21, -a + 2*h + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 143 - 54 - 52 - 48 + 4*u. Suppose -3*n + 0*n + 6 = 0. Let c(s) = 2 - 2*s - 4 + 3*s. What is n*o(w) - 11*c(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 2732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, -3, -109?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 7) to base 8\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5709374 and 0.39.\nAnswer: -2226655.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37176 and 20137.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 7*o**2 + o - 6. Let d be j(7). Let n = 1 - 2. Let g = 2 - n. Sort g, 5, d in decreasing order.\nAnswer: 5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 22 - -88 - 84.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -1, 3, -14, -1298 in decreasing order.\nAnswer: 3, -1, -2, -4, -14, -1298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/15*(7\/4 + -4). Let o be 4 + y + 5 + 21. Let q(i) = i**2 + 4*i + 3. Let w be q(-4). Calculate the greatest common divisor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 5)*((2 + 2 - 2)*(-1 + 1 - b) + 5*b - 4*b + 0*b + b - 2*b + 3*b - b - 9*b + 0*b).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378603629*q**6 - 69204391*q**2 wrt q?\nAnswer: 45432435480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*k + 52 = 2, -5*t - 2*k = -96. Let q be t\/8*(-56)\/(-20). Let x(r) = 10*r + 12. Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -7025*k**9\/504 + k**5\/60 - k**4\/24 + 799*k**3\/6 + 3030*k**2. What is the third derivative of s(w) wrt w?\nAnswer: -843000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 - 111 - -6) + -3 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2647 + -5?\nAnswer: -2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 33. Suppose 12 = 18*b - 22*b, 0 = 4*a + 5*b - 129. Calculate the highest common factor of a and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (182\/(-42))\/((-7)\/3 - -2). Find w, given that 16*w**2 - 34*w - 32*w + 13*w - 2*w**3 + 32 + l*w = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3732185 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let o(d) = 0*d - 5 + 3*d + 3*d - 4*d. Determine y(o(p)).\nAnswer: -12*p**2 + 60*p - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + s - 104 + 22 + 68. What is x(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -619 + 4350?\nAnswer: 3d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9*-47\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/((-3)\/(-12)). Let i be 714\/(-10) - 5\/(75\/f). Let g = i - -80. Solve 9 = 5*x + l, -x + l = 3*x - g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -4\/9 (c) 1\/4 (d) -3\/4 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.6 and 3.82.\nAnswer: 28.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.868 - -0.93. Let m = -0.038 - g. Which is the nearest to 1? (a) 7 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34389?\nAnswer: 3, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 2*u + 8. Let n(b) = -2*b**2 - b - 3. Let v be 2\/(-1*1\/(-4)). Give v*n(q) + 3*m(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*q - 60*w + 61*w, 3 = -q + w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 30*w - 13. Let p be g(14). Let f(d) = d**2 - d + 3. Let i be f(-6). What is the greatest common factor of p and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.032 and 1003473.\nAnswer: 32111.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20045, -20082, -20119, -20156?\n\"Answer: -37*s - 20008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d314 - 28?\nAnswer: 6d2ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-9)\/1) + 85\/75.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:03 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/210*7\/2. Which is the nearest to -2? (a) 2\/23 (b) 1 (c) t (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/489 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -33*v - 15. Let i be 6\/(-9)*(-9)\/(-2). Let a be h(i). Let t be 2\/(-8) - 203\/a. Is t <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 12) to base 10\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-330)\/(-25) - 107\/65?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 4. Let k be h(3). Let o(i) = -3*i**2 + 0*i**k + 4*i**2. Let g(q) be the first derivative of 4*q**2 - 31. Determine g(o(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2145 and -13\/75.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155096834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 348*k**2 + k - 2. Let g(o) = -346*o**2 - 2*o + 3. Calculate -4*a(d) - 3*g(d).\nAnswer: -354*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -146. Suppose -3*m + t = -60. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c. Let g(q) = q**2 - 419. Give g(h(p)).\nAnswer: 100*p**2 - 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21152662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 11*w = -848 + 904, -7*g - 5*w - 47 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109383.\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1700\/(-102)*(-6)\/4. Solve 2*q + 12 = b + 7, 0 = 3*q + 5*b - n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.305668036 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337365 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.76 - -0.16. Let m = -1 + 1. Let k = m + x. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46115 (base 9) to base 15\nAnswer: 9178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2638129*q**2 - 6528163 wrt q.\nAnswer: -5276258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 94*c - 3036.\nAnswer: 2*(c - 22)*(c + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7283 - -7283. Solve j = -10*h + 7*h - 5*a - 31, -5*h + 3*a + 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 61*l = 57*l - 11032, 3*i - 8272 = 2*l. Calculate the remainder when i is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 150. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -219\nAnswer: 5\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c (base 16) in base 3?\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -24.1 (c) 47\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -5 (b) 2\/7 (c) 15 (d) 547\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4322*l**2 - 398*l + 802*l - 404*l.\nAnswer: 4322*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j + w, -j + 4 + 1 = w. Suppose -2*s + 2*g + j = -s, 5*g - 25 = -3*s. Suppose -2*k - k = -45. What is the greatest common factor of k and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -32 (b) -7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8165 in 2, 75.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -8, -1, 4213, -3.\nAnswer: -8, -5, -3, -1, 0, 4213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 18, g: 1}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/2)\/l*l)**10*(l\/l**(-2\/3))**(-2\/17)*((l*l**(3\/7))\/l)\/(((l**(-3\/5)*l*l)\/l)\/l*l)*l\/((l*l**(-4))\/l)*l\/l**2 assuming l is positive.\nAnswer: l**(33616\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1750 - -227. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.96, -4, 6?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -8b6?\nAnswer: -8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j = 6. Suppose p = -2*p - 2*t, -5*p = -j*t. Suppose p*c - 27 = -3*c. Calculate the remainder when 33 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52905?\nAnswer: 3, 5, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, j: 3, v: 3, q: 2, m: 3}. What is prob of picking 2 q and 1 f?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -25.5. Let u be 4\/(-92)*-2 + 29\/(-69). Which is the nearest to u? (a) 1 (b) 0.05 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11824, -23649, -35466, -47275, -59076?\nAnswer: -70869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49981 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 323307, 1292800, 2908615, 5170746, 8079187?\n\"Answer: -c**3 + 323167*c**2 - c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + 17. What is h(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353185 is divided by 27153?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m - 3 = 3*a, 0 = a - 3*m - 7. Suppose -2*u = 2*u. Let w = u - a. Sort w, 0, 1 in increasing order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74*1.29\nAnswer: -95.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 14368620?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 1950.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/(1\/2). Let q be (-6)\/(-3)*u\/10. Suppose -3*z + 54 = 45. Sort -10, z, q in descending order.\nAnswer: z, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 316 - 208 - 5*j - 4.\nAnswer: -5*j - 514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s + 0*s)*(-1 - 3 + 8)*(23*s - 10*s + 13*s).\nAnswer: 416*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**7\/7140 - 19*k**6\/3060 - 4*k**5\/51 + 25*k**4\/51 - 23*k**3 - 77. Let l(x) be the third derivative of u(x). Factor l(i).\nAnswer: -2*(i - 1)*(i + 10)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y - 75. Let d be 32\/(-40)*y\/2. Let t(v) = -v + 2. List the prime factors of t(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204458608 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*b**3 + 2*b**2 = 0. Calculate b.\nAnswer: -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from qqf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173 + -2?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -28634 and -28639 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5335 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 163.46, -2\/11.\nAnswer: -2, -2\/11, 0.2, 163.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48176938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6413 + 0.1447. Which is bigger: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1203498\/24)\/((-5)\/(-20)). Let m = -60174971\/300 + a. Find the common denominator of 119\/24 and m.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11189*l = 11627*l - 9975 - 12801 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-20)*o)\/o))\/o**6)\/(o**(1\/56)\/o*o*o**20) assuming o is positive.\nAnswer: o**(-281\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0403\nAnswer: -0.0806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujrjujurrjrrrjuujr. Give prob of sequence jr.\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5\/3, -1\/4, 0.2, -134.5 in increasing order.\nAnswer: -134.5, -5\/3, -1\/4, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171788 is divided by 1087.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = -6*x + 606, 29*x - f = 31*x - 32 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4860508.7 to the nearest 100.\nAnswer: -4860500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 509379?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepq. What is prob of sequence epe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o + 10*o - 9*o - 48*o. Let h be i(-1). What is the greatest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 11 = 5*s, 5*s - 4*p + 35 = p. Let y(q) = -34*q**3 - 6*q**2 - q - 3. Let j be y(s). Let o = j + -822. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1603236 and -107\/660156.\nAnswer: 11222652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 9*q - 10. Let a be f(-7). Suppose 3*d - 16 = -22*t, 0 = -2*t + 12*d - 14*d - 2. Solve 3*b - 2*p = -3, t = a*p + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 - 318332*m\/11 - 8275280\/11.\nAnswer: -2*(m + 26)*(m + 159140)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4375*c**3 + 1225*c**2 + 2450*c. Let a(x) = 3*x**3 - x**2 - 2*x. Calculate -2450*a(s) - 2*z(s).\nAnswer: 1400*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 476, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.3 + -13. Let u = 0.3 - m. Which is the smallest value? (a) 2\/9 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w - 43. Let g(y) = -5*y + 14. Determine -6*c(t) - 17*g(t).\nAnswer: t + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 + -102. Let n(w) = -w**3 - 6*w**2 - 9*w + 4. What are the prime factors of n(a)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 6280 + 5456 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -9 - 8 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgm. Give prob of sequence gq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78414, -620672, -2092512, -4958724, -9684098?\n\"Answer: -77465*m**3 - m**2 - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 2*v + 1. Let k(b) = -1 + 2*b + 5*b**2 - 4*b**3 + 5*b**3 - 8*b. Let s be k(-6). Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7189582.\nAnswer: 2, 31, 61, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 33*j + 31 = -4*x, 3*x + 3*j = -27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:57 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140177 and 981239.\nAnswer: 981239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32292961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x - 18. Let y be s(1). Let h(c) = c**3 + 8*c**2 + 11*c - 9. What is h(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-461 - 25*q + 461)*(0 + 0 - 1) + (0*q + 0*q + 2*q)*(0 + 2 + 0) as w + o*q and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -3845*a**3\/6 + 2237*a**2\/2 - 2084*a. What is the first derivative of n(p) wrt p?\nAnswer: -3845","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 1}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7 = u, -u = 3*u - 3*f + 29. Let z(i) = -i**3 + 1. Let o(w) = 3*w**3 - 3. Let b be (0 + 118\/(-8))\/(4\/(-16)). Let g = b - 61. Give g*o(y) + u*z(y).\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 - 17 + 78*a - 133*a + 63*a.\nAnswer: 8*a - 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 10*h + 9. Let k be s(-9). Let x(c) be the third derivative of 0 - 1\/72*c**4 + 0*c + k*c**3 - 1\/180*c**5 - 2*c**2. Solve x(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20 + 0*q**2 - 20 + q**2. Let r(b) be the first derivative of b**3 + 8. Calculate r(t(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -70\/29 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 3, g: 1, u: 7, e: 1, o: 7}. Give prob of picking 1 g and 3 o.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.845 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6681438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 52) + (2 - -5) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6749149 (base 10) to base 15.\nAnswer: 8d4b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2 = -5*f - 14, -f = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + l)*(7 - 4 - 1)*(3*l + 6*l - 3*l)*(24 + 75 - 17).\nAnswer: -984*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4442, 0, -2, 12, 7, -4.\nAnswer: -4, -2, 0, 7, 12, 4442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16489*s**4 + 1916*s**3 - 77506318*s**2 wrt s?\nAnswer: 395736*s + 11496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 23 = -3*u, -p + u - 6*u = -10. Suppose -p + 0 = -5*i. What is the derivative of -4*d + 2 - 3 - i + 1 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 7*n**3 - 16*n**2.\nAnswer: n**2*(n - 2)*(n + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 412 and 2?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c**3 + c**2 + 10*c**3 - 15*c**3 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 - 2*j - 1. Suppose 2*i - 3*z + 13 = 3, i + 8 = 3*z. Calculate the remainder when p(2) is divided by -7*(88\/(-42) - i\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11208 (base 12) in base 7?\nAnswer: 123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 23. Let p = -1049281 + 1049242.99784. Let b = p + n. Round b to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32\/(-80) - (-1926)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 60 = -13*q. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/((-4)\/(-4)))\/(-1). Let k = 1 + o. Suppose -2*x = -5*x + 36. Solve -x = -k*p + 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - 5 + 5 + (0*r + 0*r + 2*r**3)*(-r + 0*r - r) + (3*r - 2*r + r)*(13*r**3 - 227 + 227) in the form y + t*r**2 + p*r + h*r**4 + w*r**3 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18632, -18629, -18624, -18617?\n\"Answer: t**2 - 18633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 9 - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**8\/2016 - l**7\/1260 - l**6\/540 - l**4\/12 - 2*l**2. Let c(k) be the second derivative of q(k). Solve c(b) = 0 for b.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*w**4\/15 + 143351166*w**3\/5 - 24574508*w**2 + 105319352*w\/15 - 3343472\/5 = 0 for w.\nAnswer: -626901, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3727, -3731, -3737, -3745, -3755, -3767, -3781?\n\"Answer: -q**2 - q - 3725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027743 rounded to 7 dps?\nAnswer: -0.0000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155\/7 or -21?\nAnswer: -155\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m. Suppose 0 = r - 3 - m. Suppose 4 = -4*i, c + 2 = r*i - 0*i. Let g(n) = -n**2 - 3*n + 3. Determine g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 8:09 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-30)\/(-5)) - 4\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**4*z + 19123*t**4 + 2*t**3*z + 7*t**3 + 90*t**2 + 7*t*z + 680*t + 2*z wrt t.\nAnswer: -48*t*z + 458952*t + 12*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwb when three letters picked without replacement from bcwpgcp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 9*z - 5*z = -10, 3*n + 35 = -4*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103 - -103200212232?\nAnswer: 103200211123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) -16\/3 (c) 9 (d) 0.7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c94223 (base 13) to base 14.\nAnswer: -8aca5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k + 0*k + (0 + 0 + 2 + (-4 - 2 + 7)*(3 + 2 - 6))*(-3*k - 3*k + 5*k))*(3*k**3 + 3*k**2 - 2*k**3 - k**2)*(302*k - 2643*k + 967*k).\nAnswer: -4122*k**5 - 8244*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -6\/13, -1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3439578 is divided by 237?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 48. Give v(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 29.797051104?\nAnswer: 26.797051104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53715 and 107430?\nAnswer: 107430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/4 - 5*t**3\/6 - t. Let q(g) = 5*g**2 - 8*g. Let i(j) = 5*q(j) - 8*r(j). Let d(o) = -4*o. What is i(d(y))?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/11 - 2373*k\/11 + 4750\/11 = 0.\nAnswer: -2375, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 5*b + 4. Let p(m) be the third derivative of -m**4\/24 + 13*m**2. Let y(j) = -c(j) + 3*p(j). Factor y(q).\nAnswer: -4*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -708 - -3979. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 2, r: 1, b: 2, m: 1, p: 6}. Give prob of picking 1 i and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 - 563 = 157*r + 1218 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3)\/1 - 19. Sort -3, -0.3, h, 5 in increasing order.\nAnswer: h, -3, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2637066nm?\nAnswer: 0.00000002637066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 29*r - 165. Let t be k(21). Solve -2*q = 2*c + 8, -2*c + 0*c = t*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 951.6 to the nearest ten.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from kkzzgegzezekggkg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - (-2 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (1 - 7) - 4 - (8 - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91450 and 174109?\nAnswer: 269868950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21132489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10377, -10405, -10433, -10461?\n\"Answer: -28*t - 10349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 104 + 32 = 0. Suppose -y*l + 722 = -256. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 + (-52)\/(-14). Suppose 4*v - 2 - 2 = 0, 5*m = -c*v + 239. Suppose -3*a - 5*s + 63 = -2*a, s - m = -a. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssidsiciisidcssdsiic. What is prob of picking 1 i and 1 s?\nAnswer: 49\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2342, 2352, 2376, 2420, 2490, 2592, 2732, 2916?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u**2 - 2*u + 0*u**2 - u**2 + 3*u**2 + (2*u - u - 3*u)*(u + 0*u - 2*u) - 3*u**2 - 2*u**2 + 4*u**2 - 2*u**2 - 1 + 1 + 4 + 54*u - 1 - 2*u**2 - 50*u.\nAnswer: -3*u**2 + 4*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:48 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12591, 50221, 112939, 200745, 313639, 451621?\n\"Answer: 12544*k**2 - 2*k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26700 and 60?\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83038?\nAnswer: 2, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 3*f + 6 + 11*f - 1 - 11*f - 5*f.\nAnswer: 3*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92615*c**4*t**3 + 2208*t**3 - 4*t wrt c?\nAnswer: 370460*c**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.8544242 + -472\nAnswer: -473.8544242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -4. Let z(b) = -3*b - 1. Determine z(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5 + 1\/5*d - 1\/5*d**3 + 1\/5*d**2 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3142\/27 + -126283\/1080. Calculate the common denominator of -49\/200 and m.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 62 = -5*k - 4*z - 22, 3*k + 3*z - 39 = -0*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -2*i. Let r = -2.03 + 0.03. Let y = r + 1.5. Which is the closest to i? (a) y (b) 5\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 19*b**2 - 10*b - 33. Let p be x(-5). Let f be 40502\/6 - 1\/3. Suppose p = -6*k + f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126428\/2305 at most -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-15)\/k*k*k**(-35)\/k*k assuming k is positive.\nAnswer: k**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5265 and 130768560.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 - 3*s**2. Let q(h) be the second derivative of h**3\/3 - h. Determine q(x(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99582210 a multiple of 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.156*28092.\nAnswer: 453854.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000147599 to 7 decimal places.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 (base 13) in base 12?\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 9*t**2 + t - 9. Let h be w(-9). Let c be (-8)\/(-5)*3\/(h\/(-15)). Suppose -c*q + 1494 = -6718. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179 - 112 = -97*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18267 + 621025\/34. Calculate the common denominator of -37\/6 and q.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 4897?\nAnswer: 24485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11777184 divided by 12?\nAnswer: 981432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2865, 2864, 2863, 2862, 2861?\nAnswer: 2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14297256 + -4837.\nAnswer: 14292419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - w + 3*w. Let z(v) = 3248 + 0*v - 3248 - 6*v. What is z(n(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 942982 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((10\/592)\/5). Suppose -464 = -5*x + 4*i, x + 2*i = -2*x + y. 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: What is prob of picking 1 w, 1 v, and 1 m when three letters picked without replacement from vmfmfmmw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 7*f + 5. Let l be j(-4). Solve -5*r + 20 = 0, -2*w - l = -3*w - 5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1658612 + 87?\nAnswer: 1658710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 47 = 2*j, -4*a + 59772 = 2*j. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73094273.\nAnswer: 7, 19, 463, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:41 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-34)\/2)\/(2\/(8 - 0)). Let h = y - -176. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, h: 8, s: 4, o: 4}. What is prob of picking 2 s and 1 j?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 29*f - 5*y + 380, -518 = -4*f - y. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b. Suppose -2*h - 11*w - 4 = -9*w, -2*w - 9 = -3*h. Let j(q) = -2*q**2 + q + 2. Determine h*j(f) - 3*a(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 8 = -4. Is -2 + y - (-1 + -1583 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 91161 - 268625 = -4*k, -2*k + 88711 = -5*g. What are the prime factors of k?\nAnswer: 11, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300042 (base 6) in base 12?\nAnswer: -11622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 11*f**2 + 12*f - 6. Suppose 6*s = 3*s + 30. Does 4 divide w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 46075733128856?\nAnswer: -46075733128856.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 - 126 - 118 - 18*g**2.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 414*b**2 - 206*b - 165. What is c(104)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1690056506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -29*x**2\/2 - x + 1. Let u be s(-1). Suppose -6*g - u = -13*g. Solve -5*l = 2*j + 9, -g*l = 5 + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 149. Let s = l + -6. Solve 0 = -a + s*y - 0*y + 5, -3*y = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*v + 134 = 5*w, -102 = -815*v + 818*v - 3*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpw when three letters picked without replacement from {w: 2, a: 1, u: 2, p: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/60 and 47\/13125.\nAnswer: 52500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1839343, -3679525, -5519707, -7359889, -9200071?\nAnswer: -11040253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18)*(-330)\/55*(-14)\/(-8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/1 + -3 - -1. Let i = 19 + q. Let l(f) = f**3 + 2*f**2 + 3*f - 4. Let p(t) = t**3 + 3*t**2 + 5*t - 7. Give i*p(y) + 5*l(y).\nAnswer: 2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:05 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 369. Calculate the remainder when 88 is divided by f(80).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 16*h**2 + 114*h + 9. Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.1, 5\/6, 2 in descending order.\nAnswer: 2, 5\/6, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 3*o - 4*o - 10*o - 19*o - 5*o + (6 - 9 + 8)*(2*o - 2*o + o) in the form g*o + y and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212464 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-68)\/6 - (-16 + -7 + 19) and 1\/(-6) - 6681\/(-153).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 1763 + 7058 - 1770 - 1761 - 1764.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 512 + -531. Let j(k) be the first derivative of -7*k**2\/2 - 6*k - 1. Is j(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z - z)*(-z**2 + 0*z**2 - 2*z**2) - 3*z**3 + 3*z**3 - 2*z**3 - 2*z**3 - 2*z**3 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:41 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/4 + (-1*11\/(-660))\/(45\/21195)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let b(f) = -3. Let t(h) = -b(h) - 3*w(h). Let j be t(-10). What is the greatest common divisor of 22 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430160 and 42480?\nAnswer: 4290480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 12. Find the first derivative of 0*t**4 + 1 - 3 + t**4 + 2*t**k wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94 + (-63 - 24))*((-4 - -1) + 10).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(68) - sqrt(68)*2)**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2*b - b + b)*(16 - 25 + 14).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*b - 34*b + 73*b - 35)*(2*b - b + 8*b)*(-4*b**2 + b**2 + b**2) as c*b**2 + l + z*b**3 + q*b + d*b**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(5\/18)\/((-52)\/(-80262)*245)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66 - -210?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329.6 + 330.2. What is the closest to 6 in 0.2, v, -3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.119 + 0.319. Let r = 4.3 + -4. What is the closest to -2\/7 in 1\/10, r, v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9546 - 3*y + y**3 + 2*y + 9548. What is i(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.38 times 0.0016\nAnswer: 0.048608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-21 + 12 - 26)*(-4*t + 26 - t - 31) to the form i*t + j and give j.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3591)\/(-252))\/((-4)\/(-16)). Let x = -13 + -42. Let g = x + s. What is the remainder when 7 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*j - 17 = w, 13*j + 815 = -w + 868 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 not equal to -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*s - 0*c - 70, -812*s + 817*s + 8 = 3*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351338 and 10790?\nAnswer: 145805270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18714 by 6238.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 144 + -45?\nAnswer: ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s + 2*s**2 - 1\/15*s**5 + 2\/3*s**3 + 2 + 0*s**4. Let y(z) be the second derivative of m(z). Factor y(h).\nAnswer: -4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 12:19 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20*v - 11. Let y be l(5). Suppose 5*h + y = 2*q - 106, -2*h = 4*q - 426. What is the greatest common factor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 10 = -10*q. Solve 3*p + 3*r = -2*r - 29, 5*p - 5*r - q = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 1. Let p be j(-1). Let m be (18\/12)\/(p\/92). Suppose 0 = -3*o + 4*h + m + 27, -o = -2*h - 27. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a week in minutes?\nAnswer: 92736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 8. Suppose 5*l = 3*q - 14, 4*q - 14 = l + l. Let u = l - g. Solve 20 = -u*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -40*i + 32*i. Find the second derivative of -66 - 37 - i - 59*f**5 - 2*f - 26 wrt f.\nAnswer: -1180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -359a - -32909?\nAnswer: 2a31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 6. Let h be m(5). Let x = 2 - 2. Suppose -a + 11 - h = x. What is the remainder when 18 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1590 and 1\/1431?\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*t + 3*z, 6857*z = -4*t + 6859*z - 8. Let c = 8 + -4. Solve t*k = -4*i - 22, -c*i - 30 = 2*k - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**2 - 15*z + 16. Let u be y(1). Suppose -13*g + 29 = 2*m - 16*g, u = m - 2*g. Calculate the remainder when 60 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25564*d**2*g - 1426*d**2 + 6*d + 1020440*g wrt d?\nAnswer: 51128*g - 2852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 - -9) + -17 + 9 - -48?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let u = -12.3 - -4.2. Let t = -8 - u. Which is the closest to t? (a) -2 (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let q = 191 + -202. Calculate p(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2185167, 2184998, 2184829?\nAnswer: 2184660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1940, 3877, 5820, 7769?\n\"Answer: 3*m**2 + 1928*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/(o\/o**(-26))*o*o*o)\/o))\/(o\/(o\/o**(-21))*o)*(o\/(o\/((o*o**(2\/3)*o*o)\/o)))**(-17\/2) assuming o is positive.\nAnswer: o**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*n**2 + 30*a**3*n + a**2*n + 279*a**2 + 12*a*n**2 - 75*a - 37*n + 11 wrt a?\nAnswer: 6*a*n**2 + 180*a*n + 2*n + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2 + (5\/(-5) - 65). Let h = v + 67. Let c(b) = 3*b + 276 - h*b - 272. Let d(j) = 1. Calculate c(f) - 4*d(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 - 5*i + 2. Let n be g(3). Let c = n - 2. Suppose 30*s = 260 - 76 + 116. Calculate the remainder when s is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 + -185. Let b(r) be the second derivative of 0 - 2\/3*r**4 + 2\/3*r**3 + 6*r + 0*r**n. What is the second derivative of b(a) wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83355405.\nAnswer: 3, 5, 7, 661, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**2 - 3 + 6 + 2.\nAnswer: 17*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:03 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.21935424 to three decimal places.\nAnswer: 37.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50*-0.0376\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y. Suppose 4*j - 4 = 2*j. Let x = -224 - -229. Calculate the smallest common multiple of q(j) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*y - 1. Let u(a) = 13*a**2 + 37*a + 3. Let b(q) = 3*q**2 + 9*q + 1. Let g(p) = -9*b(p) + 2*u(p). Let j be g(y). Solve 2*v - 1 = j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 15*r**4 + r**2 + 2*r**4 - 11*r**3 - 6*r**4 + 38*r**3 - 2 to l*r**3 + q*r + w*r**2 + y*r**4 + j and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*b - 16, 3*u - 2*b - 13 = -2. Let t(m) = -8*m**2 + 20. Let j(c) = c**2 - 3. What is u*t(q) + 20*j(q)?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let v = q - -1. Let u = 1.31 + -0.31. Which is the closest to u? (a) v (b) 1\/4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -70.6.\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-11 + -20 - -18 - -33)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004468926635 rounded to 6 decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905234153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -184. Let a = -103.26 - -0.26. Let s = a + m. Is s at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20531 - 3616?\nAnswer: -24450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218706\/391037 + 27\/2399. Let p = 22939\/2934 + d. Calculate the common denominator of p and 10\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*19.87501\nAnswer: 1192.5006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 232284886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10053333 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 18 + 18 to the form z + u*s and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 63 + 12 = -3*x - 9 - 9, 34 + 24 = -2*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1859 (base 10) to base 2\nAnswer: -11101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.3399 + -37.3. What is t rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 22*u**2 - u + 73. Calculate i(-22).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 112056603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 11) to base 7.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428*k**2*v**2 + 1252*k**2 + k*v wrt v?\nAnswer: -856*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -123c (base 13) in base 6?\nAnswer: -15550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b + 15*b + 12*b**3)*(-5*b**2 - 11*b + 11*b).\nAnswer: -60*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6765.8 rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -195, -220, -245, -270, -295?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34 - 40 - (2 + -11). Let b(w) = 0*w**3 + 2*w**3 - 3*w + 3 - c*w**3 - 8*w**2 + 2*w**2. What is b(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50609286 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64095305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 6*l**2 + 8*l - 7. Let s be k(7). Suppose 5*f - f - 332 = s. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 15, 22, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*h = -16*h - 6900 - 2322. What is the highest common factor of h and 13197?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/54 and 181\/8985450?\nAnswer: 80869050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -10. Let y = 0.6 + -0.1. Let j = -0.3 + y. Is g less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 321 + -292.6. Let m = -27.4 - 0.6. Let i = m + c. What is the nearest to -4 in i, 3, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467980813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20 and -1*2\/6 - (-1204)\/(-280)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 + -191.00127. What is c rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-50))\/((-2)\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -0.1. Let z = -1052\/6825 - -2\/6825. What is the nearest to 0 in z, p, 32?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a - t = -33, a + 2*t - 24 = 0. Let f be a\/(462\/(-55)) + (-2)\/(-3). Do -2\/31 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 8862.09.\nAnswer: 8861.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/3))**37\/(p**(1\/9)*p**(-4)) assuming p is positive.\nAnswer: p**(479\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.002 (b) 1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11098, -22146, -33194, -44242, -55290, -66338?\nAnswer: -77386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38938536 and 550368.\nAnswer: 155754144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3446905 times 0.57\nAnswer: 1964735.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 26*y**2 + 403*y + 145. Determine g(37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 622507.2l in millilitres?\nAnswer: 622507200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/35 + (-237222)\/(-63). Let p(n) = -12066*n**2 - n + 1. Let k be p(1). Let g = k + i. What is g rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1917*u + 7. Let d(g) = -443*g - 2. Let w(v) = -13*d(v) - 3*y(v). Let l(m) = 9*m + 4. Determine 3*l(r) - 4*w(r).\nAnswer: -5*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 - 8062*b - 16248961 = 0.\nAnswer: -4031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeetjeeejeeeeeeett. What is prob of picking 1 t and 2 e?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 362241, 21 in increasing order.\nAnswer: 5, 21, 362241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-14)\/252*4*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000061378905 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3563 - 0.0563. What is the closest to -2\/121 in c, 4, 3, -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u - 12. Put 3\/2, u, 0.2 in descending order.\nAnswer: u, 3\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006082 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 800473 or 800470?\nAnswer: 800473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 31*j**2 + 1377*j - 9550. What is l(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -1\/12*l**4 + 69*l**2 - 1\/10*l**5 + 0*l + 0 + 1\/120*l**6 + 5\/6*l**3. Determine j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1065 + 1060.13. Let t = 0.13 - x. Let p = -0.8 - -1.1. Which is the biggest value? (a) p (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 9) to base 15\nAnswer: 12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313 - 1968 - 1809 + 1082 + q**2 + q to the form k*q**2 + v + s*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.222 - -0.278. What is the nearest to -1\/6 in w, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10 - 2) + 6 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 266 = -2408. Suppose -11*w + 6*w + 479 = 2*y, -2*w = y - b. Is 58 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-6)\/(-3) - -5. Suppose -3 = 4*n - 3*n, -n = 2*w - 1. Solve -2 = -2*z + w*b, -b + 8 = 4*z - c*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:06 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*w**3 + 307937*g*w**2 - 100824417*w**3 + 90*w**2 wrt w?\nAnswer: 6*g - 604946502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 394 + -391. Let w(u) = -u**3 + 11*u - 2. Let r be w(c). Let f(i) = 7*i**2 + 4*i. Let t(n) = n**2 - n. Calculate r*t(b) + f(b).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11288 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9039*z. Let f(p) = -p**2 - 9*p. What is d(f(t))?\nAnswer: -9039*t**2 - 81351*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7\/(-2) + (129\/(-3408))\/((-150)\/6000).\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 - d**2 + 2*d - 1. Give y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1748*h - 69. Let l(a) = -103*a + 4. Determine 69*l(i) + 4*w(i).\nAnswer: -115*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.57437 rounded to two dps?\nAnswer: 22.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 11 = -l, 0 = -l + 2*h - 0 + 3. Let i be (642\/18)\/(0 - l\/(-3)). Let b = i - -140. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(1903\/(-1038)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19406.67 take away 140?\nAnswer: -19546.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1022385 and 24\/4332965.\nAnswer: 90992265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.307 in -3, -67, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 8*s**2 - 4*s + 11. Give a(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/17)*u*u*(u**(-11)*u*u)\/u*u)\/(u\/(u\/(u*u**0)*u)*u*(u\/u**2*u*u)\/u) assuming u is positive.\nAnswer: u**(-134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**2. Let i = -10366 + 10366. Let t(a) be the third derivative of 10*a**2 + 0*a + i*a**3 - 1\/12*a**4 + 0. What is c(t(z))?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -420 * -2.514.\nAnswer: 1055.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -102982 divided by -163\nAnswer: 102982\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 2*v**2 + v + 1. Suppose -7*y - 1 = -3*y - 5*b, 5*y - 2*b = -14. Let l be y\/6*(-9)\/(-2). Is k(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2034*u**3 + 998*u**3 + 1004*u**3)*(-3 + 3 - 4) + 0*u + 0*u + u**3 - 3*u**3 + 4*u**3 + 0*u**3.\nAnswer: 130*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*((-34)\/(-48) + 0 + (-369)\/984)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -9. Let b = -4 - s. Let q(r) = r**2 - 49*r - 106. Let m be q(51). Put -1, m, b in descending order.\nAnswer: -1, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-12) - (8 - (-565)\/(-60)). Which is the biggest value? (a) m (b) 1\/2 (c) -6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -10379 divided by -107\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 = -2*y + 102, 2*t = -2*y + 94. Is y != 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/55 - 0\/2. Is u at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 + 363 - 363.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -69. Let m = s + -5.9994. Round m to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5 + z - 1 + 5. Suppose -15*i = -11*i - 16. Let w be 0 + (5 - 3) - i\/2. Give m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 105 = 3*i, i - 123 = -p + 6*p. What is the units digit of ((-3)\/(-9))\/(p\/(-70776))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91536132.\nAnswer: 2, 3, 7628011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039125 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - 120\/(-18). Let i(k) be the first derivative of -6*k**2 + 4\/3*k**3 + 8*k + u. What is h in i(h) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 25252645?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8596 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21151666 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l - l. Suppose l = 4*c + 10 + 10, -390 = -5*z + 5*c. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*l + 31 - 3, -2 = 2*k - 3*l. Let v(m) be the first derivative of m**3\/3 - 3*m**2\/2 - 6*m - 3. What is the least common multiple of v(k) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 610 + -609.943. Let q = 0.4681 + -0.0651. Let h = q + c. Round h to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 12*i**4 + 48609*i**3 + 10068135*i**2 + 534257208*i - 134194320 = 0.\nAnswer: -3835, -108, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*f - 6 + 42*f + 9 + 42*f + 7*f - f**2 to k + z*f + l*f**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 15 = -9. Let j be ((-82)\/x - 3) + -7 + 5. What is the greatest common divisor of j and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020000102212 - 111?\nAnswer: 10020000102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 + 2)\/((-6)\/(-4)) + (-955938)\/550930 and -61\/30?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 23. Let i be m(17). Let a be 532\/i + (-2)\/13. Let l(u) = u**2 + u - 13. What are the prime factors of l(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 2 + 2 - 3. Let y(m) = 10*m**3 - m**2. Let l be y(1). Let h(v) = 14 - 1 + 3*v + v. What is l*o(p) + 2*h(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w + 5*b - 7410, 4*w - 4*b - 9912 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*(-80)\/24. Let b be m\/25*10\/14. Put b, 1\/6, 4 in descending order.\nAnswer: 4, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -3, -4, 3297.3, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/1006 - -237\/14587. Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16149060539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 + 167*g**2 + 1474*g + 2008. Calculate u(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 1576540275*n**2 + 1576540275*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6044 + -6044. Solve -4*t + s = 11, s - 4*s - 15 = h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32393, 58625, 84857, 111089, 137321?\nAnswer: 163553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25453883 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and -0.22477.\nAnswer: -0.24477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 5*l - 9 - 3*l to h + n*l and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100102 + -2102210000?\nAnswer: -2112010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**2 - 13*d**2 - 13*d**2 to c*d + w + m*d**2 and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-10166)\/345)*(4 - 50\/15)\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -1\/56*a**8 + 62 + 0*a + 0*a**4 + 0*a**5 + 38\/315*a**7 - 2*a**2 - 2\/45*a**6 + 0*a**3. Solve c(u) = 0 for u.\nAnswer: 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 5967312?\nAnswer: 5967312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 38 - 16*v - 15*v + 96 as n*v + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-5)\/4*108\/(-180)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 v when three letters picked without replacement from {w: 1, l: 6, g: 2, s: 3, v: 2, u: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 64 = -44. Let p(b) = -b**3 - b**2. Let l(n) = 24*n**3 + 27*n**2. Give z*p(d) - 4*l(d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 36*y + 106. Let z be u(-33). Suppose -z*b = -b. Factor 0*o - 3\/2*o**3 - 3\/4*o**5 + b + 9\/4*o**4 + 0*o**2.\nAnswer: -3*o**3*(o - 2)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1087, 2185, 3309, 4471, 5683, 6957?\n\"Answer: 2*b**3 + b**2 + 1081*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4 (c) 0.5 (d) 3804.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18893 in -2, 6, -1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 20 = 0. Let g(p) = 7*p - 9. Let n be g(14). Let l = 129 - n. What is the greatest common factor of l and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = -392. Let s = z - -102. Let r(y) = -2*y - 1 - y - s + 6. Give r(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzzzccmzczszzmcccc. What is prob of picking 2 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:25 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44121 (base 8) in base 13?\nAnswer: -8571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47589, -98109, -148629, -199149, -249669, -300189?\nAnswer: -350709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-1\/4)\/(x\/x**(1\/3))**(3\/7))\/(x**10*x*x\/(x*x**(3\/8)))**(10\/11) assuming x is positive.\nAnswer: x**(-1493\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + 1.94. Suppose d = 2*t, -2*t - 8 = -4*d + d. Let x be -5 + 5 - (-1)\/d. What is the closest to 1\/3 in x, -0.3, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26\/3 (b) -0.1 (c) 0.025 (d) -0.4 (e) -4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 13*g**2 + 2*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -100300?\nAnswer: -100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 430403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-6) - -5)\/((-1)\/18). Let i be ((-4)\/f)\/(22*5\/(-30)). Which is the third biggest value? (a) 5 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1828.7*-1.93\nAnswer: 3529.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54557 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1639529 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 7, i: 1, c: 3, q: 5}. Give prob of picking 1 i and 1 c.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -482*h + 2240. What is t(6)?\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42209000 rounded to the nearest one hundred thousand?\nAnswer: -42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5*n + 36*i**4*n**2 + 2*i**3 - i**2*n**2 - 31*i*n**2 wrt i.\nAnswer: -60*i**2*n + 864*i*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -26*(-1 + (-1)\/2). Suppose 4*q - b = -j, -21 = -4*q - 2*j + 13. Let l = q - 4. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11538184 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -10. Let g = y - -20. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - (-2 + -31) - -52?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 14. Let g be u(3). Suppose -4*p - 4*w - 12 = 0, 2*p + g*p - 2*w = -12. Sort 5, p, 3 in decreasing order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - (4 + -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose 5*z - 13 = -n. Suppose 5*r = 4*r - 5*c + 5, 0 = 3*r + 2*c - z. Solve r*p = -p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2590443 and 1224?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -14264 (c) -0.009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98237 or 32?\nAnswer: -98237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74.7 - 74.699999906. Round n to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -35690.\nAnswer: 356.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4\/2 - 1375*w**3 - 4110*w**2 - 4105*w - 2735\/2 = 0 for w.\nAnswer: -547, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and 25.\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c4 + -246001?\nAnswer: -245b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 424891370.26 from -3.\nAnswer: -424891373.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d - 3*d)*(4 - 6*d - 4) + 0*d**2 + 5*d**2 + d**2 + (4 + 1 - 4)*(-d**2 - 2 + 2).\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2190 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 5051230*u + 1275746225645.\nAnswer: 5*(u - 505123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + sqrt(704) + 3 + sqrt(704) + -1 + sqrt(704)))**2*-5 + 0.\nAnswer: -31700 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + 2*r**2 + (0 + 1 + 1)*(-r**2 + 2*r**2 + r**2) - 2*r**2 + r - r)*(2*r**2 - r + r)*(5*r + 0*r - 4*r).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 15747624*o**3 - 20665606975176*o**2 + 82662616872288*o - 82662679862832.\nAnswer: -3*(o - 2)**2*(o + 2624606)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 2\/3, 11408, -2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/187845 and -31\/60.\nAnswer: 751380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 15. Let b be d(-13). Let n(z) = 2*z**3 - z**2 - 4*z + 1. Let r be n(b). Solve -r*c + 4*q = -19, 2*q - 5*q = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2517 (base 11) to base 2.\nAnswer: -100100100010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/9 + 74*a**2\/3 = 0.\nAnswer: -111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1531 or 2.3?\nAnswer: -1531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/3 + 2\/2. Let o be p\/3*(-5)\/1. Let x be 3\/(-2) - 7\/(-2). Put 1, o, x in ascending order.\nAnswer: o, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 18 = g, 4*n + 3*g + 3 = 39. Calculate the lowest common multiple of 11 and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 64. Let k be s(-19). What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 19. Let g = -8 + 6. Let u be 8\/102*w\/g. What is the third biggest value in u, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 2*o, -1 = -2*c - 3*o - 0. Determine g, given that 4*g**2 + 0*g + 12*g - 2*g**2 - 5*g**c - 12 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-7 - (-10 + -9) - 17)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 3 - 3 + (26 - 26 + 6*h)*(0 - 2 + 0).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.99301 years to millennia.\nAnswer: 0.01099301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 0 - 7 + 7. Let n(w) = -w**2. Calculate n(p(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-8 + 891\/111). Solve -21*n + a = -47 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/12 - 5*y**2. Let h(x) = 22*x. What is q(h(j))?\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*v**5 - 37 + 2*v**4 - 44 - 50 + 34*v**2 + 127 + 106*v**3 wrt v?\nAnswer: 300*v**2 + 48*v + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - 1*sqrt(114))\/sqrt(6) - ((-1*sqrt(76))**2 + sqrt(19)).\nAnswer: -76 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 110\/(-726)*842\/(-10). Let o = a - 78\/11. Which is bigger: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 47*g**3 - 70*g**2 + 219*g - 150. What is m(1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 10. Let i be w(9). Let c = 34 + i. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011100011 (base 2) in base 9?\nAnswer: 7301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 5*y = 1, 3*y - 9 = -2*h. Suppose -5*i + 62 = o, -h*i + 30 = -i + 3*o. Suppose 2*x - 118 = 4*w, 3*w = -w - i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -5*x - 9, 7192*p - 7193*p = 5*x - 10 - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*m - 46518 = -2710*m - 209145 - 12915 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -56?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.102 + 0.198. Is r less than or equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 4*z**3\/3 + 893. Let d(f) be the second derivative of -f**4\/3 + f. What is d(v(u))?\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/45485 or 1?\nAnswer: 2\/45485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9ca21 (base 13) to base 4.\nAnswer: -1011213022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4518728 by 8.\nAnswer: -564841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230, 5, -47.\nAnswer: -47, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - u)*(-10*u - 60 + u + 62).\nAnswer: 9*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 + 4)*(-154)\/(-198)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 26656663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (259\/70)\/37*((1 - 1) + 2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 15*o = 0. Suppose m - g - 33 = 0, -3*g + o*g = -5*m + 155. Calculate the least common multiple of 10 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by -71\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q + 28. What is the remainder when l(0) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -12 (b) -0.5 (c) -2\/19 (d) 0.4 (e) -0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 3191 - 851. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05123 + -143.82\nAnswer: -143.87123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 72887598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 + 4 = 0. What is the second derivative of -n*h**4 - 3*h + 2*h**4 - 6*h**4 wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Let q(c) = 593*c - 18*c**2 - 63*c**2 - 593*c. Determine o(q(t)).\nAnswer: -6561*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lejejliqiiiijei. What is prob of sequence ie?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3 + 1.7. Put a, 1\/4, 0.4 in decreasing order.\nAnswer: a, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 184?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) + (-6*(sqrt(352) + sqrt(352)*-3) + sqrt(352) - sqrt(352)))\/((sqrt(3300)*-1)\/sqrt(3)).\nAnswer: -26*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 4 = k - 2*l, 3*l - 16 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 967533717 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 24*s + 26*s - 8*s**3 to the form j*s**3 + p + r*s + z*s**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3\/3 + m**2\/2 - m - 9. Let r be j(-2). Suppose 4*d = -3*a + 68, -5*a - r*d + 67 = -2*a. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 19 - 51 - 2*i as l*i + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 352\/9 + -122\/3. Find the common denominator of z and -143\/714.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 43*i**2 - 39*i + 132. Let z be n(-42). Let b be 0\/(1*(1 - -1)). Suppose b = p - 26 - z. What is the highest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*d**2*j**2 + d**2 + 302469*j**2 - 7497584 wrt j.\nAnswer: -72*d**2*j + 604938*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2180 - 1 - -2*(-3)\/(-2). Let c = -39329\/18 + g. Calculate the common denominator of c and -121\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/9 - 44*s\/3 - 242 = 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + v = 4*z - 6, 3*v + 9 = 0. Suppose -2 = z*b - 17. Solve -4*p - 41 = b*l, 4*p + 8 = -8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgtu when four letters picked without replacement from {t: 2, u: 4, m: 2, g: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/27*3*429750\/11460.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 186641\/5 (b) 2\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1007*m**2 + 5 + 3 + 3*m**3 - 1005*m**2 - m as v + y*m**2 + p*m + c*m**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 - x**3\/3 + 3*x**2\/2 - 104*x. Let j be z(2). What is the third biggest value in 0.4, -24, j?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389212403?\nAnswer: 97, 4012499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i - 63*i + 984 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94, 132, 170?\n\"Answer: 38*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628789?\nAnswer: 7, 43, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130430 + -1?\nAnswer: 130425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -6) + 11 + -6 + 17 - 3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -42 (c) 22 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 548614\/7 + -78566. Let u = -11992\/63 - w. What is the common denominator of u and -10 - (-80)\/96*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9330\/1463 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-5))\/(-1))\/((-196)\/(-343)*7\/90).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + f = -155, -4*d + 0*f + 133 = f. Suppose -4*q + d = -0*q. Calculate the smallest common multiple of q and (-2 - 0 - 0)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56780 divided by 23.\nAnswer: -56780\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z - 13. Let x(r) = -8*r + 6. Let i be (0 - -2)*((-91)\/2)\/7. Let w(n) = i*x(n) - 6*v(n). Let q(t) = -16 - 13*t**2 + 9 + 7. What is q(w(a))?\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375226, -375221, -375210, -375193, -375170, -375141, -375106?\nAnswer: -375065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5443, 9937, 13487, 16093, 17755?\n\"Answer: -472*i**2 + 5910*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 415878 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3413 * -497\nAnswer: 1696261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2287 (base 12) to base 3\nAnswer: -12021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let o(d) be the first derivative of -d**3 - 39*d - 1331. Give m(o(t)).\nAnswer: -9*t**4 - 234*t**2 - 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5 + (-60 - 7826\/(-130))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -74. Let y = -32.9 - -35.8. Is w greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192368, 384445, 576522, 768599, 960676?\nAnswer: 1152753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + u + 159 + 157 = 0, 5*t + u - 532 = 0. Let o = 1277 - t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - c**2 + 4. Suppose -4*d + 5*b - 3*b = -18, -5*b + 15 = 5*d. Let z(x) = -2 + 5 - d + x**2. Let m = -10 + 8. Determine m*z(s) - t(s).\nAnswer: 2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 4:43 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:06 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 0 + (-17 - -15) + -2 + 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuzz when four letters picked without replacement from {r: 1, x: 1, z: 2, u: 5, i: 1, k: 3}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Let g(l) = 46*l + 1. Suppose 0 = -0*a + 3*a + 12. Let k(b) = a*t(b) - g(b). Is k(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30272\/(-344)*14\/672*-66.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12276.000003601 - 12276. What is k rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 46 = 7*x. Let h(f) = 12*f + 7. Let t(n) = -13*n - 7. Let p(i) = -7*h(i) - 6*t(i). Let y(u) = -7*u - 8. What is x*y(b) - 6*p(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 4, 23, 60, 121, 212?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56091 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*n + 75*n - 575*n - n**2 + 0*n**2.\nAnswer: -n**2 - 588*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (16 + -6)) + (-2 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - 20*v + 10. Let l(p) = p**2 - 6*p + 3. Let t(o) = 3*g(o) - 10*l(o). Let k(r) = 90*r**2. Calculate t(k(y)).\nAnswer: 16200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, 0.05, -1\/3, -4\/5, -4\/3 in descending order.\nAnswer: 1\/16, 0.05, -1\/3, -4\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(98) + sqrt(98) - (1 + 1*sqrt(98) + sqrt(98) - sqrt(98)))*-6.\nAnswer: 6 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188445 + 5090. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/60)\/(256\/(-640))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/4 - -7\/12. Which is the fourth biggest value? (a) -0.5 (b) r (c) -4\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 4\/9, 52.\nAnswer: -6, 4\/9, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*w**3 - 208*w**3 - 3*w**2 - 197*w**3 + 806*w**3 - 199*w**3.\nAnswer: 5*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/16*(-2)\/1. Let n = -6 + p. Which is the third biggest value? (a) n (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 29 - 5 = -19*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0\/1)*5. Suppose 17 = i + 5*w, 12 + 1 = u*i + w. Suppose -l = 5*a - 60, -a - i*l = -2 - 1. Solve 4*r + a + 3 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12487 - -62524. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 7134.\nAnswer: 1\/3567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 4\/4853411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474360 and 75040.\nAnswer: 13282080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1728, -3402, -5088, -6786, -8496, -10218?\n\"Answer: -6*w**2 - 1656*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1566450*d**3 - 14588930*d**2 - 40107392*d\/9 - 346112.\nAnswer: -2*(d + 9)*(2655*d + 416)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*g + 2. Suppose -3*f = l - 3, -l + 0*l = 4*f - g. Let k = 7 + -4. Solve 6 = -k*h - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**2 - 4*g - 14. Let o be v(-10). Let f be (o\/(-35))\/((-2)\/5). Let i = f - 25. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(1*3*sqrt(96) - sqrt(96))\/(sqrt(32)*3*6).\nAnswer: -2 - 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1895 + -3056. Let z = k - -4951.03974. Round z to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 x when four letters picked without replacement from {c: 1, b: 2, p: 10, x: 3, t: 2, y: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 651 - 655. Let l(u) = u**3 + 7*u**2 + 8*u + 2. Suppose -2*v = -r - 143, v + 5*r - 68 = 2*r. Calculate the remainder when v is divided by l(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 7*n - 6044 = -5868 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 870 and 4959?\nAnswer: 49590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + (-49)\/4. Let p = 17 + x. Suppose 3 = -p*b + 2*b. Which is smaller: b or -3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 1279*r**4 + 237150*r**3.\nAnswer: r**3*(r + 225)*(r + 1054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 615, 0.5, -84?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/17)\/f*f*f**(-5)*(f*f**0*f)\/(f**(-2\/5)*f) assuming f is positive.\nAnswer: f**(-231\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**(-15)\/(t\/(t*(t\/t**3)\/t)*t*t**(2\/7)*t) assuming t is positive.\nAnswer: t**(488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007480941 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9029 - 44536\/5. Let h = l + -121. Which is the smallest value? (a) h (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 - 5*i + 4. Let w be q(5). Suppose 6*z = x + 11*z - 124, 452 = w*x - 2*z. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11133836 to the power of 1\/2, to the nearest integer?\nAnswer: 3337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 4. Give h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-20)*9774\/(-3801)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 64, 1\/4, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36184\/5 - -80893\/10. Let f = 830 - w. Find the common denominator of f and -21\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -122*m**3 - 194*m**2 - 5*m + 5. Find the first derivative of k(c) wrt c.\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 8*s - 18 = 4*v, 0 = 3*s + 4*v + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 17*p**2\/2 + 9*p + 19. What is the derivative of m(v) wrt v?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.754 - -0.046. Let c = 19 - s. Let b = -3\/28 - -1\/4. Sort 3, b, c in decreasing order.\nAnswer: 3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2315.519 weeks to days.\nAnswer: 16208.633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let x(a) = 101*a**2. Give x(v(y)).\nAnswer: 101*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/(22\/6). What is the third biggest value in 5\/6, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1998, -1988, -1964, -1920, -1850?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-279)\/(-186))\/(-1 + 1\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - l - 13, -103*r - 3 = -303*r + 102*r + 94*r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.6 + 27. Suppose 0 = -5*c + c - 8. Let l = -5 + 10. What is the closest to 2 in c, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (49 - (102 + -22))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -2*g + 25. What is the highest common factor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6200917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7464, 29870, 67214, 119496, 186716?\n\"Answer: 7469*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(6\/(-9) + 1). Suppose -3*u = 12, 2*g - 6*g - 168 = -z*u. List the prime factors of (-3)\/2 - g\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197981*d**3 + 2*d**2 + 427192*d wrt d?\nAnswer: -1187886*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 0.96. Let r be (-2)\/(-12*(-4)\/18). Let l = -3\/20 - r. What is the nearest to k in -1\/7, l, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o - 474*o = 347*o + 208*o + 22140 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 244 = 2*m, -3*m + 372 = 4*c + 36. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 1\/5 (b) 272 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtom when four letters picked without replacement from accomcatcmyaycy.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816)*2)\/(sqrt(16)*-2) - (-3*sqrt(121)*-1)\/(-1*sqrt(11)*-1))**2*1.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 75*y**2. Let r(d) = -10*d + 119. What is the remainder when w(1) is divided by r(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16581\/4 - 4153. Calculate the common denominator of u and 119\/4122.\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t - 22*t + 11*t + 14*t**2 in the form r + b*t**2 + c*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 43*p + 477 - 61 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6\/29)\/k**(-1) assuming k is positive.\nAnswer: k**(23\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/12 and -25\/2364.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = -5. Sort t, -2, -5, -11.\nAnswer: -11, -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -843569150273 + 2.\nAnswer: -843569150271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -414 - -402. What is the nearest to u in 1\/7, 1, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, 1 i, and 1 z when four letters picked without replacement from {q: 5, z: 2, a: 6, i: 2, f: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b0a25 (base 15) to base 13.\nAnswer: -3721ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78070.00006 - -78068. Let f = o + 2. Round f to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 49*o**3 - 11*o**3.\nAnswer: -50*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7317?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = m - 739, m - 5*o + 165 = 899. What is the common denominator of 2\/(-6)*(m\/(-6))\/(-11) and 33\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 50*l + 244*l + 193*l.\nAnswer: 390*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1729005?\nAnswer: -345801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**4\/12 - z**3\/2 + 19*z**2\/2 - 9*z + 37. Give n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 105.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(1\/6))**(-39)\/((i*i**(-4)*i**2)\/(i\/((i*(((i**(-2)*i)\/i)\/i)\/i)\/i))**1) assuming i is positive.\nAnswer: i**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q. Suppose q*l = -l + 3, 0 = 5*n - 5*l. Suppose -36 = -0*b - n*b. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 28*w + 53*w + 3*w**2 - 25*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkiiikkimm. Give prob of picking 2 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let z = 2 - q. Let t = -0.9 - 0.1. Which is the biggest value? (a) t (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogd when three letters picked without replacement from {g: 8, o: 5, p: 4, d: 2}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 1836?\nAnswer: -1834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from uukkkkkkuuukukkuuuk?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605170 by 2.\nAnswer: -302585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 112\/96 - (-452)\/24?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/957*-33*(-2)\/3*(-36)\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:05 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -3*i - i. Let s be (3\/6)\/((-3)\/i). Let w be -3 + 2 + s\/3. Solve 0 = w*v - 3*l + 3, 0 - 4 = -v - 4*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -4*w**7\/35 - 23*w**3\/6 - 3*w**2 + 19*w. Let i(z) be the first derivative of g(z). Find the first derivative of i(y) wrt y.\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -53. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrru. What is prob of picking 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.01 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*v - 4436*v + 28640 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5 + 0*l**2 - 4*l + l - 3*l**2 + l**3. Let y(a) = -3*a**2 - 64*a - 8. Let q be y(-19). Let p = 129 - q. Calculate m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13057*k + 13061*k + 0 + 5 - 5.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*b - 8, b + 1 = 3*h + 2*h. Let a(r) = 3*r**3 - 5*r**2 - 6*r + 2. Let f(s) = -2*s**3 + 4*s**2 + 5*s - 2. Calculate b*a(x) + 5*f(x).\nAnswer: 2*x**3 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -677, -674, -671, -668, -665?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2. Let s = 17 - 18. Let j(h) = h**2 + h. Let q(g) = s*j(g) + 2*x(g). Give q(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 + -2.266. Let x = w + -46.034. Let c = 45.999712 + x. What is c rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:27 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43630 greater than or equal to 43627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 88. What is z(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 108*l - 1190. Give p(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5\/13 - 20*u**4\/13 - 518*u**3\/13 + 824*u**2\/13 + 7776*u\/13 - 8064\/13 = 0.\nAnswer: -12, -4, 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/30)\/((-4)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1, -8, -4, -4.12, -0.3 in descending order.\nAnswer: 4\/7, -0.3, -1, -4, -4.12, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20631, -41262, -61893, -82524, -103155?\nAnswer: -123786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 1, q: 1, y: 2, x: 3}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b + 14*b - 14*b**2 to the form m*b**2 + s*b + a and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 8*n**2 + 81*n + 700. Calculate u(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 12*z**2 - 7*z - 23. Let b be c(11). Solve -4*k + 3*g = -41 + 10, -4*k + g + b = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*z + 376*z - 138*z - 116*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10236 - -23751. Which is bigger: 13516 or u?\nAnswer: 13516","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117261 divided by 5\nAnswer: -117261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k. Let r = 498 + -293. Suppose -2*b - r - 31 = k. Round b to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-186)*(-72)\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171) + sqrt(171) + -3 + sqrt(171) + 1*sqrt(171)*6)**2*-1.\nAnswer: -20700 + 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y\/(y*y**(19\/5)))\/y)\/y))**44*y\/(y**(-9\/5)\/y)*y*y*y\/y**(2\/7)*y assuming y is positive.\nAnswer: y**(2147\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54058955699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230473.\nAnswer: 13, 325421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 2*s - s. Suppose 0*i = g + i - 8, -i = -3*g + 16. Let k(h) = -2*h**2 + 22 - 28 + g. What is r(k(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than -200\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*s = 119, 3*w + 0*s = 4*s + 168. Let t(g) = -g**3 - 3*g**2 + g - 19. Let c be t(-5). What is the greatest common factor of c and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 + 38*i**2 + 214*i + 280 = 0. Calculate i.\nAnswer: -70, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 686\/5 and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -358730\/561 + 12592\/51. Is y <= -393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/51270 and -11\/46143?\nAnswer: 461430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-2*c - 3*c + 3*c) + 19*c + 12 - 12.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 6*d - 92. Let m = 52 + -52.1. Is m equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = 5*x - 20, 3 = x - w. Suppose 0 = 2*a - 8 + 4. Suppose 16 = t - 2*d, 4*t - 5*d - 4 = 45. Solve t*r - x = a*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 4618\/7439?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.349673.\nAnswer: -0.1049019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + -13a?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88396 or 88339?\nAnswer: 88339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 - j + 1. Let h be (2 - 2)\/(2\/(-1)). Let l be c(h). Let q be 2 + 1*(2 + l). What is the greatest common divisor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 7*t**2 + 6*t - 5. Let f be s(-8). Suppose f = k + 2. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -667 + 397. Let z = g - -267. Let f = 0.5 + 1.5. What is the nearest to f in 0.4, z, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d**2 + 36*d + 19 - 20*d - d**3 - 24*d - 6. Calculate t(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7547, -7546, -7545?\n\"Answer: d - 7548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)*3\/2. Let r be (2\/(-6))\/(1\/v). What is the derivative of 0 - r + 0 + 3*y**3 wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 150*y**2 + 36*y + 152. Does 29 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2541005.77 to the nearest 100.\nAnswer: -2541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2625, -5296, -7985, -10698, -13441, -16220, -19041?\nAnswer: -21910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 2206728?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 27) + -12 + (-2 - -24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46493 - 8633?\nAnswer: -54016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 6*j**2 - 6*j. Let h(y) = -2*y**3 - 11*y**2 + 11*y. What is -4*h(o) - 7*l(o)?\nAnswer: o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/18 and -73\/1046.\nAnswer: 9414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/122 + 886\/61. Let t = -437 + 4343\/10. Calculate the common denominator of p and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2bc98 + 2cc?\nAnswer: -2b999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2904294738 - -49.\nAnswer: 2904294787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(0 - -1) - (502 + -520). Solve 0*m - 75 = i*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/7 + 6*k**4\/7 + k**3\/7 - 6*k**2\/7 = 0. Calculate k.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2\/5 - 1752*f - 105696\/5 = 0. Calculate f.\nAnswer: -12, 2202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 + 19. Let o(w) be the first derivative of 29*w**3\/3 + 13999. Calculate o(d(g)).\nAnswer: 261*g**4 - 3306*g**2 + 10469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 41. Let t(w) = -5*w - 204. What is 2*t(s) + 11*y(s)?\nAnswer: s + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*h - 15695 = 0, 44*h + 6278 = 2*v + 41*h. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.22 (b) 1 (c) -0.5 (d) -1673\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**6*q)\/(q*q**(14\/5)))\/(q**(-17\/2)\/((q**(-1\/24)\/q)\/q)))**(-45) assuming q is positive.\nAnswer: q**(-3477\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (312 + -94 - 53) - (-1 - (-1 - 9))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -465, -688, -911?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r\/(r\/r**(1\/6))*r**(-7)\/r*r**(-4)*(r**(-6)*r*r\/r**(-9))**(-2\/67) assuming r is positive.\nAnswer: r**(-6023\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 7) to base 5.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*h - 74200 = 112*h - 992*h for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 265 + 89 + -198.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2465 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 404*t - 179*t**4 + 339*t**4 - 168*t**4 wrt t.\nAnswer: -20*t**3 - 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/((g\/(g**(-5)\/g))\/g))**(13\/3) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*r**4 - 2820*r**3 - 93286 wrt r?\nAnswer: -152*r**3 - 8460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.54 - 43.84. Suppose 0*f - 168 = 3*f. Let x be (-2)\/f - 2\/7. Put x, 0.4, -2\/17, h in descending order.\nAnswer: 0.4, -2\/17, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 9, 7, 5, 3, 1?\n\"Answer: -2*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + ((sqrt(119) - 3*sqrt(119)) + sqrt(119) - sqrt(119)) - sqrt(119))*6)\/(sqrt(126)\/sqrt(2)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4960 - 4960.0012522. What is k rounded to 5 dps?\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z**2 - 7*z - 6. What is the tens digit of n(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 - 4*q + 5. Let t be x(2). What is the greatest common divisor of 371 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566787812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16142*q**3 + 8035*q**3 + 8102*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:41 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4*z + 935*a**3*z - 13*a**3 + 10*a*z - 8515*a wrt a.\nAnswer: 36*a**2*z + 5610*a*z - 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11))**18*x**(11\/4)\/x**(-13) assuming x is positive.\nAnswer: x**(-729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 21\/(-4) + 3. Let a = 4 - 6. Is p equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 + 8004*k**3 - 3751864*k**2 + 511551744*k + 515311616 = 0. What is k?\nAnswer: -1, 304, 1394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -3 - (10 + -12 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*s = -7096 - 1244. Calculate the greatest common factor of s and 1188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0*o - 7\/160*o**6 + 0 - 1\/280*o**7 - 5\/8*o**4 - 10*o**2 - 9\/40*o**5 - o**3. Factor f(j).\nAnswer: -3*(j + 1)*(j + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeererreeeeeeereeeee. Give prob of picking 3 e and 1 r.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 7.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 866*n**3 + 3*n**2 + 144 wrt n.\nAnswer: 5196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e996a6 - -4?\nAnswer: -1e996a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Let u be (-1 - 52499)\/(t\/((-2240)\/12)). What is u rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = 2*q, 2*f - 2 = -0*f. Calculate the remainder when 8 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -532352 (base 6) to base 2.\nAnswer: -1010100101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 5*y**7\/42 + 32*y**6\/15 + 35*y**3\/6 + 285*y - 2. What is the second derivative of a(q) wrt q?\nAnswer: 100*q**3 + 768*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*g - n - 3*n - 219 + 163, 8*g - 2*n = -80 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 24\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/909 and -31\/4848.\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*a - 20 = 0, 3*n + 6*a - 11*a = 30. Which is smaller: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79 - 13*w + 79 + (3 + 4 - 5)*(-1 + 1 - 2*w) + 1 - 2*w - 1)*((-3 + 2 + 0)*(-2 + 0 + 0) - 1 - 1 - 2) to d*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2103*c - 2 + 2111*c - 4202*c.\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 622 - 608. What is the nearest to g in -2\/11, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 minus 613.740129?\nAnswer: -445.740129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 3, d: 1, g: 3, m: 2, t: 1}. Give prob of sequence at.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 + n**4 + 0*n**4)*(5 + 2 - 6) + 109*n**4 - 83*n**4 - 58*n**4 + (1 - 2*n**4 - 1)*(-1 + 1 - 2).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 11:25 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*l - 24, -2*s + l = -s. Calculate the highest common divisor of 14 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 191*g**2 - 16*g - 7. Calculate the remainder when 4024 is divided by p(1).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 13, -4, 2, 0 in ascending order.\nAnswer: -4, 0, 2, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1574 (base 14) in base 13?\nAnswer: -1984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534*s + 523*s = -22. Suppose n - 27 = -5*r, n = -0*n + 3*r - 13. Let f be 7*2 + (-2)\/2. Solve s*l - n*d = 7*l - 31, -d = 2*l - f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etvevnnnen. What is prob of sequence tvv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160498, -160515, -160532?\nAnswer: -160549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2749942.2 months?\nAnswer: 229.16185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/8085*-70)\/(((-230)\/(-11))\/5)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 754779694+0.18862\nAnswer: 754779694.18862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43845 - -73845. Suppose -6*f = -f + m. Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1651559635 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 435, 688, 937, 1182, 1423, 1660, 1893?\n\"Answer: -2*l**2 + 259*l + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*i**3 - 2*a**2 - 3368*a*i**3 + 761*i**3 - 23 with respect to a.\nAnswer: 4*a*i**3 - 4*a - 3368*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8702)\/(-9) - (15 - 544\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*k + 12, -2*k - 2 = -4. Let h(v) = v**3 - 15*v**2 + 15*v + 13. Is 13 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:55 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (15 - -45) - -32 - -157.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from rrrrrrrrzrgrrkrirggz.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 3*u**2 - u - 1. Let i(a) = 1271*a**3 - 794*a**2 + 6*a + 6. Let f(m) = i(m) + 6*n(m). What is the third derivative of f(z) wrt z?\nAnswer: 7590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-4)\/156). Suppose 0 = 4*v + 3*m - 38, -m + 4*m + k = 4*v. Suppose v = 11*z - 7*z. Solve -z*o + 1 = -7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, x: 3, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 69*p + 161. Give o(3).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a**5 - 5448*a**4 - 78961*a**3 + 50161*a**2 + 11790*a - 8224 = 0. Calculate a.\nAnswer: -257, -16, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgwwouvodoog. Give prob of picking 1 u, 1 v, and 2 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/4*(2 - 1). Let n(u) = -2*u**2 - 17*u + 5. Let b(c) = c**2 + 17*c - 5. Let r(o) = -5*b(o) - 6*n(o). List the prime factors of r(f).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 949, 1416, 1875, 2320, 2745, 3144?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254 and 209818478.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:42 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11.08, -3\/70, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 + h**2\/2 + 2*h + 1. Let i(l) = l**2 - 6*l - 8. Let r be i(9). Suppose 15*f - r*f = 0. Calculate q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10878.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/4 + 20*j**3\/3 + 11*j**2 + 59*j + 289. Let b be x(-19). Find g, given that 3\/5*g - 6\/5*g**b + 0 + 3\/5*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246091 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 1, w: 1, y: 3}. Give prob of sequence bb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 p when three letters picked without replacement from {j: 2, p: 2, h: 1, g: 1, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 + 12*j - 12*j)*(-4*j**2 + 0*j**2 + 3*j**2)*(-j + 0*j - j).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let o(w) be the first derivative of w**3 + 2. What is o(i(v))?\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*6\/10*(-170)\/153. Let q = 5 - 1. What is the nearest to y in 2, -4\/3, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:52 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e40 + 45?\nAnswer: -dea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (30\/(18\/3) - 10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 3 + 5*w**2 + 4*w**3 - 5*w**3 - 8*w. What are the prime factors of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1629, -1667, -1741, -1863, -2045, -2299, -2637, -3071?\n\"Answer: -2*j**3 - 6*j**2 - 6*j - 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-8)*(-33)\/77. Is l >= -97\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 497540 by 5.\nAnswer: 99508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (1 + 2)) + (6 - 4) + -4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04372 times 0.05?\nAnswer: 0.002186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -61*a - 1353. Give g(-16).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2700 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1*w\/(w\/(w\/w**(-2)))*w)\/((w**(-1\/4)*w)\/(w**(-4)*w*w)))\/((w*(w*w**(-1))\/w)**(-40)*w\/(w\/(w*w\/w**(-2)))*w**(-2)) assuming w is positive.\nAnswer: w**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 18. Let x = -2796.7 + 2800.7. Let l = -0.3 + 0.1. Which is the nearest to o? (a) l (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine sixteenths of a minute?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 4*t - 6. Let a be w(6). Let z(m) = -7*m**2 - 5*m + 6. Let b(i) = -8*i**2 - 6*i + 7. Let u = -523 + 518. Calculate a*z(d) + u*b(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 116*a - 4098. Give t(27).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18836.43 - 18835. Let k = -362759.5699756 - -362761. Let x = k - n. What is x rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 60 = -16. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207587914 to the nearest integer?\nAnswer: 14408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 272558 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from wvwvvwwvcpcvvvvwvpp.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251.4 - 251. What is the closest to -4 in -3\/7, w, 1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/36 + (-42)\/(-104).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 7*u + 5302. Let c be (-5)\/(15\/u) - -2. Suppose -3*k = k - c. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5239\/(-124) + 25 - -20)*-20.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47534211*l**2*w**3 + 5*l**2*w**2 - l**2*w + l*w + 672*l - 16*w**2 + 6*w wrt w.\nAnswer: 285205266*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i*i**16*i)\/i)\/i*i*i\/(i\/(i*(i*i\/((i*i\/(i\/i**(8\/3)*i)*i)\/i*i))\/i)))\/(i**(-10)\/i*i*i)**(-31))**(-2\/37) assuming i is positive.\nAnswer: i**(1576\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 + c**5 - 40687*c**3 - 5*c**2 + 85727*c?\nAnswer: 240*c**3 + 60*c**2 - 244122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1464)\/96 + 1\/4. Let r = k - -55. Suppose -6*b + 50 + r = 0. Solve 0*t + 3*t - b = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209500 divided by 4.\nAnswer: -52375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10660 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -19*r - 5*n, 24 + 20 = 5*r + 24*n - 27*n for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 28*o - 31\/2*o**2 + 0 - 89\/6*o**3. What is the derivative of j(g) wrt g?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v**2 + 73*v + 7. Let f be q(-3). Let c be -2 + 0 + -2 + 4. Solve c = -f*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -817a?\nAnswer: 8183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 3)\/(-1 - 0). Suppose r = 5*b + 4 - 29. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t - 2*t)*(-6*t**3 - 2*t**3 - 5*t**3 + (-3*t**2 + 5*t**2 - 4*t**2)*(-t + 3*t + 0*t)) - 2*t**2 + 8*t**4 + t**2 + t**4.\nAnswer: -25*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 9687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -2*s - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 116, 141, 130, 71, -48, -239, -514?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-21)\/((-28)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/4 - 9*k**4\/4 - 3*k**3\/4 + 73*k**2\/4 - 24*k + 9.\nAnswer: -(k - 1)**3*(k + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028178884 rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 1\/4*j**4 + 0*j**2 + 0*j + 0*j**5 + 88\/3*j**3 - 19 + 23\/6*j**6. Find the third derivative of p(b) wrt b.\nAnswer: 1380*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from llllllllllbbllllllbl.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -14417929?\nAnswer: -14417933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 547, 498, 451, 418, 411, 442?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsa when three letters picked without replacement from {a: 3, h: 5, s: 1}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 18\/13351 (c) 4 (d) -13 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6607 (base 13) in base 12?\nAnswer: 8277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.71026 to 2 decimal places.\nAnswer: -3.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 387, -2\/17, 0.1, 3\/5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1909.283896 + -5\nAnswer: -1914.283896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16660 - 3882. Calculate the remainder when v is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(9 + -77 + 70).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 8*k - 246 = 0. Let z = k + -4. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 144612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + 18*x**2 - 25*x - 168. Calculate v(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 69 - 109 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1214\/5 - -93488\/385. Suppose 53 = -d + 51. Which is the second smallest value? (a) d (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -137. Let z = -74 - y. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*u + 21, 4*n - 20715*u = -20712*u - 21 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31734372551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220676002 by 1.\nAnswer: -220676002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-248280)\/222984 - 4\/(-38)) + 1. Is 1 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - 22) - -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24406222 to the power of 1\/2, to the nearest integer?\nAnswer: 4940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 22\/30. Let z = 3.4 - 3.4. Let r = 1 - 1.4. What is the nearest to z in g, r, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ggggggllgggglggglgg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805539337 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4203677865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.425 + -5.3. Let w = f + -0.0991. What is w rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 11:08 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3883170031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from htwhhffutufffffctcft?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4\/8 - 5169*u**3\/8 - 10323*u**2\/8 + 5169*u\/8 + 5163\/4 = 0 for u.\nAnswer: -1721, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272314 + -1?\nAnswer: -272315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.364 + 161677710.2.\nAnswer: 161677710.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9694891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l**3 + 10*l**2 + 11*l - 10. Let a be j(5). Is 13 a factor of ((-85)\/25 + 1)*a\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000438144 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 844 and 7?\nAnswer: 5908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 - x. Let i be f(-2). Let a(d) be the second derivative of d**3\/6 + d**2 - 2*d. Let l be a(-2). Sort l, i, -2.\nAnswer: -2, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 626023559279 + -1\nAnswer: 626023559278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - l - 4*l)*(23*l - 3822045 - 179*l - 93*l + 3822049) in the form f*l**2 + r + k*l and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and 89\/75815238?\nAnswer: 75815238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/4, -4, -1, -0.09088?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 1. Let c(o) = -7*o - 2. Let h(p) = c(p) - 5*q(p). Let j(d) = -d - 1. Let w = 6 + -2. Let f(u) = w*j(u) - h(u). What is f(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17290 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6332, -5182, -4032?\n\"Answer: 1150*c - 7482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n - 5. Let d be v(-4). Suppose 4*c - 6*c - 3*g + 21 = 0, g - 11 = -2*c. Is d >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 0*y + 0*y + (-y + 0*y + 0*y)*(0 + 0 + y) + 3*y**2 - 7*y**2 + 3*y**2 + 3*y**2 + 0*y**2 + y**2 - 2*y + 127 + 2279*y**2 + 123 - 2281*y**2.\nAnswer: 2*y**2 - 2*y + 250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 110 - 22 - 43 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 7*m**2 - 9*m - 1. Suppose -4 = 4*r - 0. Let w be (5\/10)\/(r\/16). What is the units digit of v(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3*m. Let v(i) = -i + 8. Let w be v(5). Let f be p(w). Let n = -0.34 - 0.06. What is the nearest to f in -0.5, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11732, 23497, 35268, 47045, 58828?\n\"Answer: 3*x**2 + 11756*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-6)\/56)\/(21\/735*-130).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/20 + 2 + 0 and 57\/14 + (-3)\/(30\/(-5))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -25\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 10}. What is prob of sequence ninn?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 81*p - 302. Give m(77).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -53077117.\nAnswer: -1\/53077117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*w - 30. Differentiate -w*v**2 + 41*v**2 - 8*v**3 + 5 with respect to v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -31. Let w be 2*(4 + (-71)\/(-2)). Let r = w + q. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8803 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61495420 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*y = 8*g + 15, -5 = 4*g + 247*y - 246*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009\/2 + 0 + (-51)\/34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-75)*(-16280)\/(-2368).\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-4) - (-1)\/(-2). Let v be 9054\/40 - (-4)\/d. Let o = 228 - v. What is the closest to -0.2 in 2, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9*6\/(-4). Let x(b) = -1634 - b + 1635 - 2*b**2 + b + b**3. Let a be x(s). Solve -d - 3 = -a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, p: 7}. Give prob of picking 4 p.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 5\/3*24\/15. Sort 0, -5, 0.4, r in ascending order.\nAnswer: -5, r, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 4264550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 7*h**3 - 16*h**3 + 8*h**3 + 2*h + 5*h.\nAnswer: 2*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3001111 and 7931?\nAnswer: 231085547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 595.4 + -563. Let g = d - 27.4. Which is the third smallest value? (a) 78 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -98, -120, -162, -230, -330, -468, -650?\n\"Answer: -h**3 - h**2 + 2*h - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 4\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34, 27, 8, -29, -90?\n\"Answer: -a**3 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*g = -17, -l - 5*g = -g - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*n - c = 5, 3387*c = -3*n + 3390*c - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2728*c + 527. Let u(b) = 31*b - 6. Let k(x) = -6*g(x) - 527*u(x). Let v(m) = 2*m**2. Determine k(v(y)).\nAnswer: 62*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 260, 324?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/1*(0 - (-1161)\/(-36)). What is the second derivative of -16*b**2 + b**3 + q*b + 2*b**3 - 128*b + 17 wrt b?\nAnswer: 18*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20221, 20255, 20293, 20335, 20381, 20431, 20485?\n\"Answer: 2*l**2 + 28*l + 20191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 + 278*m**2 - 97*m - 539. What is f(-93)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glm when three letters picked without replacement from tmxgmgxgltgegttxmg?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 10, 5, 2, -2470, -1\/5?\nAnswer: -2470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226628 is divided by 9396.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b\/(b\/(b**(-8\/9)\/b*b)))\/b)\/b*b)\/(b**(-1\/2)*b)*((b\/b**(1\/4))\/b)**(1\/5))**(-1\/19) assuming b is positive.\nAnswer: b**(259\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*d**2*z**3 + 2*d**2*z**2 + 681*d**2 - d*z**3 - 4*d*z + 2*z**3 - 21147 wrt d?\nAnswer: 138*z**3 + 4*z**2 + 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -6*t + 2. Suppose -6 = 2*p - t. What is the smallest common multiple of 0\/p - (-13 - -11) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -916*f**2 + 253772*f - 11080.\nAnswer: -4*(f - 277)*(229*f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 55 = 25*u - 10*q, 0 = 3*u + 3*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2156.8.\nAnswer: 2156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84147.12 tonnes to kilograms.\nAnswer: 84147120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4))\/(((v\/v**(-7\/4))\/v)\/v))\/(v**(-2\/3)*v*v**(3\/11)))\/(v**(-5)\/(v\/v**(-3))*(v**(-1\/10)\/v)\/(v**(-2\/23)*v)) assuming v is positive.\nAnswer: v**(222493\/15180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031815315?\nAnswer: 3, 5, 41, 4929781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -51*p + 4*p + 2390. Solve 7*c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 + 4*m + 2. Let l be k(5). Let n be (-38)\/(1\/(-3)*l). List the prime factors of 2\/(-1 + n\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:57 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2849 and 15\/91442318.\nAnswer: 640096226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5501100 by -30.\nAnswer: -183370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -280163?\nAnswer: 280166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -41*x + 39*x + 129, -3*f - x = -377. Calculate the least common multiple of 150 and f.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z**3 + 125 - 125)*(-1485 + 91*z**2 + 1485)*(0 - 1 + 2)*(-1 - 2 + 2).\nAnswer: -1729*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14975 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 8*j + 254. Let g(q) = -q**2. Determine v(g(x)).\nAnswer: -x**4 - 8*x**2 + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18*z - 96 = 0. Find the third derivative of 6*a**6 + 24*a**2 + z*a**6 + 361*a**3 - 362*a**3 wrt a.\nAnswer: 1440*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 234*l + 344. Let f be n(79). Sort f, 6, 5 in increasing order.\nAnswer: 5, 6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -21\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221120 (base 3) to base 15.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w + 1. Let l(d) = -2 - 11*d + 3 - 4. Suppose -10*s + 6*s + u - 17 = 0, s + 3*u + 14 = 0. Calculate s*c(b) - 2*l(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w + 45. Let q(b) = -b**2 + 4*b - 30. Let a be q(0). Let t = w + a. What is the greatest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))**8\/((s\/((s\/s**(-38)*s*s)\/s)*s*s)\/(s**(-2\/83)\/s*s)) assuming s is positive.\nAnswer: s**(7717\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.761 - 0.219. Let i = w + -0.02. Let c = -3 - -7. What is the biggest value in c, i, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o + 10. Suppose 4*c - 3 = o. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 + 4*a**3\/3 - a**2\/2 - 2*a + 2. Suppose 2*d + 5 = -1. Let n = -7 - d. Give s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4291061 - 2308939. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(612)*1 + sqrt(612) + sqrt(612))*6)**2 + 3 - (1 + sqrt(612) + -5 - -3*sqrt(612)*-3))*-1.\nAnswer: -793159 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-14)\/(-8)*(8 + -4). Let s = -17 - r. Differentiate -63 - 22*b + s*b + 42 with respect to b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - n + 10. Let w(t) = 7*t**2 + 3*t - 19. Let b(d) = 5*c(d) + 3*w(d). What is the second derivative of b(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -3 - x**3 - 3\/2*x**2 - x - 1\/4*x**4. Let m(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5109.403 litres?\nAnswer: 5109403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 9*d + 1079. Determine o(27).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74188*m + 74165*m = 115 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*m**2 - 54*m**2 + 78*m**2.\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3370 divided by 5?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(2*i - 19 + 19) + (i + 2*i - 6*i)*(-5 + 4 + 0) as b + r*i and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-10))\/((-2)\/28). Let h(b) = b**2 + 6. Is h(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -476 - -481. Find the third derivative of -90*j**2 - 113*j**5 + 71*j**2 - 28*j**5 - 63*j**p wrt j.\nAnswer: -12240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176.4 - 176. What is the biggest value in -6, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48108.17777 + -48109. Let z = -19.81643 - j. Let y = -19 - z. What is y rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4045097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -13 + 4*j**3 - 17\/2*j**2 + 0*j. Find the second derivative of r(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84.12 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001200902 to seven decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 5 - 1 - 22*j + 32*j.\nAnswer: 6*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 5*h**4\/2 - h**3\/3 + 11. Find the third derivative of d(w) wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -151*g**3 - 4*g**2 + 388*g + 1179. What is the least common multiple of 364 and k(-3)?\nAnswer: 28392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*n + 1148, -3*j + n + 871 = -6*j. Is (-64167)\/j*((-23)\/(-3) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*s - 7, -1471*s - 2*i - 5 = -1474*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606, 749, 1158, 1965, 3302, 5301, 8094?\nAnswer: 11813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 21)\/(1\/(1 + -2)). Let w = q - 32. Let m(y) = y**3 + 4*y**2 - 3*y + 7. Calculate m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/150*o**6 - 12\/25*o**5 + 1 - 80*o - 1152\/5*o**3 + 72\/5*o**4 + 10368\/5*o**2. Find j, given that c(j) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {c: 3, z: 3, t: 13}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -3*x - 2*x. Let h = 7 + x. Let k be (h + 4)*(-10)\/6. Solve -k*i + 3*a - 3 = 0, -2*i + 3*i = -3*a - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, -5, 173 in descending order.\nAnswer: 173, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 207491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 4*i - 5. Let v(s) = -3*s**2 - 6*s + 8. Calculate 7*a(r) + 5*v(r).\nAnswer: -r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 409422005*w**2 + 35834040*w + 784080.\nAnswer: 5*(9049*w + 396)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179403 or 5\/7?\nAnswer: -179403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -47, 0.3.\nAnswer: -47, -5, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -75. Suppose 9 = 2*j + 5*q, j = -0*j - c*q + 4. Solve -j = 3*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Let u(l) = -l. Let r(m) = 2*f(m) - 7*u(m). Let v(b) = -614*b + 297*b + 321*b. Determine r(v(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + 0 - -5) + 6 + 15 + -26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*b - 48, 41*b - 358 - 163 = 8*u + 2*u for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 804 and 68676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -21*v**3 + 3*v**2\/2 - 2*v + 7. Let a be s(1). Let r = a - -60. Put -4, r, -0.11 in increasing order.\nAnswer: -4, r, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44415 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879 divided by 3.\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5175 or 7100.2?\nAnswer: 7100.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 63*m**2 - 111*m - 164. Determine x(61).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - 10 - (6 - 10 - 145)) + -10?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56066703 divided by -3\nAnswer: 18688901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588420.9 rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 54732?\nAnswer: 54733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:59 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/9? (a) 9288 (b) 4 (c) 3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*65\/104*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 5*q**2 - 5*q + 8*q + 14*q**2 + 2 + 2*q - 10*q**2. Calculate p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31891\/23478 - 2\/1677. Let d(n) = 18*n - 8. Let q be d(1). What is the common denominator of i and (-10)\/q - (178\/(-20) + 0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdp when three letters picked without replacement from xnpndpvnnx.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/(-15) + (-4)\/(-10). Let l be 6\/a*32\/(-12). Suppose -l*w + 5*i + 22 + 97 = 0, -3*i = -3. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keke when four letters picked without replacement from aaaeadkkaeekeaahaa?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2754.2 and 309?\nAnswer: 851047.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z - 725 - 180 = -115. Which is smaller: 179\/17 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 98 in decreasing order.\nAnswer: 98, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(72) + 2 + sqrt(72) + sqrt(72))*1 + 3).\nAnswer: -108*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4*p - 4. Let j be d(2). Let t = -358 + 968. Suppose j = -3*v + 311 + t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-71 - -64)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 1. Let q(r) = r - 16. Let z be q(17). Let s be o(z). Suppose 4*f**2 + 6*f**s + 44*f**4 + 24*f**3 + 24*f**5 - 6*f**3 = 0. What is f?\nAnswer: -1, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -75. Suppose -4*h - g*p - 7 = 0, 6*p + 15 = 3*p. Solve -4*s + 0 = -h*t - 2, -t - 2*s = 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 262, 591, 1052, 1645, 2370?\n\"Answer: 66*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2*t**2 + 157*t - 23 - 65*t. Calculate the remainder when 109 is divided by s(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8448 and -43\/28623936.\nAnswer: 114495744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1111110 (base 2) to base 11\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(1 + (-1 - (-2)\/53)). Let s = r - -482. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1994 and 20?\nAnswer: 19940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let d(l) = 45*l**2. Determine -6*d(m) - 130*p(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 3*z - k - 416, 0 = -3*z + 2*k + 409. Let t = z + -97. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163508?\nAnswer: 2, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9544, 9512, 9482, 9454?\nAnswer: 9428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/6 + h**2\/2 - 48862*h. Let k be (-2 + 4 + -8)\/(-2). Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -118, -187, -264, -349, -442, -543?\n\"Answer: -4*l**2 - 49*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16.2. Put u, 0.3, 1\/9, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.3, 1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t**3 - 8. Suppose 4*n = -n + 40. Let q = -8 - -5. Let r(f) = -4*f**3 - 3. Calculate n*r(o) + q*l(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 7360694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxz when three letters picked without replacement from {z: 1, h: 4, y: 2, l: 1, x: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -h - 9. Solve 0*c - h = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 125630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316 - 316.5. What is the nearest to -0.01 in 0.5, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 260398582 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 132*n + 224992\/3.\nAnswer: -(n - 712)*(n + 316)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 - 14*d - 26. Let t be i(-8). Solve -t = 4*w - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*d - 29, 3*y - 2*y - 15 = 3*d. Suppose 140 = 2*b + y. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, -2\/63, 1, -5\/4, 0 in decreasing order.\nAnswer: 23, 1, 0, -2\/63, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -132, -1187, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3977*s = 5117*s + 35340 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2284016, 0.\nAnswer: -3, 0, 2284016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3828151?\nAnswer: 3828151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 + 6. Let b be ((-18)\/(-3))\/((-6)\/4). Calculate the smallest common multiple of t(0) and b\/(-2)*(11 + -3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let l(u) = 4*u - 140. Let n be l(37). Suppose 2*b + 2*v - 24 = 0, -n*b + 4*b = 2*v - 50. Let x(q) = -7*q - 4. What is the remainder when x(-5) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521343 (base 7) to base 2.\nAnswer: -10101110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 13345*m - 647491. Calculate h(48).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4)*16\/(-6). What is the nearest to -0.1 in 0.4, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -493.8 and -0.3.\nAnswer: 148.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76180922 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = -5*f + 9, 3 = k. Solve 5*b = -h + 21, -f*h - 18*b - 33 = -23*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54478.7371 rounded to the nearest one hundred?\nAnswer: -54500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 2*p + 2*p)*(4*p**4 + 5*p**4 + 11*p**4) + (30 - 10*p - 30)*(-31*p**3 + 31*p**3 - 11*p**4).\nAnswer: 70*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/3 - (-2 - 28\/(-12)). Let k = t - -78. Suppose 0 = 6*q - q - 860. What is the highest common factor of q and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0 - 2*n + 3*n - 3*n + 4. Let s be l(-7). Calculate the remainder when 14 is divided by (12\/s)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i, -5*i = -13*r + 16*r - 134. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.0737 - -0.0163. What is the biggest value in x, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 759, 4, 253 in decreasing order.\nAnswer: 759, 253, 17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.124, 4, 31\/7?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2904, 5782, 8670, 11568, 14476, 17394, 20322?\nAnswer: 23260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2735 divided by -5?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 149*w - 1912. Calculate the remainder when 2173 is divided by z(-133).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7118 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481659.\nAnswer: 523, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6000176 (b) 5\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1034275, -2068544, -3102813, -4137088, -5171375, -6205680, -7240009?\nAnswer: -8274368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -4*o**5\/15 + o**4 - 4*o**3\/3 + 2*o**2\/3 + 12. Suppose d(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75514?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -69662459*n**2. Let d(q) = -2*q. Give d(g(p)).\nAnswer: 139324918*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227874 and 652?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.048? (a) 3\/25 (b) -3.4 (c) 1\/6 (d) -1\/8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 4*p**6\/3 - 2*p**2 - 4. Find the second derivative of v(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = -u, 4*u + 16 + 8 = -4*t. Let o = u + 29. Suppose 4*x = 8, 5*x - 490 = -h - 2*h. Calculate the highest common divisor of o and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 1, -1.6, 1\/3, 7\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 284\/426*(-102)\/4 - 18?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-174)*-2*(-342)\/(-228)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179108632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 0*l**2 - 3*l**2 + 0*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (4 - (4 + -7))) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12936 = -2*t - 5*n, 4*t + t + 5*n = 32340. Suppose -4*s = -3*a - 0*a - t, -3*a = 2*s - 3252. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 8*t**2 - 4*t - 2. Give y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5 - 1681*c**4\/7 + 100802*c**3\/7 - 2169134*c**2\/7 + 13975863*c\/7 - 1952577\/7 = 0.\nAnswer: 1\/7, 11, 33, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-26)*199602\/1049190.\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1838 and 61\/2.\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 83. What is the highest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 21 + -17 + 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33203 - 12?\nAnswer: -33221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-11))\/u)\/(u**(-2\/3)\/u))**(-4)*(u\/(u**(-2\/9)*u))**(8\/3)*(u\/u**(-1))**(7\/9) assuming u is positive.\nAnswer: u**(1066\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -14. Let w = o - 3.1. Which is the nearest to 0? (a) -3\/5 (b) -1\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(209)*-1*4 - sqrt(209))\/(-1*sqrt(704))).\nAnswer: -6 - 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*v = -3*b - 30, b = 4*v + 15. Let d be 114\/b + (-2)\/(-5). Let m = 25 - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 10) in base 13?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01825465791 rounded to four dps?\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(27))\/(6*sqrt(6)*-2).\nAnswer: -sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 9. Let z be f(6). Let i(m) = m + 2. List the prime factors of i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.00950366.\nAnswer: 0.06652562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-655)\/(-9) + (8 - (-350)\/(-45)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 264 + 76. Let h = v - 40. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 12, 5 in descending order.\nAnswer: 25, 12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-91)\/(-260) + -9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.683 or 2.16?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12) + (-16)\/6. Let p be (2\/(-6))\/((-1)\/s). Is 17 + (4\/2)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2131 + 11021542?\nAnswer: 11024113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -642 + -67733?\nAnswer: -68075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.1 + 0.177?\nAnswer: -307.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342211312 - 4?\nAnswer: 342211303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1284\/20 - -1)\/(2\/20). Let a = i - 2057\/3. Let o = a + 33. Put -0.4, o, 1\/7, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/7, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j - 5*f + 10, 4*j + 2*f - 14 = 0. Let k(x) = -2*x - 8 + 1 - x**2 - 4*x**3 + j - 2*x**2. What is the remainder when 85 is divided by k(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.92 - 0.08. Let q = v - -14. Let r = -3 + q. Which is smaller: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 147*n + 1. Is b(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12030200 is divided by 289.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddyvmvdymysd. Give prob of sequence yymv.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 0, -4*d = -g - 86. Let a be 57\/11 - 4\/d. Find the second derivative of -44*i**2 + 44*i**2 - i**a + 3*i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000551906754 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -23. Let j = w - -3. Which is the second biggest value? (a) 5 (b) 3\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*f = 15, 4*f = -5*y + 7*f - 15. Find the common denominator of (-672)\/(-40)*((-56)\/18 - y) and 46\/81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4716 + -1743. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 - -2069. Suppose 3*t + 483 = x. Suppose 132 = -3*b + t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*f - 17*f - 686 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33136 (base 8) in base 11?\nAnswer: -a503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - k + 6 = -0*k, 0 = -2*i + 3*k + 3. Which is the second biggest value? (a) i (b) 1\/3 (c) 1\/10 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.6 - 0.13?\nAnswer: 80.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:43 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 0.2 (c) 162 (d) 2397\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 61 = 8*p. Let j(z) = z + 1. Let n be j(-1). Solve -p*f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 1. Let q(w) = 4*w + 10. Let a(j) = -3*q(j) - 30*x(j). Let y be a(2). Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05237 from 7544.\nAnswer: 7543.94763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, -1\/10, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -411*b + 58*b**2 + 411*b in the form c + d*b**2 + k*b and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) - (6*-1*sqrt(133) + sqrt(133))))\/(sqrt(63) + (sqrt(4032) - (sqrt(4032) - sqrt(4032)*2))).\nAnswer: 6*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (2 - 3) + 0. Suppose -p = 2*l + 2*p - 13, w = -5*l - 4*p + 29. Suppose -3*d - l = -86. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hahahahhhhh. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2 - (52 - 24). Let c(r) = 8*r + 2. Let d be c(-6). Let h = u - d. Calculate the remainder when 59 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + -5*(3 + -2*sqrt(192) - sqrt(192))**2.\nAnswer: -8691 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**2 - 8*o + 20. Determine d(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5506 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -761290 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18634*i**4 - 2*i**3 - 4*i**2 + 79775281 wrt i?\nAnswer: -74536*i**3 - 6*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 184, -5.\nAnswer: -5, 3, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 3, a: 1, u: 10}. Give prob of picking 3 e and 1 r.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c3 - -ac24b?\nAnswer: ac441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x - 9*x)*(-x + x - 2*x) + (1 - 1 - x)*(-1 + x + 1) + (6*x + 2*x + 3*x)*(2*x + x - 2*x).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -63.91. Let h = l + 1.5. Round h to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*m = 4*d + 251*m - 9, 0 = -8*d + 3*m - 47 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -275 + 496. Suppose -2*d = -3*h - 6*d + y, 0 = h + 3*d - 82. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -369 in 5, -1\/184, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/12)\/(3\/10). Let i be (0 + 1\/(-18))*2. Sort n, 2, i in decreasing order.\nAnswer: 2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5387585\/234 - -23024. Calculate the common denominator of x and -7\/780.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + 3*sqrt(1053)*-1 + (sqrt(1053) + -2)*-3)*1)**2 + -4.\nAnswer: -1728*sqrt(13) + 38160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88956471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 627, 1402, 2487, 3882, 5587?\nAnswer: 7602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 130. Solve 0 = o*n + 5 - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*(-4)\/(-28))\/(-30 + (-7569)\/(-252)). Suppose -2*r = -36 - 6. Solve 0 = -9*d - r - z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11869?\nAnswer: 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -2\/3 (c) -2\/9 (d) 20\/3 (e) 258\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 20 = 15*l. What is the nearest to 2 in -0.6, 0.2, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and 97\/2868.\nAnswer: 14340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1837453\/55 or -33407?\nAnswer: -33407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 3 - 3 - -2. Suppose -j = -4*j + m + 4735, m = -y*j + 6325. Round j to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21198 by -135.\nAnswer: 7066\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878, -1744, -2610?\nAnswer: -3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-276)\/(-2))\/(12\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -22*n**5\/5 + 3*n**4\/2 + 50*n**3\/3 - 3*n**2 - 28*n - 813. Solve i(m) = 0.\nAnswer: -1, 1, 14\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**2 - 4*q + 23. Let a be z(3). Let b(x) = 9 - 28*x**2 - 8 + 15*x**a. Calculate b(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exj when three letters picked without replacement from {j: 1, x: 1, v: 6, e: 2, k: 3}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*s = n + 17, 3*s = 3. Let j = 85 - 85. Suppose -5*w - 20 = -j*w. Is n greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 2. Let n be t(-11). Let a(l) = 6*l + n*l - 23*l. Let h(w) = -3*w**2. Give a(h(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -48, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:24 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 60*c**2 + 67*c + 53. What is the thousands digit of z(-58)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128593, 128633, 128673, 128713?\nAnswer: 128753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 940 - 1902.48. Let s = g - -939. Let f = s + 23. Round f to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 0.41927975 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*g + 2)*(-15*g**4 - 12*g**4 + 10*g**4) + (-4*g + 0 + 0)*(0*g**4 + 5*g**4 - g**4).\nAnswer: 86*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10021 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10391239 is divided by 5195547?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 14 - 11 - 4940\/266.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.24014, -4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (107\/(-2))\/(1*5\/10). Let t = -114 - d. Put t, 3, 0 in decreasing order.\nAnswer: 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/22*(-1)\/(10\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(396)*2.\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 18?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 + 118*p + 83. Calculate x(-41).\nAnswer: 1969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70583891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46 - 44 + 91)*(-2*u**3 - 5*u + 0*u + 2*u) to r*u**3 + j*u + k + d*u**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3006 - 1060. Find the common denominator of -107\/18 and (q\/56)\/(10\/(-1) + -2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27053 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 7) + 20 - (1 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5594, 22378, 50352, 89516, 139870, 201414?\n\"Answer: 5595*l**2 - l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3.62, 48, 70, 5, -10?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + 2 - (0 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g - 15. Let d be h(7). Suppose 3*p - 21 = -9. Suppose 324 = 2*u - k + 5*k, -645 = -p*u - 5*k. What is the highest common divisor of d and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -198833 and -0.06.\nAnswer: -198833.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l*l)**34\/((l**(-10)\/l)\/l*l\/l**(1\/19)*l) assuming l is positive.\nAnswer: l**(-1747\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -14. Let o = -41\/3 - q. Put o, -2, -4\/7, 0.05 in decreasing order.\nAnswer: 0.05, -4\/7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 307560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/36 - 35*m**3\/9 - 1225*m**2\/6 + 38*m + 2. Factor t(d).\nAnswer: -(d + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5564, 5936, 6564, 7454, 8612, 10044, 11756?\nAnswer: 13754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 84, -1, 5 in increasing order.\nAnswer: -13, -1, 2, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-9 + 28 + -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 0*b + 2*b)*(-b - 2*b + 0*b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25722)\/15*(-1 + (1326\/(-18))\/13). Is 11432 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4180, 4196, 4226, 4276, 4352, 4460?\nAnswer: 4606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0 + 435*v**2 - 23*v**2 - 1725*v**2 + 2. Let z(t) = 4*t. Calculate z(u(x)).\nAnswer: -5252*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 2439596 + 18245104 = 0. What is x rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -9, -4, -2\/7, 6.\nAnswer: -9, -4, -2\/7, -1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2505 (base 7) to base 12.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from xjxjxjjjjj.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397791*i + 912*i**3 + 397791*i.\nAnswer: 912*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002013363446 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 10*h + 9. Let z(m) = -4*m**2 - 41*m - 39. Let j(c) = 9*w(c) + 2*z(c). Calculate j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24)\/((-93)\/45 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 637017678 by -6.\nAnswer: -106169613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lflgllgnjnlnllglllng. Give prob of picking 1 f, 1 j, and 1 l.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 5*m**2\/2 - 52. Let y(v) = 12398*v + 0 - 12435*v + 0. Give y(c(n)).\nAnswer: -185*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 101, -22, -0.2721?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:18 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((((1*sqrt(416))\/sqrt(8))\/sqrt(4))**2 - ((sqrt(1872) + sqrt(1872)*-1 - sqrt(1872)) + 5 + sqrt(13) + (sqrt(13) + 0)**2)).\nAnswer: -5 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:04 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 27 = -3*m, -50*j + 52*j + 5*m = -33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afkmmrkmkaimkka. Give prob of sequence am.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8849766*w = 8849816*w + 150 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63*(-20)\/15*(-2)\/(-4). Let g(m) = 7*m**2 - 42*m + 42. Suppose -3*b = -4*b - 4*q - 21, 3*b = q + 2. Let x(r) = r - 1. What is b*g(t) + c*x(t)?\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -20. Let w(j) = -14*j**3 - 9*j**2 + 14*j. Let b(d) = -5*d**3 - 3*d**2 + 5*d. Let t(a) = s*w(a) + 17*b(a). Determine t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 + 390*r**4 + 2050*r**3 - 101600*r**2 + 525945*r - 426790 = 0. Calculate r.\nAnswer: -67, -26, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 5:01 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12323 by 185.\nAnswer: -12323\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277828, 2222536, 7501026, 17780188, 34726912, 60008088, 95290606, 142241356?\nAnswer: 202527228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 167691 + 67032 = 98601. What is the greatest common divisor of j and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 3. Let p(o) = 3*o + 5. Let g(c) = 5*a(c) + 3*p(c). Let z(h) be the second derivative of -h**3\/3 + h. Give 14*g(k) - 6*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let w be 6*((-16)\/(-6) - j). Let t be (-33)\/(-42) - w\/(-4). What is the biggest value in t, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86964446449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42503916 divided by -52.\nAnswer: 817383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 2. Suppose 24 = 5*p + 3*w, -v*p = -2*p - 4*w + 6. Suppose 1 = p*u - 11. Solve -a + q + 1 = -u, 3*q = -3*a + 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/14 (b) -21 (c) 0.2 (d) -0.2 (e) -805.47 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 591797 and 1372725.\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2. Let d(w) = 2*w - 1. Let m(i) = i - 1. Let k(u) = -u**2 + 7*u - 7. Let l be k(6). Let f(y) = l*m(y) + d(y). What is h(f(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2422 = 21*x - 17696. Suppose 0 = -6*s + 8*s + 2*b - x, 9 = 3*b. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20415797?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3 + 5 + 132\/(-8) + 12\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/44579 or 0?\nAnswer: 2\/44579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36793.797282+2.6\nAnswer: 36796.397282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:11 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-312)\/182)\/(20\/(-42))*10. What is the highest common factor of 24228 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 270. Let l be ((-25)\/15)\/((-10)\/p). Let s(v) = 3*v - 8. Let c be s(6). Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 29.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*a = 90. Solve -2*i + 5 = -5*y, i + 5*y = -i + a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**2 + 15*i**2 + 2*i**2 + 1 - 30*i - 1.\nAnswer: 2*i*(i - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 - -163. What is the nearest to 0.1 in h, 12, 2\/7, -1\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3924 = -199*k - 2673*k - 7564 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.011 - 1.011. Which is the biggest value? (a) -5 (b) 0.3 (c) 2\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68602*(-39)\/(-104) + 3\/(-4). Suppose -46*j + 25*j = -h. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + 7 - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -6 - -3) + 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 7 + 8)*(-4 + 5*b**2 + 5 - 4*b**2).\nAnswer: -16*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2988.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:09 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -54. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = t + 2*p, -15 = 4*p - 35. Let o = -15 - t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 9*c**2 - 5*c - 18. Let h(v) = -v + 1. Let b(p) = -6*h(p) - r(p). Let z be (-8 - -6)*(-3 - 2). Does 11 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 2:14 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002089 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 + 7. What is the smallest common multiple of y(-6) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 0.1.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let b(j) = j**2 + j - 1. Let w be b(t). Let n = 1014 + -1017. Is n not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -3 - (188 + -180) - (41 + 29)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70212473?\nAnswer: 101, 313, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-16)*(-1 + (-3)\/(-5)). Which is the nearest to -2? (a) v (b) -2\/13 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b3 - -10a78?\nAnswer: 1125b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/3 - 298156*m**2\/3 + 81807358*m\/3 - 1868791792 = 0.\nAnswer: -149352, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-32)\/56*3\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-12) - 0 - (-298)\/30 and -32\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 14, -20.6797?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: c412 (base 16) to base 10\nAnswer: 50194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - o - 60 = 0, -28 = -l - 0*l - 3*o. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803581 is divided by 803286?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + d5?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34698 divided by 3\nAnswer: -11566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -786*o**2\/7 + 1564*o\/7 + 16\/7 = 0?\nAnswer: -4\/393, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628 divided by -157.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-203))\/(4\/2)*(-34)\/((-1122)\/(-231)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -466\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31475188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3179004 divided by -573.\nAnswer: -5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*j + 81 = 0, 79*x - 76*x - 5*j - 67 = 0. Solve -k = 3*k - z + x, 5*z + 22 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 17*v - 2. Determine s(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2105 - 2105 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohhh when four letters picked without replacement from {o: 11, h: 5}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -16, -41, -76?\n\"Answer: -5*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*o - 10 - 7117*o**2 + 2 + 5578*o**2 wrt o?\nAnswer: -3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(91)*-2)\/sqrt(7))**2 + 2).\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4603*n - 100999 = 32958 + 118601 - 31614 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/23))**(-4\/9))**(-50) assuming f is positive.\nAnswer: f**(1400\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 15*y**2 + 19*y - 46. Let a be s(9). Let v = -529 + a. Which is smaller: -159 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1772 and 187?\nAnswer: 331364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 4*d - 8. Let u be q(6). Let w be -3*(u\/3)\/4. Suppose -2*b + w*b - 180 = -4*t, 3*b = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -36. Suppose -5*v - g = 5*t, 2*t + 8 + 1 = v. Put 1, v, -2 in decreasing order.\nAnswer: 1, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 18. Let c be l(8). What is the greatest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -6\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -21, 3, -3, -9 in descending order.\nAnswer: 5, 4, 3, -3, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2120 - 2117. Let s(l) be the second derivative of 0 + 0*l**2 + 3*l - 5\/6*l**i. Let o(f) = -f. Determine o(s(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28106.\nAnswer: 2, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 1. Suppose -11 = -3*t + v, -t + 2*v = 3*v + 3. Suppose -4*i + 2 = -t. Give m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4023?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*d**3*x**2 + 79*d**3*x + 10*d**3 + 114*d**2*x**2 - 3*d + x**2 wrt d.\nAnswer: -870*x**2 + 474*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5893026140.\nAnswer: 2, 5, 109, 191, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l - 222. Does 59 divide z(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from mmzmmizizm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (10 - (2 + 4) - 5) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and -14.52151.\nAnswer: -14.54151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12969 and -2.1?\nAnswer: 27234.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24639037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = 262 - 242 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -62*d + 2044. Determine t(17).\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3611*o - 5115*o = 42338 - 548446 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by (-306)\/(-10) + (-15 - (-576)\/40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.7912864 seconds to days.\nAnswer: 0.000101751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 10 + 4 + -6 + -9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1674367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-18)*-40*(-48)\/(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*c - 4739 + 488, 0 = -3*b + 4*c + 6379. Suppose 1068 = v + 2*d, 6*d = -2*v + d + b. Let h = v + -491. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7146?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 67 and 251081832.\nAnswer: 251081899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(2\/33))))\/(g\/(g*g*g**(6\/5))))\/(g*g**(-13)\/g*g**(-15\/2)) assuming g is positive.\nAnswer: g**(7841\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*t + 20, 18 = 3*w - 0*w - 3*t. Let z be 280\/25 - 270\/27. Which is the smallest value? (a) w (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 u when four letters picked without replacement from {u: 1, p: 1, r: 2, w: 3, z: 3, h: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n + 31. Let m(w) = 4*w**2. Let s be m(-2). Suppose 4*p - s = 28. What is the lowest common multiple of p and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1202\/39 + -92\/3. Let p = -103.8 + 104. Which is the third smallest value? (a) p (b) -2.1 (c) 4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 103 = -3*k, 0 = t - 4*t - 2*k + 122. Let j be (1 - 0)\/(2\/t). Let l = -382 - -415. Calculate the greatest common divisor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v**3 + 0*v**3 + (2 - 2 + 2*v)*(0*v + 0*v - v**2) + 58 - 58 + 10*v**3 - 4*v**3 + 2*v**3 + 4*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 72 = 78. Suppose -2*c + 6 = 0, -5*u + 0*u = 2*c - 151. Is u at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.432 - -2.532. What is the smallest value in 2\/11, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -c + 81. Let r = 73 - c. Solve -5*n = -r - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 - 4*y + 5. Let x be k(1). Sort 2, x, -13 in increasing order.\nAnswer: -13, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 9708831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -199580\/83 greater than -2405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -96 (c) -0.039 (d) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7 + 3228*p**2 - 1078*p**2 - 1078*p**2 - 1071*p**2. Let q(v) = 244*v**2. Calculate q(a(d)).\nAnswer: 244*d**4 + 3416*d**2 + 11956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 5*f - 2*f - f + 2*f + (0 - 2 + 3)*(-f - 6*f + 5*f) - 1 + f + 1)*(-2 - 1 + 4)*(-2 - 4 - 1) + (-1 + 2 + 7)*(-4*f - 1 + 1).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 3*j - 1 + 0*j. Let h be n(4). Suppose -1919*s + 298*s = -8105. Solve 0 = h*i + s*f + 13, f + 9 = -i - 3*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1523.01 + -1523. Sort -16, 2, h in descending order.\nAnswer: 2, h, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292855597?\nAnswer: 3, 491, 518863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) - 3*(sqrt(125) - (1 + sqrt(125))) - sqrt(125)))**2 + (2*sqrt(125))**2*-1.\nAnswer: -366 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31b5 (base 15) to base 14\nAnswer: 3b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*w**2 + 7\/3*w + 2\/3.\nAnswer: -(w - 2)*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbblbllpsj. What is prob of picking 1 j and 3 b?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13))**(-38)*(m*m*m*m*m**0*m)**(7\/5) assuming m is positive.\nAnswer: m**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 635 divided by 127.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0 + 0*p + 1\/6*p**5 + 0*p**4 + 0*p**3 + 16*p**2. Let i(w) = 2*w. Give i(s(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-5) - (-2 + -7). Solve 3*o + 0 = q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 - (-7 - -13 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -17*a**8\/336 - 3*a**5\/20 + 5*a**2 - 6. Let u(j) be the second derivative of r(j). Find the third derivative of u(g) wrt g.\nAnswer: -1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/350320 and -103\/1160.\nAnswer: 350320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 + 4*j + 11. Suppose 2*h + d - 13 = -2*h, -4*d + 10 = -5*h. Suppose 0 = 5*y + 3*w - 19, 2*w = h*y - 0*y - 14. Is k(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10218187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5539342 - -26.45.\nAnswer: -5539315.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:39 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-22) + 39\/143 + -6?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxm when three letters picked without replacement from {m: 1, a: 1, j: 3, r: 2, x: 3, w: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, 1 y, and 1 x when four letters picked without replacement from fqyqyqyyffxqyn.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270.607g in kilograms?\nAnswer: 5.270607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*y - 10. Let i(s) = -5*s**3 + 8*s**2 - 3*s - 7 + 4*s**3 + 5. Let u be i(y). Round u to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459256?\nAnswer: 2, 47, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**2 + 9*o + 34*o + 3*o**2 + 43*o in the form f*o**2 + v + p*o and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 2. Let f(r) = -39184*r**2 + 2370*r + 1185. Let g(p) = -33*p**2 + 2*p + 1. Let t(o) = 2*f(o) - 2370*g(o). Determine h(t(w)).\nAnswer: -74892*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39858 + 39858 - 484*h.\nAnswer: -484*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 2*z**2 + 16*z - 24.\nAnswer: -2*(z - 2)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17121.4 - -17121. Put c, 3, -0.3, 19\/9 in increasing order.\nAnswer: c, -0.3, 19\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -7. Suppose -x + m + t - 2 = 0, 5*m = 0. Suppose -x = z - 17. Calculate the remainder when z is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115403 + 156203050\nAnswer: 156318453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3908 - 5b?\nAnswer: 387a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. What is the third derivative of -4 + t**2 + v - 3*t**6 wrt t?\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.21, -6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/70 - -31\/70. Which is the closest to -1\/3? (a) 1\/49 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37084549759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/454408 - -16245155\/31354152. What is the common denominator of 37\/414 and i?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424 - -338.5. Let s = m + 85. Which is the third smallest value? (a) s (b) 0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 1. Let b be j(1). Let w = -47 + 52. Suppose -2*m - 3*q + 54 = 0, 10*m - 173 = w*m + 2*q. Calculate the highest common divisor of m and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = f, -4*u + 7 = 2*f - u. Let o be (4 + -4)*(f + -1). What is the remainder when 18 is divided by o - -2 - 2 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2222 + 6173*s + 4143*s - 14284*s with respect to s.\nAnswer: -3968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.801 times -0.2\nAnswer: 4.7602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:46 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1548138357 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -766\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80522827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68073 is divided by 337.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.3 (b) -18 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3251*n**2 - 2951?\nAnswer: 6502*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Let k be 2 + -1 + (0 - 1). Solve c + k*c + 4 = q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 5*y - 6. Let r(b) = 101*b**2 - 20*b + 23. Let q(c) = r(c) + 4*z(c). Let m(i) = 49*i**2 - 1. Calculate -5*m(k) + 3*q(k).\nAnswer: 46*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -26*h**5 - 18*h**2 + 5*h. Let s(c) = 26*c**5 + 18*c**2 - 6*c. Let y(i) = -6*d(i) - 5*s(i). What is the third derivative of y(f) wrt f?\nAnswer: 1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 95?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202102021 (base 3) to base 8.\nAnswer: 35044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 9*t - 19. What is the nearest to 0.1 in -8, t, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-5))\/(2\/10). Let r = -2.4 - -0.4. Let a = -297 + 302. What is the third smallest value in y, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -501\/5, -0.037 in ascending order.\nAnswer: -501\/5, -0.037, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 21755, 4 in decreasing order.\nAnswer: 21755, 16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((65\/(-10))\/13)\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -8429, -1, 3 in ascending order.\nAnswer: -8429, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75541413 and 6?\nAnswer: 151082826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqdqwqq. Give prob of picking 3 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 683383 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113604*o**3 + 215*o**2 + 69 wrt o.\nAnswer: 681624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c3 (base 16) in base 6?\nAnswer: -3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + u - 2. Let m(x) = -7*x**2 - 10*x. Let b(f) = -m(f) - 2*y(f). Let k(o) = -2*o**2 - 9*o - 5. Calculate -5*b(h) - 4*k(h).\nAnswer: 3*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7670259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ahaammaamhhmaha?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n**2 - n**2 - n**2)*(1 - n - 1) - 175*n**3 - 69*n**3 - 628*n**3)*(n - n - 2*n).\nAnswer: 1748*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -78d?\nAnswer: 78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21188508*o**3*v**3 - o**3 + 101*o**2*v**2 - 2*o**2 - 402*o*v + 8*v wrt v.\nAnswer: -127131048*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 178, 264, 350, 436?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20221 - -13210200?\nAnswer: 13231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let u be a\/4 + (0 - 1). Suppose 7*t - 3*t - 760 = u. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/3)\/v)*v)**(-40)\/(v\/(v\/v**(-1)))**(-7\/12))\/((v*v**0)**32*(v\/(v*v\/v**(-1)*v)*v)**(2\/61)) assuming v is positive.\nAnswer: v**(-121403\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v - 1. Let z(i) = -i**3 - 9*i**2 - 5*i - 7. Let h(a) = -4*a**3 + 39*a**2 - 2*a + 119. Let q be h(10). What is q*z(d) + 4*x(d)?\nAnswer: d**3 + 5*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(6 - 1 + 15)*(0*k**2 - 2*k**4 + 0*k**2).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 5*k**2 + 2*k - 13. Let g(d) = -d**2 - 1. Let y = -2 + 4. Let l(v) = y*a(v) - 18*g(v). Solve l(i) = 0 for i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*d + 11 + 36, -4*d + 4*t = -60. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30429*i*x + 1135023*i - 9646*x + 89 wrt x?\nAnswer: 30429*i - 9646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(90\/(-5))*-4)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 916.868 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 4*q + 1 - 1 + (-4 + 5 + 1)*(21 - 127 - 200)*(1 - 1 - q) + 2*q - 5*q + 2*q + (-3 + 1 + 0)*(-3*q - q + 3*q).\nAnswer: 609*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3 = -3*t - 22, -j = -5*t - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*g = -372. Let s be g + (-1 - (-1 + 2)). What is the units digit of (48\/s)\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.039 + 0.046. Let l = 0.094 + -0.04. Let j = l - d. Round j to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhzcchhxcz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56114 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 1. Let o be r(2). Let t(w) be the first derivative of w**3\/3 - 3*w**2\/2 + 5*w + 4. Is t(o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 27*t = -29*t + 847, -3*w - 2541 = t. Let n = w - -851. Solve 1 + 12 = -5*r - 2*i, -15 = -r + n*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + k**5 + 0*k**5 + (3 - 3 - 2*k**2)*(2 - 3 + 2)*(2*k**3 + k**3 - 5*k**3).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2014866, 2014879, 2014894, 2014911?\n\"Answer: h**2 + 10*h + 2014855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -11. Let l(u) = -u**2 + 2*u + 8. Let s be l(y). Are 10\/47 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*t**2 + 6 + 3 - 11.\nAnswer: 434*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1443*q + 8138 = -1994 + 2917 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830362003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2 + 447. Let t(v) = -1470*v**2. What is t(n(r))?\nAnswer: -5880*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99141161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:25 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 + 4*d - 5. Is q(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1486\/4 + (-3)\/(-6). Let c(i) = -i**3 + i**2 + 15*i + 28. Let t be c(-4). Calculate the highest common factor of o and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -3*r**2\/2 - r. Let z(u) = -u + 1. Let a(k) = g(k) + 3*z(k). Let l(o) = 5*o. Give a(l(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**3 - 17*r**3 - 3*r**3 + 71*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-915)*35\/14. Let h = -1.8 - -5.8. Which is the third biggest value? (a) -5 (b) 0.3 (c) y (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635573 (base 8) to base 3.\nAnswer: 101202120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/3 + -8\/3. Let x = -0.09 - 4.91. Which is the nearest to -1? (a) i (b) x (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aickiuuiii. What is prob of picking 1 c, 1 i, and 1 k?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 - 37620*o + 188104\/5.\nAnswer: -4*(o - 1)*(o + 47026)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.834 - -0.166. Let i = -10.5 + 0.5. Let o = i + g. Put -2\/7, o, 4 in descending order.\nAnswer: 4, o, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 32. Is 5 a factor of 44\/s - 2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Suppose 38 = 3*b + c*v, -3*v + 0*v = -5*b + 76. Let n be ((-4)\/b)\/((-2)\/14). Solve 9 = -o - n*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54321677*t**4*x - t**2*x + 39*t**2 + 10*t*x - 693*t - 3*x wrt t?\nAnswer: -1303720248*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -5, 187, -4, -39 in decreasing order.\nAnswer: 187, 2, 1, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*24\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 448421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n + 1. Let u(b) = b - 1. Let o = -2346 - -2345. What is o*a(y) - u(y)?\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 3. Let p(f) = -5*f + 47. Let d be p(8). Let b(x) = -4 - d*x - 7*x**2 + 13*x**2 - 8*x**2. Give b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5629898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 15. Let k(o) = -2*o + 2*o - 4*o**2 + 7*o + 2 + o**3 - 3*o**g. What is k(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s. Suppose -4*w + 1844 = -j - j, 5*j - 30 = 0. What is the lowest common multiple of w and i(-5)?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 242923*b**2. Let q(j) = -2*j**2. What is q(p(y))?\nAnswer: -118023167858*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1052151 and 2335.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7 + 5. Suppose r = 2*t - 0. Suppose -18 = -i - t*i. Solve -5*o - i = 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -524993, -1049987, -1574981?\n\"Answer: -524994*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138149*i**5 - 66419*i**2?\nAnswer: -8288940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2 + 5*z - 15. Let m be p(6). Suppose 0 = 28*x + m - 1879. Calculate the highest common factor of x and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.4 * 460681.\nAnswer: -17690150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-192)\/(-80)*(-410)\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -24*b. Let d(n) = -n**2 - 5*n + 8. Let y be d(-6). Let l be m(y). Let t = -5 - l. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -4. Let q = f + 4.8. Which is the closest to q? (a) -4 (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -560165154, -560165158, -560165164, -560165172, -560165182?\n\"Answer: -m**2 - m - 560165152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.2 - -20. Which is the nearest to i? (a) 4\/3 (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-2)\/(4\/(-2)) + 5. Solve -2*b + j + 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1872*b**4 + 2*b**2 - 3107*b.\nAnswer: 22464*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-8))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*q - 15, 3*p - 33 = -5*q - 55. Put 2, 4, p, -3 in increasing order.\nAnswer: -3, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129\/7 - -617\/35. Let o = -854.9786 - 0.0214. Let h = o - -854.8. Which is the closest to 0.2? (a) h (b) 2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14561*q - 343425 = 20586*q for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 15*r - 26. Let p be y(12). Let l(u) = -u**3 + 12*u**2 - 19*u - 5. Let t be l(p). Solve t*h + 16 = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.13. Let g = -44020 + 44020.0699962. Let r = g - h. What is r rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 250*p = 59*p + 10374 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 280 = -l. Find the common denominator of (106\/(-10))\/(6\/5) and l\/24*(-6)\/(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 + 6 - 7 - 8 - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*f - 6, 13 - 7 = 3*f - 5*q. Let w = -65 - -69. Solve 18 - f = -w*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 203*q + 497. Let j(u) = 427*u + 987. Let a(o) = -6*j(o) + 13*z(o). Give a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.64524 centimeters to meters.\nAnswer: 0.7864524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 20 - 20)*(-i - 1 + 1).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -20. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*p. Let c = -75 + 376\/5. Let j = -9\/95 + c. Are p and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*h + 4*h + 2)*(h + 3 - 3)*(-2*h - 3*h + 4*h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12336, -12333, -12330, -12327, -12324?\nAnswer: -12321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 9. Let o = -33 + -20. Let i = 89 + o. What is the remainder when i is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17448 and 12.7?\nAnswer: 17460.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r + 3*r)*(-2 - 2 + 5) - 7*r + 0*r - 4*r - 2*r + 0*r + 0*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.872 + 1.372. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x + 1. Let a(m) = -2*m**4 - 9*m**3 - m**2 - 9*m + 9. Let k(b) = -2*a(b) + 18*s(b). What is the third derivative of k(u) wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/281 (b) -0.4 (c) 0.5 (d) -0.1 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 7*a = -35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9474 <= 9478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 5. Let o(h) = 4*h - 5. Is o(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)\/(u*u**8))\/(u*u**0)**46)\/((u**(-5)*u**(6\/5))\/(u**2)**28) assuming u is positive.\nAnswer: u**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -1 (c) -13\/3 (d) -2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -477 + 482. What is the fourth biggest value in -3\/2, 4, -15, c?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 2168829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((8 - 0)\/4)\/(74 - 1). What is the fourth biggest value in j, 1, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954280733 a multiple of 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 2. Let p(r) = -r + 25. Let x be p(-11). Let o = -27 + x. Let h(z) = -5*z - 9. Give o*i(c) + 2*h(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 154460000 to the nearest 1000000.\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872)*-2 + sqrt(1872))*3*1)**2 + (-5 + 0 + sqrt(1872) + sqrt(1872) - (sqrt(1872) + -1 + -4))**2*-2.\nAnswer: 417456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-23)\/(-276))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g - 15. Let r be x(20). Suppose 18*c - 5*c = -r. Let b(n) = -7*n**3 + 9*n - 1. Let d(z) = 4*z**3 - 5*z. What is c*d(m) - 3*b(m)?\nAnswer: m**3 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18063915, -36127833, -54191751, -72255669?\nAnswer: -90319587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28375128 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 29. Let z(r) = -r**3 - 10*r**2 - 6*r + 19. Let q be z(-9). Let v be f(q). Let u(b) = -b**2 - 3*b + 4. Let k be u(-4). Sort k, -1, v.\nAnswer: -1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 (base 12) in base 3?\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5260 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 672243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 16*i - 13. What is the biggest value in 1\/2, i, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 - a + 552. Let m be x(0). Let b be 2\/5 - m\/30. Let f = -23 - b. Sort f, -25, 4 in decreasing order.\nAnswer: 4, f, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*v + 42 + 22*v - 41)*(-7 - 2*v + 7) to l*v + i + z*v**2 and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 7. Suppose -n - 12 = -5*o. Suppose -o*b - 45009 = -3*v, -4*v + 2*b = 6*b - 59988. Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25. Is 19 a factor of (-3 + f)*(-29)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3934.1 + -3934. Let b = 3.4 + -0.9. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 75. Suppose -4*z = -y - 23. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9421792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p + 15. Suppose -p*d + 25 = -0*d. What is the second derivative of -l - 2*l**5 + 5*l**d - 2*l wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12586447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.986222 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 8. Suppose 0 = 2*z - 6, z - 21 = -3*u - 2*z. Suppose -2*f - 25 = -5*y, 2*y + 0*y = -u*f - 14. What is the remainder when p is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-48))\/((-33)\/(-44))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14 and 113\/730.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwhowwnmhoowwoowbhnw. What is prob of picking 1 o and 1 b?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4662 = -5*h + 4*j, 346 = -5*h - 2*j - 4358. Is h smaller than -936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 60 - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -246.\nAnswer: -4\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {s: 1, o: 1, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7512 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110224500 (base 7) to base 13\nAnswer: -14b1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 1 + 0*l**6 + 0*l**4 - 4\/7*l**7 + 0*l**2 - 4\/3*l**3 + 0*l**5 + 0*l. What is the third derivative of r(s) wrt s?\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2423066, 2423077, 2423096, 2423123, 2423158?\n\"Answer: 4*d**2 - d + 2423063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 + -2.64. What is the second biggest value in q, -6\/7, 1\/9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 812 and 5144716.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.6 - -1.4. Let l = -11.05 + j. Let f = l + 0.01. Which is the biggest value? (a) f (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -4) + -30 + (-25 - -41) + -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33228\/351 + -95)\/(0 - (-2)\/50).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2851 divided by -3.\nAnswer: 2851\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 32 = 5*p. Is (-15)\/(-15) - 0 - 1170\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 + 11*s + 28. Is 49 a factor of z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 3*r - 4. Let t be v(-4). Suppose -d + t = -16. What is the remainder when 46 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**7\/210 + y**6\/12 + 11*y**3\/6 + 15*y**2. Differentiate x(i) wrt i.\nAnswer: -4*i**3 + 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-10) - -1*2. Let o be -2 - (v - -4 - 1). Let z(u) = -5*u - 7. Is z(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2473466074.180000638 + -2473466071. Let r = -3.18 + y. Round r to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 4*k**2 - k**4 + k**4)*(-6 - 2 - 3)*((0 - 6 + 5)*(4 - 2 + 0) + 6 - 6 + 5).\nAnswer: -66*k**4 - 132*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - 712?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(208) + (3*sqrt(208))**2 + 3*(sqrt(13) - sqrt(325))*-1.\nAnswer: 8*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*y**2 - 5*y + 59*y**2 + 8*y - 3*y + 19*y**2.\nAnswer: 152*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 19 - 51)*(-4*n**5 + 5*n**5 - 3*n**5) - 92 + 4*n**5 + 92 - 15*n**2.\nAnswer: 248*n**5 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 29*s + 6. Let f be y(3). Let c = -28 + f. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 31.0003. What is k rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 121. Determine f(19).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 14345754.\nAnswer: 1434575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37380 - 0?\nAnswer: -37380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (238\/(-408))\/((-12425)\/(-5680))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1689*r**3 - 512*r**3 + 2422*r**3.\nAnswer: 3599*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -41*b + 1. Let z be o(-1). Suppose -44*y = -z*y - 28. Suppose 213 - 1 = 4*d. Calculate the remainder when d is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - 120 - ((-7 - 1) + 23 + -3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -71. Let g = 81 - l. Suppose 4*h = u - 43, -5*u + g = -2*h + 7. Is -10 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 424\/(-104) - (-53)\/(-13). Let f(n) = -n**2 + n + 1. Let q(m) = 0*m**2 + 6 + m**2 + 2*m - 6*m**2. What is d*f(k) + q(k)?\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9242, 36681, 82414, 146441, 228762, 329377?\nAnswer: 448286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1877884 divided by -6\nAnswer: -938942\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*j - 55 + 1327. Let r be 428\/6 - 18\/(-27). What is the greatest common factor of r and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 633144 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4627 and -345432767.\nAnswer: -345432766.5373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.43 times 0.1?\nAnswer: -1.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64839?\nAnswer: 3, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 134?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2112?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -343565 + 4?\nAnswer: -343561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42689, 42693, 42699, 42707, 42717, 42729?\nAnswer: 42743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1002 or 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-300)\/(-9))\/((-10)\/(-15)). Let i = -46 + o. Find the second derivative of -4*c**4 + 12*c**4 + 19*c + 3*c**i wrt c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 16. Let x be g(-7). Let h = -1.5 + -1.9. Let b = 0.4 + h. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let g(x) be the second derivative of -5*x**3\/6 + x. Determine h(g(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q*q)**(2\/71)*(q**(2\/5))**(-26) assuming q is positive.\nAnswer: q**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n + 7*n - 3*n)*(-4 + 4 - 2) + 1 - 2*n - 1 + (-2*n + n + 0*n)*(2 - 4 + 4) + n + 2*n - 4*n)*(0*n - 5*n + 3*n + (-1 + 0 + 0)*(3*n - 18*n + 2*n)).\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135014385, 5, -5.\nAnswer: -135014385, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564)*5)\/(sqrt(144)*2 - sqrt(144) - sqrt(4)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -30*b**2 - 4*b + 17. Let i(j) = 14*j**2 + 2*j - 8. Let o(n) = -13*i(n) - 6*x(n). What is o(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 20*n**3 - 1608*n**2 + 9972*n - 15066.\nAnswer: 2*(n - 31)*(n - 3)**2*(n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(88)\/sqrt(288))**2.\nAnswer: 275\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49c (base 13) to base 9\nAnswer: -1084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (246\/108 + -2)*(-32)\/40. Sort -0.1, h, 5 in ascending order.\nAnswer: h, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n + 138. Let m(b) = -23*b + 483. Let t(h) = -2*m(h) + 7*q(h). Let l = -2 - -4. Let y(r) = -2*r**2 + 2*r - l*r. What is t(y(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 100000100100?\nAnswer: -100000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55647487303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 86238991, 86238990, 86238989, 86238988, 86238987?\n\"Answer: -z + 86238992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-21) + 108\/28. Suppose -5*a - 4*b + 25 = 0, 15 = -5*a - 2*b + 40. Suppose 11*y - a*y = 0. Solve c*g + 4 = -y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1634, -6706, -15172, -27038, -42310, -60994?\n\"Answer: -l**3 - 1691*l**2 + 8*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 2250\/236 + 138\/(-92) - -2*5?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z + 0*z + 9*z + 4*z - 21*z + (-5 + 2 + 2)*(2*z - 3*z - z) + 2*z - 2*z - z)*(0 + 4 - 2)*(23*z**4 + 19*z**4 - 5*z**4).\nAnswer: -444*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - l**2 + 2*l - 2. Let m be t(1). Suppose -m*r = -6*r. Solve -2 + r = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10 = -2*m, -4*m + 3*c - 1 = 45. Let l be (-396)\/(-60) + (-4)\/m. Suppose -l*f - 42 = -f. Let h(q) = -2*q - 3. Calculate h(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/31*1407\/2680?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {j: 8, x: 1, g: 4, s: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1\/8, 1 in decreasing order.\nAnswer: 1, 1\/8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t - 3. Suppose -2*r = t*r. Solve r*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39504707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-31.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5866 + 5892. Let d(m) = -m**3 + 28*m**2 - 51*m - 11. Give d(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*g - 6 = 574*g. Let c(u) = -4*u + 9. Let q(v) = -1. Determine g*c(l) + 6*q(l).\nAnswer: -4*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1358*n**3*v - 62*n**3 - 5*n - 1 wrt v.\nAnswer: -1358*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66576021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*y**3 + 54*y wrt y.\nAnswer: 906*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -5a?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1777435*0.1.\nAnswer: 0.01777435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*(5*(sqrt(891) + sqrt(891)*1))**2 - (-2 + 2*sqrt(891) + sqrt(891) - sqrt(891))**2*-6) + 0)*-5.\nAnswer: -9338160 + 8640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.005 - 0.005. Let g be 3\/(5\/(5\/2)). Which is the second smallest value? (a) l (b) g (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(128) - (sqrt(128) + -3)) + 3*(sqrt(128) + 2 - sqrt(128)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 267 + -263. Find the common denominator of 53\/16 and (-2445)\/(-252) + b\/(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -603.7 and -19.\nAnswer: -622.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 19*l + 338 = 0. What is the remainder when 205 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhuh. Give prob of picking 3 h.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -935 + 980 + (-48 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101001101 (base 2) to base 15.\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c + 28*c - 97*c + 24*c + 22*c + 18*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2. Let i = -5 - -7. Let s be c(i). Suppose 0 = -t - t + 8. Solve s*y = t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1 + 4*b + 6 - 2*b. Let d be c(-6). Is 13 a factor of d\/(-15) - 154\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 19 - 1. Let x = 6 - p. Suppose -x*d + 20 = -0*d. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 12. Let p = -44 + 51. Let l(z) = 5*z + 23. Let j(w) = p*h(w) - 4*l(w). Calculate j(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/540 + t**5\/30 - t**4\/4 - t**3 - 4*t. Let y(q) be the second derivative of s(q). Factor y(k).\nAnswer: -2*(k - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 8*j**2 + 19*j - 21. Give h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886691649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -159, -172, -189?\n\"Answer: -2*i**2 - 3*i - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 25335?\nAnswer: -886725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2403\/4 - -614. Find the common denominator of g and -33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -85 + (26 - 9) + -32.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 17*i**2 - 52*i + 571. Let z be g(16). Which is the nearest to 10? (a) z (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2637 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/28)\/((-14)\/(-56)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 997\/6058 + -5\/466. Let j = -8 + 13. Let p = 0.2 - 0.1. What is the closest to -0.1 in s, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) -362.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwwlwwulmgl. Give prob of sequence lw.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 868213*c**3 - 3*c**2 - 9376930 wrt c?\nAnswer: 2604639*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1109758112 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0348873 + 0.0353. What is s rounded to 5 decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3544 (base 9) to base 2.\nAnswer: 101001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 390?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/60 + f**4\/3 - 14*f**3\/3 - 48*f**2 + 78*f. Give s(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1049203499 rounded to the nearest 100000?\nAnswer: -1049200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -332 or -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 26, 45, 86, 155, 258, 401?\n\"Answer: i**3 + 2*i**2 - 10*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6300*b + 12565*b - 6283*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 233*v**2 - 154*v - 5. Calculate u(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -6 (b) 1 (c) -2 (d) -0.8 (e) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 8, p: 9}. What is prob of sequence iipp?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 9*x**4)*(3*x + 2 + 2*x - 10*x).\nAnswer: 45*x**5 - 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 3. Let t be u(6). Let h be t*(-3 - (-3 + 1)). Suppose 2*l = 5*z - 88, -l = 2*l - h. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1944*94\nAnswer: 206.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qavaacaaqavavqaava. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473*l - 149760 = -668*l. What is the lowest common multiple of l and 48?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517002636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 - (-16 - (-46 - -13) - 35)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4448207*i**3*x**2 + 14*i**2*x**2 + 122*i**2 + 2*i*x**2 + 143*i*x - 3*x wrt i.\nAnswer: -26689242*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.037. Let i = 0.036 + j. Let s = -0.073 + i. Which is the closest to s? (a) 4 (b) -0.12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659064.\nAnswer: 2, 3, 7, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trttntn. Give prob of picking 1 t and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242663 is divided by 60659?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-63958.\nAnswer: -76749.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 < 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let d(u) = -15*u**2 + 110401*u + 2. Calculate d(k(j)).\nAnswer: -15*j**2 - 110401*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8408 + 1129. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63533 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 3*c**4 + 0*c**4 + (-5*c + 4*c - 13*c)*(-4*c**2 + 4*c**2 + 2*c**3).\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3*v - 5*s**2*v**2 - 47*s*v**2 + 1092*v**2 with respect to s.\nAnswer: 6*s**2*v - 10*s*v**2 - 47*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00581141391 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11)*-1) + -2)*-6.\nAnswer: 6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -655, -1, -3.\nAnswer: -655, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13168*r**3 + r**2 + 18*r - 4. Let d be n(8). Let m = -2971911 - d. Suppose 5*q = -8230099 - m. Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2200))\/((sqrt(132)*1)\/sqrt(12)))**2 - (sqrt(3872)*2*4)**2.\nAnswer: -247008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/3 - 2223212*i\/3 + 1482140 = 0?\nAnswer: 2, 2223210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60418 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:48 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/57*6783\/(-63)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.112 + 5.112. Let n = -0.1 + 0.6. Put n, t, 2\/9 in descending order.\nAnswer: t, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -443659, -1773385, -3989595, -7092289, -11081467, -15957129?\n\"Answer: -443242*k**2 - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3 - 4 + 1 + 2 - 1 - 2 + 2 + (1 - 1 - 1)*(5 - 2 - 2) - 7 + 4 + 17)*(-2 - 2 + 4*d + 3).\nAnswer: 40*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-3))\/(19\/912*-20)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + n**3 + 4*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q**(-5\/3)*q))\/(q*q\/(q\/q**5))*(q*q**(1\/4))**(-35))\/(q**(2\/7)\/q**(2\/9))**(-5) assuming q is positive.\nAnswer: q**(-12793\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-496)\/434*(-33 - -5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 101 + -129c1?\nAnswer: -128c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/((6\/1)\/594) and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 2*f**2 + 0*f**2 - 137*f + 87*f + 1 - 2*f**2 to the form u*f + k + y*f**3 + t*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6454 - 6449. Put -3\/26, -2, -0.5, k in increasing order.\nAnswer: -2, -0.5, -3\/26, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 2*c - 2*o, -3*c = 2*o - 106 - 71. Let f = 95 - c. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-18)\/(-10))*3. Let o(g) = -g**2 - g**2 + 10*g - 3*g - i + 6. Determine o(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1018310 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 smaller than -41094\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 104.25 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**2\/2 - 1322. Let u(s) = s - 545. What is u(a(g))?\nAnswer: -g - 545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-161)*(11 - (-5 + -12)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260587, 260591, 260595, 260599?\nAnswer: 260603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-15))\/(1\/(2\/(-2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1325126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 3*c - 216. Let l = c - 140. Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from xmxmmxxxmxmx.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = f - 14 - 0, 2*f = 3*v + 8. Let p = f + -8. Suppose 104 = p*r + 30. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/3? (a) 0.4 (b) -2 (c) 1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 135. Let l be (-5)\/s + 126\/(-24). What are the prime factors of ((-24)\/(-2) + l)\/(4\/66)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - t = -4 + 21, 9 = a - t. Suppose 3*b + a = -4*w, 3*w + b - 6*b + 3 = 0. Sort w, 0, 0.3.\nAnswer: w, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3119.620603 to the nearest ten.\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 160. Let b(r) = -4*r**3 + 11*r**2 - 6*r + 8. Let y be b(4). Let t = s - y. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 times 0.422\nAnswer: -19.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 956358562?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4.6. Let q = y + 4.1. Let i = q - 3. Which is the biggest value? (a) -4 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s)\/(s**(-16)*s) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -397, -539, -725, -955, -1229?\nAnswer: -1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1918*d - 7 = -1917*d - 3*b, 5*b - 177 = -19*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzpzzepzez. Give prob of sequence epp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 54.4. Let g = 1.9 + -0.9. Put h, g, -4, 2\/11 in decreasing order.\nAnswer: h, g, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*((g\/g**(-2\/5))\/g*g*g)\/g*g*g**(-1)*(g*(g**0\/g*g)\/g*g)\/g*((g*g\/(g*g*g\/(g*g**(2\/9))*g))**(-1\/2))**(-7\/3) assuming g is positive.\nAnswer: g**(673\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1518934*i**3 + 157898.\nAnswer: 4556802*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from mybymbbbmbmmmybbbbm?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -220 + 216 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 58*q + 34 + 40*q - 140.\nAnswer: 98*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + 779*h + 6473. Determine p(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 2*n**2 + 8*n + 5. Let a be c(-4). Let g be ((-1)\/a + 0)*11565\/36. Let u = g - -65. Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 1. Let j(d) = d - 1. Calculate b(f) + 4*j(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4 - (-3 + -5)). Sort 0, j, 593 in decreasing order.\nAnswer: 593, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l + 14. Let k(s) = 30*s + 30. What is -2*k(y) + 5*u(y)?\nAnswer: 20*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1263 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 392*z + 66 = 387*z, 5*v = -5*z - 80 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:53 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3621, -3647, -3691, -3753?\nAnswer: -3833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751363391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 460*x**5 - 405*x**4 + 178933*x**2 + 8 wrt x.\nAnswer: 27600*x**2 - 9720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2 + -1) - 1. Suppose 12 = 5*y + j, p = -2*y - 0*y - 4*j - 6. Suppose -2*a = -3*h - 1, -h + 5*h - y*a + 2 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -102 (b) 0 (c) -11\/5 (d) 2 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -16 - -25 - -2) + 3 + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305 is divided by 215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18192736.9814 + 2.5?\nAnswer: -18192734.4814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0 + 0 + (-4 - 2 + 5)*(3*h - 4*h + 0*h) + 1 - 1 - 2*h + 0*h + 0*h + 2*h + (9*h + 3*h - 4*h)*(-2 + 1 - 1).\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -2)**2*-6.\nAnswer: -288 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*a**3 + 214*a**3 - 102*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 43*q**2 + 88*q - 77. Give f(39).\nAnswer: -2729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36280468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - (-33 + 21)) + 20.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335.04 - 335. Suppose 3*b = b + 4. What is the third smallest value in b, k, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3181\/4 - -801. Let d = k + -11\/2. Suppose 3*i = 5*i. Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -359, -502, -613, -686?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -682 + 4336. Suppose 2*l - r = -5*m, 0 = 2*m - 3*m - 4*l + 720. Suppose 6*i + 0*i - m = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5835257747664367\/1005 + 5806229340061. Let n = p + -2725470. Let g = n + 2\/201. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let f be x - (0 - -2)\/(-1). Suppose -3*m + f*b = 19, 6*b - 33 = -4*m + b. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 91*d + 399. Determine y(-10).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 2 s when four letters picked without replacement from {j: 1, s: 2, w: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*s**4 + 47*s**4 - 87*s**4 + (s - s + 2*s)*(18*s**3 + 20*s**3 - 19*s**3) in the form i*s**4 + d*s**2 + v*s**3 + q*s + g and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**5 + w**4 + w**3 - w**2 - 1. Let l(k) = 1 - 11*k**3 - 237*k**4 + k**2 + 129*k**4 + 116*k**4. Let j(c) = -l(c) - n(c). What is v in j(v) = 0?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 164, 1210, 4046, 9566, 18664, 32234, 51170?\n\"Answer: 149*y**3 + y**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let h be n(-5). Suppose 2*m - 10 + 0 = h*f, -m = 3*f + 6. Let k be ((-1)\/8)\/(1\/f). Sort k, 0.5, 2\/13 in increasing order.\nAnswer: 2\/13, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - 5*s**4\/12 + s**3\/3 + 2*s**2 - 13*s. Let i be t(4). List the prime factors of 4 - (i\/(-2) - 35).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 10) to base 7\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -67, -63, -61, -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 + (-1908)\/33. Let m = 78 + b. Calculate the remainder when m is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 35*w - 333 = -29*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3*1*3. Suppose -3 = -3*l + 3. Suppose 0 = -l*i + 3*i. Put 5, i, g in ascending order.\nAnswer: g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 10*k**2 + 6*k - 6. What are the prime factors of q(-7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49969699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2*g**2*h**3 + 1276*d**2*g*h**3 - 4*d*g**2*h**3 - 75*d*g*h + 2*d*h**3 - g**2*h - 1 wrt d?\nAnswer: 6*g**2*h**3 + 2552*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8406524 is divided by 312.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84833114 is divided by 22568.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - -16. Let l = 25 - 13. What is the remainder when k is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4785086, 4785085, 4785084?\nAnswer: 4785083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 7. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1426 + -0.1574. What is the second biggest value in -74, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*b + 13 + 36*b + 36*b)*(-5 + 2 + 5)*(-b**3 - 2*b**3 - 5*b**3).\nAnswer: 16*b**4 - 208*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1088*d**2 + 170*d - 170. Calculate t(1).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:02 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 2. Let t be 10\/(-15)*n\/2. Which is the second smallest value? (a) -0.5 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/10 and ((-515)\/15 - -10)*1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 4*g + 3. Let i be v(-2). Let c be -1 - 1*(i - -5). Suppose d - 9 = 3*x, -x + 4*x + 18 = -2*d. Is d > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -54\nAnswer: -25\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*p = 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 + 20 = 5*w, -3*w = 2*a - 18. Let i be (-4)\/12 - (-112)\/(-6). Let x be i\/10 + 6\/(-6)*-2. Put -0.3, x, -1\/2, a in increasing order.\nAnswer: -1\/2, -0.3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 1.73 (c) 3 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/6 (b) 4 (c) 0.4 (d) 3512 (e) 0 (f) -1\/57 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9077*b = 9004*b + 318280. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3*c**2 + 12 - 8*c**2 + c**2 + 2 - 2 + (c + 0*c + 0*c)*(c + c - 4*c).\nAnswer: -6*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2, 6, -1048?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42\/19 - -87\/38. Suppose 3*q = -2*c - 17, c - q - 17 = -18. Let t be (-6)\/(-1 + -2) - c. Is p bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a**(-3\/2)*a))\/(a*((a\/(a*a*a\/a**(-1\/4)))\/a)\/a)*(a*a*(a*((a\/(a*a**9))\/a*a)\/a)\/a)\/(a\/a**(-1)) assuming a is positive.\nAnswer: a**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6193.\nAnswer: 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 5, e: 3, z: 5, c: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.87 - 3.87. Which is the second smallest value? (a) -0.4 (b) 2\/19 (c) q (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 14*v - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*92.9872.\nAnswer: 371.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 25. Let b = 2241 - 2239. Suppose 4*l + l = -4*w + 223, -b*l + q*w + 109 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(2\/11))*l*l\/l**(-9) assuming l is positive.\nAnswer: l**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*p + 438 = 0, 16*d = 17*d + 4*p - 162. Does 31 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0353 - -313300059.\nAnswer: 313300059.0353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - -4.6. Let h = 9 - m. Let s = 551 - 1101\/2. What is the closest to -3 in h, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 1 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**4 - 153864*r**3 + 9*r**2 + 461598*r + 307728 = 0?\nAnswer: -51288, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89518739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5004\/7*d + 21060\/7 + 332\/7*d**2 - 4\/7*d**3 = 0. Calculate d.\nAnswer: 9, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v + 6. Let x(o) = 10*o - 6. Determine 5*x(b) + 4*y(b).\nAnswer: 14*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 10*s**2 + 7*s. Suppose 0 = 22*b - 21*b + 6. Is 12 a factor of d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 56*i - 7 + 133. Let k(f) = -11*f - 4. Let w(c) = -12*c - 4. Let d(r) = -5*k(r) + 4*w(r). Let b(a) = 6*a + 3. Calculate i*d(z) + 4*b(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8915, -4681, -447, 3787, 8021?\nAnswer: 12255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36e (base 15) in base 12?\nAnswer: -54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 35*a + 719. Calculate z(-23).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29772*c**3 - 15*c + 10 wrt c?\nAnswer: -178632*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-3)\/((-36)\/428))\/(72\/(-108)). Solve w*h + 92 + 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 19*k**2 - 8*k + 86. What is z(9)?\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23776 is divided by 3936?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.42 to 1 dp.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/84915 and -103\/10368.\nAnswer: 32607360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 23*o + 80. What is t(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.1034 nanograms to grams.\nAnswer: 0.0000000641034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15111 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404612210 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1 + 3*a - 3*a - 3*a. Let y be u(1). Let p = -2 - y. Solve j - p = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**3 - 2*i - 2. Let w(g) = -8*g**3 - g - 1. Let a(b) = -4*u(b) + 5*w(b). Let x(d) = d**3 - d - 1. Calculate -a(y) - 3*x(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 + 7*c + 7. Suppose 3*t - 17 = 3*o + 2*t, 0 = 4*o - 2*t + 24. Let n be x(o). Solve 2*m = -v - 2*v + n, 2*m - 14 = -v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbbb. Give prob of picking 3 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -16, 15, 4, 5.\nAnswer: -16, 4, 5, 15, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/(-65) - 8\/104)\/3. Factor 2\/5 - 3\/5*p + j*p**2.\nAnswer: (p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 4872*p\/13 - 9752\/13.\nAnswer: 2*(p - 2438)*(p + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.397543 rounded to 3 dps?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 21*t + 51. Let n be a(23). Suppose 0 = -4*d + n*d - 2179. Suppose -3*o + d = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 5*n**2 + 4*n**2 - 4*n**2 + (3*n + 0*n - 2*n)*(-4 - 2*n + 4).\nAnswer: -7*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157847 is divided by 655?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -82450 divided by 16490?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j, 4*j = 2*m - 0*m + 42. Let x = m + 27. Factor -6*b**3 - b**2 - b**x + 14*b**2 + 4 + 2*b**4 + 2*b - 14*b.\nAnswer: (b - 2)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.08 (b) -2\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + b + 0)*(-3*b - b + 2*b)*((1 + 3 - 6)*(-2*b + 0*b + 4*b) - 12 + 12 - 11*b) in the form t*b**3 + f*b**2 + z*b + h and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-364172)\/(-16) + (-11)\/(-44). Let c = f + -9010. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + 7*k - 1. Let x be j(6). Let q = 10 + -2. Does 8 divide q\/x*30\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869676536.\nAnswer: 2, 3, 157, 313, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58848.74g to kilograms.\nAnswer: 58.84874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -w + 5*l - 4, 12 = -w - 4*l. Solve h - 5*p + 22 = w, -4*h - 5*p + 17 = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 - -80556844?\nAnswer: 80556731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*n**2 - 470*n + 470*n)*(7 - 2 - 3)*(-n - 2*n + n)*(-13*n + 13*n - 12*n)*(-2 - 2 + 3) to u*n**3 + h*n**2 + a*n + q*n**4 + c and give q.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 6. Let y = 78 + -73. Suppose 0 = -2*n - t + y. Are n and 2\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 23570334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 18*b**2 + 17*b - 27. Let r be v(-19). Suppose u = h - r, h + 3*u + 1 = -0. Does 21 divide (h\/(-20) + 1)*135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 147259\/28 - (-9)\/12. Round i to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18082824839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 72*m**2. Suppose 0 = -2*x + 2*c + 14, c - 3 = -4*x - 0*x. Let k(q) = -49*q**2 - 36*q**2 + 87*q**x. Determine k(v(p)).\nAnswer: 10368*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17e7 (base 16) to base 6\nAnswer: 44155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*w + 136*w - 83*w.\nAnswer: 223*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163126 is divided by 5435?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + sqrt(65)*-1) - sqrt(65))*1 - (-1*sqrt(65)*-1 - sqrt(65)))\/(sqrt(500) - sqrt(500)*1 - (sqrt(5) - (-2*sqrt(60))\/sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 1. Let k be 8 - (0 - -2) - t. Let x = -127672 + 127672.5. What is the closest to -1 in k, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v**2 + 435*v - 1978. Calculate o(31).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -658 - 9*c + 658 - 6*c**5 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**9)\/((w**(9\/5)*w)\/w))\/(w\/(w**(1\/3)*w))**(2\/11) assuming w is positive.\nAnswer: w**(-1607\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -685 divided by 137.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*q**2 + 2*q - 714 + 709 + 6*q**2 - 3*q**2 as u*q**2 + s + r*q and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) 95 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + -1)*6) + 1)**2.\nAnswer: -70*sqrt(19) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1052501 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3264 and -43\/20997771.\nAnswer: 1343857344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(475) + -5)*-6 + -6*((sqrt(475) - (sqrt(475) - sqrt(475)*-1)) + -5 - (1 + sqrt(475) + 1 + sqrt(475))))**2.\nAnswer: 47520*sqrt(19) + 633024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5930.9+119.3045\nAnswer: 6050.2045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - k - 6. Suppose -7*c - 7 = -42. Let s(l) = 3*l**2 + l + 5. Give c*g(v) + 6*s(v).\nAnswer: 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-49))\/(9\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45\/2 - 23. Let k be (-31)\/(-75) - 6\/75. What is the closest to v in k, 3, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*d - 15161 = -2507 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47041.76 centuries to years.\nAnswer: 4704176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 - 7 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 2*k + 1991. Is c(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f - 54 + 54)*(-3 - 5 + 1).\nAnswer: 119*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u**2 - u. Let f be s(-1). Suppose 82 = 2*i + 76, 0 = -5*h - 3*i + 29. Find the common denominator of (2485\/30)\/7*h\/f and 40\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 20*t**2 - 41*t + 113. What is the remainder when 38 is divided by w(18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 - 2*p - 3. Suppose 2*i = -5*w + 22, i - 6*i + 13 = 2*w. Let m be 4 - 14\/(w\/2). Let g be ((-6)\/m)\/(1\/(-2)). Give t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42986 or 42987?\nAnswer: 42986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 10*c + 2838. Suppose -z = 5*x - 598, -3*z - 348 = -5*x + c. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -549.96 + 550. Which is the closest to 0.05? (a) -1\/6 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36080.03l?\nAnswer: 36080030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 6 = -4*o. Let l(v) = 11*v - o*v + 7 + 3*v. Let m(b) = -2*b**2 - 3*b + 13. Let n be m(-4). Let s(x) = -9*x - 8. Give n*l(f) - 6*s(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/210 + r**6\/40 - r**4\/6 - 14*r**2. Determine g so that m(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 150774018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2. Let n(w) = 17*w**2 - 12*w**2 + 10 - 9*w - 8*w + 15*w**2 + 2*w. Let a = 4 - 3. Let m(x) = a*n(x) - 15*o(x). Let m(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millisecond in microseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8924, -375, 0, 1 in increasing order.\nAnswer: -8924, -375, -7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1195779002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -38, -1, 2\/5, 116\/5, 0.3 in ascending order.\nAnswer: -38, -1, 0.3, 2\/5, 1, 116\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, l: 11}. What is prob of sequence llll?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -484*h + 2853. Give n(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 10. What is z(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.258 - 141.258. Let d = -1443198640 - -1443198499.0000138. Let g = d - h. What is g rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -91*g + 69 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68, 35, -118, -433, -952?\n\"Answer: -7*r**3 - 18*r**2 + 70*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - ((-75)\/12 - -3). Which is the closest to -3? (a) n (b) 1 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d + 2*d. Sort 3, d, -4.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**10\/151200 - z**6\/720 + 2*z**5\/15 + 15*z**2. Let f(u) be the third derivative of t(u). Differentiate f(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 241 = -3*u. Let i = u + -90. Factor 1\/6*y**2 + 0 + i*y.\nAnswer: y**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231\/63*(-12)\/(-198)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3035451, -3035466, -3035495, -3035544, -3035619?\nAnswer: -3035726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37588?\nAnswer: 2, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 1419682*q - 5678712 = 0. What is q?\nAnswer: 4, 1419678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*d - 7*d**2 - d**3 + 15 - 12 - 22*d + (0*d**2 - 4*d**2 + 2*d**2)*(7*d - 3*d - 3*d).\nAnswer: -3*d**3 - 7*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13551197 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-40)\/14462) + 8\/80. Are v and -722 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + 0*k**2 + 0*k**2)*(5*k**2 - 2*k**2 + 0*k**2 + (-5*k - 6*k + 4*k)*(0*k + 2*k + k)) in the form t*k + m*k**2 + c*k**4 + b + j*k**3 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6229, 12251, 18265, 24271, 30269, 36259, 42241?\nAnswer: 48215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from hhxhhuxug.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365, 1337, 1291, 1227?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 771 = -5*g + 2149, g + x - 272 = 0. Differentiate 2 + z**4 + 275*z**2 - g*z**2 wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 113000. Let n be y(0). What is n rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/((-4)\/(-8))*-1868. Let d(u) = -m + 934 + 3*u**2. Let y(g) be the first derivative of 2*g**3\/3 + 1. Give d(y(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 14 - 42. Suppose 3*o - 56 = -v + 86, 58 = o - 5*v. What is the smallest common multiple of o and d?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1630 divide 1038414021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 922372286 to the power of 1\/2, to the nearest integer?\nAnswer: 30371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 135\/1107062?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 9 = 2*y - 7, -4*y + 4*k - 12 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 15*s + 247 = -4*i, 7*i = 4*i + 2*s - 164 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 - (-85)\/20. Suppose 0 = 5*s - m*s - 635. Suppose 4*o - s = -o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 1. Let s(n) = 21*n - 22. Let g(z) = 4*p(z) + s(z). Let q be g(13). Find the first derivative of -2 + 188*r**2 - q*r**2 + 7 wrt r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 283*m**2 + 21 - 286*m**2 - m**4 - 10 - 2*m + 568*m**2 as v*m + s + c*m**4 + u*m**3 + w*m**2 and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**6\/6 - 2*f**3\/3 + 4. Find the third derivative of d(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b92202 - -11?\nAnswer: b92213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-120)\/25*(-40)\/(-6). Let i = o - -35. What is the closest to -0.1 in 5, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1046\/13 - -8699\/117. What is the common denominator of (-3 + (-105)\/(-36))*146 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 1\/4*q**3 + 1\/2*q**4 - 5\/4*q**2 + 0 + 1\/2*q = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97524250.\nAnswer: 2, 5, 390097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2 - 2) + 3. Suppose -2*u - 8 = -o, -p*o + u - 4 + 17 = 0. What is the least common multiple of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44994.8426 minus -336860?\nAnswer: 381854.8426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 564779726 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 587, -22, 3, 18 in descending order.\nAnswer: 587, 18, 3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 3 + f**3 + 2 + 28*f**3 + 8*f**3 - 11*f**3 + (-5 + 5 + 1)*(4 - 4 + 2*f**3).\nAnswer: 28*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31173725 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 2*u - 4. Suppose 46*l = -12*l + 16*l + 294. Let z(b) = -b**2 - 2*b + 4. What is l*z(w) + 6*c(w)?\nAnswer: 5*w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62064*0.1.\nAnswer: 6206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2744, -2\/3, -1\/5, 1\/9, 936.7, -0.3?\nAnswer: 2744","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + -30?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2709 - -2711. Solve -f*p - 17*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4512*a. Let r(o) = -55*o. Let s(x) = 4*b(x) + 329*r(x). Let f(z) = -z**2. Determine s(f(g)).\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - -99. Let c = -149.95 + g. Let y = c - 13. What is y rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/(-42))\/((-2)\/7). Suppose m*x - 72 = 64. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 88.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4383 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -15, l - 2*l + v = 2. Suppose -2*y + 124 = 114. Suppose -y*d - 6 = -2*d, 109 = 5*u + l*d. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 641*v + 43181. Determine d(63).\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 90\/5*(-228)\/(-152).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -60*s**2 - 30*s - 10. Let n be c(-9). Round n to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**2 + 11*p. Let n(o) = -3*o**2 - 4*o. Let b(i) = -2*d(i) - 7*n(i). Let q be b(-6). Let a = 3 - q. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084628 minus -0.08?\nAnswer: -1084627.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let y be (-124)\/k + 3\/(-9). Let l = y + 34. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose -f + 5*z = f + 10, 17 = f + i*z. Suppose 35 = f*y - 15. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by -260\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbso when four letters picked without replacement from {o: 2, s: 2, b: 3, e: 2, p: 4, k: 3}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/10)\/((-11)\/(-77)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 49 = -1. Let m(y) = 0*y**2 + y**2 + 3 + 0*y**2 - 5*y. Calculate the remainder when o is divided by m(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 1966630537.\nAnswer: 1966630537.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 6. Let b be j(0). Let d(s) = s**2 + 3. Is d(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572 and 4.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.9. Let i = -0.4 + y. Let f = 15 + -18. Which is the third biggest value? (a) 0.2 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14083*v - 7228*v - 7253*v)*(2 - v - 2) to t*v + h*v**2 + i and give h.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (81 + -43) - 5.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (21 - (15 + -7)) - -4 - (2 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 5. Let y = 279 - 194. Suppose 2*j = -5*u + 55, 0 = -3*j - j - 5*u + y. Suppose -3*g = -2*m - 8 - 7, -j = -3*g + 3*m. Calculate a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 6. Let i be q(-5). Let o be (-2)\/(-9) + (-25)\/i. Suppose f + o*b = 4, -16 = -4*f + b + 3*b. Solve -f = -2*c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 110109*x - 60. Determine d(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 61 = 4. Solve 3*d + 1 - r = 0, 2*v = 3*d - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*q**2 - 84*q**2 - 13*q**2.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160205*g**3 - 1913510*g**2 - 107275*g - 1500.\nAnswer: 5*(g - 12)*(179*g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 3.\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - f + 0*f)*(1 - 3 + 0) + 2*f - 17*f - 2*f + f - 4*f + 5*f - 1 + 1 + f + (0 - 1 + 0)*(-f - 2 + 2) + 4*f - 5*f + 6*f to c + j*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*j + 6, -j + 4*r = 5*r - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 2929 = -2959. Suppose -4*g + 0*c + 4*c = 4, 5*g - 23 = -2*c. Suppose 9 = a + 2*m, 3*a - 6*a + 2*m = -19. Put g, a, x in increasing order.\nAnswer: x, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.3. Let v be (-3 - 1) + 24\/3. Suppose -k = a + 4, -a - v = 2*k - 0. What is the closest to 2\/5 in -1\/8, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 6 (b) -3\/7 (c) -3 (d) -1 (e) -338\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1046*u**3 - 7*u**2 + 69 - 24 + 1045*u**3 + 6*u. Let c be m(-7). Solve 5*s - 9 + 44 = -5*v, -31 = c*s + 5*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2459\/81593?\nAnswer: 2459\/81593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*s + 1046 + 729 = -887 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**1)*u*u*u*(u*u\/((u*(u\/(u\/(u*u**(-1)))*u)\/u)\/u)*u)\/u*u*(u\/u**(2\/7)*u)**(-2\/57) assuming u is positive.\nAnswer: u**(657\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u, -s + 3*s = u + 642. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/9 in -2, -0.16, -4\/3, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3383453, 3383454, 3383455?\n\"Answer: o + 3383452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*v - 146*v - 1 = o, 0 = 4*o + 2*v + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*g**2 + 177*g**2 + 1252*g**3 - 341*g**2 + g + (-4*g**3 + 4*g**3 - g**3)*(-1 + 5 - 2)*(-4 + 1 + 1) as k*g**2 + l*g**3 + d*g + x and give l.\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 2*h + 22. Determine g(-10).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -4. Let z = 264 + -164. Suppose 0 = -104*j + z*j + 28. What is the smallest common multiple of j and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-36)\/120). Suppose 5 = 3*l + k*r, 3*r = 3*l - 0*r + 3. Solve 5*p - 21 + 1 = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*k - 97 = 0, -1483*c - 2*k = -1479*c - 78 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2) + (-116)\/(-4). Calculate the greatest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 135*n = 132*n + 182, 15*x = 2*n - 15 - 92 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 108*d + 321. Determine l(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*b - 2*b - 9, 5 = b - z. Let o be (-4 - (b - 14)) + (-3)\/1. Solve -o*h - 2 = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 12*t**2 + 12*t + 27. What is the units digit of g(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 479, -2, -1016 in descending order.\nAnswer: 479, 1, -2, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -0.5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 6110*m - 898605.\nAnswer: -5*(m - 1051)*(m - 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7680051 divided by -1\nAnswer: 7680051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, i: 3}. What is prob of sequence gi?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214.5 + -214.3. What is the second biggest value in -4\/9, 1\/8, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + -4 + 5 + -1*sqrt(180) + (-4 + -2*sqrt(180))*4)**2 + -2.\nAnswer: 1404*sqrt(5) + 14751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42146.15s to milliseconds.\nAnswer: 42146150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/5 + 14\/15. Let o = 1 - -3. What is the biggest value in o, p, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 158760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 36*x + 28, 4 - 2 = -x + 5*x + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 15 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 8*h + 2. Let r be c(-8). What is the second derivative of -36*w**2 + 19*w**r + 17*w**2 + 2 + 2*w - 4*w**4 - 2*w**3 wrt w?\nAnswer: -48*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**2 - 3*h + 4. Determine m(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/30 + 7*g**4\/24 - g**3\/3 - g**2. Let w be d(-5). Let x = 358 - 215. What is the greatest common factor of w and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 910 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 12*m. Let r(y) = -y + 6. Let n be r(2). Suppose -4*i - n = -4*o, -o + 0*o = -4. Let q(g) = 2*g + i*g - 2*g**2 - 5*g. Determine j(q(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = i + 16, -35 = 5*i - 111*j + 112*j for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77, -153, -229, -305?\n\"Answer: -76*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 422.85 * 845\nAnswer: 357308.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248*o**3*s**3 - 2*o**3*s**2 + o**3*s + 5*o**2*s**3 + 327*o**2*s wrt s.\nAnswer: 1488*o**3 + 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/7 - 160*t**4\/7 + 3914*t**3\/7 - 29044*t**2\/7 + 11840*t - 11200 = 0.\nAnswer: 2, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25522 (base 7) to base 8.\nAnswer: 15172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -d + 2, -2*x = d - 2*d + 3. Let q be (-1 + 5 + -3)\/(-6)*2. Which is the biggest value? (a) d (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*u**5 - 30012*u**4 - 350240*u**3 + 9167840*u**2 - 17567424*u + 1748032 = 0 for u.\nAnswer: -382, -26, 2\/19, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-49))\/(6\/14)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1*(0 - -1). Let o be (4\/(-6))\/(1\/r). Let l be 5\/(-3)*396\/(-165). Is o at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 25044?\nAnswer: 25050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126984 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -30 + 65 + 0*v + 2*v - 33. Give n(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - n**2 + 3*n**2 + (n**2 - 11*n**2 + 0*n**2)*(-2 + 3 + 1) - 2*n**2 + 6*n**2 - 3*n**2 to z*n**2 + r*n + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, 19, -6 in ascending order.\nAnswer: -6, -5, -1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64, -77, -458, -1199, -2420, -4241?\n\"Answer: -20*w**3 - w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*m**6 - 165*m**4 + 50*m**3 + 406286*m**2 + m?\nAnswer: -8880*m**3 - 3960*m + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 3, c: 1, z: 4, l: 5}. What is prob of sequence cl?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ccccdcdcccdccd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -7 + -1 - (-3 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.1 (b) 4 (c) 0.3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24628, -23819, -23010, -22201?\n\"Answer: 809*s - 25437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3529 - -3755. Let t = -164 + 26. Let w = q + t. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydyddddddddd. Give prob of sequence dd.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**1)**(36\/5)\/(((s\/((s\/((s\/(s\/(s**(-2\/17)\/s)))\/s))\/s*s)*s)\/s)\/s*s*s\/s**3)**20 assuming s is positive.\nAnswer: s**(6847\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*60\/(-45)*(-10)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*(3 + sqrt(931) + sqrt(931)) + -3 + -1*sqrt(931) + sqrt(931))*4)**2.\nAnswer: 72576*sqrt(19) + 2156688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64.155 - 64. Let k = -45.262 - -45.562. Which is the biggest value? (a) k (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 2*x**2 + 2*x + 1. Let a be q(3). Suppose -7 = -5*g + 4*i, 4*g + 4*i + 9 = -7. Let w(t) = t. Let v be w(2). Put a, v, g in descending order.\nAnswer: v, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-160)\/(-5))*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q + 1. Let i be p(7). Let z = i + 63. Is z < 8\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 2*x + 2*x)*(-864*x + 2474*x + 2542*x - 762*x) as c*x**2 + m + i*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 67. Let p = 910917.65289927 - 910977.6529. Let n = p - l. Round n to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/(-1))\/7)\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from lwblbfwbfwfwoffwffl?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21984)\/(-1145) - 48\/(-36)*9\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 k when four letters picked without replacement from {s: 1, k: 9, j: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*10*(-27)\/1980)\/(-4)*52\/(-3)?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 781800103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v + k + 2488, -4*v + 3*k = -1997. What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 7. Suppose -h + 23 = 5*b. Suppose 0 = d + b - 14. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 1\/21, 64\/7 in increasing order.\nAnswer: 1\/21, 64\/7, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -15\/2*i + 75\/4 + 3\/4*i**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5 - 1560*o**4 + 1568*o**3 + 1560*o**2 - 1564*o = 0. What is o?\nAnswer: -391, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 359242420*i**4 + 2*i**2 + 1272*i - 124?\nAnswer: 8621818080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133832678.\nAnswer: 2, 7, 9559477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let w be (-3 - 37\/(-13)) + (-200)\/52. Let s be 1 + g\/2*w. Which is smaller: s or 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 4*a + 1 + 4*a. Let d(c) = 7*c + 9. Let k(q) = 10*q + 13. Let m(r) = -7*d(r) + 5*k(r). Let p = -219 - -216. Determine p*g(z) + m(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23230359?\nAnswer: 3, 421, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9660, 9657, 9652, 9645, 9636, 9625?\n\"Answer: -k**2 + 9661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2, -46*j + u = -48*j - 1. Sort j, 2, 82, 4 in increasing order.\nAnswer: j, 2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125701 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/168)\/(3\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g - 40. Let u be 2\/8 - (-2)\/g. Suppose y + 1 = -u. Which is smaller: 2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a hour in minutes?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/210 and ((-6920)\/2400)\/((6\/8)\/((-3)\/10)).\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - -5) - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x + 11. Let g = -11 - -6. Let k be i(g). Suppose 8*p = k + 16. Solve -p*b = b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-47)\/(-1)*3\/15.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5714594*i**2 + 1505869*i + 14?\nAnswer: 11429188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 3*l**2\/2 + 4*l + 9. Let k be m(1). Suppose 0 = -10*u + k*u - 3600000. Round u to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + i + (-i + 0*i - i)*(0 + 4 - 3) - 6*i - 13 + 13 - 2 + 10*i - 14*i + 9.\nAnswer: -11*i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 3*y + y + (0 - 4 + 2)*(-1 - y + 1).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 0*q**2 - 2*q**2)*(-2 - 5 - 2)*(-3 + 3 - 2)*(-2*q + 2*q + 2*q**2).\nAnswer: -216*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1079 to the nearest 10.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-356*f - 278*f + 201*f - 418*f + 165*f)*(-10*f + 1 - 1).\nAnswer: 6860*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 100 = -2*g, 5*r + g - 4*g = -125. Let d = 66 + r. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105306 (base 7) to base 11\nAnswer: 13038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k + 56 = 39*k. Let u(j) = -k - 8 - 2 + 264*j - 257*j. List the prime factors of u(9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000093297 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73535 by 55.\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*g - 9, 242*g - 177*g = -3*o - 77 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/(t*t**(-22))*t**39*(t**(-7\/12))**(-8\/9) assuming t is positive.\nAnswer: t**(1715\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165 divided by 5?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 9. Let p be v(5). Suppose -p*j + j = -78. Let k be j\/(-12) + 2\/12. Is k >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 32*q**2 + 33*q - 50. Calculate the remainder when 92 is divided by c(31).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 69792*w.\nAnswer: 4*w*(w + 17448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/8)*s*s*s**(1\/15)*s**10*s**(8\/3) assuming s is positive.\nAnswer: s**(1903\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3051.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57591)\/237*(-32)\/216?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948174 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4073, 16331, 36761, 65363?\nAnswer: 102137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000003781 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*s**3 + 88682*s**2 + 80*s**3 - 88683*s**2 + 2 to the form q*s**2 + i*s**3 + x*s + b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664.4542 years to decades.\nAnswer: 66.44542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-12)\/270)\/2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*r + 10 = 0, 5*m = -8*r + 11*r - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 7990*u - 7989*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/11, -1, 5, -391?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4 (c) 61 (d) 9 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 993884*j**2*u**2 + 2*j*u**2 + 494*j*u - j + 2*u + 83 wrt j.\nAnswer: 1987768*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -17 - (75 + -96)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45665596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506520 and 56280.\nAnswer: 506520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*v - 49*j + 51*j, 6*v - 34 = -5*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**5 - 417*h**4 - 5626*h**2 wrt h.\nAnswer: -180*h**2 - 10008*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -2*y**2 - 1\/270*y**6 + 1\/6*y**4 + 0 + 0*y + 1\/45*y**5 + 5\/3*y**3. Let j(z) be the first derivative of g(z). Factor j(c).\nAnswer: -4*(c - 3)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, 1366, 2965, 4564, 6163, 7762?\nAnswer: 9361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-4\/11)*((o**(-1\/3)\/o)\/o)**(-15) assuming o is positive.\nAnswer: o**(389\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -70\nAnswer: -43\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9352, 2, 5, -22, 4, 3 in decreasing order.\nAnswer: 9352, 5, 4, 3, 2, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017227 a multiple of 2231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2 - (-6)\/(-14 - -2). Suppose k - z*g = 5*k - 40, 2*k = -5*g + 20. Calculate the highest common divisor of k and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - (14 + 1 + (-107 - -40 - -52)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - r + 926. Let i be j(0). Suppose 6*b = -i + 2246. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1003131?\nAnswer: 1003200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 2, p: 6, a: 1}. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 1 - (19 + (-13 - 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-84)\/8)\/(-7))\/(-12)*2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 682*y + 103738. Determine j(229).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 101, 212, 323, 434, 545?\n\"Answer: 111*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -14. Let w = -3 + c. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -5, -1\/4, -7\/4, -1\/14 in decreasing order.\nAnswer: -1\/14, -1\/4, -1\/3, -7\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + ((sqrt(2057) - (sqrt(2057) + sqrt(2057) + -1 + -3 - sqrt(2057))) + -5*(sqrt(2057) + 2 - sqrt(2057)))**2) + -3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqll when four letters picked without replacement from zqqlllzzlzl.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b + 6*b**2 - 2*b**2 + 0*b**2 - 2*b wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 2 - y - 4*y**2 - 4*y**2 - 10*y**3 + 6*y**2 + 0 in the form q*y**2 + p*y**3 + m*y + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, f: 5}. Give prob of picking 1 g and 2 f.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-16))\/((-2)\/(-4)). Let j be -15 + 23 + (y - 5). Find the second derivative of -55*x**j + 55*x**4 - 7*x + x**5 - 7*x wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z - 2*z**2 + 6*z + z**2. Let s(l) be the third derivative of l**6\/60 - l**5\/15 + l**4\/4 + 2*l**2. Calculate -s(b) + 4*w(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7647.\nAnswer: 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -43*x + 2. Let r(v) = -12*v**2. Give p(r(l)).\nAnswer: 516*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171517?\nAnswer: 171517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 2, o: 10, n: 4}. What is prob of sequence aoaz?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 1440.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 3*u + u. Let a(g) be the first derivative of -g**2 - 9. Give t(a(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 756446.72 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16677453127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(((sqrt(832) + 1)*3 - (-2 + sqrt(832)*-2)) + 3 + -2))**2.\nAnswer: 1920*sqrt(13) + 83344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -544335*f**2*h**2 + 79486*f**2*h - h wrt h.\nAnswer: -1088670*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 1, m: 1, y: 1, s: 2, z: 1}. Give prob of picking 1 y, 1 f, 1 s, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -206*v - 19. List the prime factors of u(-18).\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {e: 1, k: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**4 + 20*b**4 - 26*b**4 + (-2*b + 2 - 2)*(-3*b - 4*b + 3*b)*(2*b**2 - b**2 + 4*b**2).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**11))\/(n**(1\/2)*n)*(n*n\/n**(1\/28))\/(n**16*n) assuming n is positive.\nAnswer: n**(-155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 3. Let z = -18 - -50. Suppose 0*p - 4*p = -z. List the prime factors of n(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9328752 and 32650632?\nAnswer: 65301264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-32)*f**(1\/17))**(1\/2) assuming f is positive.\nAnswer: f**(-543\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 700 + -697. Let x(p) = 3*p**2 - 5*p - 2. Let a(g) = -4*g**2 + 6*g + 1. Let v(l) = 2*a(l) + 3*x(l). Give v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -8 (b) 0.1 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o - 2*o - 2*o + 0*o + o + (2*o - 2 + 2)*(2 - 1 + 1) + 0*o - 5*o + 3*o - 2*o - o + 5*o + 1)*(-o - o + o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 2)*115\/(-138). Solve -5*y - t*r + 10 = 0, -4*y + 2*r - 13 = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.19 at most as big as 39378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*a - 4, 7*a - 2*a = -3*d - 5. Is 10 a factor of (-28)\/((-3 - -1) + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126*50\/2250)\/((147\/180)\/(-7)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -21, -23, -27, -33, -41?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**7\/630 - s**5\/180 + s**2\/2 - 2. Let v(k) be the second derivative of r(k). Find p such that v(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8925296 and 0.3.\nAnswer: 2677588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z + 20*z - 5*z - 8*z + z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 6. Let d(b) = b**2 - b + 2. Let u be d(3). Let z be (-98)\/u + (-8)\/(-32). Let x = z + 1. Let w(f) = f - 2. Give x*w(i) + 4*k(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1806 + 3517\/2. Find the common denominator of -41\/30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1869.3 + -0.15772187.\nAnswer: -1869.45772187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 12. Let c = -146 + 204. What is the remainder when c is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1083823682*k**5 + 3251377930*k**4 - 3251191700*k**3 + 1083544340*k**2 + 93110*k + 2.\nAnswer: -2*(k - 1)**3*(23279*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38411 is divided by 17230.\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336980908 is divided by 339.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.65336 - 17477.63.\nAnswer: -17476.97664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1316.19 + 1316.9199798. Let l = 0.73 - x. Round l to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -5\/2*v**2 + 4*v + 1\/3*v**3 + 54. Calculate y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -32*(-4 - (380\/16)\/(-5)). Suppose 0 = o + h + 5, -3*h = 2*h + 15. Calculate the smallest common multiple of 1 and (-4)\/(-6)*w\/o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 4*r + 2. Let s be (27\/(-2))\/((-12)\/32). Suppose 0*p - s = 4*p. Let v(o) = -7*o**2 - 9*o + 5. What is p*k(n) + 4*v(n)?\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 - 41*n + 456 - 819 + 399)*(-1 + 2*n + 1) to the form j*n + z + b*n**2 + m*n**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/88)\/(198\/48)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*f**2 - 47541 + 47541 + (-3*f + 0*f + f)*(0*f + 3*f - 2*f) + (0 - 1 - 1)*(2*f**2 - 3*f**2 + 3*f**2) to the form h*f**2 + k*f + z and give h.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -482*d + 2880. Calculate f(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/81 - 16\/81. Let f = -0.05 - 0.15. What is the second biggest value in b, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.0516 and 0.3.\nAnswer: -0.31548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/(3\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -112*u**3 + 485*u**2 - 941. Find the second derivative of s(t) wrt t.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 10) + (-6 - -4) + -23 - (9 - 12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5595, 6, 2.\nAnswer: -5595, -5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0.413, 0, 0.4, -0.1, 2\/185, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*q**3 - 173*q**2 + 30165*q?\nAnswer: -168*q - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6014 + 3366 = 3*w - 4*g, 3*g = 3*w - 9375. What are the prime factors of w?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128\/7 - -130\/7. What is the third smallest value in 2, -4\/9, s, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1.4 (b) -0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/6443?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 - -286. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 734*b**3 - 11*b**2 + 12*b - 19. Is p(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020687558 to seven decimal places.\nAnswer: -0.0002069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - n + 9*n - 5*n - 6*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 311903.1 rounded to the nearest 1000?\nAnswer: 312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 45*m - 36. What are the prime factors of p(-25)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4609139832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1a14a (base 12) to base 11\nAnswer: 26794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -7*o. Suppose o = -3*q - 5*v + 4, -4*v - 2 = 4*q - v. Is -1*1 - (q - 918) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6baca (base 14) to base 11.\nAnswer: 16a506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*a + 11*a**3 + 11*a)*(-27*a + 16 + 6*a - 16 - a) in the form n*a**2 + g + x*a + u*a**4 + s*a**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = v + 395 - 454, -4*b = -3*v + 45 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 636.999847 + -637. What is w rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7678*s**5 + 4472*s**2 - 2*s.\nAnswer: 460680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.07 - -10. Let l = s - 0.03. Suppose 0 = -4*h + 4*u + 28, -u - 8 = -2*h + 4. What is the second biggest value in h, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s)*(-s**2 + s**3 + s**2) + (-2*s**3 + 162 - 39 - 186 - s**2)*(4*s - 2*s + 4*s).\nAnswer: -11*s**4 - 6*s**3 - 378*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 1 - (0 - (0 + -9))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 68.1. What is the third smallest value in 3, w, 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3402, 26, 3 in decreasing order.\nAnswer: 26, 3, -3402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 75 = 10*g. List the prime factors of 12\/g*(-4815)\/(-18) + 4.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845.7 plus 361252.163?\nAnswer: 363097.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 - 6*b + 35*b + 18*b + 176*b**2 - 64*b**3 = 0. What is b?\nAnswer: -1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*k**6 - 20*k**4 - 2*k**2 + 34*k + 6?\nAnswer: -8040*k**3 - 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (221 - (-158 + 265))?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9751 minus -1229.487?\nAnswer: 10980.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -264565185 divided by 88188395\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:34 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11159993?\nAnswer: 13, 71, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**4 - 4195132*h**3 + 11*h**2 - 673819?\nAnswer: 144*h - 25170792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5 - 5*i**4 + i**3 + 21*i**2 - 18*i = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 35*j + 98 = 4*j + 18*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.26102119 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4096 + 197*t - t**2 - 32*t - 37*t.\nAnswer: -(t - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10370, 1, 3, 6, -17 in decreasing order.\nAnswer: 10370, 6, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8375569 to the nearest integer?\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -104*f - 314. Determine u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 7*w**2 + 8*w - 13. Let k be g(3). Let z be 15\/54 - 1\/k. Put 4, 3, z, -3 in decreasing order.\nAnswer: 4, 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(-3 + ((-2 + sqrt(208))*-1*-1)**2) + 4.\nAnswer: -96*sqrt(13) + 1263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*a = -10, 4*t = 3*a + 66 - 14. Suppose 10 + t = 4*r. Suppose 2*o - 53 = -5*h, -2*o = -r*o - 4*h + 76. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*q - 3*q - 10*q - 3*q)*(-458 + 4*q**3 + 461 - 39*q**3).\nAnswer: -315*q**4 + 27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(1 + 1)*(5 - 1). Suppose 0 = -w*z - 5*t - 5, t + t = -5*z + 15. Solve g + 16 = 3*y, y + y - z = -5*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, d: 6, j: 1, w: 1, p: 3, s: 1}. Give prob of sequence wdp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5459 - -5794. Calculate the greatest common divisor of 25 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 1674 = 5*r + 84*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, -3, 1, -2, -24, 11 in descending order.\nAnswer: 11, 8, 1, -2, -3, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 304135?\nAnswer: 304130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*q**2 + 43*q**2 - 11*q**2)*(3*q + 3 + 0 - 5) + (-2*q**2 + 3*q**2 - 2*q**2)*(3*q - 2*q + q).\nAnswer: 22*q**3 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*b - 17 = -y, 4*y + 82 = 2*b. Let c(l) = -2*l**2 - 42*l - 33. Let g be c(y). Solve g = -2*h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/12 - 13*k**3\/6 + 13*k**2 - 15*k. What is the lowest common multiple of z(11) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 3, y: 1, j: 2, e: 6, c: 6}. What is prob of picking 1 y, 1 q, 1 c, and 1 j?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 + 129. Let x be 8622*((-60)\/(-9))\/n. Suppose -8*v = -11*v - x. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/990*10\/(-8)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -2807.\nAnswer: -2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2174 = 1209*r - 1045 - 2826. Let s be -1*(16\/(-2) - 2). What is the closest to -1 in 4, s, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {l: 1, s: 3, d: 2, y: 1, i: 7}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffh when three letters picked without replacement from {g: 1, h: 4, f: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7941492?\nAnswer: 2, 3, 13, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b + 1. Suppose 2*f + 8 = -0*f. What is j(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40.51 + 3.7. Let q = p + 0.81. Let j = 6 - q. Is -1 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 8*o**2 - 4*o + 4. Let s be d(7). Suppose -16 = 3*z - s. Solve z*u - 12 = 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8222 - 8219. Let x(k) be the first derivative of -5*k**6 + 18 + 29\/2*k**2 + 0*k**a + 0*k**5 + 0*k + 0*k**4. Find the second derivative of x(g) wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638974.\nAnswer: 2, 7, 45641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 518, 5, -5 in decreasing order.\nAnswer: 518, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1959225320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.504947\nAnswer: 0.0504947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 94080?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2. Let c(r) = 66*r**2 + 10. Let p(o) = -c(o) - 5*d(o). Let f(w) = w**2. Give f(p(m)).\nAnswer: 5041*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1.125929.\nAnswer: -5.629645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + r + 2 - 0, -3*b + 3 = 5*r. Suppose -b - 2 = -3*k. Calculate the lowest common multiple of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/5, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, 29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 - -163.2. Let a(s) = -s - 5. Let l be a(-5). Let p = l - 0. Put 0.1, p, k in ascending order.\nAnswer: p, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 24*o = -10240. Find the common denominator of 7\/2 and 2 + (-8)\/(o\/(-1016)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41276 and -41279 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/6)\/(3\/18). Suppose -u = -2*p + 2. Suppose k + b = 8 - p, b - 1 = 4*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 6. Let z be o(4). Let g = -380764 + 380780. Solve -g*b + z*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -226635*b*n**3*x - 11*b*n**3 - 15019*b*n**2 wrt x?\nAnswer: -226635*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4714 - 18103. Let u = g + 33146. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 9 - 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31967 is divided by 2673?\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -3957. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**3\/3 - 13*q**2\/6 + 1037*q\/2 = 0.\nAnswer: -183\/10, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471794166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 724188190 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*j + 273, 53*s = -4*j + 57*s + 540. What is the remainder when 419 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2434266?\nAnswer: 2, 3, 61, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41688, 4, -3, -1, -0.3, -0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 10\/61, 2087 in descending order.\nAnswer: 2087, 10\/61, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 185 = -77. Which is smaller: 26 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128757 (base 9) to base 5.\nAnswer: -10003442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - -2 - -1*2. Let b be (-132)\/16 + 3\/(-4). Let m = s - b. Let x(h) = h**3 - 6*h**2 + 4*h + 5. Determine x(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22410.375us?\nAnswer: 0.00037350625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101492197613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6766.\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100 (base 2) to base 6.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - a - 28 = 0, 2*a = -k - 1. Let l(p) = k*p**3 + 31*p**3 - p + 2*p**2 - 41*p**3. Give l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/40195024?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684) + sqrt(684) + -4 + sqrt(57)\/(sqrt(363)*3 + sqrt(363)).\nAnswer: -2 + 529*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -22*s - 1. Let j be b(-1). Let r = -5 + j. Let z(y) = y**2 + y + 18. Calculate the smallest common multiple of z(0) and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 1. Let q = 9373\/2 - 4687. What is the closest to -9 in g, q, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 n when four letters picked without replacement from nynnnnnnyynnyn.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110014 (base 5) to base 11\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41103*j - 40919*j + 3864 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 2. What is the remainder when g(5) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**3 - 2*b**3 + 2*b**3)*(66 + 56 + 63) + b**3 - 5 + 5 as q*b**3 + z + l*b + g*b**2 and give q.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 9*n - 8. Let v be w(8). Suppose 186 = p - v*p. What are the prime factors of p?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + y + 1. Let a = -20 - -19. Let s be h(a). Sort 11, s, -4 in ascending order.\nAnswer: -4, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 936 and 2288?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416924 divided by -5.\nAnswer: 416924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11 + 6 + 3*t - 17. Let v(g) = -17*g**2. Give v(h(j)).\nAnswer: -153*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 6. Suppose -7*p - 264 = p. Let f = 37 + p. Let b be j(f). Solve 5 = l + b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(((-9)\/(-12))\/1). Let m be (h*(-3)\/(-3))\/(-1). Suppose z - 64 = -m*c - 6, 4*c = -3*z + 54. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 19*q - 681 = 0, 19*z - 21*z = -9*q - 68 - 255 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 3*k**3 - 8 + 1 to x*k + i + y*k**2 + o*k**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -82*q + 1018. What is l(28)?\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -40499000 to the nearest 100000.\nAnswer: -40500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -29*d**6\/120 + 7*d**5\/20 + 22*d**2 + 2. Let o(k) be the second derivative of s(k). Find the third derivative of o(p) wrt p.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 27*y = -39. Find the second derivative of -y*x**5 - 60*x**2 + 60*x**2 + 16*x wrt x.\nAnswer: -260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347166?\nAnswer: 2, 3, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 45*d - 6 + 14.\nAnswer: 45*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 4 + (6 - 5 - 13)*(0 + 2 - 4) - 6 + 4 - 9 + (-1 - 1 + 4)*(-2 - 3 + 3))*(-t + 0*t - t) to the form x + f*t and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 20*q - 293. Calculate n(11).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3017 divide 289499252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 + -14)) + -15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102149023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 182. Let x be d(-9). Suppose -x = 30*f - 2651. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 15. Let l be f(8). Suppose l = 2*k - 1. List the prime factors of 6 - -20 - (k + -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -2*j, 4*j = -5*n - 0 + 12. Which is smaller: 2\/17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 4542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 21*p + 1775. Determine o(-86).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56 - ((1 - 8) + (7 - (4 - -8 - 10)))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21845*x**3 + 44670*x**3 - 22809*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 4)*(-2 - 2 + 2)*(-g**2 + g**2 - 6*g**2) in the form n*g**2 + j*g + l and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)\/g**2*g**(-3)*g*g*g\/(g*g*g*g**(-6\/5)))**(23\/6) assuming g is positive.\nAnswer: g**(-1817\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 5557912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 11\/13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12966 + -12975. Sort b, -12, 1.\nAnswer: -12, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from {t: 2, b: 2, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -127.85\nAnswer: -3324.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.982 and 151864.\nAnswer: -149130.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*s**2 - 529*s**2 - 523*s**2 + 2089*s**2 - 521*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4135 + -0.44. Let z = 0.0215 - g. Is z at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 4*v**2 + 4. Suppose -3 = -p + 1. Let r be m(p). Put 2, r, 1 in ascending order.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -22*h**2. Let y = -637 - -637. Let z(i) = -6*i**2 + y - 6 - 19 + 25. Determine k(z(p)).\nAnswer: -792*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59763438*j**6 + 40297593*j**2 wrt j?\nAnswer: -7171612560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*b - 4437, -1710 = -2*b - 5*x + 71. What is the units digit of (39*4\/18)\/(8\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*c + c - 1340, -3*h - 6735 = 5*c. Suppose -3*p + 2*i + 8589 = 0, 0 = p - 5*i - 547 - 2316. Let r = p + c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2389 + -2388. Is u less than or equal to -15\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = -5*x + 4*l + 224, 7 = -5*x + 2*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/9)*c*c**(3\/2)*c*c**(-8)*c\/(c*c\/(c\/c**(2\/19))))**(5\/9) assuming c is positive.\nAnswer: c**(-8635\/3078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 - -116. Which is the closest to 0? (a) 48 (b) i (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + r - 86 = 0, 3*r + 26 = -2*c + 120. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b - 2 + 25*b - 2*b - 536.\nAnswer: 50*b - 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/224 - -445\/672. What is the second biggest value in -9, 5, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -89, -159, -185, -125, 63, 421?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 59b0b0?\nAnswer: -59b0b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1\/3 (b) -19 (c) -2 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85493 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1126*a. Let u(c) = 4*c. What is u(m(h))?\nAnswer: -4504*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x + 4*x**4 + 0*x**2 + 0*x**2 + x**4 + (-3 + x**2 + 3)*(2*x**2 - x**2 + 0*x**2) + (-x + 3*x + 4*x)*(3*x**3 - 3*x**3 + 2*x**3).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 18 - (9 - (44 + -19)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52663 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 6 = 2*h - 5*b, -h = 53*b - 51*b + 19 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 36469*u**3 + 110*u**2 - 109*u + 1. What is the hundreds digit of h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-144)*3\/(-4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -382.6 + 41.6. Let j = w - -340.9. Let k = -1.6 + -0.4. What is the biggest value in j, k, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:04 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 + 114*g**2 + 77*g - 156. Calculate w(-22).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2447*-11\nAnswer: 26917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 34, 128, 320, 646, 1142?\n\"Answer: 6*a**3 - 5*a**2 + 5*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - 232. Let d = n + 105.98. Let c = 0.07 + d. What is c rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266.8 + 344. Let y = g - 86. What is y rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5938\/5 - 41486\/35. Let t(z) be the first derivative of 2\/7*z**2 - 2\/21*z**3 - 11 + o*z. Suppose t(h) = 0. What is h?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -64. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261 and 4?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 25, t + 2*c + 34 = -3*t. Let y be (t\/4)\/(4\/(-24)). What are the prime factors of (-6)\/4*(-96)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 23) + (-2 + 4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123 a factor of 477516380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:54 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 144 = 4*y, 0*r + 107 = -3*y + r. Let p = 38 + y. Suppose -12 = p*n, 10 = -2*h - h - 4*n. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -625, -474, -69, 716, 2007, 3930, 6611?\nAnswer: 10176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, -15, -854 in ascending order.\nAnswer: -854, -21, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7185271 or -35926353\/5?\nAnswer: -35926353\/5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (12 - (-10 - -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 7*m**3\/3 - m**2\/2 + 391*m - 2. Let l(s) = 28*s - 3. Give 5*h(o) - 2*l(o).\nAnswer: 14*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009554958 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + k + 165, 0 = l - 2*l + 2*k + 60. Suppose -n = 2*p - 14 + l, -5*n - 3*p = 165. Let r be (-6)\/2*n\/(-9). Is -10 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) - 112\/(-18). Let t(s) = -17*s + 60. Let m be t(3). Suppose 74*n - 77*n + m = 0. Solve -n*x = -r*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -74. Let o = u - -118. What is the third derivative of o + 2*k**2 - 36 + 6*k**2 + 16*k**3 wrt k?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/8)\/12*9\/78.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2330, 4685, 7044, 9407?\nAnswer: 11774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b\/((b\/(b*b**(2\/9)*b))\/b)*b)*b*b**(3\/10)*b*b**8*b*b**(-7)*b*b*b assuming b is positive.\nAnswer: b**(187\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -264*c**2. Let j(g) = g. Determine j(q(u)).\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*a**3 - 4671*a**2 + 4658*a**2 - 2*a**3 + a**4 in the form l*a**2 + n*a**4 + i*a + u*a**3 + c and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**3 + 2*r + 1. Let y(p) be the second derivative of p**5\/4 - p**4\/3 + p**3\/2 - p**2 + 3*p. What is the remainder when y(2) is divided by u(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(293 - 35*d - 293) + (-d + 0*d + 0*d)*(0 + 2 + 2) as f*d + i and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183498254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 greater than or equal to -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105299167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.8 (b) 2\/7 (c) -2.525 (d) 4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {h: 1, k: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*i + 775*i - 97 + 7390 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64568 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.51, 0.3.\nAnswer: -0.51, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 15 - 0. Suppose -1 = p - 4*q - 10, 2*q = z*p + 9. Which is the second smallest value? (a) -0.1 (b) p (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/21*((-1)\/(-3))\/((-90)\/54). Which is the biggest value? (a) q (b) 5 (c) -3 (d) 0 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = 2*k. Let v be (-133)\/49 + 2\/(-7). What is the smallest common multiple of -2*3\/(-1) + v and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 441068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181023900 rounded to the nearest 1000000?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from dvdvnlvqjddd?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 39*d**2 + 4*d**2 - 139*d**2 + 790*d - 790*d to x*d**2 + t*d + l and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 587.9 or 176?\nAnswer: 587.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4040524 (base 7) to base 4\nAnswer: 1311103033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -4, -5, -0.1, -106?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 11. Let n(b) = b**2 - 10*b + 11. Let p be n(t). Suppose -23 + 71 = p*q. What is the highest common factor of 60 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0 + 1\/2*i**3 + 0*i - 41\/15*i**5 + 1\/6*i**4 - 141*i**2. Find the second derivative of w(y) wrt y.\nAnswer: -328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -80, -154, -252?\n\"Answer: -12*p**2 - 14*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2. Let n(c) = -7*c + 2. Give g(n(b)).\nAnswer: -343*b**2 + 196*b - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -16. Let s = -7 + y. Let d = -7.5 + s. Put d, -0.4, 1 in descending order.\nAnswer: 1, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 5*n - 26. Let d = 25 + n. Is 6\/d - 35794\/(-110) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k - 10 = -40*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -80, 13\/4, -5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 7*q + 7. Let x be v(7). Let h be (-102)\/x - 12\/(-21). Let f be 2\/(-4)*(-12)\/h. Which is the third smallest value? (a) 2 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 + 22*x + 15. Let m be w(6). Suppose -96 = -7*c + 4*c. What is the units digit of (-120)\/c*((2 - m) + -31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257887, -257885, -257883, -257881, -257879, -257877?\nAnswer: -257875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 46.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - 10 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34947252*k**2*l**3 + 3*k**2*l**2*p - 2*k*l**2*p - 8*k*l + 5*l**3*p + 484194*l**3 wrt k?\nAnswer: 69894504*l**3 + 6*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 46 + 43 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77\/6*c - 1\/6*c**2 - 38\/3.\nAnswer: -(c + 1)*(c + 76)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 11. Let z be f(6). Let n = z + 65. Let o = n + -179\/5. Which is the biggest value? (a) o (b) 2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) + 4 + sqrt(2)*3)**2 + sqrt(2).\nAnswer: 33*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445919 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 769966 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v*v\/(((v*v**(5\/3))\/v)\/v)))))*v*(v\/v**(-5))\/v)\/(v*v**(-1\/15)*v**(-6))*((v**(2\/7)\/v)\/v)**(3\/8)*(v**1)**(-21) assuming v is positive.\nAnswer: v**(-647\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -20, 1, 14, -2 in ascending order.\nAnswer: -22, -20, -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*s + 142, -4*s + d - 119 + 293 = 0. Solve -38*u = -s*u + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/5 + 242*s**4 - 49200*s**3 + 3440000*s**2 - 16000000*s.\nAnswer: -2*s*(s - 200)**3*(s - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 - -3. Let m = 103\/4 - 26. What is the smallest value in i, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -178?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*k = 454*k - 4*i - 8, -5*k + 10 = 2*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -9.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (-11 + 34)) + -11 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**6\/30 + 3*i**5\/5 - 8*i**2 - 11. Let p(j) be the second derivative of q(j). Find o, given that p(o) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027215 to six dps.\nAnswer: 0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + -9 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 + 2226*p**2 - 69*p + 9012568?\nAnswer: -4*p**3 + 4452*p - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 23*a**2 - 35*a + 46. What is p(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2964628, 5929256, 8893884, 11858512, 14823140, 17787768?\n\"Answer: 2964628*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c**2 - 2*c + 0*c**4 + 7 - 71\/3*c**3 + 0*c**5 + 0*c**6 + 3\/7*c**7. What is the third derivative of m(k) wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 9. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -6) + 3 + (-9 - -11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40225 + 447336. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 2*x**2 - 11*x**2 - x**2.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 6*h + 103. Calculate the remainder when c(0) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 15*m = 40. Solve 2*y = 7*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*i + 1, 3 = -5*i - 2. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042621844 rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + p**2 + 5*p**2 + (4 + p - 4)*(699*p + 452*p + 1516*p) to the form o + i*p**2 + t*p and give i.\nAnswer: 2669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - o + (-5 + 2 + 1)*(2*o + 2*o - 6*o))*(7*o**2 - 9*o**2 + 3*o**2) + 11*o**3 - 39*o + 39*o.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 13*r + 23. Determine b(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.68 + 8.32. Which is the second smallest value? (a) w (b) 4 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 0 + 3 + 3007. Suppose -3*s - c = 3*p + s, 0 = 4*p - 2*s + 3996. Round p to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/3 + 232553*b + 58582188 = 0.\nAnswer: -697407, -252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 2 f when four letters picked without replacement from {f: 2, t: 1, d: 2, p: 4, b: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 165 = -0*s - 5*b, -5*s + 465 = 2*b. Suppose s = -8*z + 13*z. What is the remainder when z is divided by (3 - 2)*(-1 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 929, 3710, 8343, 14828, 23165, 33354?\nAnswer: 45395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**8\/112 - 13*n**6\/4 - 21*n**4\/4 - 7*n**3\/6 - 418*n**2 - 15. Find the second derivative of o(k) wrt k.\nAnswer: -60*k**3 - 2340*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126985.505 rounded to the nearest ten?\nAnswer: 126990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 8 = 2*n. Let s be 8\/(-52) - (-108)\/n. Solve 18 = s*l - 3*x, 5*x = -0*l + 2*l - 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419.560404 rounded to the nearest ten?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 1, d: 2, g: 1}. What is prob of picking 1 x, 1 f, and 2 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqffqfq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-25))\/((-6)\/495). Let r = s - 64. Suppose -g - 20 = -0*m + 4*m, 0 = 2*m - r*g. Which is the second biggest value? (a) m (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + -268 + 3575\/25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 13*s + 3321. List the prime factors of s.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 3:09 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 3*s - 120922 + 120914 - 10*s - 8*s + 10*s.\nAnswer: -4*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*i - 73*i**2 - 1 + 0 + 29*i**2 - 11*i + 28*i**2 to k*i**2 + w*i + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 - 9*l + 6. Let f be u(4). Suppose -209 = -2*h - 0*h - 5*m, f*h - 239 = 5*m. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(816) + sqrt(51))*-6*-1)\/(-2*(sqrt(75) + (sqrt(75) + (sqrt(75) - (sqrt(75)*-1 + sqrt(75))) + sqrt(75) - sqrt(75)) - sqrt(75)) + sqrt(75)) + 4.\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466187, -465894, -465601, -465308?\nAnswer: -465015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 18}. Give prob of sequence vbbb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v**2 - 309 + 309 + 3*v**2. Let a(x) be the first derivative of 2*x**3\/3 + 1. Give a(r(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11473, 11469, 11465, 11461?\nAnswer: 11457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) + (sqrt(192) - (sqrt(192) + -1)) + -1)**2 + 3 + (sqrt(72)\/sqrt(3)*-6 + sqrt(24))\/(sqrt(24)\/sqrt(3)*2) + -4.\nAnswer: 11*sqrt(3)\/2 + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {f: 6, u: 1, i: 4, e: 2, s: 4, a: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/180 - 2*p**3\/9 + 2*p**2 + 2*p. Let c(i) be the first derivative of x(i). Factor c(w).\nAnswer: (w - 2)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2)\/11 - 285\/(-418))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 10*z + 32. What is the hundreds digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15474 (base 11) to base 13.\nAnswer: 9c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 19. Let m be b(9). Let r = m + 1. Determine u, given that 128*u + 4*u**4 + 52*u**2 - 40*u**2 + 26*u**r + 64 + 32*u**3 + 58*u**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 121 + 27 + 115 - 384 + 121.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1969 + -1966. What is the second smallest value in -2\/11, 3\/5, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501541236 divided by -3\nAnswer: 167180412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 3*m - 3*q, 2*m + 4*q = -14. Solve -4*n + 3*x - 3 = 10, 9 = -m*n + 3*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*l - 54 = 0, -2*r + 0*r = 5*l - 55. Let q be 10\/r*(7 + -2). Find the first derivative of -q*g + 11*g**2 + 4 + 2*g wrt g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from aaaayaalabyyyaaajgal.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 1, m: 1, f: 1, d: 2, b: 1}. Give prob of picking 1 a, 2 f, and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6423 and 1329?\nAnswer: 8536167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 33093.7 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5178590144?\nAnswer: 2, 7, 13, 19, 53, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from xycjjxyxljcyyjyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 1. Let p = -23 - b. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 3. What is the common denominator of (-52 - -52) + 1 + 88\/10 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*c = 11, -3*f + 1 = -6*f + 5*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 11*o - 28. What is the common denominator of o\/(-91) - (2 - (-761)\/468) and -52\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.572219kg?\nAnswer: 1572.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.223 - 2.23. Let w = d - -0.207. Which is the nearest to 2? (a) -0.1 (b) w (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 170.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from ygyomccoeccggcgg?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431 is divided by 377?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151782362 to the nearest integer?\nAnswer: 12320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559643719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 3*c**3 - 2*c**3)*(-c**2 + 3*c**2 + 0*c**2).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.83, 3.3, -1, 0, 2\/9, -9, 1\/2?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664 = -26*s - 482. Sort 41, s, 1.\nAnswer: 1, s, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 119*z - 109)*(-4 + 4 - 2*z).\nAnswer: 238*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -20. Suppose -t*a - 2 = -54. What is the remainder when 49 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from {s: 6, u: 1, c: 2, h: 5, r: 5}.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 14, 0, -12, -15 in descending order.\nAnswer: 14, 3, 0, -1, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose 0 = a*p - p - 36. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -220*b**2. Let d(j) = 30998*j**2. Determine d(s(p)).\nAnswer: 1500303200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 851*f + 2108 - 89678 = -80*f + 97*f for f.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/1161 (b) -4 (c) -0.1 (d) 1\/8 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5772 and 1333800?\nAnswer: 49350600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 10. Suppose -3*a - 20 = -x*a. Calculate the smallest common multiple of a and -4 + 9 - -6 - -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1079819\/180 - -53996\/9. Find the common denominator of x and -99\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 121 + (-8 - 2) + 0 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175344 by -87672.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) 2\/13 (d) -6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3675 divided by -89656?\nAnswer: 525\/12808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 200693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(336)*1 + 2*sqrt(756))\/(sqrt(42)\/(-2*sqrt(6)*-1)))*1.\nAnswer: 4 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -30.2962?\nAnswer: -29.8962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18013 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 2 (b) -1 (c) -157\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3182248746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 16*l + 8. What is t(7)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 966a?\nAnswer: -9671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 z when four letters picked without replacement from {z: 2, a: 7, e: 2, p: 4, x: 5}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 divided by -536?\nAnswer: 233\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69025.\nAnswer: 5, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v - 55. Is 7 a factor of t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*g - 66165, 28660 + 11007 = 3*p - 4*g. Let b = -9146 + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -2b?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s = -14*s + 961*l - 960*l + 27, 0 = 12*s - 5*l + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4978, 9365, 13746, 18121, 22490, 26853, 31210?\nAnswer: 35561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 - s + 4. Let c(q) = -q**2 + 1. Let y = 31 - 30. Let n(a) = 1 - a**3 + 2 + a - 1 - 6*a**2. Let g be n(-6). What is g*c(m) + y*j(m)?\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*v = 129, 5*p + 4*v + 109 = 361. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 277*i**3 + 67563*i**2 - i - 159038444 wrt i.\nAnswer: 1662*i + 135126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 36491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (13 + (-1 - 3) + -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220663\/32 + -6898. Calculate the common denominator of i and 73\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489527019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 10*d**2 + 19*d + 5. Let f be m(8). Sort -0.1, f, 5 in descending order.\nAnswer: f, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 19*n - 17. Let w be l(-7). Calculate the greatest common divisor of w and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v. Let j be l(1). Suppose 3*o + j = 17. Let b(c) = -c**2 + 5*c + 2. Let s be b(o). Solve 9 = r - 5*p + 33, -2*r + s*p - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14699 - -23052. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m + 66. Let p be o(-20). Let x = p - -254. Solve n - x = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513666631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 34010262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -3 (c) 8\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1311167 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, u: 4, y: 2, r: 1, x: 2, g: 2}. Give prob of picking 1 u, 2 g, and 1 y.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - c**3 + 2*c**3 + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/91 - -179\/273. Let l = 378.01 + -376. Let g = -0.01 + l. What is the second biggest value in -3, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 701*a - 713*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -1\/10*v**5 + 5*v + 0*v**2 + 1\/42*v**7 + 1\/6*v**3 + 0*v**6 + 0*v**4 + 0. Factor o(a).\nAnswer: a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2\/5, 0, 3 in descending order.\nAnswer: 3, 0, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 105*a**2 + 6. Let f(w) = w**2 - 1. Give -6*f(d) - q(d).\nAnswer: -111*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3 - 1764*k**2 - 1760*k = 0. What is k?\nAnswer: -440, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1725 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56031 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 2}. Give prob of picking 1 z and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.09, 15, -12, 4, -0.5, -0.1, 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 0*r**3 - 2*r**3)*(-3 + 0 + 7*r + 1 - 1 + 1 - r + (-r + 2*r - 2*r)*(-1 - 1 + 3)).\nAnswer: -10*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6378933 is divided by 1594728.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -5, -3, 3, -5517 in descending order.\nAnswer: 3, 1, -1, -3, -5, -5517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4266 + -4265.8. Let u = -3 - -2.7. Let m = 1.1 + -1. What is the nearest to m in 2, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*w - 44 = 5*w, 5*w - 4 = -2*d. Solve d = -4*h - 4*z, 4*h + 2*z + 6 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0187 take away 8.22?\nAnswer: -8.2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**(-1)\/g)\/g*g))\/g)**15*(g*g**(-4))\/g**(1\/4) assuming g is positive.\nAnswer: g**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 126, -4\/3, 8, -1?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 + 248*p**2 - 1334*p + 133. Determine v(35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*12\/(-1 + 5))\/(-3). Let j(k) = -12*k**2 + 7*k - 6. Let v(w) = -w**2 + w - 1. Let y(s) = j(s) - 6*v(s). Calculate y(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Find the second derivative of -4*s**3 + 26*s**i - s - 26*s**2 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2255 - 1413. Suppose 13*i - 81 = h. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0672 minus -111?\nAnswer: 110.9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 265*j + 270*j - 6, 2*d + 6 = -j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.36 + -0.25. Let k = -312.6 - -302. Let z = -10.5 - k. Put o, -2\/7, z in ascending order.\nAnswer: -2\/7, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6? (a) -4 (b) -5 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - 1. Let i be h(1). Suppose d - 5 - i = 0. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -2 - (-12 - 5 - -21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b7 + 5?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let s be 401*(-3 + 45\/9). Let j(w) = -835*w - s*w + 1597*w. Determine 2*j(f) + 88*k(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l**(-2\/5)*l**0*l*l*l**(-7)\/l)**29)**(38\/7) assuming l is positive.\nAnswer: l**(-8816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -13*v**4\/8 - 151*v**3\/6 - 217*v**2. What is the lowest common multiple of k(-4) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 20*x - 5. What is the greatest common divisor of x and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 + v - 7 + 1. Let k = -565 + 572. Determine a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1934*i + 693*i - 24820 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154585.8 months in millennia?\nAnswer: 12.88215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 4. Let z = -56 - -59. Determine n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -676 - -677. Does 19 divide i*9\/(63\/1379)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2 + (-1)\/2. Let c(u) = -2*u + q*u + 0*u. Let d(h) = -4*h**2 + 6*h. Let s(m) = m**2 - m. Let n(k) = d(k) + 6*s(k). What is n(c(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, 2, -162, -1, 5, -4.\nAnswer: -162, -21, -4, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36927172*d - 48883014.\nAnswer: -36927172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 173*r - 169*r + 17, -6*a = -5*r + 40 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - 98721807992?\nAnswer: -98721808027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r*r)**(-12)*(r**(-7)*r)\/r**(-2\/15))**22 assuming r is positive.\nAnswer: r**(-11176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*b**4 - 122*b**2 wrt b?\nAnswer: 2760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 + 2\/3 + (-28)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -1 (c) -0.3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 33 = -3*f, 3*m - 11*f - 70 = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 7*y - 5. Let l be a(4). Suppose 4*w + 72 = l*w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44312 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -56, -57, -58?\n\"Answer: -l - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 746*n + 3433. What is the units digit of q(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -14*b - 5*b + 308 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n + 11. Let d be a(-9). Let x = d + 19. Let o = x + 41. Is 4\/17 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3009*d**2 + 8*d - 2695. Let l(z) = 2*z**2 - 2*z + 6. Let t(x) = k(x) + 4*l(x). Find the first derivative of t(j) wrt j.\nAnswer: 6034*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 15*v**2 + 25*v + 15. Let f be z(13). Let k be ((-34)\/(-170))\/(f\/25). Sort -3, k, -8.5, 1\/4.\nAnswer: -8.5, -3, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/12*(9\/3)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 + 8932*n + 8925. Give w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8799547 litres in millilitres?\nAnswer: 879.9547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2162 = 8*t - 2446. What is the smallest common multiple of 144 and t?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -3*m + m. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 r when four letters picked without replacement from {z: 3, r: 7, f: 5, w: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 6, 65, 178, 363?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.248557044 - -5?\nAnswer: 4.751442956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 + 15*r - 4. Let o be f(11). What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 - -1.3. Put -2\/13, s, -0.2 in increasing order.\nAnswer: s, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -7*z**2 + 0 - z**3 + 0*z + 1\/4*z**4. Differentiate o(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {u: 1, k: 4, b: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88132877 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -642 - -713. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Let o = 5 + t. Let z(x) = -x**3 - 7*x**2 + 8*x + 4. Calculate the remainder when o is divided by z(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m + 3. Let z be r(6). Suppose -z*t + 2 = -4*t. Calculate the lowest common multiple of 10 and (t - -2) + 8\/1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(((a\/(a*a**(2\/17)))\/a*a)\/a*a)\/a)\/a*a**(-2))**(-23) assuming a is positive.\nAnswer: a**(1219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45500 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243287?\nAnswer: 11, 17, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 4*m - 44, 4*i + 3*i + 20 = -3*i + 2*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m + 67. Give y(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/17 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 3330*f + 49697. What is u(-15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132768 and 73528578.\nAnswer: 8298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i - 260*i + 105*i + 120*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*c + 15*c**2 - 14*c - 12*c + 12*c + 6*c**2 + (0*c + 0*c + c)*(3*c - 4*c + 0*c).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17399849, -17399850, -17399851?\nAnswer: -17399852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443*c**3*i**2*q + 568*c**3 + 2*i**2*q**2 + 2*i*q + 2*q**2 wrt i.\nAnswer: 886*c**3*q + 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 88\/3 + 10\/15?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -348088099 and 5.\nAnswer: -1740440495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 7, t: 3, y: 1}. What is prob of sequence jy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 4*v**2 + 1. Let i be r(-4). Suppose 5*q - 2*h - h - 25 = 0, -4*q = 5*h + 17. Is q < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:48 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 25 = 0, 18*b - 13*b + 5*o + 25 = 0. Factor 1\/9*p**2 + b + 2\/3*p.\nAnswer: p*(p + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83197637?\nAnswer: 19, 281, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 97 + 102 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = -15. Let t = b - -9. Suppose 2*g = -m - 1, -2*m + 2*g + 19 = 3. Solve -1 = -t*c + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.22824096436 plus -5?\nAnswer: 51.22824096436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 3:55 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 divided by 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-623 - -626)*(-1)\/2. Let f = -0.1 - -0.1. Which is the second biggest value? (a) i (b) -103 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-42)\/35)\/((-3)\/10). Suppose -6*q + b*q + 28 = 0. What is the second derivative of -q*m**2 - 2*m + 4*m + 3*m wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4 - 80*a**3 - 556*a**2 - 1488*a - 1008 = 0.\nAnswer: -7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237530039 - 378529039. What is k rounded to the nearest 1000000?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 19. Calculate x(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*b - 76, 2*r = 4*b + 23 + 63. Suppose -4*x = 8, d - 7*x = -3*x + 6. Let u be d\/(-6) - r\/(-9). Put u, 0, 1 in increasing order.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millisecond in microseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.94. Let j = -12872\/95 - -2544\/19. Which is greater: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34532441423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79519 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*b**3 + 14*b**3 + 24 + 19*b**3 + 20*b**3 wrt b.\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 10. Let l(v) = v**2 - 13*v + 12. Let k be l(13). Let m = k + r. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -14 (b) 1\/5 (c) 2 (d) 0.0252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -172187 from -3757.\nAnswer: 168430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k - 10. Suppose -5*z + 15 = -3*u, -z + 2*u = -u - 15. Put -3, z, k in decreasing order.\nAnswer: k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-23954202)\/4700488 + 4. Let m = 2\/45197 - c. Let j = 9683 - 96919\/10. Find the common denominator of m and j.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpu when three letters picked without replacement from xbrbrprrbubujp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/2 - 6717*k**2\/2 - 1828761*k + 30126096 = 0. What is k?\nAnswer: -1254, -1001, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i - 39. Calculate the greatest common divisor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113000 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/90 + 2)\/(3\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - 61. Let b = v + 174. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 - 232*d - 422. Calculate m(-19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Let q be -1 + 2 + 2\/r. Solve 4*a - 4*v + q = 10, -5 = -3*a + 4*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 4:51 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.608574 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32013.8 times 0.5?\nAnswer: 16006.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.786 and 0.3.\nAnswer: 0.8358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 5 - 449*i**2 - 360*i**2 + 13*i**2. Let m(t) = -398*t**2 - t - 3. Let r(p) = 5*m(p) - 3*u(p). Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 14040.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-10)\/(y\/y**(2\/9))**6 assuming y is positive.\nAnswer: y**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence detd when four letters picked without replacement from dtjddtttdjddjet?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/1)\/4 + 3. Let c(r) = 7*r**2 - r**x - 2*r + 7 - 5*r**2. What is the units digit of c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -741, 10, 58 in decreasing order.\nAnswer: 58, 10, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + 2*j - 3. Let f = -4 + 3. Let c(h) = h**4 - h**2 + h - 1. Let b(i) = f*q(i) + 3*c(i). What is the second derivative of b(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1842484 and -221\/53130.\nAnswer: 304009860","meta":{"dup_signals":{},"source":"numbers__lcm_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: Suppose -3*d - 2*d = -3*s + 15, -d - 5*s + 25 = 0. Suppose d = 4*i - 3*r - 1, -i + 4*i = -2*r - 12. Put 10, i, 3 in increasing order.\nAnswer: i, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + (10 + (-8 - 9) - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -5*q**3\/6 + q. Suppose 4 = 2*v - 0. Let h(x) = 77 - v*x - 77. What is f(h(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 8*u**2 - u - 6. Suppose 2*w + 2*w + 1 = v, 0 = -5*w + v - 1. Let b(x) = -x**3 - x**2 + x + 8. Let r be b(w). Determine p(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 + v + 9 + 10*v**2 - v**3 - 2*v**3. Let g be j(-10). Let f(o) = 33 - 21 - 13 - 6*o. Give f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 209855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 3:32 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8286, 16436, 24586?\n\"Answer: 8150*y + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -701, -1079, -1475, -1901, -2369, -2891, -3479?\nAnswer: -4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*(-4)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o = 47*o - 135483. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10059 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19031464*j - 19031464*j + 3142*j**2)*(-3*j + 3*j - j**2) to the form o*j + k*j**2 + b*j**4 + x + m*j**3 and give b.\nAnswer: -3142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20421809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*b - y + 280, -3*y = -2*b + 139. Let o be (b + -1)\/(6\/6). Suppose 0 = 5*z - z - 56. What is the highest common factor of z and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.031 - 4.169. Let d = -0.2 - j. Let g = d + -3.81. What is g rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51119 smaller than 51120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 0 + 4 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let s(j) be the third derivative of -j**7\/840 + j**5\/5 + 12*j**2. Let i(o) be the third derivative of s(o). Give z(i(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -29.7. What is the nearest to 2\/9 in 0.2, g, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + w - 1 - 2*w + 2 - 2 + 2*w - 5*w + 2*w + (-1 + 3 - 4)*(-2*w + 5*w - 4*w) + 2*w - 2 + 2 + 24*w - 191 + 387 - 192 to the form r*w + u and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 0*c - 2*c in the form b + f*c and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47492 and 27959?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 11) to base 7\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - d = -26, -p + 6 = -3*d - 0. Let s be ((-10)\/3)\/((-8)\/p). Solve -3*c - 2*c = -s*a + 35, 0 = -5*a + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from fuullulluffikffliu.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 14*m**3 + 4*m**3 - 176668*m + 176669*m to the form c*m**3 + v*m + o + f*m**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 + -4) - -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-42) + 65\/(-6). Let c = 13 + v. Solve 0 = -2*t - 0*t - c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9dac (base 16) to base 14.\nAnswer: -109d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33.83427cm?\nAnswer: 338342.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 + (-35)\/(-175). Suppose -2*x = -v*x - 232. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1003 + -430. Suppose 118*o = 115*o + w. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3296 divided by -1648.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2)*86\/(-43))\/((-126)\/(-30)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7126, 14254, 21382, 28510?\nAnswer: 35638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 713 + 97. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 105. Is 17 a factor of v(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -7*k + 2268. Suppose -2*c - 15 = -5*c. Suppose 0 = -u + c*y - k, u - 2*y - 372 = 3*u. Round u to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 27*s + 120. Give p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71515, 71406, 71293, 71176, 71055, 70930, 70801?\n\"Answer: -2*s**2 - 103*s + 71620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/21 - 95\/168. Let f = -0.4 - 0.1. Let u = 5502 + -16505\/3. What is the nearest to z in u, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 68 = 26*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9215 + -9215.1. Which is the third biggest value? (a) 507 (b) 0 (c) l (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*y + 18 - 27*y + 50*y to h + a*y and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279\/5 + -56. What is the nearest to 0.1 in t, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170.6 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54600000 rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 56 in decreasing order.\nAnswer: 56, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66053 (base 7) in base 6?\nAnswer: 204222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - 5*s, -3*s - 2*s = -n - 8. Let i(v) = v**2 - 3. Let m be i(n). Solve k - 4*l - 13 = -m, -5*k = 2*l - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-5 - 3) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/8 - f**3\/2 - f**2 + 1. Let m(h) be the second derivative of k(h). Is 3 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 + (-3 + 5 - 3)*(0 - 2 + 3) + 4 + 0 - 3)*(-1 + 2*g + 1 + (2*g - 2*g + g)*(-3 + 3 + 2) - g - 2*g - 4*g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37878396 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let n be -2*(-1)\/(g\/(-30)). What are the prime factors of -8*(n\/12)\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 - 6*y - 4. Give c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 v when three letters picked without replacement from {v: 1, f: 7, x: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 612\/21 + (-1)\/7. Let u = w + -24. Let v = 8 + -3. Which is bigger: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0)\/((-2)\/3). Let n = 6 - 4. Let c(r) = 3*r - 2*r + 4 - n. Calculate c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 87, 2, 0, 18 in decreasing order.\nAnswer: 87, 18, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 33. Let h(d) = 20*d - 98. Let l(k) = -3*h(k) + 8*j(k). Let z be l(9). What is the units digit of 53 - 7\/((-14)\/z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2013, -7355, -16233, -28641, -44573?\nAnswer: -64023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/3 + 21*z**2 + 14*z. List the prime factors of l(0).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**2 + 21*l + 1. Let j(u) = -35*u**2 + 119*u + 4. Let n(r) = 11*h(r) - 2*j(r). Let y(c) = -20*c**2 - 20*c + 9. What is 11*n(p) - 4*y(p)?\nAnswer: 3*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 - 4)*(1 + p - 1 + (-120*p - 30*p - 128*p)*(3 - 1 - 3)).\nAnswer: 2232*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85353999818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c - 1 - 3*c.\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -266266921537105 take away -0.3?\nAnswer: -266266921537104.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 35. Let a be g(11). Suppose 4*y = 9*n - 10*n + 68, n - 32 = -a*y. Suppose 0*p + 1026 = y*p. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 minus 2.26461256449?\nAnswer: -2.71461256449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 37. What is the third derivative of 33*s**3 + 17*s**2 - 16*s**2 - 4*s**n wrt s?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 1 - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-240)*-2)\/((-66)\/55). Let r(l) be the third derivative of 0 - 9*l**2 + 0*l - 5\/3*l**3 - h*l**4. What is r(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 40*v - 34. Determine n(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 - 13*f + 8*f + 5*f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 1. Let q(w) = -3*w**3 + w + 1. Let k be q(-1). Let b(h) = 6*h + 5. Let a(n) = k*b(n) + 15*d(n). Let o(i) = 5*i. Give o(a(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -313*l. Let z(x) = -81*x**2 + 2. Calculate z(f(s)).\nAnswer: -7935489*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354649839 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 399 - 291 = -3*d, 3*d = 2*b - 297. Does 45 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/383982 and 46\/459.\nAnswer: 58749246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/65*(-1)\/2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*0.16363133\nAnswer: 0.0687251586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5187, 10502, 15815, 21126?\n\"Answer: -g**2 + 5318*g - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 188356*j**3 - 24667692*j**2 - 909600*j - 8384 = 0.\nAnswer: -4\/217, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -205*c*p**2 - 138067*c + 2018*p**2 + p + 8 wrt p?\nAnswer: -410*c*p + 4036*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1ae31 (base 15) to base 3\nAnswer: 11110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 8*x - 3. Let w be g(8). Let o(j) = -2*j - 1. Let f(m) = m + 1. Give w*f(n) - 2*o(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8448 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1384 = -5*p - 4*u + 582, 0 = 4*p + 2*u - 1574. Let c = -209 + p. Is c <= 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56865*o - 56918*o + 1113 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748003951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 20994 = 0. Suppose -9*j = -12*j + g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/28 + (-25)\/(-7). Suppose 0 = 2*y + 1 - 7. Solve -6 = p - y*q, -q + l = -4*p + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -440. Let n be f\/(-84) + 2\/(-6). Let k(h) = h**2 + 5*h + 4. Give k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/7)\/t*t))**9*(t*t\/(t**(-2\/11)\/t))\/((t**6*t)\/t))**(-7) assuming t is positive.\nAnswer: t**(-278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r = 67*r - 68. What is the closest to 3\/25 in -3\/2, 0.2, 1, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(2*-2*sqrt(27)*5 + 3)**2.\nAnswer: -194562 + 6480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + 1173197*c**2\/4 + 2346391*c\/4 + 1173195\/4.\nAnswer: (c + 1)**2*(c + 1173195)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7952)\/355)\/(-112))\/(21\/540).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 + 30546*n**2 - 61101*n + 30552 = 0.\nAnswer: -10184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 + 22292\/13896. Let l = m + 4\/579. Let a = -1\/12311 - -1514273\/246220. What is the common denominator of l and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -41.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 43*k - 110. Let g(t) = 120*t - 294. Let y(v) = 3*g(v) - 8*n(v). Let h(f) = -f. Let z(m) = 3*m. Let l be z(4). What is l*h(c) + y(c)?\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 58)*(-10)\/(-25). Let a = 26 + j. What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {d: 1, w: 4, z: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 6016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.045 (b) 33.9 (c) -2 (d) -5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 124450, 248873, 373296?\n\"Answer: 124423*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - 2. Let x(z) be the second derivative of 3*z**4\/2 - 5*z**3\/2 + 15*z**2\/2 - 36*z - 1. Let b(p) = p**2 - p + 1. What is d*b(s) + x(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 13) in base 7?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3171 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35913 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-49)\/28)\/(3 + 0). Let k = -160 + 2078\/13. Which is the nearest to -12? (a) p (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277856056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 106 = 3*c, 4*u + 5*c + 215 = 9*u. Which is smaller: u or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -509 + -2dcf8?\nAnswer: -2e201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert b93 (base 13) to base 6.\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21912864 divided by -696?\nAnswer: 31484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*((0 + (2*sqrt(153) - sqrt(153) - sqrt(17)) - (-1*sqrt(425) + 1))**2 + 3).\nAnswer: -16740 + 280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(24)*-1)\/sqrt(12)*2)**2*6.\nAnswer: -48*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83593890 and 415890?\nAnswer: 83593890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199999538*k - 99999770*k - 99999770*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*a - 22689040, 4*t + 18151226 = -a - a. Let d = t - -30437804. Round d to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 690 = -w - 109, 0 = -a + w + 163. Suppose a = q + 2*q. Which is smaller: 54 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 286 = 990. Sort 0, 3, 5, v.\nAnswer: v, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5736, 12315, 19634, 27693, 36492, 46031, 56310?\nAnswer: 67329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 109.5. What is the nearest to -2 in c, -1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 607894332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, 496, 4 in descending order.\nAnswer: 496, 4, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00938 * 0.1.\nAnswer: 0.000938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 1, z: 2, s: 2}. What is prob of picking 1 z, 1 s, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-66 - -70) + 2 + 1*-8). Let w(j) be the second derivative of 5\/24*j**4 - 1\/8*j**5 + 0 + 0*j**2 + x*j**3 - 9*j. Let w(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/(-15))\/(-7)*185. Let a = -78 - k. Let n be 3\/a*(3 - 7). Let f(w) = 3*w - 4. Give f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23656 divided by 4533.\nAnswer: 23656\/4533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*j + 2. Let r = -14 + 10. Let h be (j\/4 - r) + -3. Solve 4*o + 2*m = -0*m, -h*m = -5*o - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b + 3*i = -35, -4*i - 21 = 3*b. Let r = b - -9. Suppose s = -0*k + r*k + 11, -5*k - 17 = s. What is the smallest common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -21*v**2 + 10. Let u be b(-3). Let f = u - -1251\/7. Let t be (-1)\/(-3)*(-8)\/(-4). What is the nearest to 1 in f, t, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4460*x**2 - 1272 - 369 - 4457*x**2)*((0*x - x + 2*x)*(2 - 4 + 0) - 2*x + 0*x + 0*x) to f + r*x**3 + l*x + t*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 3428.76?\nAnswer: 106291.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u = -23*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 42. Suppose 4*q + 12 = r*q. Let c be -4 - (-2)\/(q\/21). Solve 3*x + x + c*o = 1, 6 = 3*x + 4*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91\/12? (a) -10 (b) 2 (c) 1375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3731576481?\nAnswer: 3, 59, 7027451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 189*d - 1327. Let r be s(7). Put r, 3, 5, 10 in increasing order.\nAnswer: r, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 6)*(-4*i + 2*i + 4*i) - 3*i - 4*i + 4*i + 0*i + 0*i - 2*i)*(6 - 1 - 1).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40841, 81657, 122485, 163331, 204201, 245101?\n\"Answer: x**3 + 40809*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166431919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f. Let p(i) = -i**2 + 2042. Determine p(q(u)).\nAnswer: -9*u**2 + 2042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2. Let l = -32 - -37. Let t(h) = 8*h + 3*h - l*h - 4*h. Give t(i(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11444*t**2. Let g(b) = 9*b. Give h(g(r)).\nAnswer: 926964*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*k**3*z**2 - 221*k**3 + k*z**2 + 5*k*z - 311*k - 33*z wrt z?\nAnswer: -148*k**3*z + 2*k*z + 5*k - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 1\/(2 + -3). Suppose -m - 3*b + 3 = 0, 2 + 19 = 4*m + j*b. Find the third derivative of -434*g - 16*g**2 + 434*g + 7*g**m wrt g.\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 4*a**3 + 3*a**3 + a**3 - 2*a**3 - a**3 + (0*a - 2*a + 0*a)*(-4*a**2 + 0*a**2 + 3*a**2) - 4*a + 4*a + 2*a**3 + 2*a**3 + a**3 - 4*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7630 - -7632. Solve 20 - 6 = -v*f + 4*h, -12 = -3*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 - 2389*h - 18591. Give z(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/9))**(-1\/19)\/((a**6\/a)\/(a*a**(-4\/5)*a*a)))**22 assuming a is positive.\nAnswer: a**(-52888\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 11*m - 58. Let w be u(4). Is -2*w\/4*-6349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -220*w**3 - 16*w**2 - 76*w + 16. Let j(x) = -74*x**3 - 5*x**2 - 24*x + 5. Give 19*j(l) - 6*t(l).\nAnswer: -86*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906a (base 11) to base 13.\nAnswer: 5644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 7*b - 4. Let y(c) = -10*c**2 - 22*c + 13. Let l(n) = -7*i(n) - 2*y(n). Let f = 7 + -11. Is l(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 816*g**3 - 47054*g**2 + 598612074*g wrt g.\nAnswer: 4896*g - 94108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 13. Let k be s(10). Suppose 0 = 2*w + 21 - 31. Solve -5 = k*a - o - o, -w*o + 6 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 6*v - 5, 4 = 3*q - 5*v - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1933.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(3\/(-9)). Let a(h) = -7*h + 6. Let w be a(i). Is 11 a factor of ((-8)\/18*-3)\/(w\/(-57))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -7543122?\nAnswer: 5\/3771561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 7*v**2 - 6*v - 10. Let b be r(8). What is the third derivative of 5*p + 22*p**b + p**2 - 36*p**6 - 5*p wrt p?\nAnswer: -1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96aaeb (base 15) in base 11?\nAnswer: -4060213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(96\/(-84))\/8*2. Which is the nearest to -1.634? (a) 0 (b) -4 (c) o (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 + 0 + 0 + (-2 + 4*j**3 + 2)*(-396*j + 198*j + 196*j + 48) to the form w*j**2 + t*j + y*j**3 + g*j**4 + n and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 21 + 1 + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**8\/560 - m**7\/175 - 3*m**6\/200 + m**5\/25 + m**4\/10 + m**2. Let d(x) = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 21*f = 17410. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3942 = -5*u + m + 18184, -5*m = -15. What are the prime factors of u?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 17*s**2 - 17*s**2 + (-s - s**3 + s)*(4 - 1 - 2) as k*s**3 + a + c*s**2 + f*s and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/((-1)\/(-3)). Let j = 17 + v. What is the greatest common factor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/944 and 95\/12991848.\nAnswer: 1533038064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 25*t + 74. Does 14 divide a(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.07139 + 0.05961. Let p = t - 0.131. Put 4, -0.1, p in decreasing order.\nAnswer: p, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3596 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 31*v + 86. What is y(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18344831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1337 and 51.\nAnswer: 68187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 + 3068*u\/3 - 2046.\nAnswer: (u - 2)*(u + 6138)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1279480 and 79\/116.\nAnswer: 1279480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123757 and 6435364?\nAnswer: 6435364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*y + 2980 = -1545, 2*w - 9011 = -3*y. Suppose -2298 - w = -8*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39332 (base 11) in base 4?\nAnswer: 31233230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 712353200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -f + 4*j, 4*f = j - 11 - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-2) - (-6)\/12. Let p = 29393 + -29531.91. Let o = p - -139. Which is the fourth biggest value? (a) o (b) t (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9615.215 litres?\nAnswer: 9615215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 2093706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + u - 3. Let p be v(-3). Let n = 12 - p. Find the second derivative of -3*c**2 + 4*c**2 + n*c**2 + 7*c + c**2 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5, -500.1?\nAnswer: -500.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 313627, 308050, 298755, 285742?\n\"Answer: -1859*b**2 + 315486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202e6 (base 16) in base 5?\nAnswer: -13204224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 60 = 5*v, 2*v = 3*v - r + 3. Let b(w) = -w. Let s(c) = 0*c + 2*c - 2*c + c. What is v*b(m) - 5*s(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43512 and 2058.\nAnswer: 304584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 889757636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 + -1.59. Let v = b - -2.1. Sort -0.4, 0, v.\nAnswer: -0.4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 2, l: 2, o: 8}. What is prob of picking 1 o and 1 l?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3255?\nAnswer: -3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6281.8 - -6282. What is the closest to t in -81, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {m: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 2*l + 2. Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r**(-6))**(-3\/29)*((r\/(r*r**(-3)))\/(r**(-2\/3)*r))\/(((r\/((r\/(r\/(r\/r**(4\/9))))\/r*r))\/r)\/(r**(-2\/19)*r)) assuming r is positive.\nAnswer: r**(16312\/4959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015286748 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131346 and 32.\nAnswer: 4203072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.1, -2, 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*-1*680\/12. Suppose 2*l - 83 = v. Suppose -155 = -4*b + 3*o, 4*b + 4*o - l = 36. What is the remainder when b is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + b + 3. Suppose -3*r = 2*q - 19 - 1, 25 = -5*r + 5*q. Let x(m) = -14*m**3 - 6*m - 15. What is r*x(s) + 11*d(s)?\nAnswer: 5*s**3 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41872\/45 + 2792\/3. Which is the second smallest value? (a) -4\/5 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93808 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1309991325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.7413 decades to months.\nAnswer: 47968.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376 = 2*c - 382 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6601 = -5*x - 3*v, -2*v = 4*x - 3*x - 1316. Suppose -6 = 50*o - 52*o. Suppose x + 133 = o*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from vavgzzagaaazazvaz.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l = -36*l + 5*r - 11659, l = 4*r + 3858. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - -2*2*sqrt(99)) + (sqrt(99) + 1*sqrt(99))*-6)\/(1*sqrt(81) - -2*sqrt(9)*3))**2.\nAnswer: 539\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + 16 + 9401\/(-323). Let z = -14.1 - -0.1. Which is the smallest value? (a) q (b) 1\/6 (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 5*k - 3735. Suppose -a = 5*b - k, -b - 2*b + 451 = 2*a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11 = 2. Suppose 3*u = -4*i + 129, 4*i - i - 126 = -h*u. Suppose -34 = k - u. Solve -2*d = -3*b + 7, 5*d = k*b + 6*d + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5022 + 0?\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 0, -3, -23684?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9236 + 26*w + 9236 to d + o*w and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (sqrt(288) + (sqrt(288) - (sqrt(288) - -4*sqrt(288))) - sqrt(288))*1 + (sqrt(288) + 4)*5) + -4)**2 + -1.\nAnswer: 528*sqrt(2) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:40 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 298273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.215 and -19.\nAnswer: -23.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b - b + 2*b + (b + 8 - 8)*(-6 - 6 + 4))*(-4 + 1 + 11)*(2*b - 4*b + 3*b) in the form p*b**2 + a*b + s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*t + 264*t + 68*t - 243*t.\nAnswer: -113*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a - 192469 = -3*q - 49*a, -2*q + 4*a + 128302 = 0. List the prime factors of q.\nAnswer: 3, 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*b**3 - 1332*b**3 + 1967*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - i - 2*i)*(-18*i**2 + 3*i**2 - 19*i**2) to n*i**3 + v*i**2 + c + a*i and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13165554 + 1?\nAnswer: -13165553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/527, 233, 0 in decreasing order.\nAnswer: 233, 0, -5\/527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n - 149. Determine z(29).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*d - 44. Let i be (-59)\/4*28\/d. What is i rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-6)\/(-8))*4. Solve 2*i = -o*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*b + 29 - 17 = 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(4\/(-4)))\/2. Suppose 3*i - 3*r = m, -i + 0*r = -2*r + 2. Factor -3*k + 3*k**3 - 3*k**i - 4*k**3 - k + k - 1.\nAnswer: -(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 165 = 2*z. Let i = z + 14. Calculate the highest common divisor of i and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*h - 4905 = 0, -4*h = 4*r + 3565 + 3015. Is (-5)\/(-2)*r\/(-25) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r + 308. Let v be o(21). Suppose 3*d + 14 = -f, -3*f - d = -5*f. Put v, f, 4, 1 in descending order.\nAnswer: 4, 1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*o**3 + 117*c*o*q**3 + 44*c*o*q**2 - 2*o**3*q**3 + 18*o**3*q**2 - 134*o**3*q + 2*o**2*q wrt c?\nAnswer: -o**3 + 117*o*q**3 + 44*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t + 11*t + 112 = 0. Let c(u) be the first derivative of 1\/6*u**t + 0*u + 0*u**3 - 1\/3*u**2 + 9. Determine d so that c(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1144 and 81\/7384.\nAnswer: 81224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-24))\/((-1)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/5 - u**4\/3 + 4*u**3\/3 - 237*u + 1. Let b(r) = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19945 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406323852 divided by 36938532.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/8 + 5043*z**2\/8 + 502163*z\/2.\nAnswer: z*(z + 436)*(z + 4607)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.15 (b) -1\/3 (c) -0.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55445 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:38 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 45*y = 0. Solve -s + 4*n + 25 = -y*n, -4*n = 2*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1988 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -887?\nAnswer: 266.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7909 is divided by 902.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17381 - 17376. Solve 3*i = 3*w, w + 42 - 30 = a*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 185. Suppose 4*x - b + r*b = 1448, -x + 359 = -b. Calculate the highest common factor of x and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7952 + 14911. What are the prime factors of q?\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1155 + -797. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -218*a - 35. Let u(c) = -c. Calculate q(u(h)).\nAnswer: 218*h - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4992, 5182, 5370, 5556, 5740, 5922, 6102?\n\"Answer: -o**2 + 193*o + 4800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*b + 14 = -5*b, 0 = -2*f - b. Let c = -18 + 30. What is the remainder when c is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*22\/(-4235)*11088\/8064?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 n when four letters picked without replacement from {y: 10, n: 4}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(0 - 2 + 0)*(-2*t - 2*t + 6*t).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/9)\/(g*g*g**(-5)\/g*g))**(6\/13)\/(((g*g**(1\/8))\/(g*g**(7\/5)))\/((g\/(g*g\/((g*g\/g**6)\/g)))\/(g**(-5)\/g))) assuming g is positive.\nAnswer: g**(3509\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/2 + 12\/2. Which is the closest to 1.8? (a) 1\/7 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x - 5*m = 19, 0 = -x - 5*m - 13. Suppose y = -2*v - 8, 3*v + 20 = x*y - 2*v. Let z = 4 + -7. Put z, y, 2 in descending order.\nAnswer: 2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 2*k + 3237 - 3237 - 26*k**3.\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53 - 8*r**4 - 8*r**2 + 53 wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18116.\nAnswer: 2, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78571349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10310 = -4*u + x, -23*x - 12 = -25*x. Is 45 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8280036 * -6.\nAnswer: -4.9680216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 240, 352, 334, 180, -116, -560, -1158, -1916?\n\"Answer: -v**3 - 59*v**2 + 296*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1) + 1 - 0. Suppose x + o + 27 = 0. Let j = x - -81. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 z, and 1 c when four letters picked without replacement from {e: 8, m: 2, c: 2, z: 2, x: 1, j: 5}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15.885 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 132*z**2 + 18*z + 16. Let b be p(8). Suppose 22*f + 10*f - b = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.8 or -750?\nAnswer: -750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Differentiate 3 + 0*f - f - i wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - l + 2. Let n be p(1). Suppose n*c = c. Let w = 2 + c. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13197122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44388715 divided by 4\nAnswer: 44388715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239840030?\nAnswer: 2, 5, 223984003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d - 7. Let x be n(8). Let f be x\/49 - (0 - -2). Which is the closest to 1\/3? (a) -2\/19 (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 4*i + 4*i)*(3*i - i**2 - 3*i) + (-70*i**2 - 77*i**2 + 38*i**2)*(0*i + 2*i + i) to b*i**2 + x*i**3 + n*i + t and give x.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 28*s**3 - s**2 + 1. Calculate v(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26839, -42, -5 in decreasing order.\nAnswer: 0, -5, -42, -26839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5\/168, -4, -7, 0.2, 0 in ascending order.\nAnswer: -7, -4, -0.1, -5\/168, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, 3, -12, 1255 in descending order.\nAnswer: 1255, 5, 3, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/20*-4*4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szasszzpszappsepszp. What is prob of sequence zsas?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/1407 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63b + 66ada?\nAnswer: 6649d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*c + 19 = 0, -2*n - 2*n = 4*c - 36. Solve 4 = -n*s - 4*j, 4 = -3*j - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + -11 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = -4*q, -4*r + 25 = -3*q. Factor -x**4 - 7*x**2 - 4*x - x**r + 13*x**2.\nAnswer: -2*x*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 10*d - 5. Let n be r(-9). Suppose 299 = 4*t - 4*y - 405, y + 698 = n*t. Calculate the remainder when t is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 97261, 96635, 94931, 91609, 86129, 77951, 66535, 51341?\n\"Answer: -90*s**3 + s**2 + s + 97349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 3\/4, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1 (b) 421 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 6*w - 4*g = -1037, 5*g = -10. Let i = w + 294. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80154586?\nAnswer: 2, 23, 599, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 144.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j - 33. Let y = 3 - 1. Suppose 48 = 3*s + 5*i, -y*i = -4*s - 0*i + 90. Calculate the remainder when s is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16906983 to the power of 1\/2, to the nearest integer?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 437 - 233. Let j(b) = 24*b**2 - 631*b - 1906. Let u be j(-3). Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 663*s - 5314. Calculate i(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -128 - (7 - (27 + 8 + -6)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3479559 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1729344.6 times -5?\nAnswer: 8646723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5))**(2\/87)*((u\/((u*u*u**(-12))\/u))\/u*u)\/(u\/u**5) assuming u is positive.\nAnswer: u**(6968\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9104656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*g - 48 = -44, -3*g = 5*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -159\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159 and 27?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/3 - g**3\/3 + 2*g**2 + 2*g. Let j(l) = 17*l**2 + 9*l - 17. Give -2*j(b) - 9*u(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1333*g*x - 10*g - 24 wrt x.\nAnswer: 1333*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7735933?\nAnswer: 53, 227, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 44776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2862)\/(-795) - (0 - 4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -6*u + 6. What is the hundreds digit of 183 + (u - 9)*(-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3211423*c*m - 3581432*c wrt m?\nAnswer: 3211423*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1346 - -1342. What is the fourth smallest value in -1\/5, 1\/5, 73, r?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, m: 7}. What is prob of picking 2 m?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33461794?\nAnswer: 2, 61, 274277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 11*g - 3. Let h be j(-10). Let n(k) = -k**3 - 4*k - 1 - 8 - 27*k**2 + 14*k**2. What are the prime factors of n(h)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v - 8. Let p(x) = -2*x + 2. Let y be p(v). Sort -8, y, -3 in descending order.\nAnswer: y, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 23986537?\nAnswer: 167905759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 368. Let f = j + 539. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*p**3 + 2*b**2*p**3*x + 17*b**2*x - 2*b*p**2*x + 259*b*x - 2*p**3*x wrt b?\nAnswer: 12*b*p**3 + 4*p**3*x + 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0 + 5 - 1. Suppose -6 = 3*d - q, 3*q = -d + 5*d + 3. Let b(z) = z - 2. Let f(n) = d*c(n) - 4*b(n). Give f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 72135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0.27, -1, -2, 7 in descending order.\nAnswer: 7, 4, 1, 0.27, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**2 - 5*h. Let c(y) = 7*y**2 - 2*y. Let i(f) = -5*c(f) + 2*p(f). Let k(b) = -3*b**2. What is k(i(u))?\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 + 1. Let j(g) = -g + 5. Let b be j(4). Let n be h(b). Let d(f) = -f**2 - 10*f - 10. What is the tens digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 61. Let g(q) = -26*q + 244. Give -9*f(d) - 2*g(d).\nAnswer: -2*d + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193.\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300 divided by -325.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 6. Let x(i) = i - 2. Let z be (-16)\/(0 + (-1 - 1)). What is z*x(m) + 3*v(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 52*q = 518037. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36263260 divided by -191\nAnswer: 189860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100 + 1010110101101010?\nAnswer: 1010111001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 337673 + 11?\nAnswer: 337684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 14*p**4 + 38*p**3 + 50*p**2 + 32*p + 8.\nAnswer: 2*(p + 1)**3*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 77341221\nAnswer: 1\/77341221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1989180.6 to the nearest ten thousand.\nAnswer: -1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99216, 198436, 297656?\n\"Answer: 99220*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 113. Calculate the remainder when h is divided by 0\/(1 - 0) + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let n(h) = h. Suppose -3*o - 5*s + 2 = 0, 2*o = 3*s - s - 4. Let x(b) = 2*b. Suppose m - 5 = -0*m. Let c(z) = m*n(z) + o*x(z). What is i(c(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 4:20 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 10*w + 3. What is n(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(891) + 0 - sqrt(891)))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 - -413. Is y a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 17*l - 25. What is u(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94854872 or -94854873?\nAnswer: -94854872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 - 187 - 60\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3 - 134*x**2 - 5985*x - 89100 = 0.\nAnswer: -45, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-20)*((-40)\/(-12))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71939414969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10075*v - 533*v + 210518 + 598737 = 247031 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*f + 3 - 3. Suppose -y = f, 4*j + 0*y = -y + 36532. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 322, 460, 602, 748, 898?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-8))\/(10*29\/(-580))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-17))\/((-15)\/10). Let k = n + 259\/102. Let d = 62 + -312\/5. Which is the nearest to 1\/2? (a) 1\/3 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naassassanttssal. Give prob of sequence anss.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2057))**2 + sqrt(2057))*-4 - (2*sqrt(425) + sqrt(425))**2*-2) + ((sqrt(204) + (sqrt(204)*-2 - sqrt(204)) + sqrt(204))*6)\/(sqrt(300)*-1).\nAnswer: -582 - 654*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 30 = -5*b. Is ((-921)\/b)\/(2\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.54 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 35 = 5*p, 2*m + 0*p = 5*p + 17. Suppose -m*g + 5*g = -4. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 7*c - 12. Let o be s(-6). Let m be 1\/6 + (-3)\/o. Factor 5\/3*v + m + v**2.\nAnswer: (v + 1)*(3*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289 and 47209.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 90697936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1\/(-10))\/((-6)\/15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n + 1. Let h(u) = -6*u**2 - 12*u + 12. Let c(k) = h(k) - 12*v(k). Let j(r) be the third derivative of r**4\/12 - 2*r**2. Determine c(j(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:36 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-26))\/((-34)\/(-68))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/4)\/(o\/(o*o**(-2\/23)\/o))*(o**1)**(2\/63) assuming o is positive.\nAnswer: o**(-10463\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*p**3 + 40937*p**2 - 9209734*p + 120120 = 0. What is p?\nAnswer: -308, 3\/230, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 3*i - 1 - 4*i + 3*i. Let r be u(2). Let c = -3.05 + 0.05. What is the second biggest value in c, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -1\/2 (c) 0.06 (d) -3\/5 (e) 0.086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1263 + -837. What are the prime factors of f?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -7*s**4 + 123384*s**3 - 21344771*s**2 + 930747750*s - 264188376 = 0.\nAnswer: 2\/7, 87, 17452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*u + 1092, 1406 - 341 = m - 5*u. Calculate the greatest common factor of m and 2886.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 103200033323?\nAnswer: -103200033333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + -42 + 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + 2\/6*3). Is 8 a factor of ((-48)\/(-20) - 2)\/(z\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 1, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) -0.1 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 83. Which is bigger: 9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-686)\/8 - ((-25)\/40)\/((-33)\/66)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (429\/9)\/(4\/120). What is the common denominator of (-2)\/5 + 22\/180 and 2\/(-4)*w\/30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f + 5*f. Let s(z) be the third derivative of 0 + 1\/24*z**4 - 1\/6*z**3 + 0*z + 2*z**2. What is s(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2\/2 + 108*r + 140. List the prime factors of p(-10).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, t: 5, b: 4, k: 5}. What is prob of picking 2 k and 1 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8044\/11 - 732. Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16210230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -987 divided by 15\nAnswer: -329\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 1 - (23 - 1 - (-1941 - -1898))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.3. Let x(m) = -m**3 + 16*m**2 + 76*m + 80. Let n be x(20). Let z = -3.55 - 0.45. Which is the nearest to n? (a) -1\/4 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(10\/(-1))*(-6486)\/(-1518).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1\/2, 5, 309662 in descending order.\nAnswer: 309662, 5, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8997, -33943, -75527, -133755, -208633?\n\"Answer: -z**3 - 8313*z**2 - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -216120.\nAnswer: -1\/216120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-6160)\/(-440))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 490, 733, 978, 1225?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 354644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/4*10\/15. Let q(x) = -31*x - 17. What are the prime factors of q(v)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q - 335 = 0. Let l be q - (1 + -2 - 0). Let v be (-37)\/(-3) + (-44)\/l. What is the highest common divisor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94448 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.130286 kilograms?\nAnswer: 1130286000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 3. Suppose -5*q + 40 = -0*q. Suppose -2 + q = -6*d. Let o be (-1 + 2)*(d - 2). Let k(b) = b. Calculate o*k(z) + p(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 185b (base 16) to base 5\nAnswer: 144420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 40.83. Let f = 0.1 - w. Let n = f + 0.070134. What is n rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(6\/(-144)*6)*-12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 738. Let t(y) = y - 246. Let i(z) = 11*t(z) - 4*v(z). List the prime factors of i(-8).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 2*g - 3)*(1 - 2 + 3) + 50*g + 733*g + 1195*g)*(-g**3 - g**3 + 3*g**3) in the form b*g**2 + j*g**4 + q*g + c + t*g**3 and give j.\nAnswer: 1982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 = -2*f + 3*a, 3*f = 5*a - 2*a - 1335. Let x = f - -845. List the prime factors of x.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*o + 40 = 0. Let w be (-2)\/(-3) - o\/30. Suppose b + 115 = 112. Put 2, b, 3, w in descending order.\nAnswer: 3, 2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + (sqrt(612) + sqrt(612) + 0)*5 + sqrt(612) + (sqrt(612) + -1 - sqrt(612)) + 3 + 1 + (sqrt(612) + -1 + 3)**2 + sqrt(612))*4.\nAnswer: 384*sqrt(17) + 2481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 704503423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(45\/12)*(-102)\/(-272).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3694891\/7 or 527842?\nAnswer: 3694891\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-96)\/6)\/(7\/42) - -6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 + -11 + 5) - (-6 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s**2 + 4*s - 4. Suppose 6 = 2*z - 0. Calculate the remainder when r(z) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*s - 4)*(s**3 - 3*s**3 + 3*s**3) - 5*s**3 + s**4 + 5*s**3 - 3*s**4 + s**4 + s**4 + 6*s**4 - 3 - 2*s**3 - 3*s**4 + 0*s**4.\nAnswer: s**4 - 2*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -136865 (base 10) in base 4?\nAnswer: -201122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069894349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9438 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58973, -58994, -59015, -59036, -59057?\n\"Answer: -21*q - 58952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 5. Let u(w) = -200*w - 404. Let t(s) = -3*b(s) + u(s). Find the first derivative of t(a) wrt a.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 + 7*n**4\/24 - n**3\/3 + 6*n**2. What are the prime factors of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 1 f when three letters picked without replacement from ndzzsanfasza?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -9*z - 40 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g + 0*g**3 + 8\/7*g**4 - 6\/7*g**2 + 0.\nAnswer: 2*g*(g + 1)*(2*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 176. Let c = -191 - -213. Calculate the remainder when o is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 89. Find the second derivative of 201*q**2 - 201*q**2 + q**4 - 3*q**t - 48*q - 11*q**5 wrt q.\nAnswer: -220*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 5346800*b - 5346804.\nAnswer: 4*(b - 1336701)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34505045 is divided by 2539?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -388, -386?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-14))\/(1054\/4046 - (-12)\/(-102))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -1 - (-39)\/(-3). Let b = f + 20. Let t = 176 - 173. Sort t, -3, -5, b in descending order.\nAnswer: b, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1320690 by -5.\nAnswer: -264138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 49 = 5*r. Let h be 7\/(98\/(-4)) + (-1724)\/r. What is the second derivative of 10*m**2 + h*m + 0 - 251*m + 0 wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3228 and 437388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 14. Let w(y) = -7. Let m(n) = 20. Let b(q) = -6*m(q) - 17*w(q). Let d(x) = -42*x + 1480. Let t be d(35). Give t*b(r) + l(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91386 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -901 - -947. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -222? (a) 3 (b) -8 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/6)\/(412\/(-1525224))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i**3 - i**2 + i + 1. Let l be y(1). What is the hundreds digit of (-24)\/l*(-398)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)\/n)**(4\/21)*n**13*n*n\/n**(-22)*n*n*n assuming n is positive.\nAnswer: n**(841\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.0873 - -0.1003. What is l rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 151, 162, 177, 196, 219?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -103, -19 in decreasing order.\nAnswer: -2, -19, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 3, n: 3, w: 3, t: 5}. What is prob of picking 3 t and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 11*n - 12. Suppose 5*x + 4*b - 21 = 0, 3*x + x - n*b = 23. Put -4, x, 0 in decreasing order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 3*d**2 - 4*d + 2. Let q be x(3). Suppose 2*u - 41 + q = 0. Suppose -504*i + 508*i = 144. What is the greatest common divisor of i and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 - 2475*l**2 - 1869*l - 9242. Determine d(-618).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 59. Sort 25, b, 2 in decreasing order.\nAnswer: 25, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 9. What are the prime factors of h(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -1384*t - 1321 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and 66?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2115227382 divided by -3.\nAnswer: 705075794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-5 + 4 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -187*j**2 + 48*j**4 + 187*j**2 + (-6*j**2 + j**2 + 4*j**2)*(2 + 2*j**2 - 2) + 3*j**4 + j**4 + 0*j**4.\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 2*b**3 + 2*b**2 + 3*b**2)*(0*b**2 - 2*b**2 - 2*b**2).\nAnswer: -8*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = y, -y - 5*p = 2*y. Let h = y - -1. Solve 4 = b + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326128 and 1038334?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:15 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:07 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6556197 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 - -1.67. What is the nearest to w in -2, 4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i - 14. Let g(r) = 6*r - 6. Let w(k) = 4*k - 6. Let z(v) = -4*g(v) + 5*w(v). Let o(p) = -3*y(p) + 7*z(p). Let u(s) = -58*s**2. Calculate u(o(q)).\nAnswer: -58*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 - 3*w**2 - 3*w**2 + (8*w - 3*w - w)*(w + 0 + 0).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 55*o + 130. Give i(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c**5\/7 - 962*c**4\/7 + 4140*c**3 - 281088*c**2\/7 + 20736*c\/7 + 331776\/7 = 0.\nAnswer: -1, 6\/5, 24, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -20, -42 = -z + 5*f - 2*f. Suppose -4*w - 3*q + 35 = -22, -2*q = -3*w + z. Solve -3 = -5*s + w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323 - 4204 - 872 + z.\nAnswer: z - 3753","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 466517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 5*j**3 - 24 + 20 to s + b*j**3 + k*j**2 + r*j and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 25 = j, -4*j + 48 = -0*r - r. Let k = j + -6. Calculate the remainder when 27 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 502 - 503. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 20. Let d(h) = -50*h + 103. Let x(c) = -13*c + 26. Let y(g) = 6*d(g) - 23*x(g). Determine 3*b(n) - 4*y(n).\nAnswer: n - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2444 times -0.2?\nAnswer: -0.04888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - (9 - 8)) - 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 94803*f + 189602.\nAnswer: (f + 2)*(f + 94801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -524 + 533. Let l be p\/(-2 + 5) + (-20)\/8. Solve -3\/2*u - 1 + 0*u**2 + l*u**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhwqwurwwqwwnqu. Give prob of sequence uh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19678 or 19661?\nAnswer: 19661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7102\/7, 206, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -6, 5, 24, 51, 86?\n\"Answer: 4*i**2 - 9*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1981*p + 6*p**2 + 3941*p + 12*p**3 - 1965*p as f*p + s*p**2 + y*p**3 + m and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, and 2 s when four letters picked without replacement from {u: 1, k: 1, t: 1, s: 4, r: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2986*u - 312246 = -776*u for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1935318 - 0.026\nAnswer: 1935317.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 16*j**2 - 2 + 5 + j**2 with respect to j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 17*d**2 + 15*d - 17. Is h(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v = 4*l - 17, l = 2*v - 2. Calculate the remainder when 68 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:40 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baj when three letters picked without replacement from {b: 3, j: 1, f: 4, a: 2, k: 4, v: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from qqqqqqwqqqqqqqqqqbq?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + l**3 - 2*l**4 + (-4 + 4 + 3*l**3)*(2*l - 5*l + l).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 339230 divided by 67846\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 1. What is the closest to -0.5 in 1\/2, d, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(289\/34 + -1)\/(6\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25098904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13628 times -3.3257\nAnswer: -45322.6396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4560 + -1604. Is x a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28790000 rounded to the nearest one hundred thousand?\nAnswer: 28800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128136*a**2 + 7*a - 2471894.\nAnswer: 256272*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/11156460 and -5\/98176848?\nAnswer: 490884240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 15*r + 0 - 17*r)*(-r**2 + r**2 + r**4).\nAnswer: -2*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/14)\/1*-2. What is the second derivative of -110*k**2 + 4*k + w + 0 - 14*k + 1 wrt k?\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teettt. What is prob of sequence ettt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + 2*v)*(2 + 3 - 2)*(0 + 4 - 3).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 2. Let w be (-2 - 1)\/3 - -3. Suppose 3*k = w*k + 3. Determine d(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40))\/(3739\/179472)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226132, 7, 2, 5, 3 in descending order.\nAnswer: 7, 5, 3, 2, -226132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1417 and 2106.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 52. Let g = 12 + h. Suppose 3*x = g*x. Solve -4*v - 2 + 14 = x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*z + 37363 = 0, -4*q - 7*z + 149434 = -10*z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16949993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 1551714*j\/5 - 601954084449\/5.\nAnswer: -(j + 775857)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*k - 28. What is the smallest value in k, -2, 15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/77462 and 51\/56.\nAnswer: 309848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 + v**2)*(-3*v + 3*v + v) - 43*v**2 + 96*v**3 - 332*v**3 + 234*v**3 - 89.\nAnswer: -v**3 - 43*v**2 - 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138249138 * -0.2.\nAnswer: 27649827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 14*j**2 - 12*j - 13. Let n be l(6). Calculate the greatest common divisor of n and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 12*l + 26. What is q(7)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0*v**2 + v**2 + 5 + 9*v + 0. Let u(c) = 2*c**2 + 18*c + 8. Let g be u(-8). Give r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**2 + 3*p**3 - 10*p**3 + 237*p - 2*p**3 - 246*p + 2*p**3 + p**4.\nAnswer: p*(p - 3)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-24)*5*12\/15*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34750 or 69497\/2?\nAnswer: 69497\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 0, -3*a + 7*a = -3*m + 24. What is the remainder when 20 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*g**2*p**3 + 80*g**2*p**2 + g**2 - g*p**3 + g*p + 5*g + 49506*p**3 + 7*p**2 + 6*p wrt p.\nAnswer: 426*g**2 - 6*g + 297036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -740\/7. Is m at most 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957888*l**3 - 957897*l**3 + 58*l - 109*l + 51*l.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 1. Let d(j) = -5*j - 6. Let u = 0 - -11. Let m(x) = u*z(x) - 2*d(x). Let t be m(-3). What is the third biggest value in 0.2, t, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 - 100*j + 4697. Determine k(-42).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 3*t**4 - 2*t - t**4 + (2*t + 2*t - 5*t)*(-t**3 + 0*t**3 + 3*t**3) to the form w*t**3 + p*t + f + y*t**2 + k*t**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Let p be (4\/6)\/(h\/15). Does 9 divide p\/(-4) - 35\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m + 287*m + 1672 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2306*o**4 - 320*o**3 - 82*o**2 + 3123*o?\nAnswer: 55344*o - 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y*y**(8\/3)*y**2\/y**(8\/5) assuming y is positive.\nAnswer: y**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2)*(-2)\/4. Let q = -4637\/5 + 102199\/110. What is the common denominator of (-1)\/22 + (0 - s) and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58290 by -5829.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8305 is divided by 89.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1441932923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 8*j + 10. Let a be k(7). Suppose 0 = p - a. Find the second derivative of -2*h**4 + 2*h + 0*h + 0*h**3 + 0*h**p wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 85*p**2 - 42*p**2 + 8*p**3 - 43*p**2. Let s(o) = 8*o**3. Give 2*l(a) - 3*s(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**0*c)*c*c**(-11)\/c)\/(c**(-1)\/c)**(-50) assuming c is positive.\nAnswer: c**(-113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336478 is divided by 128?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(17) + 1 + -5)**2 + (4*(sqrt(187) + 1*sqrt(187)))\/sqrt(11) + 0 + 2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 99*k - 125. Let a be v(15). Calculate the greatest common divisor of a and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 153*h**2 - 141*h + 1517. Is c(92) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -40. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 7*x + 15. Let j(u) = -14*u**2 - 22*u + 44. Let z(n) = -11*i(n) + 4*j(n). Let w(s) = -2*s + 2. What is -11*w(c) + 2*z(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413*i**3 - 143*i**2?\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3*1\/15). Suppose 15 + 5 = j*z, -4*z + 48 = r. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpvutppvvbvk. Give prob of picking 1 k and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 + b**2. Let x be j(1). Sort -1, x, 1.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (15 - 400\/(-28))?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 18\nAnswer: -11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36712086?\nAnswer: 2, 3, 29, 101, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 131, 179?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599 is divided by 178?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84.99829 - 85. What is k rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 1. Let b(d) = 4*d**2 - 9. What is b(u) + 3*f(u)?\nAnswer: u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + 3*w**2 - 5*w + 3. Does 5 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9815 + -9817. Put k, 218, -3, -1 in descending order.\nAnswer: 218, -1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = -o. Suppose -6*z = o*z - 630. Suppose -4*h = -17 - z. What is the remainder when 39 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -37*c**3 + 40*c**2 - 43*c + 14. Let s(v) = 23*v**3 - 25*v**2 + 27*v - 9. Let k(f) = -5*r(f) - 8*s(f). Suppose 0 = -2*b - 0*b. Calculate k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469411697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**4 - 672*q**3 + 4148*q**2 - 6672*q + 2048 = 0.\nAnswer: 2\/5, 2, 4, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310200027.\nAnswer: 3, 103400009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 10 = 3*y - 19*v, -2*y + 5*v + 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 + 4*l - 2. Let s(b) = b**2 - 13*b - 5. Let t be s(10). Let h be 14\/t*(0 - 5). Let j be g(h). Is j less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/184556 and -19\/16.\nAnswer: 738224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 - -3) - (1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12358 divided by 3.\nAnswer: -12358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110101?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 349358 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + f = 3, 3*r + 3*f - 4 = 4*f. Let m be ((-300)\/r)\/(7\/((-319900)\/30)). What is m rounded to the nearest ten thousand?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3372, 3617, 3862, 4107, 4352?\nAnswer: 4597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 1. Let s be -2*1 - (-3 - 2). Let f(o) = 7*o**2 - s*o - 4 - 3*o**2 + o. Suppose k = -i - 5, -i - 18*k = -20*k - 16. Give i*j(c) + f(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v - 2277 = 154*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 + 726*o**3 + 1463*o**2 - 5100*o + 2912 = 0. Calculate o.\nAnswer: -4, 1, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/33)*(t*(t**(10\/3)*t)\/t)\/t assuming t is positive.\nAnswer: t**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209039058 to the power of 1\/4, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33556 - 0.20456. What is the fourth smallest value in p, 1, 0.7, 0.2, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -980024643046 and 0.62?\nAnswer: 980024643046.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78403*s - 2 - 78403*s + 206*s**4 + 450*s**2 - 2*s**5 wrt s.\nAnswer: -120*s**2 + 4944*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10098\/(-408))\/((-4)\/((-24)\/(-11))).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i**1)**(-2\/71)\/((i**1\/i*i*i)**(4\/19)*(i**(1\/4)*i*i)\/i**(-1\/3)) assuming i is positive.\nAnswer: i**(-51371\/16188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668216001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Let n(r) = -2*r + 1. Let m(y) = -2*y + 1. Let i(k) = -4*m(k) + 5*n(k). Let l be i(0). Sort s, l, -8 in descending order.\nAnswer: l, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*n + 64. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.125 and 3.1173.\nAnswer: 2.9923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 38*h + 2871. Let j be z(-75). Solve -30*w + j = 21 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:54 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*q - 3, 96 = 5*x - 4*q. Suppose 8*m = 3*m - x. Let r = m + 8. What is the highest common factor of 24 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 4*v**2 - 5*v + 8. Is i(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (1 - -12) - -11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (1 - 0)) + -4931 + 4957?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 48*k - 91. Let j be s(15). What is the third derivative of -v**2 - 3*v**2 + v**5 - v**3 + 655 - j wrt v?\nAnswer: 60*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 510905584 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -93594.\nAnswer: -2714226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/39296 and 37\/4?\nAnswer: 39296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -28653*u**3 + 3*u + 28617*u**3 - 2 + 141*u**4 - 145*u**4 as x*u**2 + k*u**3 + r*u**4 + z*u + v and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**6\/360 - d**5\/120 + d**3\/6 - 3*d. Let o(u) be the second derivative of q(u). Determine b, given that o(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -10)*(-10)\/(-15). Sort -54, 3, c in decreasing order.\nAnswer: c, 3, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1034008, 2068055, 3102102?\n\"Answer: 1034047*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 120*r**3 - 2 - r - 131*r**3 + 3*r**2 - 2*r**2. Determine s(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*s - 4*p + 9, 7 = -2*s + 3*p. Suppose 3*k - 2*q - 5 - 8 = 0, -2*k + 3*q + 17 = 0. Let d be 2\/k*1 + s. Solve d = -2*b + 2 + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -111 in 0.05, 209\/4, 0.2, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + u + 4. Suppose -18*n + 19*n = 9. Suppose 7*x = 4*x - n. Give v(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose 2*p + 408 = 5*n, o*n + n - 5*p = 323. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 21153436?\nAnswer: 21153442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 2*z - 1. Let s be 3\/21 + 60\/21. Suppose 5*d + 1 + 6 = t, s*d + 12 = -2*t. Let n be v(d). Is -1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwlwlwtw. Give prob of picking 2 l and 1 w.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2060.3 - -2060. Let a be -3*1*(-12)\/(-18). What is the second smallest value in 2, a, m, -0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -11. Let x = -10 - m. Suppose -f + 2*i + 232 = f, 5*i = x*f - 459. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.72 + 0.28. What is the third smallest value in v, 3\/4, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1896830.3 to the nearest 10000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*g = 154549, 4*y + 6*g - 2*g = 123636. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 5. Let r(z) = -6*z**2 + 1. Let y be r(-1). Let u be j(y). Let i(p) = -p - 1. Calculate i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1898*o**3 + 7144*o**3 + 4120*o**3.\nAnswer: 9366*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 240? (a) -2 (b) 0.1 (c) 15 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 take away 13?\nAnswer: -12.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-29*c - 270 + 114 + 108 + 7*c).\nAnswer: -44*c - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:35 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + -4 + (-6)\/(-2). Suppose 1287 = -19*h + 14967. Let r be (-96)\/h + 34\/30. Put -1, r, -3, k in descending order.\nAnswer: r, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 r when four letters picked without replacement from {r: 2, e: 1, t: 1, z: 1, f: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4097 is divided by 766?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9586.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 8*t**2 + 45*t + 15. Let f be x(11). Solve -31*h + 70 = -f for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 + 32*s\/9 + 4\/3.\nAnswer: -4*(s - 3)*(3*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/((((j**4*j*j)\/j*j)\/j)\/j*j*j)*j)\/(j**0\/j))\/(j*j\/j**(-1\/3))**6 assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1172018781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -35. Do 9 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let j = -11 + p. Let h = 1 - j. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721.9356 nanograms to grams.\nAnswer: 0.0000007219356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 8. Suppose -2*u + 5*u - 21 = -3*w, -14 = -5*u + f*w. Suppose 4*b + 2*l = 10, 0 = -3*b + b - u*l - 10. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458) - -1*sqrt(1458))*-6 + sqrt(1458))\/((sqrt(7260)*1 + sqrt(7260) + sqrt(60))\/sqrt(10)).\nAnswer: -99*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:01 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)*p)**(7\/8)*(p**(-1\/16)*p)\/((p*p**(-2))\/p) assuming p is positive.\nAnswer: p**(169\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 != 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(1\/12))\/(n\/((n*n\/n**(-7\/2))\/n)))**(1\/2)\/(n**(-2\/11)\/n**(-2\/7))**(-47) assuming n is positive.\nAnswer: n**(15107\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1429 (base 11) to base 15\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*1*sqrt(891)*-2*1*4 + 4.\nAnswer: 4 + 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/12 + o**3 + 9*o**2\/2 + 9*o + 7. Factor i(f).\nAnswer: (f + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -8*m - 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9908\/3 - -3273. Let y = 31 + h. Factor 2\/3*g**3 - 2\/3*g + y*g**2 - 4\/3.\nAnswer: 2*(g - 1)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -5*z**3\/6 + 14*z. What is f(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/16, 370, 0.6, -2\/15, 1\/7 in increasing order.\nAnswer: -2\/15, 1\/7, 3\/16, 0.6, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-6 + -2 - (3 + -11 - -8))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + v**2 + v**2)*(-4 + 4 - 2*v) + 121*v**2 + 2327*v**3 - 2326*v**3 - 8 + 127*v**2 in the form u*v**2 + r + k*v + j*v**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32166 by -3.\nAnswer: -10722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 39.76 - -1743\nAnswer: 1782.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -582.952 - -583. Which is greater: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*d + 3*d. Let b(p) be the second derivative of -1\/6*p**d - 2*p**2 + 0 - p. Calculate b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45321240 (base 6) in base 2?\nAnswer: 101010000101110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 497775209 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*p**3 - 2*n*p**2 - 156*n - 9*p**3 wrt p.\nAnswer: 6*n*p**2 - 4*n*p - 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diiiiiddiiiiid. Give prob of picking 1 i and 3 d.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 1. Let g(r) be the second derivative of -r**2\/2 - 2200*r + 1. Suppose 5*f - 1 - 4 = 0. Give f*w(u) + 2*g(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 6, b: 3, x: 4, e: 4}. Give prob of picking 1 d and 2 x.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6549 + 39673. Let g = i + -46515.79. Let d = 290 + g. Round d to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 378528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 17*g + 31. Calculate the least common multiple of x(16) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32031 = 4015*c + 144629 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294909029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1035 - -1089. What is the highest common divisor of s and 1890?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1685412 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 544.2301 meters?\nAnswer: 544230100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 minus -11.35192604?\nAnswer: 11.47292604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 3 = 4*g + 1, 2*y = -2*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.261 - -7.2610000194. What is u rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 u when three letters picked without replacement from cetedceeeeucd?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4)*6*(-2)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from cmcmrlmgcmcgg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -575.6 + 611.61. Let u = n + -1.11. Let o = u - 34.90772. What is o rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23880 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -0*n - 3429. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42015*y - 43296*y - 15372 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -46, -956, 0, -1 in increasing order.\nAnswer: -956, -46, -19, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -321065515?\nAnswer: 321065525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 divided by 26?\nAnswer: 459\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = a - 7*h, -4*a + 210*h + 16 = 205*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/12 + 1\/4. Which is the closest to -4? (a) 2 (b) f (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(((x\/(x\/x**(3\/14)))\/x)\/x)*((x*(x*x**(-5))\/x)\/x)\/x)\/(x**(-2)\/(x**(8\/3)\/x)) assuming x is positive.\nAnswer: x**(61\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = -0*n. Let w be -64 + 65 + (-2 + 2 - -1). Solve 19 = n*z + l, z + 3*l = -w*z + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4498111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:09 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7722700 and 1885?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**5 - 88*d**4 - 48*d**3 + 116*d**2 + 54*d - 28 = 0. Calculate d.\nAnswer: -14, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4873 + 11504. Is 81 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 - -1388\/5. Let w = -139 + 138.99. Put d, 0.1, -1\/4, w in ascending order.\nAnswer: -1\/4, w, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 6*t - 13. Let w be p(9). Suppose -w = 6*a - 8*a. Let r = a - 49. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -21*c + 1. Calculate p(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**6\/42 - 6*w**4\/7 + 64*w**3\/21 - 24*w**2\/7 + 164. Factor m(d).\nAnswer: d*(d - 2)**3*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 7. Let c be l(-7). Suppose 5*w - 3*w - 38 = c. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 29. Let t = -10.00007 + u. Round t to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 + 958\/5. Let a be (-6)\/(-4) - (-4)\/120*5. Put 0.2, a, d in descending order.\nAnswer: a, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -696822 (base 14) to base 4\nAnswer: -31230221132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2850546.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wymm when four letters picked without replacement from wmtjtmyk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, c: 1, v: 2, s: 1}. Give prob of picking 1 v and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from scs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -29*d + 1745. Let w be u(60). Solve w*k - 83 = -93 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.4 - 8.4. Let i be 396\/(-44) - 53\/(-6). What is the third smallest value in g, -15, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaeeeaeaa. What is prob of sequence aee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*8\/(-28))\/((-48)\/84)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 1. Find the common denominator of -5 - (-771)\/120 - (n + 0) and 21\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddda. What is prob of picking 2 d?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 21*m**2 - 16846*m - 10467. What is r(141)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 40 + 46 + -67 - 22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:38 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -49373260 + -0.06016\nAnswer: -49373260.06016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = 2*r, 9 = -3*r - 3*j - 0. Suppose 2*u - 3*v = -9, 12*v = 3*u + 17*v - 15. Solve -5*z - f + r*f = 0, u = 5*z - f - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 4*d + 2. Let h be g(5). Let x = -32 - h. Let n = x + 55. What is the highest common divisor of n and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 - 19*a**2 + 84*a**2 - 26*a**2 - 31*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 60. Suppose 3 + 11 = k - 4*r, -14 = -m*k - 5*r. Suppose -2*q + a + 96 = k*a, 5*a - 10 = 0. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.60248 to 2 decimal places.\nAnswer: -34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1323 and 8379?\nAnswer: 25137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.24 + 2.01. Let i = 0.8 - j. Let m = -0.0385 + i. What is m rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4194 = 11*k - 16*k - 4*z - 4184, -6*k = 3*z - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.81 + 17.84. Let d = 8 - g. Round d to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 h when four letters picked without replacement from {s: 2, h: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82521.6891686 - -5.59.\nAnswer: 82527.2791686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*u + 108*u + 228*u.\nAnswer: -600*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -33.6. Let r = -0.1 + d. Let h = -1 + r. Which is the smallest value? (a) -0.05 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7976.455 nanograms to tonnes.\nAnswer: 0.000000000007976455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-3 + sqrt(78))\/((sqrt(24)*2)\/sqrt(4)).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10*(-10)\/2. Which is bigger: 6\/19 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4, c: 2, g: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126866 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 42*s = 33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -909d (base 14) to base 9.\nAnswer: -37054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.836\nAnswer: -0.0836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 136. What is the closest to a in 0.1, -1\/2, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -38*t**2\/5 + 554*t\/5 + 252 = 0.\nAnswer: -2, 315\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p. Let f be (p\/(-2))\/(-15 - -14). What is the nearest to 5 in f, -3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975 by -5.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2839 = -29*f - 27*f - 3538 + 1561 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(-8979)*108\/(-18).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31 plus 2739853?\nAnswer: 2739850.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(396) + 0 + sqrt(396) - (5 + sqrt(55)\/sqrt(5))))**2.\nAnswer: -990*sqrt(11) + 12204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 22052\/(-26)) + (-8)\/52. Suppose -2*s = -3*b - 840, 6*s - 8*s = b - y. Calculate the greatest common factor of s and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1162668552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*m + 66 = -172*m. Suppose -3*r + 8*r - 100 = 0. Let s(x) = -x**2 - 4*x. Let v be s(-3). Solve 0 = -m*g + g - 5*y - r, y = -v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 91*d**2 + 35*d - 445. Let n be z(-45). Let l(m) = -8*m**3 - 5*m**2 + 5. Let s(b) = 9*b**3 + 4*b**2 - 4. What is n*s(v) + 4*l(v)?\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ememm. Give prob of picking 3 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29443 + -29400. Calculate the remainder when 16553 is divided by d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 70*r**2 - 897*r - 103. Calculate i(53).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*v = 12, -3*v + 12 = -g - 2*g. Let l(i) = i**3 - 2*i**2 + 2. Let y be l(2). Solve p = y*k - k - 1, g = 5*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4731504?\nAnswer: 2, 3, 98573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*((p*p\/(p**(-9)*p*p)*p)\/p*p)\/p)\/p)\/(p**(-3\/4)*p))**21 assuming p is positive.\nAnswer: p**(819\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -229\/8. Let l = 2.5 - 3. Let d = -117\/4 - -29. What is the nearest to -0.4 in t, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569939 to the power of 1\/2, to the nearest integer?\nAnswer: 1889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45018050*o**6 + 96112*o**2 - 29*o?\nAnswer: 5402166000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 168 = -20*s. Suppose 0 = 13*u - s*u - 32. Sort 2, -192, u in descending order.\nAnswer: 2, u, -192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6316889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1 + -5 + 3) - -29. Suppose -9*f + 17 = -z. Suppose -u - 4*s - 5 = -6*s, -5*s = -2*u - 15. Solve 3*y - a = 10, f*a = -0*a - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, 0.4, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1920048 and 91\/664632.\nAnswer: 17280432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Let a(w) = w**3 - w + 4. Calculate the least common multiple of a(i) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/1*(-60)\/(-40) + -3. Solve -g*p = 4*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 624 or 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 5*v + 3. Let f be n(-5). Let t = f - 3. Which is bigger: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 254709*b + 15780426.\nAnswer: 3*(b + 62)*(b + 84841)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z. Suppose -9 = 5*r + 2*p - 64, -43 = -2*r - 5*p. What is the least common multiple of t(4) and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -337\/1155 - -1\/165. Let a = -6 - -2. What is the nearest to 1\/3 in -2, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 4, -9, -38, -89, -168, -281, -434?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(4\/15)*(r\/r**3)\/r**(2\/21))\/((r*r\/(r*r**(-5)\/r*r)*r*r**(-8)\/r)\/(r**(-1\/3)\/r*r*r*r*r*r**(2\/7))) assuming r is positive.\nAnswer: r**(272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 656, 1318, 1980?\n\"Answer: 662*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -175 + 179 + (-6 - (0 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose 5*z - 1 = 3*d + 25, d = 5*z - 22. Solve -x - z*x - 25 = t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-37)\/2590*-14?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -56. Let x = 29 + q. Suppose -l + x - 43 = 0. Which is bigger: l or -1\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*16040.\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 147*f**2 - 154*f - 2917. Determine a(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -5. Let y(u) = -6*u - 4. Let m(d) = 2*d + 1. Let n = 9 - 4. Let r(l) = n*y(l) + 14*m(l). Let h(i) = -2*i - 5. Determine o*h(v) + 5*r(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11297*y**3 + 7352?\nAnswer: -33891*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*t = 228*t - 569328. What is the greatest common divisor of 87 and t?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2 + 7*h - 10. Let d be p(5). Suppose 4*i = -5*z + 1657, d*i + 5*i - 5*z = 2060. Is 45 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001142 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0.2. Let i = 2.9 + 0.1. What is the third smallest value in n, i, 2\/21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let o = -2\/173 + -515\/346. Which is the biggest value? (a) 1\/5 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69ac1 (base 15) to base 4\nAnswer: 1102022230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 311 + 295 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*f - 10*f - 92*f)*(2*f**2 - 2*f**2 - 2*f**3) to the form b*f**4 + r*f + x*f**3 + s*f**2 + n and give b.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 6. Let c be q(-5). Let t be 614179 - (c + 3\/3). Suppose 4*a - t - 1585823 = 0. What is a rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1134 and 54.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 384239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4868 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -68.42?\nAnswer: -342.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 5994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 378 - 217. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.049? (a) -603 (b) -13 (c) 0.4 (d) 3 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22062, 44128, 66196, 88266?\n\"Answer: o**2 + 22063*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 5*o**2 + 2*o + 6. Let x be w(5). Suppose 0 = -4*j - 4*d + x, 0 = -j + 2*d - 0 + 13. What is the greatest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -10, -21, -30, -37, -42, -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 6. Let m(n) = 8*n + 7. Let u(a) = -4*m(a) - 5*w(a). Let t = 2 - -1. What is the remainder when 31 is divided by u(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -222 - (4 - 3). Let q = 230 + p. Let c = -2 - -1. Put 4, c, 14, q in descending order.\nAnswer: 14, q, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = r - 17, f + f = 3*r - 11. Let m be (f\/6)\/((-91)\/(-12)). Let k = 2\/819 - m. What is the second biggest value in -2\/9, k, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154000 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -386365*i**2 - 25*i. Let f(s) = -3*s**2. Give n(f(j)).\nAnswer: -3477285*j**4 + 75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibib when four letters picked without replacement from {c: 2, b: 5, i: 8}?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5687, 5663, 5639, 5615?\n\"Answer: -24*v + 5711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 372*l. Let q(b) = -7*b. Give q(t(p)).\nAnswer: -2604*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0834 less than -70?\nAnswer: -69.9166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*11626\/(-8). Let q = y - -972. What is the common denominator of q and -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + v - v)*(-2*v - 1 + 0*v - 1)*(11*v + 57*v - 6*v) to c*v + l*v**2 + g + y*v**3 and give l.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f**3 - 2*f**2 - f. Suppose 3*z = 1 - 4, -z = -4*x + 49. Suppose 5*p = p + x, 4 = i - 2*p. What is the lowest common multiple of i and s(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270630787?\nAnswer: 7, 38661541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 14*v + 5700. What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/189*(-1)\/((-4)\/(-3)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16184864.\nAnswer: 2, 505777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2851 + 394*i**3 - 397*i**3 - 12346.\nAnswer: -3*i**3 - 15197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*m**2 - 1461*m**2 + 1982*m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 4}. Give prob of picking 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*j = -10, -l - 3*j + 0 = 6. Factor l*h - 30 + 3*h - 2 + 13*h - 2*h**2.\nAnswer: -2*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 62*i + 963. Let m be r(27). Suppose -3*v + 487 = 97. Suppose -4*k + v = 10. What is the greatest common factor of m and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1, 0.0826, 10 in descending order.\nAnswer: 10, 1\/3, 0.0826, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*q - 2*z, -13*z + 104 = -12*q + 30*z - 39*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s**(3\/5)\/s)\/s)\/s)\/(s\/s**(-3)))\/(s*s**(1\/4))**(-23) assuming s is positive.\nAnswer: s**(487\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8573, -8575, -8577, -8579?\n\"Answer: -2*y - 8571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 559*4\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 48, 76, 106, 138, 172?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -366*a + 286*a + 184*a to the form m + g*a and give g.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 1. Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 140 = -130 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1158430 by 89110.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -23090?\nAnswer: 346350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4628 - -4627.7. What is the second smallest value in k, 0.5, -3, 5, 3\/94?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/5)*p)**(-36))**(-2\/7)*p*(p**1*p)\/p*p*p**4*(p**5*p)\/p**1 assuming p is positive.\nAnswer: p**(996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + g**2 + 8*g - 15. List the prime factors of a(-7).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, h: 8, r: 6}. What is prob of sequence ehhr?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = 5*u - 23, -5*u - 4*j + 22 = 0. Suppose 0 = 4*k + 4*v + 4, 3*v - 4 = 4*k + 2*v. What is the lowest common multiple of u and (22 - 1) + 0 + k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 151076.03 rounded to the nearest one hundred?\nAnswer: 151100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 210*z**3 - 3*z + 92. Let r(j) = 2*j. Determine q(r(y)).\nAnswer: 2520*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d + 10*d + 45*d - 161*d - 447*d.\nAnswer: -517*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let w(n) = -1133*n**2 + 2*n. Give -7*m(o) - w(o).\nAnswer: 1147*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + y - 5 = 0, 6*y - 4 = -4*u + 2*y. Let b be 8 - u\/((-4)\/(-8)). Solve 0 = -a + 2*v + b, -a - v = 2*v - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -175, -793, -2087, -4309, -7711, -12545, -19063?\n\"Answer: -42*b**3 - 86*b**2 - 66*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:14 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 7897747 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:16 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 33755872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (520\/180 + -3)\/(7 - (-3455)\/(-495)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.979 - -10. Let a = -1.059 - w. What is a rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-1638)\/(-12))*-7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101304 is divided by 33543?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euunuenennuufuuebfu. What is prob of picking 1 n and 1 b?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -71117*a**2 + 142238*a**2 - 71120*a**2. Let r(u) = -11*u + 4. Calculate q(r(c)).\nAnswer: 121*c**2 - 88*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1267843 and 64949.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 608 = -2186. Let g = -186 - s. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 7*i**2 - i + 8. Let y be x(7). Let d be y\/(-4 + 3 - -2). Let m(c) = 1 + c + d - 2. Let z(r) = -4*r. What is m(z(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3348*o - 47232 = 2036*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) 7 (c) 3\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 527*c**3 + c**2 + 95*c + 97. Give m(-1).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123640, 247141, 370642, 494143, 617644, 741145?\n\"Answer: 123501*f + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -327*x + 43. Let q be t(-7). Suppose -q = -20*p + 88. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - f = -3*b + 35, 4*f + 28 = 2*b. Suppose 0 = -20*j + 16*j + b. Solve 0*i - j*i + 11 = l, l - 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473094 = 181*d - 373081. List the prime factors of d.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 - 41*v**2 + 63*v - 271. Give b(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 8, 33, 78, 149, 252, 393, 578?\n\"Answer: y**3 + y**2 + y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8380177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l + 0*l + l - 1 + 1 + (3 + 2 - 3)*(-673 - 106*l + 673).\nAnswer: -213*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2426339 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 7:09 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 1278 = 273. Suppose -4*m - d = -u, 2*u + 4*m = 96 - 38. Calculate the highest common factor of 35 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010010001 (base 2) in base 14?\nAnswer: db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -31*a**3 + 7*a**2 + 193. Let v(d) = 20*d**3 - 5*d**2 - 129. What is 5*m(s) + 7*v(s)?\nAnswer: -15*s**3 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -634 - -644. Suppose -2*o = 2*o - 16. Let p = z - o. What is the highest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2. Let m(t) = 3*t - 291010 + 290992 + 2*t**2 - 3*t. Give k(m(o)).\nAnswer: 8*o**4 - 144*o**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = m + 4*g, 5*m + 204 = 7*m - 3*g. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/377 - 369\/1508. Is f bigger than 9.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1611421635 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3203440 (base 5) to base 8.\nAnswer: 150564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.5 (b) 31 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(2*sqrt(9)) - (((sqrt(475) + 2 - sqrt(475))**2 + sqrt(475) - sqrt(475)) + sqrt(475))) + (1*2*(sqrt(931) + 0))**2.\nAnswer: -9*sqrt(19)\/2 + 3720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*g + 42, -248 = 4528*g - 4525*g + 5*m - 422 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(256) + sqrt(16)))\/(sqrt(1152)*1 + sqrt(1152))*-2.\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*t + 108*t = 0. What is the derivative of -14 + t*u**2 + 152*u**4 - 189*u**4 - 43 - u**2 wrt u?\nAnswer: -148*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115, 765, 2471, 5761, 11163, 19205?\n\"Answer: 88*p**3 + 34*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*n - 44, -9 = 2*u - 3. Let z(i) = -i**3 + 4*i**2 + 5*i + 2. What is the remainder when z(4) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.30998 (b) 57\/8 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 5*b**2 - b - 2. Suppose n + 4*n = 35. Is w(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21\/105 + (-248)\/(-10) and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -17832507059.22.\nAnswer: 17832507059.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -1, -1528, -20 in descending order.\nAnswer: 5, -1, -2, -20, -1528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48 - -46)\/((-2)\/5). Let u(f) = f**2 - 2*f - 10. Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190)*2)\/sqrt(10) - (sqrt(228)*-2)\/sqrt(12).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 6. Let n be z\/(-9) + 48\/27. Differentiate -n + 0*d**2 + 2*d**2 + 3 with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*v - 68 - 20, 0 = -2*d - 2*v + 60. Let f(z) = -z**2 - 8*z + 5. Let j be f(-6). Let y = j - -25. What is the highest common factor of y and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.167523 - 4.1997. What is u rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, -67 in decreasing order.\nAnswer: 5, 0, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/20 - 3)\/(2\/50).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0*j)\/((j*j**(2\/9)*j*j)\/j)*(j\/j**(3\/2))\/(j*(j*j**(1\/3)*j)\/j) assuming j is positive.\nAnswer: j**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**3 - 15*r**2 + 820*r + 1648. Calculate s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 8*t**2 + 2*t + 5. Let z be o(-4). List the prime factors of z - 2512\/(-20) - (-34)\/85.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 - -78. Let k = -1080 + 1084. Which is the biggest value? (a) -2\/3 (b) 3 (c) f (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 - 4*j**2 + j**2 + 6*j**3 - j**4 - 8*j**3 - 1 as d*j**4 + k*j**3 + u*j + b*j**2 + v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 660389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z**2 + 30*z**2 + 12 + 24*z**2 - 83*z**2 - 23*z.\nAnswer: 5*z**2 - 23*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 26*w - 1063. What is the least common multiple of l(41) and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-15 - -31) + 1 + (-59 - -1 - -2)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, -5, 5 in increasing order.\nAnswer: -5, 3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6786 - -10076?\nAnswer: 16873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877, 1755, 2633, 3511, 4389, 5267?\nAnswer: 6145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1395 and 6911667?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Let u = v - 0. Let q be 2\/u*0 - 460. Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 4*j**2 + 2*j - j**3 + (j + 0 + 0)*(3*j + 0*j - 2*j)*((-3*j + j + j)*(-5 + 2 + 1) + 25*j - 5*j + 6*j).\nAnswer: 27*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/6957 and -21\/25593257?\nAnswer: 230339313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 29*w**2 - 4*w + 4. Let c(b) = -37*b**2 - 5 + 9*b - 17*b**2 - 4 - 4*b**2. Let t(d) = 4*c(d) + 9*p(d). Let o(g) = -2*g. Calculate o(t(z)).\nAnswer: -58*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jno when three letters picked without replacement from {o: 3, z: 2, n: 2, i: 3, b: 3, j: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 + 2*g**2 + g. Let h be w(2). Let q = -10 - h. Suppose q*m + 22 = 2*r + 2*m, -3*r - 2*m = -28. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 3*n - 3. Let u be f(-2). Does 24 divide u\/(14\/54) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -54. Let m be 3 + 7 + 0 + 1. Suppose 2*c + 5 = -3*z, -2*c = -c - 3*z - m. What is the highest common divisor of c and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-14) + 6\/(-4). Let m be (69 - (8 + z)) + 3. Calculate the greatest common divisor of 170 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-17 + 43 + 37)*(-20*v + 5*v + 0*v) to the form a + y*v and give y.\nAnswer: 1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/5, 8, 0, -7\/8, -0.5, -0.1, -4?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20250*y. Let f(i) = i**2 - 4*i - 1. Let p be f(3). Let o be b(p). Suppose 2*n - o = -n. Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 864?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019755693 rounded to 6 decimal places?\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33392.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 3920445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*1*(-224)\/(-48). Let i = c + 17. Suppose -2*a + s + 655 = 0, -i*a + 0*a - s + 990 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32619 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 381802799 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 - b - 1. Suppose 4*x - 12 = -2*x. Let g(s) = -5 + 6*s**3 + 1 - s**x + s**2 - 7*s - 5*s**2. Let o(f) = 5*d(f) - g(f). Calculate o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x - 1. Let b(n) = 750*n - 18. Let p(z) = -42*z + 1. Let h(s) = -b(s) - 18*p(s). Suppose 4*f - 25 = -f. Give f*h(a) + 2*v(a).\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 16. Let n be i(-2). Let c be (-36)\/(-27)*9\/n. Solve -5*f + t = -18, 3*f - 14 = c*t - 4*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1481 - 211. What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38538, -48780, -59022, -69264?\n\"Answer: -10242*p - 28296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-3) + (184 - 5). Suppose -x = -26*x + v. Solve 5*h + 2*w - x = 0, 3*h = -2*h - w + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 18, -13.\nAnswer: -13, 18, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 5143 - 2*w - 5216 to the form b + q*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3865469*p - 2528597 wrt p.\nAnswer: 3865469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2220 = -22*p + 350. Calculate the lowest common multiple of 9 and (-9)\/((17\/p)\/(14\/10)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 5530.\nAnswer: 1\/2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010119 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -213098.123 from 28907.\nAnswer: 242005.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720 divided by -3?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 - 3*q + 2. Suppose -5*v + 32 - 12 = 0. Calculate s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -217059 in -7, 6\/13, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9486 and 53108?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j + 3*d, 4*j - 10 + 5 = -5*d. Which is the closest to -1? (a) j (b) -28 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 432 = -35*p. Let k be 0*1\/2 + 7. Let w = k + p. Calculate the highest common factor of 60 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -487.0471 - -487. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2 + 16. Suppose -6 = -4*k + n. What is the remainder when 45\/20 - 6\/(-8) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219110 by -228.\nAnswer: 109555\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by 772.\nAnswer: 59\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 350, 331, 310, 287, 262?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 397 - 373. What is the tens digit of ((-42)\/9 - 8\/p) + 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 852 and 1441371?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 618044?\nAnswer: 6798484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5\/5 + 8127*m**4\/5 - 7088058*m**3\/5 + 1958386242*m**2\/5 - 3895540803*m\/5 + 388846899 = 0.\nAnswer: 1, 565, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(847)*-6)**2 - (1*sqrt(343)*-6 - (sqrt(343) + 1 + -3)))*6.\nAnswer: 294*sqrt(7) + 2927220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933*y = 940*y - 21. Suppose -y*w - 4*t + 144 = -93, -3 = -t. Let u = -73 + 118. Calculate the highest common divisor of u and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446, 2280, 4114?\nAnswer: 5948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8354 minus -4?\nAnswer: 8358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a - 13. Let r(s) = s + 1. Let h(x) = p(x) + 5*r(x). Let b be h(8). Find the second derivative of 16*f + b*f**3 - f**3 - 12*f wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f - 28 = -28*f. Let a(o) = -18*o + 19. Does 24 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1275 and 4731423?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 3, n: 2, c: 3, u: 1}. Give prob of picking 1 q and 3 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.318231 less than -63?\nAnswer: -85.318231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -280*y**4 + 668*y + 687*y - 1355*y + (0 + 0 + y)*(2*y**3 + y**2 - y**2) - 17*y**4 - 18*y**2 + 18*y**2.\nAnswer: -295*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 24*a + 7. Let b(q) be the third derivative of -23*q**4\/24 - q**3 + 1208*q**2 + 1. Give 5*b(l) + 4*s(l).\nAnswer: -19*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1962186380 - -18.175.\nAnswer: 1962186398.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (505*i**4 - 68*i**4 + 4840*i - 435*i**4)*(-3 + 5 - 3).\nAnswer: -2*i**4 - 4840*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 468, 1049, 1862, 2907, 4184?\n\"Answer: 116*c**2 + c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 116\/36 - 6\/27. Let m = 2 - p. Let t be (m - 2) + 65\/15. What is the nearest to 1 in t, -5\/6, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3290 = -34*h + 27*h. Suppose 28*d - 23*d - h = 0. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/9 + 252*u - 254822\/9 = 0.\nAnswer: -1237, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 + 203. Let r(u) = u + 7. Let y be r(-4). Suppose 0 = y*f + f + 16. Which is the nearest to i? (a) -2\/3 (b) f (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 294. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.98, -5, 0, 2, -1 in decreasing order.\nAnswer: 3, 2.98, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 185*r + 154*r + 85*r.\nAnswer: 424*r + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1)*59\/(-4). Let j = 44 + o. What is the third biggest value in j, 5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56\/9? (a) 653 (b) -0.1 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.24451\nAnswer: -0.74451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234411 (base 5) to base 12.\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let i = -145.116 + 0.116. Let o = i + 141. What is the fourth biggest value in o, -5, 4, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 5*q + 5. Let x be i(6). Let g be (x + 15)*(-1)\/1. What is the units digit of (3\/5)\/(g\/(-140))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -10033?\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 386*a - 766*a + 376*a - 165 in the form l + z*a and give l.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-8)\/f)\/f)**34*(f**(-2\/27)*f)\/(f*f\/f**(1\/2)))**(-5\/13) assuming f is positive.\nAnswer: f**(91955\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 36. Let v be b(-39). Let y(u) be the first derivative of v + 1\/2*u**2 + u. Let r(n) = -8*n - 5. Give r(g) + 6*y(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(2 + 12\/(-33))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-309)\/4)\/(-3*(-7)\/(-28)). Is c > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1911275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 5)*(-28)\/14. Suppose 15*q - 553 = u*q. Let a = 128 - q. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vadvadavavvaaavv. What is prob of sequence vdav?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*u**2 - 48*u**2 + 98*u**2.\nAnswer: 189*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/4)\/((-1)\/34) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:46 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*l**2 - 3 + 202*l**2 + 886*l + 3 - 103*l**2.\nAnswer: 8*l**2 + 886*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-30))\/((-4)\/10). Suppose -m*w + 0*w = 0. Solve w*n + 2 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -5244518?\nAnswer: -5244515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5910289*g**4 + 57*g**2 + 22383*g.\nAnswer: -141846936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = z + 7. Suppose 3*l - w = 34, 5*l + w - 36 = l. Let r = 17 - l. What is the remainder when z is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/66600 and -77\/3848?\nAnswer: 865800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-9)\/((-60)\/(-40)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 20. Let x be p(6). Suppose 4*c - z - 9 = 0, 4*c + 4 = 2*z + 18. Calculate the lowest common multiple of c + (-12)\/(-2) + x and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**2\/7 - 537*k\/7 + 270\/7 = 0. What is k?\nAnswer: -90, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(684)*-2 + (sqrt(684) - (sqrt(684) - (sqrt(684) + -2 - sqrt(684))) - sqrt(684)) + (sqrt(19) - (sqrt(2052)\/sqrt(3) + sqrt(19))))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115\/276*12)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - (-10)\/(-25). Let t = -265.1 - -154.2. Let l = t - -111. Is l > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034343*z - 515003*z - 519341*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 3}. What is prob of picking 2 b and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 6, g: 2, z: 4, b: 1, f: 1}. What is prob of picking 1 g, 1 f, and 1 z?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -2\/3*b**4 + 1\/30*b**6 + 0*b**3 + 15*b**2 + 0 + 0*b + 0*b**5. What is the second derivative of p(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4287010377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 35*u = 20*u - 754 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1\/3, 1\/17, 5, 0.3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6251*o**4 + 4540*o - 22298635.\nAnswer: -25004*o**3 + 4540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146.56 + 146.20863. What is b rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - f = 3, 3*c - 13 = 2*f - 29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -2939\/26. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 312, 466, 620?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43223 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) -0.02 (b) 2.3 (c) 14 (d) -0.4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -125304*y + 4009731. Calculate u(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p - 0*p. Suppose 0 = 4*b - 19 - 1. Let g(x) = x**2 + 7*x - 4*x + 4 - 2 - b. Calculate g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236761120 to the power of 1\/2, to the nearest integer?\nAnswer: 56893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 0*o**2 + 4*o**3 - 3*o + 22*o**4 - 21*o**4 to l*o**2 + i + q*o + s*o**4 + j*o**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123270696.\nAnswer: 2, 140408837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3705856 divided by 1232\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 25*i - 20*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79.1 + 79.100000772. What is o rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/(5\/35)*(-20)\/315?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684130 divided by -34?\nAnswer: -78945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 3\/4*l**3 + 225\/2 - 105\/4*l.\nAnswer: 3*(l - 5)**2*(l + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 6, 0, 2 in decreasing order.\nAnswer: 233, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -17, -51, -119, -233, -405, -647?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 - -1300. Round w to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 130 = -2*y, 8*w = y + 3*w - 74. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904)*-2 + sqrt(2904))\/((sqrt(16)*2)\/sqrt(2)))**2 + -2*(2 + -4 + 1*sqrt(48)).\nAnswer: -8*sqrt(3) + 379\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 39*t**2 - 44*t - 131. Let m be j(-38). Solve 11*p + m - 86 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 11*u - 61. Let a(r) = 3*r. Give a(o(q)).\nAnswer: -6*q**2 - 33*q - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:22 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.6? (a) -3 (b) -0.5 (c) 0.11 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:08 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23*34\/(-391)*(-5)\/((-25)\/(-1))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -o + 3, 9*o - p + 7 = 6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (21 - (16 - -13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 569 + -197.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -20. Let r = i - 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741270891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 2. Let n = -9 + o. Suppose n*g + 2*b = 0, 3*g - 18 = 6*b - 2*b. Solve 6*s - g*s - 31 = 5*p, 2*s - 20 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*h - 26, 20 = 4*q + 4*h - 12. Suppose -5*j - 2 + 12 = 5*i, j + 4 = -q*i. Which is the nearest to 1? (a) j (b) -4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u**4 + u + 0*u**4)*(-4 - 1 + 3)*(3*u - 3 + 3).\nAnswer: 18*u**5 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 78*w - 27. Determine c(25).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112)*1 - sqrt(112)) + sqrt(112))\/sqrt(8)*-4)\/(sqrt(77)\/(-1*sqrt(891))).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62854 and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 66. Let d(y) be the second derivative of -1\/12*y**4 + 1\/2*y**2 + 4*y + 0 + r*y**3. Let d(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u\/((u\/(u*u**(-2\/39))*u)\/u))\/u*u*u**26*u)\/(u**(-2\/31))**(-4) assuming u is positive.\nAnswer: u**(35896\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1293757961 to the nearest integer?\nAnswer: 35969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 483*h + 949 + 605 - 284 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3*2\/12 - (-45)\/198)*-17 and (1 - 92\/34) + 2.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 + d. Suppose 5 = z + 2. Suppose 3*r - 4*a = 19, 5*r + 8 + z = -4*a. Calculate l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 584887669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 + 0*t**2 - t**2 + (3*t - 3*t - t)*(t + 4*t - 3*t))*(23 - 23 - 48*t**2).\nAnswer: 528*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 68*l - 63. List the prime factors of k(10).\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*v - 12, 5*n - 2*v - 16 - 20 = 0. Solve 4*k - n*k = 3*p + 17, 5*p + 3*k + 27 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojvv when four letters picked without replacement from ijwpvopopvjjpow.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6 and 22\/527.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 5*y - 131. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -1169698.\nAnswer: -1169706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333217 by 721.\nAnswer: -333217\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7710 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62111.7504 seconds in weeks?\nAnswer: 0.102698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.725 + -8.125. What is the nearest to 0.9 in -0.5, 37, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 - ((-4 - -9) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 + y**2 - 2*y**2)*(3 + 2*y - 3) + 32*y**3 - 56*y**3 + 69*y**3 + 80*y**3 to r*y**3 + c*y + n*y**2 + k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*p)*(-3*p + 2*p**2 + 3*p) + 2*p**3 - p**3 + p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001464776605 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, c: 6, r: 3, a: 1}. Give prob of sequence cac.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5511268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 14*s - 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*2 + (-7310)\/(-4860). Let t = k + -1\/243. Let i = 1 + 3. What is the closest to t in 3, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 455\/11, -9, -45?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 57, 28592, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -116*s - 140*s + 523*s - 117*s - 120*s. Let t(j) be the second derivative of -5*j**3\/6 + 3*j. What is b(t(p))?\nAnswer: -150*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:29 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 233514*s**2 + 333*s. Let o(v) = 2*v. Calculate o(f(l)).\nAnswer: 467028*l**2 + 666*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u. Let d(l) = 8*l. Let a(k) = -6*d(k) - 7*v(k). Let i be a(5). What is the greatest common divisor of i and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2354 and 3257316898.\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -203, 45, 2, 3, 2\/19, 1\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -314*g + 311*g + 56955. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + 140?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 6*p + 6. Let u be h(-3). Let r be -17 - (u - (-2 + 1)). Let q be (1\/3)\/((-5)\/r). Which is the biggest value? (a) -2 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1084, -1083, -1082, -1081?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 356 + 20 = 0. Calculate the lowest common multiple of b and 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 4*f - 1. Let g be -1*3\/(6\/(-10)). Let j be u(g). Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2630*f + 8657 - 4330 - 4327 to y + j*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*k + 129*k = 4055 + 287 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -897227849 and -2.\nAnswer: 1794455698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 121*d**2 + 2770. Let w(h) = -18*h. Determine w(c(l)).\nAnswer: -4356*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 92*g + 1751. Let o be w(-19). Solve 2\/9*v**5 - 8\/9*v + 2\/9*v**o + 20\/9*v**2 - 8\/9*v**4 - 16\/9 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7591002*d**2*p**3 + 20*d**2*p**2 - 41*d*p**2 + 2*p + 12 wrt p?\nAnswer: 45546012*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express d - d + 76*d**2 + 64*d**2 in the form g*d**2 + a*d + n and give g.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n + 62*n = 55*n + 580 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-86)\/6)*(-3)\/2. Suppose 5*v + 2*j = -40, 0 = -0*v + 3*v - j + 24. Let a = n - v. Round a to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) - (sqrt(1900) - (-3*sqrt(1900))**2)) - (6*sqrt(38)\/sqrt(2) + sqrt(684) + -1 + sqrt(684) + sqrt(19)).\nAnswer: -28*sqrt(19) + 17099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*j = -1857*j - 1183*j - 260064 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 6*c - 2*c**2)*((-c - 2*c + c)*(-3 - 1 + 5) - 4 + c + 4) as f + n*c + a*c**2 + v*c**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116872793.\nAnswer: 163, 717011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 + (-686)\/84)*(-8)\/30. Which is the second smallest value? (a) -0.1 (b) -4 (c) 2 (d) 0.2 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -136220.84 to the nearest 100.\nAnswer: -136200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*((7 - 7 + 6*n)*(4 - 6 - 1) + 6*n - 3*n - 4*n).\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-25))\/((-294)\/980)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-14)*(-4)\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24117 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = -2. Suppose -5*w + 3 = -v*i, 5*w = -2*i + 4*w + 15. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -73?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**2 - 20*s**2 - 9*s**2.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8561, -8570, -8595, -8642, -8717?\n\"Answer: -j**3 - 2*j**2 + 4*j - 8562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:06 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(((f**3\/f)\/f)\/f))*f*f**5\/f*(f**1)**16 assuming f is positive.\nAnswer: f**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 72 = -0*a. Let n = a - 7. Calculate the remainder when n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 2*b + 6. Let k(v) = v**2 + v + 5. Let c(l) = -2*k(l) + 3*t(l). Let h be c(-2). Let j(i) = -i**3 + 4*i**2 - 2*i + 2. Determine j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -23 - 7*a + 1\/2*a**2. Let z be b(11). Sort 1, 0, -4, z in descending order.\nAnswer: z, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 100\/36. Suppose 0 = -g - q*g - 12. Let r = 1021 + -1061. Put r, 1, g in increasing order.\nAnswer: r, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.76 * 0.6\nAnswer: 1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (34\/357)\/(9\/(-21))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (186\/10)\/((-12)\/(-120))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 240565*p - 3127339. Give u(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -2 + 0 + 0. Let c be ((-3)\/(-2))\/((-2)\/12). List the prime factors of 9 + f*6\/c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -38. Let p be k + 4 + 0*3\/18. Suppose -5*l - 8906 - 13069 = 4*d, -p*d - 16525 = -5*l. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017363 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-20)\/5. Suppose -s*m + 8000 = -4*m. Round m to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 6*f**2 - 3*f + 2. Let x(r) = r**3 + 5*r**2 - 3*r + 2. Let q(y) = 5*a(y) - 6*x(y). Determine g so that q(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 8. Suppose 0 = 2*g - g - c. Calculate the remainder when 27 is divided by (21\/(-5))\/(g\/(-90)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -0.007434399?\nAnswer: 0.192565601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -5*r**3\/3 + 10*r**2 - 15*r + 16. Factor c(a).\nAnswer: -5*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 - 47. Calculate the remainder when b is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11166276 (base 8) to base 13.\nAnswer: -6695c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -4625*u**7\/42 - u**6\/15 + 281*u**4\/3 - 2374*u. What is the third derivative of z(s) wrt s?\nAnswer: -277500*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j - 13. Suppose 0 = 3*b + j, -i - 3*b + 2*b = 0. Let z(c) = -3*c**i - 5 + 5. Let m(u) = 2*u. What is m(z(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:29 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/10)\/((-336)\/(-120)). Which is the fourth smallest value? (a) -5 (b) 0.2 (c) -2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 7*x**6\/27 - 344*x**5\/15 + 5204*x**4\/9 - 21836*x**3\/9 + 15505*x**2\/9 + 4900*x\/3 + 9216. What is l in s(l) = 0?\nAnswer: -2\/7, 1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*n**6 - 73*n**2.\nAnswer: 16800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 15 = 5*n, -3*m + 3*n - 17 = -4*m. Let o(p) = 13*p + 12 - p**m - 13*p. Does 6 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u - 5*p = -13, -3*u = -p - 7. What is the second derivative of 8*c - u*c + 4*c + 16*c**2 - 8*c**2 wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 + -247. Suppose m = -0 + 9. What is the smallest common multiple of v and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204) - sqrt(51))\/(2*sqrt(432)).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/3 + 3*f**3\/2 + 5*f**2\/2 - 2*f. Let k be v(-6). Suppose 5*n + 4*g + 3 = 260, 0 = -2*n + g + k. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:30 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4. Let d(c) = 5. Let a(x) = 3*d(x) + 4*j(x). Suppose 3*o = 3*p - 9, 0 = 5*p - 5*o + 2*o - 9. Let h(w) = w + 4 + p - 5. What is -2*a(g) + h(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(1\/5)*y**(-2\/7)\/y**(-5) assuming y is positive.\nAnswer: y**(179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-12))\/((-1)\/(-3)). Factor -11*m + u*m - m**2 + 3*m**2 - 2 + 4.\nAnswer: 2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16164\/389855?\nAnswer: -16164\/389855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39174 is divided by 9735?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8.3 times 3\nAnswer: 24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2229123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1192 and 1954284.\nAnswer: 3908568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257395143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 97040*r + 56731840.\nAnswer: -5*(r - 19976)*(r + 568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280020 divided by 14001.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, -808, -1745, -2642, -3487, -4268, -4973, -5590?\n\"Answer: 2*u**3 + 2*u**2 - 985*u + 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 5*i - i + 7*i**2 + i**3 + 9 - 2. Let l be h(-8). Let z = -10 - l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -270417 greater than or equal to -270433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 12*h - 8. Calculate the remainder when 54 is divided by i(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 - 6 = 25*w + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18544616*m - 4085691 wrt m.\nAnswer: 18544616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 take away -19983.2?\nAnswer: 21077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-244*h - 40*h - 31*h)*(-5*h + 6*h - 2*h) to o + s*h**2 + m*h and give s.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24694 - -49874. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/13 (b) -2 (c) 0.1 (d) -2.51393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127.82 + 127.92. What is the nearest to 1\/4 in 2\/3, -2.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6629 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n**2. Let d(y) = 29*y + 18. Let i(j) = 551*j + 348. Let m(f) = 174*d(f) - 9*i(f). Give m(k(x)).\nAnswer: -1479*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13337*m + 24 = 13345*m. Solve m = 24*t - 93 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2873 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4))**(1\/16) assuming b is positive.\nAnswer: b**(3\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 + (-32)\/(-220).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-11)\/((-15345)\/(-30)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/56 and (-111)\/42 + -10 + 9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -15*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*z - 7, 3*b = 49915*z - 49910*z - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 8 = 0. Solve 0 = 2*h - b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 5)\/(1\/(-1)). Solve -v - w - n = 0, -2*w + 0*w = 3*v + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 207 + 170 = 17*v + 407 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + l**2 - 5*l + 70. Let h be g(-9). Let m = 2805 + h. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45803165?\nAnswer: 5, 71, 129023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 27029 = 5*f, -4*f + 27069 = 2*o - 7*f. What are the prime factors of o?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1769 + 499*p**2 - 1769)*(-14*p**2 + 19*p - 19*p) to z*p + m + u*p**2 + t*p**3 + v*p**4 and give v.\nAnswer: -6986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144253\/21912 - 217\/33. What is the common denominator of b and -1\/498?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -78\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0239961197 rounded to 5 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 23*m**2 - 31*m - 168. Let f be u(-24). Suppose f = -6*r + 11 + 13. Solve 5*v = -r*j - 3, -2*j = -v - 4 + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**8\/26880 - h**7\/1680 - h**6\/240 + 3*h**5\/20 + 11*h**2. Let k(t) be the third derivative of d(t). Factor k(b).\nAnswer: -3*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, -0.06, -8, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 234, 317, 364, 363, 302, 169?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343 + 712. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 735780*g**2 - 13243716*g.\nAnswer: -g*(g - 735762)*(g - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11 (c) 52 (d) 122.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3216 - -0.39982.\nAnswer: 0.07822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*c = 465*c + 20460 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 2*a)*(0*a**4 - a**4 + 3*a**4) + (-3 + 1 + 0)*(2 + a**3 - 2)*(85*a - 40*a**2 - 85*a).\nAnswer: 78*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -2\/9, 0.11, 6\/13, 2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.04 (c) -2.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 152 = 3*f, -3*t + 3*f = 30 - 258. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 58*d**3 + 8*d**2 - 8*d + 9. Let j(f) = 58*f**3 + 7*f**2 - 7*f + 8. Calculate 7*j(g) - 6*r(g).\nAnswer: 58*g**3 + g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1286862*b**5*p + 2*b**4*p - 2*b**2*p - b**2 + b*p + b - 6514 wrt b?\nAnswer: -77211720*b**2*p + 48*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-1 - 4*-1). Let h(x) be the first derivative of x**2 + 5*x + 10. Is h(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3677 - -57652. List the prime factors of a.\nAnswer: 3, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 814646351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1831*h + 85660 - 20936 = -43305 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 3*h**3 + 4*h**2 + 6 + 0 - 3*h. Let d be u(-5). Let a = 9 + d. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(325) + 3)**2)*-3 - (sqrt(117)\/(sqrt(9)*2) - 1*sqrt(1053) - sqrt(156)\/(sqrt(36)\/sqrt(3)*-3)).\nAnswer: -993 - 311*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/18)\/(-4) + 4602\/54. What is the derivative of q*z - 31*z - 34*z - 62 wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*j + 683*j - 224*j - 224*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92071.13 tonnes to grams.\nAnswer: 92071130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1216 + -935. What are the prime factors of w?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/12)\/(30\/(-40)). Let l(x) = 598749*x**3 - x**2 - 7*x - 18. Let j be l(w). What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23761032.\nAnswer: 2, 3, 990043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**5\/120 - p**4\/6 + p**3\/3 - 3. Let j(l) be the third derivative of f(l). Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*b - 7*b - 5, -3*b - 12 = 0. Let x = r + 53. Find the common denominator of 125\/6 and 6\/10 - x\/80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39703 and -0.2.\nAnswer: -7940.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 8*v**2 + v - 6. Let h be i(8). Suppose 0 = h*a + 3 - 31. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-2))\/(1\/2). Let h be 1522\/8 - ((-9)\/(-4) - 2). Suppose g = -5*j + 185, -4*j - r*g + h = 42. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30486337 is divided by 1739.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + d + d)*(d + d**2 - d) - 507*d**2 + 507*d**2 + 90*d**3 + (-d - d + 3*d)*(d**2 + 0 + 0) to o*d**2 + q*d**3 + t*d + u and give q.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98954 rounded to two dps?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13125263, 26250517, 39375771, 52501025?\n\"Answer: 13125254*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 23*f**2 + 29*f - 6. What is the units digit of k(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/38 and -44\/9?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -33, -0.4, 32 in increasing order.\nAnswer: -33, -3, -0.4, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*b + b + 1832, 3*b = 3*h - 1104. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -86*x**2 - 44*x - 26. Let c(a) = 12*a. Determine d(c(y)).\nAnswer: -12384*y**2 - 528*y - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 divided by -1?\nAnswer: -1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1377) + -4*(1*sqrt(1377) - sqrt(1377)) + sqrt(1377) + sqrt(1377) + (sqrt(1377) + (sqrt(1377) + -1)**2)*4).\nAnswer: -9*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496614767.\nAnswer: 11, 45146797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26700 and 49417428.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from qgqggqqqgqqqqqqqqgg?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5899241*d. Let i(m) = 2*m**2. What is h(i(k))?\nAnswer: -11798482*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6*f + 3*f. Let q(b) be the second derivative of -b**5\/20 - b**4 - b**3\/6 - 7*b**2 + 60*b + 1. Calculate q(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7115, -14462, -21823, -29204, -36611?\n\"Answer: -l**3 - l**2 - 7337*l + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 19. Which is the closest to 0? (a) -3\/8 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -971 + 971. What is the nearest to t in -3\/4, -5, 7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.49 - 1.16. Let n = f + -0.26. Which is greater: n or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*u + 3, -5*p = -58*u + 56*u + 23. Sort -0.3, -0.03, p, -0.5 in decreasing order.\nAnswer: -0.03, -0.3, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 1\/1)*(-288)\/(-1152). Let p(y) be the second derivative of 0*y**2 - u*y**3 + 0 + 7*y - 1\/3*y**4. Find the second derivative of p(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 10. Let g be d(12). Determine v, given that -6*v**3 + 3*v**4 + 3*v**g - 6 + 6 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 2*s + 3*s**2 + s - 1 + s**3. Let h(f) = 9*f**3 + 4*f**2 - 4*f - 4. Give h(n) - 4*i(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6968 is divided by 407.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:25 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7773 + -0.2227. Let c be ((-4)\/78)\/(2\/6). What is the nearest to 10 in -3, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*j - 50 = -j, 0 = 5*j. Calculate the greatest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -14. Solve 3*h - 4*h - n = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.734 + 5.73403607. Round d to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15518550 divided by -3103710\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + 0*x**2 + 3*x**2 + (0*x + 0*x - x)*(2 + x - 2) + 2 - 2 + 2*x**2)*(x + 2*x - x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1921 = 7*g - 1900 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-70.886.\nAnswer: -0.70886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:49 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 51*y**2 + 27*y - 27. What is d(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0 + 0*d + 0*d**4 + 0*d**3 + 3\/160*d**6 - 1\/40*d**5 - 1\/280*d**7 + 19*d**2. Factor j(a).\nAnswer: -3*a**2*(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3131140 (base 6) to base 4.\nAnswer: -211011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-2)*32\/(-32). What is the second biggest value in s, -12, 2\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, u: 3, g: 1}. Give prob of picking 1 h and 2 u.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.1 + 1.9. Let d = 169\/246 + -5\/246. Which is the nearest to d? (a) -0.5 (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 7633?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -85\/7, -24, -0.1, 0.32 in descending order.\nAnswer: 0.32, -0.1, -85\/7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 + g**3\/2 + 23*g**2\/2 - 37*g. Let j be v(6). Suppose -203 = j*c - 1088. What are the prime factors of c?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (6 - (-85)\/(-10)). Let f = -11\/6 - -1\/3. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 964 - 965.7. Which is the closest to -0.3? (a) h (b) 0.05 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 266212*t\/5 - 83491972\/5.\nAnswer: -(t - 265898)*(t - 314)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139234, 139232, 139230, 139228, 139226?\n\"Answer: -2*j + 139236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 31 = -g - 4, 2*v = -5*g + 220. Suppose -3*i = 4*c - g - 81, 0 = -5*i - 15. Calculate the remainder when 61 is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1105 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7616 and 1207136.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 2640?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifffikffi. Give prob of picking 1 f and 2 i.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweewnoen. Give prob of picking 1 o and 2 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -1a59?\nAnswer: -1a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 517, 935, 1295, 1567, 1721, 1727, 1555?\n\"Answer: -5*q**3 + q**2 + 450*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.62 - 31.62. Sort b, -30, -0.2, 0.4 in descending order.\nAnswer: 0.4, -0.2, b, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**9)))**(-12\/5)*k\/k**3*k*k**5 assuming k is positive.\nAnswer: k**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0 - 8. Suppose q = c*x - 3 - 5, -x = 4*q - 4. Let w = 29 + -29. Solve w = 3*r - q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 = 156*d + 2*d - 245 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1\/((-2)\/59) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 9*g + 14*g + 10*g.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2000 + 4001\/2. Put 0.3, p, 50, -4\/7, -1 in descending order.\nAnswer: 50, p, 0.3, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 3. Let v be y(-2). Suppose v*k = -0*k + 9. Suppose 0 = 4*f - 5*w + k*w - 1172, -1172 = -4*f + 4*w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -2509559937.\nAnswer: -2509559936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 8. Let f = t - -4.5. Let o = 0.03 + 0.37. Which is the biggest value? (a) o (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-15 + 7 - -7 - (1 + (80 - 8)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/70)\/((-3)\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2605104432?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x + 5*x + 8*x + (-x + 0*x + 2*x)*(3 - 2 + 0) - 2*x + 4*x - x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:42 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 17*z**6\/24 - 11*z**3\/6 - 167*z**2\/2 + 61*z. Let k(w) be the first derivative of p(w). What is the derivative of k(n) wrt n?\nAnswer: 255*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163 by 5.\nAnswer: -163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.38 * -0.2.\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 - 2062*d**2\/11.\nAnswer: 2*d**2*(d - 1031)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + 1)*2 + ((sqrt(125) + 1*sqrt(125))*-2)**2.\nAnswer: -4*sqrt(5) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*x + 8697 - 8865, -122 = -3*o + 2*x. Calculate the remainder when o is divided by (-2)\/(-7) - (-234)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*l = 1208*l + 418 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -26*f + 39 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgng when four letters picked without replacement from {h: 1, p: 3, n: 3, s: 2, i: 1, g: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x**2 + 8*x**2 + 17*x**2.\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*n**2 - 3 - 445*n**2 + 3 - 716*n**2 + 1856*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*x**3 + 7*x**2 + 1041*x wrt x.\nAnswer: -954*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21622 - -58332. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992.5997 kilograms to milligrams.\nAnswer: 992599700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 52. Sort 3, o, -5, 2 in decreasing order.\nAnswer: 3, 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {r: 1, v: 6, d: 2, g: 4, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496914 and 15058?\nAnswer: 496914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147312825?\nAnswer: 3, 5, 11, 178561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 7*h - 2. Let t(k) = k**2 - 8*k + 3. Let p(r) = 4*m(r) + 3*t(r). Let f be p(5). Which is the biggest value? (a) f (b) 0.3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(1\/(-2)))\/(54\/(-81)). Sort 2, d, -5, 4 in ascending order.\nAnswer: -5, d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(208) + 1*sqrt(208))**2 + -1 + 5.\nAnswer: -80*sqrt(13) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/2 + 156*j - 12168 = 0.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 20*z - 20 = 14*z, 0 = 3*y - z - 223 + 215 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 - 5*x**2 - 3*x**2. Let h(o) = 2*o**2 - o**2 + 5*o - 5*o. Determine h(n(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*b + b - 4, -5*a = -4*b - 4. Let g = -934 - -937. What is the fourth smallest value in b, g, -1\/4, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19646544 is divided by 37637.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 102 = 5*l, 0 = -4*h - l + 84 + 6. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*j*p*q**3 + j*p*q - 3*j*q**3 - 82*p + 3*q**3 - q wrt j?\nAnswer: 73*p*q**3 + p*q - 3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 greater than or equal to -4129\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 16*y - 6. Let j(b) = 3*b**3 + 16*b - 5. Let u be 6*17\/119*(-63)\/(-9). Determine u*j(f) - 5*q(f).\nAnswer: 3*f**3 + 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 + -399. Let o = 405 + g. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4 and 83\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2.3, 92?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212607 by 2705.\nAnswer: 212607\/2705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 4 (c) -505 (d) 0.01 (e) 7.1 (f) -1\/6 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/3 - 40*q + 600 = 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 1. Suppose -5*k - 4 = 11, -p + 13 = -4*k. Let j(r) = 0*r**2 - 3*r**2 + p + 0. Let q(h) = -j(h) - 2*z(h). Differentiate q(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, p: 4, w: 2, n: 2}. Give prob of picking 2 n and 1 w.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 2853*p - 60757. Calculate i(21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.029, -0.2, -1.7, 5?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64523727 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/412370 and 19\/133300.\nAnswer: 127834700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44025657.\nAnswer: 3, 13, 23, 49081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*w + 40*w + 11 + 5 wrt w.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9*4\/(-12))\/(-1). Is (-1 + (-5)\/u)\/((-4)\/(-30390)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1064*j = -1063*j - 15. What is the remainder when 1364 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -393*k + 187*k - 2*k**2 - 60 + 68 in the form q*k + l*k**2 + p and give q.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 309*s**3 + 4*s**2 - 2*s - 13. What is the hundreds digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3 + 5. Let r(u) = -i - 2 + 13 - 3*u - 7. Suppose -4*o - 2 = t, -10 = 5*t + 3*o - 0*o. Calculate r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 9. What is the nearest to 1\/4 in 4\/7, b, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unuu when four letters picked without replacement from nnnuunnnnnuuuuun?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + -7 + 2 + -1 - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 12*w - 139 + 379, 8*x + 2*w = -40 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*i + 23*i**2 - 20*i)*(-11*i + 21*i - 11*i - 7) in the form j*i + u + z*i**2 + y*i**3 and give z.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 265408?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 2}. Give prob of sequence mimi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 177.8805 micrograms?\nAnswer: 0.0000000001778805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(3\/2)))**(-28)*(w**(-1\/2))**33 assuming w is positive.\nAnswer: w**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 + (-14)\/18. Let j be 16 - (2 + 1\/f). Suppose u + 2*u = j. Solve 16 = -2*k - u*t, 0 = -3*k + 2*t - t - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24434?\nAnswer: 2, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 28 = -4*p, -2*m + 3 - 1 = -3*p. What is the third derivative of 5*h**2 - 6*h**6 + 0*h**2 - 7*h**p wrt h?\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.133 + 0.367. Which is the nearest to 1\/4? (a) z (b) -0.1 (c) -73.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*o - 2*o. Suppose 2*k = u - 0*k - 8, -5*u + 3*k = -o. Solve -z + u*n = 4*z + 3, -2 = -z + 3*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17069*a + 17086*a - 408 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7451\/100 + 299\/4. Let h = p - 116\/275. Which is the second smallest value? (a) h (b) -1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*x - 6*x**2 + 3*x**2 + 6*x as b*x**2 + u*x + i and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppapipnipiyaiwpwap. What is prob of sequence pwn?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n + n + 2*q, q + 5 = 0. Let a be (-3)\/(-2)*(-4)\/n. Solve 11 + 1 = -a*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 h when four letters picked without replacement from qkqqkkkxkqkuquhqkhqk.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30*j**3 - 25*j**2 - 25*j + 25. Let v = 59 + -56. Suppose -46*r + 5 = -47*r, 60 = -v*q + 3*r. Let h(o) = o**3 + o**2 + o - 1. Give q*h(k) - x(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*l - 45*l**2 + 15*l**2 + 207*l + l**2 + 0*l**2 + l**2 + (9*l - 10*l + 14*l)*(l - 4*l - 5*l) in the form f*l + j*l**2 + n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 18 = -14. Let q = b - -49. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*m = -416*m + 75 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9326.9459 to the nearest 10.\nAnswer: -9330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191443.52 rounded to the nearest one hundred?\nAnswer: 1191400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(12)\/sqrt(2))\/sqrt(2))**2 + -5 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 - -245. Let h = 103.95 - k. Round h to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -21872*i + 174980. Give t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v + 37*v + 25*v + 34*v - 113*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89205*y**3 + 268*y + 80671862.\nAnswer: -267615*y**2 + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 206\/14 + (87\/261)\/(14\/12). Solve 0 = 2*a - i + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 109*j**2 - 143*j + 2075. Is 20 a factor of y(111)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32433 + -2201?\nAnswer: -40134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -2*n**3 + 3*n**2 + 0*n + 1\/6*n**4 + 0. What are the prime factors of b(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*i + 2036*i - 10082*i - 248362 + 100276 = 0 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -0.02, -0.2.\nAnswer: -0.2, -0.02, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45 from 36.776982.\nAnswer: 81.776982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.83.\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.2935 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*39278\nAnswer: -15711.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2))**(-1\/8))**(-2\/9)\/(q**(-1\/4)*q*q\/(q**(1\/6)\/q))**(-47) assuming q is positive.\nAnswer: q**(243\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 779817791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*l**3 + 238*l**3 - 728*l**3 - 49*l + 237*l**3.\nAnswer: 2*l**3 - 49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.5, 514, 4, 27\/4, 7, -5?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(7)*-3 - sqrt(7) - sqrt(7))*-5)**2 - (sqrt(1372) + -4*sqrt(1372) + sqrt(1372))**2) + 4.\nAnswer: 64516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -76. What is the greatest common factor of x and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101101000000011001 (base 2) in base 14?\nAnswer: -2acbc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20435681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -8. Suppose 97*g + 339 = 210*g. Let z(t) = -4*t**3 + t**2 + t - 1. Let x be z(1). Put f, g, x in descending order.\nAnswer: f, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 - 3*b - 9. Let u(q) = 0*q**2 + 0*q**2 + 8 - 6*q**3 + 2*q + 9*q**3. Let a(f) = -2*n(f) - 3*u(f). Find the first derivative of a(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 7*m - 13. Let v be i(-6). Let r = v + 7. Suppose -3*b - 54 = f - 2*f, 3*f + 4*b - 97 = r. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 7*y**3\/6 + 491027*y**2\/6 + 4307297044*y\/3 + 63325654334\/3 = 0.\nAnswer: -35066, -103\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**3 + 74*c**2 - 7*c + 9. Let z(w) = -5*w**3 + 37*w**2 - 3*w + 4. Give -3*t(q) + 7*z(q).\nAnswer: -11*q**3 + 37*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2 + sqrt(19))*2*-5*-4.\nAnswer: 80 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 2*t**2 - 4*t + 3. Let p be i(3). Suppose 3*n - n = 80. Let k = -38 + n. Solve 4*s + k*c - 1 - 5 = p, 2*s - 8 = 4*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -0.4, 0.0311, 15, -5, 0.2?\nAnswer: 0.0311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 16) to base 15\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70863?\nAnswer: 3, 13, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -738*h**3*s**3 - 115*h**2*s**3 - 7*h*s + 17552*h + 2*s**3 wrt h?\nAnswer: -4428*h*s**3 - 230*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65e + -23cda?\nAnswer: -24338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-1)\/1*1. Suppose 4*m = -w*z - 12, m + 9 - 31 = 5*z. Find the first derivative of 4*f**3 - 6 - m*f**3 + 9 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + l = 5, -24 = 2*w + 4*l - 8*l + 28 - 32 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/2 + 21*b**4\/2 + 27*b**3 = 0.\nAnswer: -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*a = 1255*a - 2580. Let c = 8 + -8.06. What is the nearest to c in -0.13, 2\/7, a?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59773963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -56?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - z**2 + (-z - z + 3*z)*(-5*z + 2*z + 2*z) + 4*z**2 + 0*z**2 - 3*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -139757570841 + 19\nAnswer: -139757570822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9707 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from ddppddpddp.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 0, 2390, 4, -25 in decreasing order.\nAnswer: 2390, 117, 4, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 2*r**2 + 5*r + 16. Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1590 + 24*k**4 - 1591 + 10*k**4 + 22*k to p*k**3 + y*k**4 + x + w*k + i*k**2 and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + 39. Suppose 4*i - o - 91 = 0. What is the tens digit of (i\/(-3))\/((-22)\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 6*q - 3. Let l = 15 - 26. Suppose 2*o = -6 - 2. Let r(h) = h**2 - 2*h + 1. Let i(v) = l*r(v) + o*k(v). What is i(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2815, 3047, 3279, 3511, 3743?\n\"Answer: 232*i + 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -2. Put j, 0, 5 in descending order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -0.249?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -19 (c) 16 (d) 0 (e) 7 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.93*-52.\nAnswer: 100.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 13 = -2*w + n, -5*w = 4*n - 78. Let s(l) = 5*l + 3. What is the remainder when ((-384)\/15)\/(w\/(-35)) is divided by s(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0*y**4 + 0 - y + 0*y**2 + 3\/20*y**5 + 0*y**3. Factor m(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - 1997372382.4?\nAnswer: -1997372340.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -13312411204?\nAnswer: 13312411203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.254 and -4?\nAnswer: 1.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 596 = -2*l + 4*x, -x = -3*l + 1801. Let u be (-654)\/l - (-1 - 0). Let g = 3699\/1100 + u. Calculate the common denominator of g and 65\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 1. Let b(l) = -l**2 - 2*l + 3. Let g be b(-4). Let d(m) = -5*m - 7. Let k(p) = 4*p + 6. Let j(h) = g*d(h) - 6*k(h). Calculate 4*j(c) - 3*q(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n. Let c(u) = -4*u. Let p(y) = 5*b(y) + 4*c(y). Let a be p(-2). Let m = 4 - 3.9. What is the third smallest value in a, m, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 1332*f**2 + 293046*f - 21587716. Let r(j) = 6*j**3 - 3995*j**2 + 879138*j - 64763149. Let h(z) = 17*a(z) - 6*r(z). Factor h(w).\nAnswer: -2*(w - 221)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*l - k, 5*l = 3*l - 4*k + 24. Let n be 1\/(((-2)\/l)\/(-1)). Factor -g**2 + 2*g**3 + 0*g**n + 0*g**2 - g**3.\nAnswer: g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 94 + 47 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2 - c - 17. Let s(m) = -5*m**2 - m - 8. Let z(r) = 4*n(r) - 9*s(r). Let z(b) = 0. Calculate b.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-88)*(-6)\/9*6*-50\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -210698\/9 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493854 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -4 (b) -3\/23 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33395080*5.\nAnswer: -166975400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/60 + 7*i**4\/24 + 3*i**3\/2 + 7*i**2. Let h be l(-5). What is the smallest value in h, -4\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/637 and 2996\/(-3087) - (-2)\/(-18).\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -30. Suppose -h - 25 = 5*u, 3*h - h + 3*u + 22 = j. Let s be h + 3 - (-12)\/3. Solve 3 + 1 = -s*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2262)*(-26)\/4008. Let z = 1\/167 + k. Let c = -57679\/11 - -5248. Calculate the common denominator of c and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h**5 + 5*h**5 - 2*h**4 + 2*h**5 + (-3 + 6*h**2 + 3)*(-21*h**3 - 7*h**3 - 24*h**3).\nAnswer: -317*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-26)\/2)*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -70 + 60*f - 4\/3*f**3 - 28*f**2. Factor d(r).\nAnswer: -4*(r - 1)*(r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 + 3*j - 3. Let o be w(1). Let z(y) = 6*y - 6. Let p(n) = -7*n + 7. Let s(a) = 5*p(a) + 6*z(a). Let u be s(o). Solve q - u = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 2\/5 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/525)\/((-2)\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 13*o + 6 + (o - 3*o + o)*(0 - 2 + 0) + 2234 + 59*o - 2234)*(4*o + 1 - 4*o + o**3).\nAnswer: 48*o**4 + 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - h = 41 - 1, 0 = 4*u + h - 32 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 30 - 30. Let x(f) = 17*f**2. Determine s(x(k)).\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-12 - (4 - 19))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (-8 - (-18 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635264.\nAnswer: 2, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3325, 3337, 3339, 3331?\n\"Answer: -5*p**2 + 27*p + 3303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*m = m - 22, 0 = 4*w + 3*m. Suppose 0 = w*x - 5*o + 3*o - 23, -2*x + 2*o + 18 = 0. Suppose 23 = x*f - 17. Solve -18 = -2*k - f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983283253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*2)\/(-5*sqrt(25)\/sqrt(5)).\nAnswer: -16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -48 - -100 - 45.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0029744s?\nAnswer: 2.9744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/70 + o**4\/2 - 24*o**3\/7 - 432*o**2\/7 + 888*o. Factor l(f).\nAnswer: -2*(f - 12)**2*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304902289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-14))\/(2\/136). Let x = 37 + r. Suppose -3*f - 2*y + 89 + 81 = 0, -x*f + 2*y + 166 = 0. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, 1701, -1\/2, -52, -0.4 in descending order.\nAnswer: 1701, 4, 1, 0, -0.4, -1\/2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120281355 - -837210.\nAnswer: 121118565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r - 33. Let u be f(9). Let n(l) = l. Let w(h) = -6*h. What is u*n(j) + 3*w(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l + 2. Let q(u) be the third derivative of 1\/24*u**4 + 0 + 1\/40*u**6 + u**2 - 1\/60*u**5 + 0*u + 0*u**3. Let x be q(1). Determine m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68326279*v**4 + 47640786*v**2?\nAnswer: 1639830696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2241.419 to the nearest ten.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197 + 195.06. Let s = 1 + -1.06. Let p = s + m. What is the nearest to 1 in p, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1 - 5 + 3*t + 0*t. Let p be d(13). What is the highest common factor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svmmm. What is prob of picking 1 m and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*k**2*t*w**2 + 33*k**2*w - k**2 - 13*t**3*w**2 - 3*t**3*w - 3*t**2 - 12*t*w wrt w.\nAnswer: -262*k**2*t - 26*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 300443*k**2 + 87*k + 89. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1.094555, 5\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 11*g - 34 - 11*g + 3*g.\nAnswer: 2*g - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 3. Let h(j) = 2*j + 2. Let v(i) be the second derivative of i**4\/12 + i**3 - 3*i**2 - 29*i. Let u be v(-6). What is u*p(q) + 10*h(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0525 + -99.\nAnswer: -99.0525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 55.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.108046 rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -6*(-1 - (-20)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5 + 668*q**4 - 708*q**3 - 6092*q**2 - 7408*q - 2688 = 0?\nAnswer: -168, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyyk when four letters picked without replacement from yxkqqpqxqy?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 1937087517.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73.94 - 73.79609. Round q to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Calculate the remainder when 5 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*o + 23, 0*x - 2*o - 109 = -3*x. Suppose -x = -5*q + 77. What is the least common multiple of q and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1162 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.332 - 0.074. Let s = 0.558 - n. Which is the nearest to 1\/8? (a) s (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 - 3297285*a**4 - 905995823706*a**3 + 6342082874058*a**2 - 13590253896291*a + 8154170143227 = 0 for a.\nAnswer: -549551, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80792014 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c\/(c*c\/(c*c\/c**(-8))*c))*c\/(c*c\/(c**(4\/5)\/c))*(c\/c**(-1\/2))\/((c\/c**2)\/c) assuming c is positive.\nAnswer: c**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/2)\/(5\/(-10)). Let n = q + 14. What is the remainder when n is divided by 3*(-22)\/(-12) - (-6)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:25 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392472607.\nAnswer: 19, 47, 283, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 19 - 49 + 18*u**2 + 20 + 115*u**2 as j*u**2 + a*u + l and give j.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631441 is divided by 315656.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, f: 5, a: 4, v: 1, t: 2, m: 4}. Give prob of picking 1 m and 1 t.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4115, 8209, 12317, 16439, 20575?\nAnswer: 24725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + 125 + (-74 - -61).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 - -1.3. Let t = -4 - l. Let v = 1.4 - -0.6. Which is the nearest to t? (a) 0.3 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, -6\/11, 3\/5, -916 in increasing order.\nAnswer: -916, -6\/11, 0.2, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.94829139 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29675, -29845, -30209, -30833, -31783, -33125, -34925, -37249?\n\"Answer: -11*o**3 - 31*o**2 - 29633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020369 divided by -1020369.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -784732000 rounded to the nearest 1000000?\nAnswer: -785000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 3, -2, -1113, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -92488 * -34\nAnswer: 3144592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 21*x**2 + 12*x**2 - 35*x**2. Let v(n) be the first derivative of n**3 + 2. Give v(r(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 2*t - 16 = 9*z, z - 6 = -t. Let q(s) = s + 2. Let h be q(2). What is the remainder when 1 + -2 + 1 + h is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 2. Let o(v) = 4*v + 3. Suppose 2*p + 1 = -3*i - 0*p, 0 = p - 4. Calculate i*d(r) + 2*o(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434\/6 - (-2)\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.1 times -19576\nAnswer: 138989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/3 + 2*u**2 - 7*u + 1. Let p be x(-6). Solve -p*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 857*q**2 - 2 - 2663*q**2 + 1064*q**2 + 781*q**2.\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 2 = 14*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*i*k + 72*i + 21125*k - 3 wrt i?\nAnswer: -64*k + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -327?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 * 42\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.087 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 68688450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/3 (b) 2\/7 (c) -2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 159*q**2 - 3156*q - 6310. Give d(-2).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/5, 0.4, 1039, 0?\nAnswer: 1039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e35367 - 9?\nAnswer: e3535d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 27. Sort 4, 1, 2, a in ascending order.\nAnswer: a, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -1\/16*f**4 - 3\/8*f**2 + 5\/12*f**3 - 9\/4*f + 1. Factor w(z).\nAnswer: -(z - 3)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -1156?\nAnswer: -30\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnyyyhnyynynyy. Give prob of sequence yhn.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 32 = 11*m. Solve n = -n + m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = -2*z. What is the smallest common multiple of (0 + 0)\/z + 4 and (-2)\/(-12)*-2*-30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 4*y - 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let y(w) = 0 - 3 + 0 + 4. Give -2*f(m) - y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 906367 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w**3 + w**2 - 3*w - 2. Let v = -4248 + 4254. Let y(n) = 8*n**3 - n**2 + 2*n + 1. Give v*y(u) + 5*f(u).\nAnswer: 3*u**3 - u**2 - 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*b - 9 + 3, -5*d = -b + 30. Let i = d + 8. Solve -5*j - 3 - i = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 6. Let l be u(10). Suppose m + 2*m - 48 = l*o, 4*m - 4*o = 68. What is the highest common factor of 50 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b**2. Let u(n) = -30*n**2 + 16*n + 272. Let t(d) = 6*d**2 - 3*d - 51. Let x(f) = -16*t(f) - 3*u(f). Calculate m(x(a)).\nAnswer: 576*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*o**3 - 83*o**3 + 248*o**3 - 78*o**3 - 9*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -65487.03 to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/154425 and -79\/158748900?\nAnswer: 158748900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3137314 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*j - 13*j + 104. Is 0\/j - (-329 + -3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11309 is divided by 608?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Let g be r\/14 - (-23427)\/21. Let t = g + -519. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7505.7303 + -7506. Round w to three dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + g - 21 = 0, -7*k - 3*g = -0*k - 7*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 117?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2158 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:54 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 13 + -6 - (5 - -36).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8939 at least -8940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2*3\/12). Let t(g) = 2*g + 2*g - x*g. Let o(h) = -2*h. Give o(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -207490*-2.82\nAnswer: 585121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12834606 and 4.\nAnswer: -51338424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*k**2 - 440*k**2 + 176*k**2.\nAnswer: -117*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + 2 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.471628 rounded to two dps?\nAnswer: -4.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**1\/n)*n))\/n**(3\/16))\/(n\/n**(3\/7)*n)**(1\/23) assuming n is positive.\nAnswer: n**(-659\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 6*t**2 + 49*t - 21. Let u be i(4). Calculate the highest common factor of u and 10740.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 22 + 13. Let t(a) = -7*a**2 - 27*a + 29. Let j(o) = 3*o**2 + 13*o - 14. Let k(q) = -9*j(q) - 4*t(q). Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 0. Suppose -3*j + 0*j = p. Let j + 1\/4*k**2 + 0*k = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*s - 2206 = 4*s, -4*s = 5*q - 3640. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 81*x + 463. Let k be r(-72). Which is smaller: k or -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -18. Let v be (b\/6)\/(-1)*2. Is -3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1311512 and -29\/18852985?\nAnswer: 150823880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(6 - 12 + 5 + 34330*c + 28081*c + 1).\nAnswer: -124822*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/((-80)\/(-120)). Which is the nearest to j? (a) -1\/4 (b) 2\/19 (c) -1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:56 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from {f: 1, g: 2, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 - -12) - 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(64)\/(sqrt(56)\/sqrt(7))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11564356 (base 8) to base 10.\nAnswer: 2549998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.3426+-20\nAnswer: -25.3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2333 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from zzqlqiziuz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 213?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.2, -2183230?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24003020 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 - 5*v + 3. Let f be y(-5). Let g(u) = u**2 - 9*u - 17. Let k be g(10). Is k*(-2 + f + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6670?\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -5\/2 (c) 0 (d) -60429 (e) 0.1 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -93\/182?\nAnswer: -93\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 18 = -4*z, 139*t - 136*t + 5*z - 17 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.1 (b) -54 (c) 0.1045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10943, 10944, 10945?\nAnswer: 10946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o**(-1\/6))*o*o*o)\/o*o)\/o)**(16\/7)*o**(-5\/9)\/o**(1\/6) assuming o is positive.\nAnswer: o**(821\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221012 - 101?\nAnswer: -2221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 21*y - 72. What is h(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2052 + 2026. Which is the fourth smallest value? (a) z (b) -3\/5 (c) 5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -102. What is the second smallest value in 2\/5, w, 0.066?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = c - 3*v + 14, -17 = 3*c - 4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 5*i - 91, -4*i - 9*z = -1266 + 875 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 9\/5, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 66 = 6*n. Suppose 2*z = 3*v + n, -5*z + 45 = -5*v - 0*z. Let r = -42.908 + 42.908. What is the third smallest value in v, r, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003197 to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.02242 days to seconds.\nAnswer: 1557137.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 - (7 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w**3 + 3 - 13*w**3 - 3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1840390063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 20 = -2*o, -3*h = -10*o + 5*o - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1.5, 61, -0.1, 0 in descending order.\nAnswer: 61, 1.5, 3\/4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-855))\/(49\/(5733\/78))?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than or equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250816034.\nAnswer: 2, 7, 53, 338027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -36*o**3 + 7*o**2 + 7*o. Let i(j) = -652*j**3 + 1285*j**3 + 4*j**2 + 4*j - 651*j**3. Determine 7*i(p) - 4*y(p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 12*t**2 + 11*t - 9. What is c(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497 + 497. What is the smallest value in 0.1, x, -17, 4\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8 = -4*b, 26*k + 4*b = 25*k + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1389)\/(-15) - (-8 + 228\/30). Suppose -2*n = -q - 23. What is the remainder when n is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7543481*k**3 + 1439613*k wrt k?\nAnswer: -45260886*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -7*x. Suppose -5*s = -x*s. Suppose -j + 21 = 4*d, -2*d - 6 = -s*d. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4))**(-2\/11))**(-1\/5) assuming d is positive.\nAnswer: d**(-8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 484 = -n. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 97. Let t = -6 + 8. Suppose -6 = -t*k - 0. Solve k*m + b*r = 20, -m + 2*r = 2 - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 2*j - 1. Let l be w(-1). Suppose g - t = t - 6, -t + 4 = l. Suppose -5*m - 66 = -g*k - m, -k + 17 = 2*m. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309 and 328982.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275817.2 + 222958209.\nAnswer: 222682391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/(-5)*10\/4. Which is smaller: x or -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/((-5304)\/1144) + (121 - 2)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = -d + 25, 4*d + r = 165. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71364 + -50889. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 5. Suppose 6*b - 13 = 17. Sort 11, b, r in descending order.\nAnswer: 11, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/15*1\/((-4)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 18348564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 3\/11, -0.55, 2, -0.5 in increasing order.\nAnswer: -0.55, -0.5, 3\/11, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(9\/(-18))*6\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3164*u**2. Let b(g) = -2*g**2. Determine s(b(x)).\nAnswer: 12656*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {w: 5, b: 2, u: 5, f: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 855011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x + 54*x = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1247972296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3502 - -7452. What are the prime factors of o?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 144679*j + 289298. Calculate z(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887863917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 13 + 5 = -4*f, 4*f + 15 = c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3013, -3594, -4565, -5926, -7677?\n\"Answer: -195*u**2 + 4*u - 2822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from nzznononzznznod.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2084 and 37\/18?\nAnswer: 18756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178658, -358446, -540476, -725870, -915750?\nAnswer: -1111238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1237*p - 2102. Is t(-58) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/30)\/(32\/(-32))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(5) - (2 + (sqrt(5) - (sqrt(5) + 0)) + sqrt(5))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001 (base 2) in base 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3040587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3*w**2 + 4089*s**3 - 18*s*w**2 + 23*w**3 wrt w.\nAnswer: 2*s**3*w - 36*s*w + 69*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25869531889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 12\/(-16) + (0 - (-5)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 118*z - 17553. Determine t(151).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*r*r)**(-29) assuming r is positive.\nAnswer: r**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 - 4 + 26*x**2 - 18*x**2.\nAnswer: 26*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213145 (base 6) in base 3?\nAnswer: 10021002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 - 13*p**4\/12 + 3*p**3\/2 - 21*p**2\/2 + 35*p - 18. Give x(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/4 + 81*d**3 + 759*d**2 - 77112*d + 679728 = 0. Calculate d.\nAnswer: -68, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -28 - (9\/54 - 745\/(-30)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -45 + (0 + 3 - 2). Let m = x + 50. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868 equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y - 4, y - 369 = 2*j. Let d = 194 + j. Solve -6 = 2*i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566911?\nAnswer: 19, 82469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4541.892l in millilitres?\nAnswer: 4541892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 2\/7, -0.1, -1\/4, 3.266, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, 16, 4.\nAnswer: -25, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1325, 1327, 1329, 1331?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x**3 - 3*x**2 + 8*x + 10. What is v(-2)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182947 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/8 - 2120\/70?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18411.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**3\/w))**(-8) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42 + 85 - 5 + 25)*(-2 + 2*c**2 + 2) + (0 + 2*c + 0)*(2*c - 2*c + 2*c) to the form d*c**2 + v + h*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -502.2 + 502. Which is the closest to -1? (a) 0.4 (b) 43 (c) g (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/157547 or 0?\nAnswer: -50\/157547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/60 + 5*w**4\/24 - w**3\/6 - 4*w**2. Let i be z(5). Let p(y) = -y + y**2 + 2*y**2 - 8*y**2. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**2 - 2*s + 1. Let c(q) = 4*q**2 - q. Let i(u) = 9*c(u) - 4*d(u). Let g = -980 - -976. What is the tens digit of i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*a + 19. Let n(r) = r**3 + 2*r**2 - 8*r + 3. What is the remainder when 8\/(-56) - 822\/a is divided by n(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1393, 2785, 4177, 5569?\nAnswer: 6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9190400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107348325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 104*28*11\/(-2464)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (5 - 10) - (-13 + 19).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 49*v - 2362. Let c be k(55). Calculate the highest common divisor of c and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32154, -14, 3.\nAnswer: -14, 3, 32154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-17)\/(-34))\/(1\/6). Suppose 0 = p*u + 3*o + 6, 1 = -o - 0*o. Let s = u - -1. Solve 4*a - 8 = -s*a - 3*q, 0 = -3*a - 2*q + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*a**4*w**2 + 2*a*w**2 + 7*a*w + 4*a wrt a.\nAnswer: 2232*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 = 108. What is the lowest common multiple of 18 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(((f*f**(-18))\/f)\/f)))\/f*f)\/f*(f*f\/(f*f**(-2\/3)))\/f*f**(-6\/7)*(f*(f*f*f*f**(2\/15))\/f*f)\/f)**(-14\/9) assuming f is positive.\nAnswer: f**(1264\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2\/2 + 5*q + 12. Determine a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31299, 4, -5, -3, 1, 0.\nAnswer: -31299, -5, -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r = 31. Suppose -4*n + 2068 = 1908. Let j = n + r. Solve -z = q - j, 3*q + 0*z - 37 = -5*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*v + 19 + 11, 0 = 4*v. Suppose -s + 67 = y*w - 12*w, w = 2*s + 34. What is the greatest common factor of w and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + 5.08. Let n = -1.837 - 0.193. Let v = n + 0.03. Which is the second smallest value? (a) 1 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:29 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*u + 10. Let w = 61 + 15. Suppose 0 = 5*q + 6 - w. Solve u*l = -q - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from zuxxugoxzz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 7296*p - 7296*p - 1.\nAnswer: 5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12248 is divided by 213.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 119 - 31. Let p be (-80)\/(-30)*6\/(-1). Let o = p - -36. What is the greatest common factor of o and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -79*p + 44. Let l be a(-4). What is the highest common factor of 510 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.26 - -0.64. Let q = -25.1 - -25. Let h = q - g. Which is the nearest to -1? (a) 0.1 (b) -2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796066 is divided by 168.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48190)\/1185)\/((-2 - (-24)\/15)\/((-12)\/(-20)))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -135189585 - -29653\nAnswer: -135159932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2849787738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*h + 664289 = -1953019. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 0)\/(12\/(-56)). Let r = 297 - a. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -594, -893?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 305*z - 114*z - 137*z - 133*z - 2*z**3 + 2*z**2 to the form c + r*z**3 + j*z**2 + o*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45766 = 36*r + 46954 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(105\/6) - (-6993)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167 or -381?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/6, 22, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-7)\/(-35))\/((-4)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22864.515 months?\nAnswer: 1905.37625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 + 4 - 16*d - 2*d**2 + 8*d - 1. Let k be g(8). Let j = -326 - -329. What is the highest common divisor of k and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)\/w)\/(w**(6\/5)*w))**(-10) assuming w is positive.\nAnswer: w**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-5 + (-88)\/(-16)). Factor -4\/7*y + 8\/7*y**3 - 6\/7*y**4 + b + 2\/7*y**2.\nAnswer: -2*y*(y - 1)**2*(3*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1054224 + -145?\nAnswer: -1054402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(-1)*(-372)\/1395?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -52 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:41 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -422 + 134. What is the remainder when u is divided by (-20)\/(-2) + (23 - 27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxdjxjdlzzldlydxdxd. What is prob of sequence yj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3) + (-2)\/(-6). Suppose -4*d + 2*z + 27 = 9, -d + m*z = -17. Does 9 divide ((-1)\/(-2))\/(d\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5144*n. Let m(j) = -32*j**2 + 119*j**2 - 26*j**2 - 31*j**2 - 26*j**2. Give a(m(z)).\nAnswer: 20576*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3314 + 10333. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1531 - 1107. Calculate the greatest common divisor of s and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 271, -639, -2509, -5345, -9153, -13939, -19709?\n\"Answer: -t**3 - 474*t**2 + 519*t + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69507 divided by -23169?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6\/5 - 56\/245?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -91294 divided by -45647\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*b - 15, 37 - 53 = b + 2683*l - 2677*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 116464?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1279 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxyyyyyxyyyyxyxyyy. Give prob of sequence xyy.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360333062 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 3, u: 6, y: 2, p: 6}. Give prob of picking 1 p and 1 u.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 - 487 = 0. What are the prime factors of g?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10935060 and 20355.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183685?\nAnswer: 5, 17, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*i**3 + 3946*i - 3944*i + 3*i**2 + 29 + 0*i**2 as h*i + w + r*i**2 + s*i**3 and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 548028 and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 15*t**2 - 9*t - 10. Let s be k(-8). Suppose -4*u - r + 2*r + 36 = 0, u + r - 4 = 0. Let a = s - u. Which is bigger: -11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:19 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1854*y**3 + 55*y**2 + 101*y - 17. What is the tens digit of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770381 less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*w**2 - 4 - 99*w + 4 + 98*w as b + t*w**2 + y*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/350 and 69\/82460.\nAnswer: 412300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.052\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 4, 0 in increasing order.\nAnswer: 0, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:41 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03206 + -49.38794. Let z = k + -4.68. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3009435?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l - 15 = -3*d + 53*l, d = -5*l - 7. Put -4, d, -1 in increasing order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 11. Let v(y) = -y - 1. Let k be v(-2). What is the remainder when b is divided by k\/(-6)*-2*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/19 (b) -6 (c) -0.1 (d) -13 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = -4*y - 28, 0 = -2*a - y + 6. Let t be 2\/a*(-1 - -5). Let n(i) = t*i**2 - 2 + 1 + 0 - 2*i. Determine n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147952 + -34324915\/232. What is the common denominator of -9\/1160 and s?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let a = 239 - 240.21. Let x = a + 1.71. Sort n, -0.4, x.\nAnswer: -0.4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43301 (base 8) in base 15?\nAnswer: -5578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154890 and 3870.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 140, 223, 310?\n\"Answer: 2*w**2 + 73*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101756*-0.2\nAnswer: -20351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9224424 months?\nAnswer: 0.000768702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/21)\/6*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 269.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/4 + 235*u**3\/2 + 943*u**2\/4 + 118*u = 0. What is u?\nAnswer: -1, 0, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22629*h*t**4 + 241*h*t**2 + 24*h*t - h - 9*t**3 + 1442565*t wrt t?\nAnswer: 271548*h*t**2 + 482*h - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(28\/20 + (-6)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 16*w - 12. Let k be z(-8). Which is the closest to 2\/3? (a) 1\/5 (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 11\/4. Let x(i) = -29*i**3 - 5*i**2 + 11. Let z(w) = 15*w**3 + 3*w**2 - 6. Let h(l) = g*x(l) + 5*z(l). Differentiate h(u) wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -91368*s - 3928824. Give o(-43).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36430474 or -36430431?\nAnswer: -36430474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2173357 is divided by 13252?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*4\/6 - (95\/57 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2236*f**3 + 24408*f**2 + 28768*f + 3840 = 0.\nAnswer: -40\/43, -2\/13, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - (sqrt(270) + sqrt(270)*-3))*-1 - sqrt(270))\/sqrt(10) + (2*sqrt(192)*-4*6)**2.\nAnswer: -12*sqrt(3) + 442368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 5507012?\nAnswer: 5506997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - q = 28, -16*k - 4*q + 91 = -20*k - q for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4 + 3*f**3 + 9*f**3 - 8*f**2 - 8*f**4 + 2*f**5 + 4*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -57. Suppose -7 = -c - 4*c - 3*a, -4*c - o = -4*a. What is the tens digit of (188\/c)\/(-2) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10932416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*n**3*y + 439*n**3 + 2*n**2*y + 935*y + 3 wrt n?\nAnswer: -222*y + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 4*p**2 - 5*p. Let b be r(5). Suppose 2*c + 37 - 263 = b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77a587 (base 15) to base 3\nAnswer: -101201211210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**2*q**3 + 3*h**2*q + 22407*h**2 - 582*h*q**3 - 305*h*q**2 - 2*q**2 - 6*q wrt h?\nAnswer: 20*q**3 + 6*q + 44814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - ((-3 - 12) + 11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 2*u**2 + 2*u + 1. Let x(d) = 3*d**3 - 2*d**2 + 2*d + 2. Determine 5*l(t) - 4*x(t).\nAnswer: -2*t**3 - 2*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50364169 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5410.568384\nAnswer: 5412.568384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 15?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111752091 divided by 4?\nAnswer: -111752091\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166952710 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -10113?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:50 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 8*v + 2*y - 43, -9 + 4 = 5*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2)\/((-2)\/4) + 5. What is the remainder when 130 is divided by 387\/27 + (-2)\/3*b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 9*j**2 + 8*j - 2. Let r be g(-8). Let p = -0.05 - 0.05. Which is the closest to p? (a) r (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daa when three letters picked without replacement from {a: 9, u: 1, d: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -168*u**2 + u - 5. Let f be 1 - 2\/(-2 - -1). Suppose f*s - 19 = -b, -s + 6*s - 3*b = 13. Let r be j(s). Round r to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.846 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -199 (b) -3\/4 (c) 0.0739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2476 divided by 1238.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 117*w**3 + 267*w**3 - 10*w - 17*w + 28*w - 38*w**4 + (2 - 4 + 3)*(-3*w**4 - 3*w**4 + 5*w**4).\nAnswer: -39*w**4 + 384*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxyxyy. What is prob of picking 1 y and 1 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 14*a + 18. Suppose 5*i + 6 + 59 = 0. What are the prime factors of p(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 175*x + 995. Determine s(-52).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -352 + 6*a - 253*a**2 - 6*a + 349 as c*a + r*a**2 + v and give r.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tubgabaabbiub. What is prob of picking 1 u and 1 i?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 2 c when four letters picked without replacement from {p: 1, d: 4, a: 1, c: 7, q: 2}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7) + -3 + (sqrt(343)*2 - sqrt(343)))*-2)**2*5 + 5.\nAnswer: -640*sqrt(7) + 9045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 11*q**2 - 4*q. Let v(d) = d**2. Let r(u) = -2*f(u) + 18*v(u). Find l, given that r(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -18*p**4 - 202*p**3 - 548*p**2 - 112*p = 0?\nAnswer: -7, -4, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 14, z: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3 + 672592*b**2*y + b - 23*y - 337164 wrt b?\nAnswer: -6*b**2 + 1345184*b*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-5)\/(-15)). Find the third derivative of 2*s**l + 2*s**3 + 2 + s**3 - 2 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z = 63*z + 149580. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.4 (c) -8 (d) -1\/3 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juu when three letters picked without replacement from jujj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 - z**3 + 2*z**3)*(3 + z - 3) - 2*z**4 + 3*z**4 + 0*z**4 - z**4 - 1830 + 1830 - 2*z**4 to a + k*z + s*z**2 + m*z**4 + r*z**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b3a (base 16) to base 6\nAnswer: -21150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 8:44 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*y = -2*i - 141, -2*i - y = 282. Let x = 148 + i. Let k(m) be the third derivative of -m**6\/120 + 2*m**5\/15 - m**4\/4 - m**3\/6 - m**2. Give k(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 42 = 4*t, 4*v - 143 = 2*t - 31. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*h = 2*h - 1208005, -a = 3*h - 301985. What is a rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 29*v**2 - 3*v - 2. Let t be u(-1). Let o be (t\/35)\/(3\/126). Let c = o - 25. What is the remainder when 54 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 0. Let v = j - 3. Suppose 2*w + 10 = -b, -b + 9 = -3*w - 1. Put -2, w, v in descending order.\nAnswer: -2, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23837 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + 0*k)*(-9134 + 24279 + 14482) to the form p*k + v and give p.\nAnswer: 29627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 - -31.7. Let w = 28.0013 - i. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98837783 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, b: 2, u: 3, f: 5}. Give prob of picking 1 u, 1 f, and 1 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -446*u**2 - 184*u - 4. Determine r(-1).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (319310\/(-5))\/((-92)\/46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 2. Let j be r(0). Suppose -5*o + t + t = 45, j*t = 3*o + 27. Let x = 24 + o. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 + 13 + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/3 + 334*t\/3 - 404668\/3 = 0. Calculate t.\nAnswer: -541, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196316160 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36842)\/1690)\/(2\/10*-1).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16875 and 53595.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 3. Let a be r(6). Let n be 1*2 + 3\/a. Sort 1, -0.3, n in descending order.\nAnswer: n, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 70. Let p be (-4)\/(-2) - (g - 60\/(-16)). Let n = -19.23 + 19. Which is the biggest value? (a) 1\/2 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*v + 18, 3*v - 3*v = -15*l - v - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 5*v = 9, 0 = -3*w - 4*v + 18. Let x = -69.45 + -1.55. Let p = -72 - x. Which is the nearest to -6? (a) p (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 24*b + 919. Let u be j(-38). Solve x = -u*n + 5*n + 5, 2*x = -2*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, 0.1025, -4, -2\/3?\nAnswer: 0.1025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.529742 millilitres in litres?\nAnswer: 0.008529742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -1.19. Let x = c + 1.20000026. Round x to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**16*x*x)*x**(-10\/9) assuming x is positive.\nAnswer: x**(-163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32670945881731\/1048770 + -1339521920\/43. Let y = -24\/1355 + o. What is the common denominator of -69\/4 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*i**4 + 41*i**4 - 4*i - 2*i**2 - 36*i**4 - i + 6*i to the form o*i**2 + u*i + j*i**3 + c + x*i**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 2. Let k(c) = -c**2 + 5*c + 5. Let z(y) = 5*h(y) - 2*k(y). Let d(u) be the first derivative of -8*u**3\/3 - 3. Give d(z(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -39*u + 34*u. Suppose 2*l - z - 33 = -102, -l - 4*z - 21 = 0. Let p = l - u. Calculate the smallest common multiple of p and 11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1002)\/68 - (-2757)\/(-187476)?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 98*n + 154. Let c be g(11). What is the highest common divisor of c and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1204084 + 10*n**3 + 1204084.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48975373 to the power of 1\/2, to the nearest integer?\nAnswer: 6998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.9. Let c = -3 - -2.5. Let x = c + f. Round x to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-15) + 8\/(-3) + 5. Suppose 3*d - 4*d + 169 = -t*r, -4*d = 3*r - 706. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1903090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c + 2. Let p(s) = -12*s - 3. Let v(d) = 3*p(d) + 4*w(d). What is v(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*p - 5*l, -46*p + 50*p + 4*l + 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20.088217 and 1.9?\nAnswer: 21.988217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1537)\/(-3074))\/((6\/(-32))\/(-1))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 5. Let g = -13 + 18. Let b be a(g). Suppose 31*q + 42 = 17*q. Sort q, b, 5.\nAnswer: q, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 822755 - -146532. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1702678 is divided by 21829?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*u + 12, u = -5*k - 3*u - 10. Find the common denominator of 24\/7 and (k\/(-12)*-4)\/((-222)\/(-171)).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*z + 21 = 0, -4*z = 3*j + j - 4. Solve -o + 5*o - 17 = -5*f, j*o = -4*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. What is the nearest to 2\/5 in l, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2. Suppose 5*f - 53 = 4*a, a + 2*a + f = -16. Let g be a\/(70\/(-65))*(-34)\/(-1). Let r(y) = g - 221 - 4*y. Determine r(t(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006483 rounded to 4 dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 21282098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 5653?\nAnswer: 22612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 339165?\nAnswer: 678330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 852 and 1572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12091785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, o: 1, k: 2, m: 1, r: 1}. What is prob of sequence kmr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.9. Let f = 5 + -6. Let w be (-41)\/(-205) - 66\/(-45). What is the nearest to f in 5, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17110, 17086, 17052, 17014, 16978, 16950, 16936, 16942?\n\"Answer: r**3 - 11*r**2 + 2*r + 17118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 9*k**2 - 15*k + 7.\nAnswer: -(k - 7)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:52 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**2 - 5*t - 4. Let u(i) = 6*i**2 + 3*i + 2. Suppose 5*j - 8 + 3 = -5*m, 2*m - 2*j + 14 = 0. Give m*x(v) - 5*u(v).\nAnswer: 9*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 85*p - 262. Give w(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + (8 - 14))\/(6\/(-6)). Solve f + 3 = t, 0 = -27*c + 24*c + f - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -129, 59, 387, 849, 1439?\n\"Answer: -m**3 + 76*m**2 - 33*m - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 11. Suppose 3*g = q + 47. What is the least common multiple of 14 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2\/9*j**4 + 8\/9*j**2 + 2\/9*j**3 + 0 - 8\/9*j = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 9. Let p = -19 - -11. List the prime factors of m(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 184.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-3)\/(-9) + 1. Let q be (-2 - (3 - 8))\/x. Suppose 13 = n + q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/22, 0.4, 2\/115, -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-1 + (-1180)\/(-1174)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 12 + 13 + (-7 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 4 + (-952)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 8*d. What is the nearest to -0.03 in -3, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((-9)\/63) + 601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-512)\/(-1728)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34049560 + -166025.\nAnswer: -34215585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4430 and -0.056192.\nAnswer: -4430.056192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 67 + 102*x - 51*x + 60*x + 215*x.\nAnswer: 326*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 85*k**2 + 27*k + 146. What are the prime factors of d(-5)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -14 (c) -1 (d) -0.2 (e) 1\/6 (f) 310\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y + 3. Let i = -11 - -15. Suppose -5*d + 30 + 10 = 0. What is the remainder when l(i) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 0.1 (c) 2\/14605 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 52*g**2 + 501*g + 429. What is s(10)?\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:43 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24\/75*105\/84\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(40))\/sqrt(8) + (sqrt(5) - (sqrt(5) + 3 + sqrt(5) + 0)**2).\nAnswer: -29 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250560376 divided by 11389108.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -221113?\nAnswer: -221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*r + 3*r. Is 16 - (-6)\/r - 0 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65845.4 litres?\nAnswer: 65845400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**3 + 12*t. Let u(l) = 17*l**3 + l**2 - 37*l. Give -8*m(p) - 3*u(p).\nAnswer: -3*p**3 - 3*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shv when three letters picked without replacement from vsvvvvvvvsvsvvvvh.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 17*g + 57. What is y(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3028\/(-1020) - -3) + (-188)\/705?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*f - 182 + 182 in the form j*f + s and give j.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -12. Let t = -17 + i. Let r(z) = 2*z**2 + 2*z**2 - 4*z**2 + z**t. Let a(w) = 5*w**2. Give r(a(v)).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/308 and -193\/1320.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -2551*f**7\/210 - 2345*f**3\/6 - 45*f**2 - 10. What is the first derivative of p(g) wrt g?\nAnswer: -10204*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9998.152 tonnes in kilograms?\nAnswer: 9998152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4212073 (base 8) in base 2?\nAnswer: -100010001010000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.9103\nAnswer: -2.7309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = -4*r - 4*o, -2*o = 5*r + 29. Let s = r - -22. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*b - 41, -3 = 4*z + b + 34. Calculate the remainder when (-1 + -1 - -2) + 39 is divided by (39\/6 - -1)\/(z\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006 * 4.2.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.6 from -0.31.\nAnswer: -5.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 + 2028*w - 342732 = 0.\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*h = s - 40, 8 = 3*s + 5*h. Suppose -2*i + 2*x - s*x = 34, 55 = -5*i - 4*x. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3 - 2*a**2 + 2828*a + 1821?\nAnswer: 3*a**2 - 4*a + 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 56\/(-10) + 2 + 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + -4 + (9 - -19) + 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 10:44 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/9 (b) 1 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((-5)\/5)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.4. Let f = 18.3 - 3.3. Let z = -12 + f. Put z, 0.1, i in increasing order.\nAnswer: 0.1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, -2*h = -o - 4*o + 30. What is the least common multiple of 4 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/((sqrt(120)*2)\/sqrt(12)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 27667*x + 27666*x = -40, 2*q + 5*x + 23 = -q - 29 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 8, 2\/9, 3\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 2:53 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 4*v + 3. Let z = 185 - 395. Let d be 5*7\/(z\/12). Calculate p(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178605 and 395430.\nAnswer: 96089490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 22*a**2 + 30*a + 47. Suppose 2*w + 5*z + 58 = 0, 3*w + 30*z - 27*z + 69 = 0. List the prime factors of k(w).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12*j + 16. What is the tens digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 31. Let l be (-2 + (-10)\/(-4))*2. What is the greatest common divisor of a and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twte when four letters picked without replacement from ektwkktcctektkck.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 327792 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 911 - -1960. Calculate the highest common divisor of 198 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 235 (c) 8 (d) -0.2 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u - 1069 - 1197 = -810 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 709\/2127 - -13*4\/(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 43. Let k be ((49\/(-14))\/(-7))\/(x\/(-8)). Suppose -k*q - 3*q + 25 = 5*v, -2*q + 6 = v. Solve 0 = -v*b - 4 - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 1, v: 1, n: 1, f: 4}. What is prob of sequence nzz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/396 and 61\/5849856?\nAnswer: 64348416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 7}. What is prob of sequence kk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4 - 0. Let z be (3 - 3)*(-1 + g). Solve -2*s + 12 = 4*d, 0*s - 2*s - d = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 468853, 1875441, 4219767, 7501831?\n\"Answer: 468869*q**2 - 19*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91\/44 - 20\/11. Let v = -11 - -11. Let p = 0.3 - v. Sort -0.4, p, j in increasing order.\nAnswer: -0.4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 70. Suppose 6*w - w = k. Suppose 2*b - w - 63 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - 1*(-12)\/5. Let s = 25 + -20. Solve s*x - 8 = w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6351288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 558481?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24094 - 24094 + 44*b**3.\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 4*r**2 - 6*r + 2. Let t be g(-5). Let k = t - -1. Suppose 40 = 5*b + 10. Calculate the smallest common multiple of b and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -2039, -2\/11, -5.\nAnswer: -2039, -5, -2\/11, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 6. Let n = c + -3. Suppose -2*f + f - n*v + 23 = 0, 3*f = -3*v + 57. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143128 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77075 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8710 = 1111*k + 32726 - 5202 + 28204 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -64*h. Let n(t) be the third derivative of 0*t**3 - 1\/24*t**4 + 37 + 0*t - t**2. Give s(n(i)).\nAnswer: 64*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 143080 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = q - 2, 4*q = b + 7 - 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -10. Differentiate u + 0*u + 0*u + f wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16836764 to the power of 1\/2, to the nearest integer?\nAnswer: 4103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50812349.\nAnswer: 7, 173, 41959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 56392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1149037, 1149028, 1149019, 1149010?\n\"Answer: -9*m + 1149046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and -37\/123?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let l(w) = -18*w + 4*w + 7*w - 17*w. What is l(a(u))?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 2. Let a(o) = -o**2 + 37*o - 36. Let v be a(36). Suppose v = x + t, -3*x + n*t = 2*x - 30. Calculate the greatest common factor of x and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 3)*7*(-322)\/4508.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*q - 3*k, 2*k + 12 = -15564*q + 15568*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 65.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.716 - -0.967. What is f rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 1:09 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) -0.24671 (c) -0.3 (d) -63 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o + 1. Let g be (21\/(-18))\/((-15)\/(-90)). What is w(g)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose -3*r - 5*x = 6 + p, -2*r = -3*x - 13. Let h be (8 + -11)*r\/(-6). Let m(v) = 2*v. Give m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*t + 152*t + 169*t + 147*t - 635*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247 and 26417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f + 102. What is t(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6406 and -160.\nAnswer: -1024960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and 1440.418?\nAnswer: -53295.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1068 + 1140 - (2 + 1 + 11).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -7*u - c - 18, -19 = 5*u + 3*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155319\/5 - 31063. Suppose 2\/5*a**2 + 2\/5 - z*a = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(300)*-3))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:10 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - v + 58473, 4*c - 58483 = -12*v + 9*v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2dcaf + -4?\nAnswer: -2dcb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 5*y - 9 - 2*y + y.\nAnswer: 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 + 19*q**2 + 13*q - 35. Let g(i) = -i**3 + 10*i**2 + 10*i - 8. Let u be g(11). Let j be r(u). Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + -5*(sqrt(245) + 1) + 6*(sqrt(245) - ((sqrt(245) + -2*sqrt(245) - sqrt(245)) + 2 - sqrt(245))**2)).\nAnswer: -1022*sqrt(5) + 26516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {u: 8, b: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 + -0.81. Let m = 0.47 + -15.47. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 57.\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-924)*-21*(-12)\/(-70).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-52)\/(-8))\/(5\/(-10)). Let g = -27 - y. Let a be (3\/7 + 6\/g)\/(-1). Is a >= 3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-1 - 2))*(-153)\/15. Suppose -53*l = -z*l - 2120000. Round l to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 + 91586927.\nAnswer: 91586867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -875196.7 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2292 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:29 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0664 + -0.4.\nAnswer: -0.3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.41257 weeks to microseconds.\nAnswer: 2668722336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = m, 5*h - 140 = -3*m. Calculate the remainder when 151 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 23*r. Let o(s) = 12*s. Let a(d) = -7*o(d) + 4*w(d). Let q(u) = -2*u**2. Calculate q(a(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010000011010000000?\nAnswer: 1010000011010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 1, -10 in decreasing order.\nAnswer: 1, -10, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 8*v**3 + 16*v**2 - 8*v - 12 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4)*210960\/(-90). Solve y*i - 12 = 1752*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 23*i + 5. Let k be v(4). Suppose -b = 2*b - 135. Solve 5*s = 5*w + b, 4*w + 4*s + k = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 2*r**3 - 3*r**3)*(-9 - 21 - 3) - 25 - 224*r**3 + 25.\nAnswer: -158*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**2 + 579*z + 162. What is c(-48)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 4.8 (c) 1\/3 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9*2)*(-660)\/(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5234 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812384.\nAnswer: 2, 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 434*p + 114*p - 3 + 71*p + 3 to y + l*p and give l.\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1 - 4 + 2 + i**2. Let p(q) = -4*q**3 - 3*q - 2. Let s(v) = 7*v**3 + 5*v + 4. Let j(c) = -5*p(c) - 3*s(c). Let l be j(0). Calculate z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:32 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h - 19. Give b(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 2. Let u be k(1). Suppose -4*t = l + 2*l + 17, 0 = 4*t + 20. Let w be (4 - 3)\/(0 + l). What is the nearest to 2 in 0, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599011?\nAnswer: 7, 83, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/8 - 2*u**3\/3 - 55*u**2 - 97. Let p(f) be the second derivative of n(f). Let x(i) = -i. Calculate x(p(j)).\nAnswer: 3*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0024 and 0.1.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-16)\/(-3) - (-12)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 20 - 79 - 3*o + 15 to the form r*o + h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 409 - 511 - (27 - 26 - (4 - 0) - -11).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-6 + sqrt(275)*-3 - -6*(sqrt(396)\/sqrt(4) + sqrt(99) + (sqrt(99) - (0 + sqrt(99)))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1799226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 608 - 378. Let w = x - 87. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) -6 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:53 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 0.2. Suppose -8*g + 4*m = -9*g + 36, 5*m = -3*g + 73. Suppose -g*d - 26 = -10. What is the closest to 2 in -1\/3, d, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from kzgpk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3867 + -3 + (-34 - -41).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 - 5)*(4 - 2*l**5 - 4 + 5*l**3 - l**5 - 5*l**3 + (0*l**3 + 2*l**3 - l**3)*(0 + l**2 + 0) + 0*l**5 - l**5 - l**5 - 2*l**5 + l**5 + 3*l**5).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + o**2 - 2*o + 29. Let f be a(0). Let h = f - 23. Let j(x) = 68*x + 1. Is j(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3\/4 - 288*h**2 + 13419*h = 0.\nAnswer: -426, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 289 divided by 3\nAnswer: 289\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/((-946)\/(-473))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 3)**2 - (sqrt(68) + 1 - sqrt(68))**2.\nAnswer: 42*sqrt(17) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p - 75*p = 0. Which is the second smallest value? (a) -1\/7 (b) p (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*o - 685860 + 685857 + 431*o.\nAnswer: 800*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 2:01 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeebbeeeeebeeeee. Give prob of sequence ee.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*w + 2. Let g = -27 - -29. Suppose -g*q - 9 + 37 = 0. Calculate the greatest common divisor of w and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1437 * 31203\nAnswer: -4483.8711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243 + -1?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/20 + 5*g**4\/12 - g**2 + 9*g. Determine n(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zvvzvzv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, 1, 2, 89110, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 187*m + 18507. Give p(-98).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 519\/14 + 1\/(-2). Let l = s + -37. What is the biggest value in l, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -174\/5. Let u = -14.179 + 13.679. Let y = 2 + -1.9. Which is the biggest value? (a) u (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7290.3 minus -445.4702?\nAnswer: -6844.8298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15059901, 15059902, 15059905, 15059910, 15059917?\n\"Answer: r**2 - 2*r + 15059902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 5:56 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016279675 rounded to 5 decimal places?\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {s: 2, h: 1, l: 2, g: 2, x: 4, f: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + i - 2)*(3 - 2 + 1)*(-3 + 1 - 3) - 2*i + 2 - 2 to l + c*i and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h - 24*h**3 - 4*h**4 + 15*h + 21*h - 58*h - 4 + h**2 + 3*h**3 in the form a*h**4 + w*h + n*h**2 + d + m*h**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8253317*k. Let h(t) = 8*t**2. Give h(n(l)).\nAnswer: 544937932019912*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -43. Let l be c\/(-2)*(-40)\/500. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88018855 divided by 5\nAnswer: 17603771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 9*c. Calculate x(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 653\/7. Let i = 1\/10 - -3\/10. What is the nearest to 0 in 2\/11, f, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) + 3124\/462 - 6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1650.96 + 1687. Let p = 0.04 - q. Let c = 35.9999961 + p. Round c to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8032, 8031, 8030, 8029, 8028?\n\"Answer: -w + 8033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*r**3 + 57*r**3 + 16*r**4 + (-2 + 2 - r**2)*(2*r**2 + 2*r**2 - 3*r**2) + (2*r**2 + r**3 - 2*r**2)*(5*r - 10*r + 4*r) + r**4 + 0*r**4 + r**4.\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*g - v, 0 = g + v + 12 - 55. Calculate the remainder when g is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 151 - 572 = -2*l, 4*l - 162 = -2*p. Is 37 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7677049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*3*7\/(-63)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 u when four letters picked without replacement from {s: 2, u: 9}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 304250 rounded to the nearest 1000?\nAnswer: 304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -21. Suppose -2*a + 16 = 2*o, 1 - 5 = a - d*o. Solve 5 = -z + a*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-10))\/((-5)\/((-300)\/18)). Let y(d) = d + 7. What is y(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/5911 and -17\/11.\nAnswer: 65021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.049 * 0.0044.\nAnswer: -0.0002156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 813?\nAnswer: 80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/10 - 13\/(-5). Solve x*f - 4*s = -20, s = 2*f + 4*s - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 46358353*a - 46358353*a + 8*a**2. Let t(j) = 6*j**2 + 16. What is t(q(w))?\nAnswer: 384*w**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699659 is divided by 424894?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206.86 + 206.76. Let x = -8 + 11. Let j be ((-12)\/15)\/(x\/15). Which is the fourth biggest value? (a) m (b) j (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 5 + 1 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -2 - 3)*1*-9. What are the prime factors of (v\/(-1))\/(-2*(-1)\/(-34))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36972 - -6?\nAnswer: 36978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2746, 2759, 2790, 2863, 3002, 3231, 3574, 4055?\n\"Answer: 4*m**3 - 15*m**2 + 30*m + 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.18 + 1.98. What is the smallest value in 0.5, o, -5, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2*(-252)\/70. Factor -f*m + 12*m + 27 + 15*m + 3*m**2.\nAnswer: 3*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 11*x**2 - 11*x**2 + 2*x**3 - 4*x + 3*x**4 to the form j*x + c*x**4 + o*x**3 + z + b*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 18 = 3*q. Let d(h) = 8*h**2 + 6*h - 6. Let m(z) = 2 - z - 5*z**2 + 3*z**2 - 6*z + 5 - 7*z**2. Determine q*m(u) + 7*d(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 4*a - 3. Determine g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-1)\/3) - -6. Suppose -c - q*c = -268. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/30 - 7*u**4\/12 + u**3\/6 + 5*u**2. Let p be s(7). List the prime factors of p*(-115)\/(-10)*4.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*3\/(-33)*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) 0.02 (c) 2\/7 (d) -35.04 (e) -0.2 (f) -2\/9 (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 16.8.\nAnswer: 1024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, b: 5, e: 1, j: 6}. Give prob of sequence jrbr.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.233483 take away 0.1604?\nAnswer: -0.393883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 600. Let i(r) = 348*r. Determine n(i(a)).\nAnswer: -242208*a**2 - 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.15 from -1.76.\nAnswer: 15.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**2\/2 + 12*v - 5. Is 8 a factor of f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 + 9. Let j be o(7). Suppose -j = 9*d - 10*d. What is the lowest common multiple of 30 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 8 = -2*t + 4*n, 5*t + n = 4. Suppose -5*z + 2*z + 450 = t. Let g = 597\/4 - z. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v + 2. Let y be g(0). Let m = 3 + y. Let i = -4779 - -4778. What is the biggest value in i, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*o + 322, 28*z + 158 = 30*z - 3*o. Calculate the least common multiple of z and 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71993792767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 3*l + 4. Suppose -10*v = -47 - 73. Let o be v\/90 + (-2014)\/30. Let d = o - -63. What is m(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135800 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1 + 0) + 180\/18. Let a(d) = d**2 + 8*d + 5. Let o be a(-7). Let j(u) = -u**3 + 2*u - 1. Let i be j(o). Solve 4 = -i*c + r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -0.03308?\nAnswer: 1.03308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4070058254 - -194?\nAnswer: -4070058060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 + 3 + -4 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {v: 2, p: 4, o: 3, f: 1, x: 6}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 - s - 1. Let f(x) = -2*x**2 + x. Let a(w) = 2*f(w) + v(w). Calculate a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 83\/3 of a minute?\nAnswer: 1660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 681 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + 4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 5044\nAnswer: 85748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49444250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 515 - 464. Let j = k + 638. List the prime factors of j.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 49*j - 24 = -22*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 12:13 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 - 102*t**4 - 1188*t**3 - 5082*t**2 - 3993*t = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517 - 517. Which is the fourth smallest value? (a) x (b) 2.3 (c) -2\/11 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffsfscsefifsfeflsfss.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1714*c - 40850 - 16858 = -347*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 386 - 53. Suppose 0 = -109*d + s*d - 594. What is the greatest common divisor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2482 + aa2?\nAnswer: -16b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 606*k**4 + 34*k**3 + 28434*k - 2?\nAnswer: 7272*k**2 + 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1170)\/(-54))\/(-13))\/(15\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -286, -334, -410, -508, -622, -746, -874, -1000?\n\"Answer: c**3 - 20*c**2 + 5*c - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16*d\/((d\/(d*d**(-11)*d))\/d))\/(d\/(d*d**(-3)))**(-20) assuming d is positive.\nAnswer: d**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47314641 is divided by 39103.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-1\/3)*y**3*((y*y**0*y)\/y)**21 assuming y is positive.\nAnswer: y**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*y - 14 = -6, -12 = -q + 4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 6. Let q be u(3). Let s(l) = -l**3 - 4*l**2 - 2*l - 2. Let t be s(q). Let v = 31 - t. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5421 + 1?\nAnswer: -5420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10651 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119415048.\nAnswer: 2, 3, 2111, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/112 - (-40)\/(-320))*80\/20. Find z such that -12\/7*z + l*z**2 - 2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 45*c = 530. Solve -5*g - c = -15*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 6 = 0. Let f be (-11)\/i - 1\/(-3). Suppose -r - 5 = 3*y, f*y = -r + 2*y. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 8 + -3)*-1. Let u(n) = n. Let f(y) = 5*y. Let b(p) = q*u(p) - f(p). Let l(h) = 28*h**2. Give l(b(g)).\nAnswer: 252*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 1 z when three letters picked without replacement from kjzkkxqqkqqk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*15\/540*0. Is c greater than or equal to -1\/2028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208703824 divided by 4.\nAnswer: 52175956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37441278 is divided by 3091?\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -12*t**4\/7 + 271*t**3\/7 + 803*t**2 + 6648*t\/7 - 12528\/7 = 0.\nAnswer: -12, -29\/12, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2.433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*t**2 + 8*m**3*v**2 - 4*m*t**2*v**2 - 5*m*t**2*v + 2*m*t**2 - 2*t**2*v wrt v?\nAnswer: 16*m**3 - 8*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 33 - (2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 2051455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -460*k**2 - 7358*k + 39. Give l(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-275)\/20)\/((-1)\/4). Is 16 a factor of 7579\/x + 7 - (-8)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/25 + (-439)\/(-115) + -4. Do n and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 5:54 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51386681.6 and -0.07431.\nAnswer: 51386681.52569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -48230841?\nAnswer: -14469252.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657 = 41*n - 124 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*21\/504*12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 9*f - 181. Give x(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 - 7\/(-3). Suppose 0 = 4*m - q*g - 14, 2*m + 2*m - 4*g - 20 = 0. Suppose 2272 - 4701 = 175*x - 2254. Put -2, x, m in decreasing order.\nAnswer: m, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3499, 3500, 3501?\n\"Answer: g + 3498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001165201847 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - v + 4 = 0, 4*v - 5 = 2*t - v. Let j = -5 + 3. Let m = j + 3. Sort 3, m, t.\nAnswer: t, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-8))\/(3\/12). Suppose 8 - a = 3*y. What is the highest common factor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6888835 litres to millilitres.\nAnswer: 688.8835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 1)**2 + -2 + sqrt(208).\nAnswer: 26*sqrt(13) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192))**2 - (3*sqrt(75))**2)*6 + (1*sqrt(375))\/(sqrt(30)\/sqrt(6)*3).\nAnswer: -2898 + 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/27729 and 47\/91?\nAnswer: 194103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 21*t - 3. Let r(a) = -3*a**2 - 14*a - 2. Let c(i) = -3*r(i) + 2*s(i). Let x(y) = 2706*y - 2. What is c(x(b))?\nAnswer: 7322436*b**2 - 10824*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.177.\nAnswer: -0.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.641 take away 0.05?\nAnswer: -0.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 4. Suppose t = -4*t. Let m be h(t). Let a = 1447 - 1445. Sort m, a, 0.\nAnswer: m, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -11 in increasing order.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -1720 and 0.294 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57069019 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/738, 1, 5?\nAnswer: 1\/738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 5, 0, 4.\nAnswer: 0, 4, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 9*b - 77400. Round b to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrrfrrrrrrrfrrrrrrr. What is prob of picking 3 r?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}